SSC-CPO 2020 23 Nov 2020 Shift 2 Questions & Answers | TypeHindi

Question 1

Logical Reasoning

Study the given pattern carefully and select the number that can replace the question mark (?) in it. 16 14 19 391 270 ? 23 18 14

A

240

B

280

C

320

D

258

Question 2

Logical Reasoning

Select the number-pair in which the two numbers are related in the same way as are the two numbers of the following number-pair. 5 : 75

A

9 : 34

B

7 : 83

C

6 : 36

D

8 : 192

Question 3

Logical Reasoning

Which number will replace the question mark (?) in the following series? 37, ?, 61, 78, 97, 120, 149

A

51

B

48

C

42

D

60

Question 4

Logical Reasoning

Which number will replace the question mark (?) in the following series? 65, 85, 112, ?, 215, 305, 430

A

153

B

150

C

161

D

167

Question 5

Logical Reasoning

If 'A' denotes 'addition', 'B' denotes 'multiplication', 'C' denotes 'subtraction', and 'D' denotes 'division', then what will be the value of the following expression? 74 A (31 B 2) B 2 C (68 C 4) D (4 B 2) = ?

A

98

B

160

C

190

D

188

Question 6

Logical Reasoning

The sum of a number's square, its cube and its next number's cube is 205. What is the number?

A

6

B

3

C

5

D

4

Question 7

Logical Reasoning

Five persons Lopa, Kripa, Sumi, Jani and Sush are sitting in a straight line facing north. Sush is to the immediate left of Sumi. Jani is to the immediate right of Lopa. Kripa is between Sush and Jani. Who is sitting between Lopa and Kripa?

A

Either Sush or Sumi

B

Jani

C

Sush

D

Data is inadequate

Question 8

Logical Reasoning

Which of the following pairs of symbols will be on the opposite faces when the given sheet is folded to form a cube?

A

% and +

B

+ and @

C

# and &

D

@ and &

Question 9

Logical Reasoning

Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Martial 2. Margin 3. Martyr 4. Marking 5. Marvel

A

2, 1, 4, 3, 5

B

2, 4, 3, 1, 5

C

1, 2, 4, 5, 3

D

2, 4, 1, 3, 5

Question 10

Logical Reasoning

Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.

A

YNID

B

CSMH

C

IXSN

D

JYTO

Question 11

Logical Reasoning

In the following Venn diagram, the 'Pentagon' stands for 'Architects', the 'Circle' stands for 'Morning-walkers' and the 'Square' stands for 'Diploma holders'. The given numbers represent the number of persons in that particular category. How many diploma holders are also morning-walkers but NOT architects?

A

40

B

18

C

21

D

55

Question 12

Logical Reasoning

If 5 November 2019 was Tuesday, then what was the day of the week on 5 December 2011?

A

Monday

B

Sunday

C

Tuesday

D

Saturday

Question 13

Logical Reasoning

Which two signs should be interchanged to make the given equation correct? 4 × 7 + 36 - 12 ÷ 6 = 25

A

÷ and ×

B

× and -

C

÷ and -

D

+ and -

Question 14

Logical Reasoning

In a code language, if 'she was working' is written as '592', 'I was curious' is written as '267', and 'she is curious' is written as '987', then what will be the code for the word 'she' in this language?

A

9

B

5

C

8

D

2

Question 15

Logical Reasoning

Study the given pattern carefully and select the number that can replace the question mark (?) in it. 14 28 98 7 48 84 ? 60 60

A

4

B

12

C

15

D

16

Question 16

Logical Reasoning

Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster. ZODIAC : DOZCAI :: MISTER : ?

A

SIMRET

B

NITUFS

C

SMIRTE

D

SFUTJN

Question 17

Logical Reasoning

In a code language, if 'dish is tasty' is written as 'lam kam dam', 'it is sweet' is written as 'ram sam kam', and 'it ate dish' is written as 'ram dam pam', then how would 'tasty sweet' be written in this language?

A

sam lam

B

lam ram

C

sam dam

D

sam kam

Question 18

Logical Reasoning

Select the letter-cluster that can replace the question mark (?) in the given letter-cluster series. YM, WO, UQ, ?, QU

A

ST

B

RS

C

SS

D

TS

Question 19

Logical Reasoning

Pointing to a photograph of a girl, Dev said, "She is my wife's sister's mother's only son's daughter". How is Dev's wife related to that girl's paternal grandfather?

A

Daughter

B

Paternal aunt

C

Daughter-in-law

D

Sister

Question 20

Logical Reasoning

Select the correct option that indicates the arrangement of the following words in a logical and meaningful order. 1. Tissue 2. Cell 3. Organ 4. Human Body 5. Organ System

A

2, 1, 5, 4, 3

B

1, 2, 3, 5, 4

C

2, 3, 1, 5, 4

D

2, 1, 3, 5, 4

Question 21

Logical Reasoning

Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: No actor is an engineer. All engineers are magicians. Conclusions: I. No magician is an engineer. II. Some magicians are engineers.

A

Only conclusion I follows

B

Both conclusions follow

C

Either conclusion I or II follows

D

Only conclusion II follows

Question 22

Logical Reasoning

A total of 60 students are travelling in a bus. The ratio of the number of boys to that of girls is 2 : 1. Then, 15 boys get down and 5 girls get in the bus at the first stop, and 5 boys get in and 10 girls get down from the bus at the second stop. What is the ratio of the number of boys to that of girls in the bus after the second stop?

A

2 : 1

B

3 : 2

C

3 : 1

D

2 : 3

Question 23

Logical Reasoning

'A % B' means 'A is the sister of B'. 'A + B' means 'A is the father of B'. 'A ! B' means 'A is the brother of B'. If P ! H + Q % M + T % K ! J, then how is Q related to J?

A

Daughter-in-law

B

Paternal aunt

C

Maternal aunt

D

Sister-in-law

Question 24

Logical Reasoning

In a code language, 'NIGHT' is written as 'GHINT'. How will 'AMPLITUDE' be written in that language?

A

PDEILMTPU

B

ADELPIMTU

C

PDEILMATU

D

ADEILMPTU

Question 25

Logical Reasoning

Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation. 24 * 12 * 35 * 24 * 6 * 319

A

+, -, ÷, ×, =

B

×, +, -, ÷, =

C

×, ÷, +, -, =

D

÷, +, -, ×, =

Question 26

Logical Reasoning

Select the letter-cluster that can replace the question mark (?) in the given letter-cluster series. AGM, EKN, IOO, ?, UWQ

A

OSP

B

NSQ

C

MSP

D

OTP

Question 27

Logical Reasoning

Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.

A

SVAD

B

FJNQ

C

BFJM

D

LPTW

Question 28

Logical Reasoning

Study the given pattern carefully and select the number that can replace the question mark (?) in it. 9 8 12 6 3 8 45 ? 80

A

55

B

50

C

75

D

60

Question 29

Logical Reasoning

At the time of sunrise, Diksha and Arpita are sitting in a park with their backs facing each other. If the shadow of Diksha falls to the right of Arpita, then in which direction is Arpita facing?

A

East

B

North

C

West

D

South

Question 30

Logical Reasoning

Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster. CROW : XILD :: SPONGE : ?

A

HKLMTV

B

HKLMSY

C

HKLPRV

D

FJLMTV

Question 31

Logical Reasoning

Which number will replace the question mark (?) in the following series? 17, 37, 77, 157, 317, ?

A

637

B

649

C

634

D

683

Question 32

Logical Reasoning

Study the given pattern carefully and select the number that can replace the question mark (?) in it. 4507 7077 37 2503 3067 26 3307 4061 ?

A

67

B

45

C

72

D

24

Question 33

Logical Reasoning

In a code language, 'CLARITY' is written as '176'. How will 'FROZEN' be written in that language?

A

216

B

160

C

168

D

186

Question 34

Logical Reasoning

Select the dice that can be formed by folding the given sheet in the form of a cube.

A

1 and 4 can be formed.

B

Only 3 can be formed.

C

Only 2 can be formed.

D

None can be formed.

Question 35

Logical Reasoning

Which number will replace the question mark (?) in the following series? 58, 59, 51, 78, 14, ?

A

97

B

83

C

163

D

139

Question 36

Logical Reasoning

Eight friends A, B, C, D, E, F, G and H are sitting clockwise at equal distances from each other in the same sequence around a circular table facing the centre. If D is facing southwest, then who is sitting third to the right of H?

A

D

B

E

C

D

F

Question 37

Logical Reasoning

Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All plums are pomegranates. Some plums are lemons. Conclusions: I. Some pomegranates are lemons. II. No lemon is a pomegranate. III. Some pomegranates are plums.

A

Only conclusions I and III follow

B

Only conclusion III follows

C

Only conclusion I and II follow

D

Only conclusion I follows

Question 38

Logical Reasoning

Kartik walks 40 m straight from his home towards the North. Then, he turns left and walks 25 m. He turns left again and walks 15 m. Finally, he turns left and walks 25 m to each Point-X. What is the shortest distance between his home and Point-X?

A

22 m

B

55 m

C

15 m

D

25 m

Question 39

Logical Reasoning

In a code language, 'TORCH' is written as 'WRUFK'. How will 'WINTER' be written in that language?

A

ZLPWGU

B

ZLQWHU

C

YLQXHU

D

ZLQWHV

Question 40

Logical Reasoning

Select the letter-cluster that can replace the question mark (?) in the given letter-cluster series. ZBQS, WXLM, ?, QPBA, NLWU

A

STGG

B

TTGH

C

TTGG

D

TSHG

Question 41

GK

‘Sagarmatha’ is the Nepali name for:

A

Mount Everest

B

Makalu

C

Kanchenjungha

D

Lhotse

Question 42

GK

Which of the following Stupa sites is NOT located in the state of Uttar Pradesh?

A

Bharhut

B

Ramabhar

C

Chaukhandi

D

Dhamek

Question 43

GK

With which sport do you associate the name of Koneru Humpy?

A

Chess

B

Volleyball

C

Table Tennis

D

Basketball

Question 44

GK

The steel plant at Bokaro was set up in collaboration with ______.

A

Germany

B

United Kingdom

C

Soviet Union

D

France

Question 45

GK

Mehrgarh, a Neolithic settlement, is situated in the ______ province of Pakistan.

A

Khyber Pakhtunkhwa

B

Balochistan

C

Sindh

D

Punjab

Question 46

GK

Which of the following states was formed in the year 2000 ?

A

Uttarakhand

B

Odisha

C

Sikkim

D

Goa

Question 47

GK

In the context of Colonial India, the Hartog Committee Report is related to which of the following fields ?

A

Education

B

Urbanisation

C

Irrigation

D

Health

Question 48

GK

Iron nails become ______ after being dipped in copper sulphate solution.

A

greenish

B

brownish

C

greyish

D

bluish

Question 49

GK

Which of the following cities is situated along the Coromandel Coast ?

A

Vellore

B

Tuticorin

C

Tiruchirappalli

D

Tirunelveli

Question 50

GK

Which of the following Articles of the Constitution of India abolishes untouchability ?

A

Article 20

B

Article 17

C

Article 18

D

Article 19

Question 51

GK

Power exerted by an object moving in a straight line is equal to Force multiplied by ______.

A

Velocity

B

Displacement

C

Acceleration

D

Work

Question 52

GK

In which year was ‘Ramlila’ inscribed on the UNESCO Representative List of the Intangible Cultural Heritage of Humanity ?

A

2006

B

2010

C

2012

D

2008

Question 53

GK

Who among the following poets wrote under the pen name ‘Nirala’ ?

A

Jaishankar Prasad

B

Ramdhari Singh Dinkar

C

Maithili Sharan Gupta

D

Suryakant Tripathi

Question 54

GK

In which year did Prince Salim ascend the Mughal throne ?

A

1558

B

1625

C

1572

D

1605

Question 55

GK

Which of the following does NOT fall under the category of oilseeds ?

A

Groundnut

B

Soyabean

C

Oats

D

Sesame

Question 56

GK

‘Euderma maculatum’ is the name given to spotted ______.

A

bats

B

foxes

C

eagles

D

rats

Question 57

GK

The collections of Vedic hymns or mantras are known as?

A

Jnati

B

Samhita

C

Bali

D

Vidatha

Question 58

GK

Jayaprakash Narayan was fondly known as:

A

Rajarishi

B

Dinbandhu

C

Loknayak

D

Deshbandhu

Question 59

GK

Crocodiles have ______ heart chambers.

A

five

B

three

C

four

D

two

Question 60

GK

Saltpetre is another name for ______.

A

potassium chloride

B

sodium chloride

C

potassium nitrate

D

sodium hydroxide

Question 61

GK

In which state is the hill station Matheran located ?

A

Maharashtra

B

Tamil Nadu

C

Madhya Pradesh

D

Karnataka

Question 62

GK

Which of the following cities does NOT lie on the path of river Ganga?

A

Lucknow

B

Prayagraj

C

Kanpur

D

Patna

Question 63

GK

Which of the following is NOT a fossil fuel ?

A

Bitumen

B

Biomass

C

Petroleum

D

Asphalt

Question 64

GK

Who among the following was the first Portuguese viceroy of India?

A

Lopo Soares de Albergaria

B

Francisco de Almeida

C

Duarte de Menezes

D

Alfonso de Albuquerque

Question 65

GK

The Unique Identification Authority of India (UIDAI) is a statutory authority under the Ministry of ______.

A

Communications

B

Electronics and Information Technology

C

Science and Technology

D

Information and Broadcasting

Question 66

GK

The book ‘The Life Divine’ was written by:

A

Amrita Pritam

B

Swami Vivekananda

C

Sri Aurobindo

D

Dayanand Saraswati 

Question 67

GK

What are supporting roots coming out of lower ends of the stem of maize and sugarcane called ?

A

Tertiary Root

B

Prop Root

C

Stilt Root

D

Primary Root

Question 68

GK

Which of the following terms is associated with the architecture of a Buddhist Stupa?

A

Mandapam

B

Gopuram

C

Harmika

D

Garbhagriha

Question 69

GK

The Barabati Sports Stadium is located in the state of:

A

Odisha

B

Himachal Pradesh

C

Assam

D

Goa

Question 70

GK

If an object executes 10 oscillations per second, then its frequency in kilohertz is equal to:

A

1

B

10

C

0.01

D

0.1

Question 71

GK

Who is referred to as the ‘Darwin of the 20 th Century’ ?

A

Ernst Mayr

B

Har Gobind Khorana

C

Marshall Warren Nirenberg

D

Katherine Esau

Question 72

GK

In 1946, who among the following was made the interim president of the Indian Constituent Assembly ?

A

Sachindranath Sanyal 

B

Sarojini Naidu

C

S Subramaniya Iyer

D

Sachchidananda Sinha

Question 73

GK

The famous caves of Udayagiri and Khandagiri are located in ______.

A

Uttarakhand

B

Chhattisgarh

C

Tripura

D

Odisha

Question 74

GK

‘Udyam Abhilasha’ is a national level entrepreneurship awareness campaign launched by which among the following in 2018 ?

A

Arunachal Pradesh Rural Bank

B

UCO Bank

C

NABARD

D

SIDBI

Question 75

GK

Which of the following cities is farthest from the southern-most tip of the mainland of India ?

A

Kodaikanal

B

Warangal

C

Nanded

D

Bengaluru

Question 76

GK

The Indira Gandhi Award for National Integration is accorded by the:

A

Indian National Congress

B

Ministry of Home Affairs, Government of India

C

Ministry of Human Resource Development, Government of India

D

Indira Gandhi National Open University

Question 77

GK

On the night of ______ 1975, Indira Gandhi recommended the imposition of Emergency to president Fakhruddin Ali Ahmed.

A

22 nd May

B

25 th  june

C

1 st  July

D

1 st  June

Question 78

GK

In which Summer Olympic Games did PT Usha miss the bronze medal by 0.01 second in the Women’s 400 m Hurdles race ?

A

1988

B

1984

C

1992

D

1980

Question 79

GK

Who wrote the book ‘ India Wins Freedom ’ ?

A

Vijay Lakshmi Pandit

B

Maulana Abul Kalam Azad

C

Syama Prasad Mukherjee

D

Mahatma Gandhi 

Question 80

GK

The phrase ‘Gross National Happiness’ was first coined in:

A

India

B

Sweden

C

New Zealand

D

Bhutan

Question 81

GK

In which of the following states of India is the ‘Ambubachi Mela’ held every year ?

A

Kerala

B

Gujarat

C

Sikkim

D

Assam

Question 82

GK

‘Ramoji Film City’ is located close to which of the following cities ?

A

Mumbai

B

Hyderabad

C

Pune

D

Gurugram

Question 83

GK

Which of the following subjects is covered in the Eleventh Schedule of the Constitution of India?

A

Large scale industries

B

Health and sanitation

C

Police and public order

D

Major forest produce

Question 84

GK

How many times has Pakistan reached the final of ICC Men’s World Cup ?

A

2

B

1

C

0

D

3

Question 85

GK

As of 30 th June 2020, the Preamble to the Indian Constitution was amended ______.

A

twice

B

once

C

thrice

D

five times

Question 86

GK

What is the chemical symbol of Arsenic ?

A

Ar

B

As

C

An

D

Ac

Question 87

GK

In which of the following years was the National Food Security Act enacted in India ?

A

2012

B

2011

C

2013

D

2009

Question 88

GK

Which of the following barrages/dams is closest to the India-Bangladesh border ?

A

Durgapur

B

Massanjore

C

Farakka

D

Tilaiya

Question 89

GK

Which among the following is an ‘action-at-a-distance’ force ?

A

Friction

B

Tension

C

Pull

D

Gravitation

Question 90

GK

In the context of forest conservation, Navadanya Movement was founded in 1987 by ______.

A

Pandurang Hegde

B

Baba Amte

C

Vandana Shiva

D

Medha Patkar

Question 91

Arithmetic

A person travels a distance of 300 km and then returns to the starting point. The time taken by him for the outward journey is 5 hours more than the time taken for the return journey. If he returns at a speed of 10 km / h more than the speed of going, what is the average speed (in km / h) for the entire journey?

A

15

B

24

C

20

D

30

Question 92

Arithmetic

In ΔABC, &ang;A = 66°. AB and AC are produced to points D and E, respectively. If the bisectors of angle CBD and angle BCE meet at the point O, then &ang;BOC is equal to:

A

57°

B

93°

C

114°

D

66°

Question 93

Arithmetic

The given bar graph represents the number of boys and girls in five different schools. Study the graph and answer the question that follows. In which school is the percentage of girls the lowest?

A

B

C

E

D

C

Question 94

Arithmetic

A single discount equivalent to three successive discounts of 8%, 15% and 12% is:

A

68.816%

B

31.184%

C

17.5%

D

35%

Question 95

Arithmetic

A person's salary increased from Rs. 8,100 to Rs. 9,000. What is the percentage increase in his salary?

A

\(6 \frac 1 9 \%\)

B

\(11 \frac 1 9 \%\)

C

\(9 \frac 1 9 \%\)

D

\(13 \frac 7 9 \%\)

Question 96

Arithmetic

If a wheel has diameter 42 cm, then how far does the wheel go (in metres) in 12 revolutions? (Take π \(= \frac {22} 7\) )

A

21.45

B

15.84

C

23.27

D

17.64

Question 97

Arithmetic

The least number which is exactly divisible by 5, 6, 8, 10 and 12 is:

A

120

B

240

C

150

D

180

Question 98

Arithmetic

The given bar graph represents the number of boys and girls in five different schools. Study the graph and answer the question that follows. What is the average number of boys in schools A, B, C, D and E?

A

660

B

616

C

596

D

569

Question 99

Arithmetic

The students of a class donated a sum of Rs. 2,209. If each student donated as many rupees as the number of students in the class, then the number of students in the class is:

A

49

B

53

C

47

D

51

Question 100

Arithmetic

The given histogram shows the frequency distribution of the speed of cars passing though at a particular spot on a highway. Study the graph and answer the question that follows. The number of cars with speed between 70 km/h and 80 km/h is what percentage more than the number of the cars with speed between 50 km/h and 60 km/h? (correct to one decimal place)

A

29.7%

B

15.5%

C

22.2%

D

28.6%

Question 101

Arithmetic

The value of \(\left(5 \frac 1 4 \div \frac 3 7 \rm\;of\;\frac 1 2\right) \div \left(5 \frac 1 9 - 7 \frac 7 8 \div 9 \frac 9 {20}\right) \times \frac {11}{21} - \left(5 \div 2 \rm \;of\;\frac 1 2\right)\) is:

A

\(\frac {35}{24}\)

B

0

C

-2

D

\(\frac {15}{28}\)

Question 102

Arithmetic

If x 2 + 8y 2 - 12y - 4xy + 9 = 0, then the value of (7x - 8y) is:

A

12

B

9

C

21

D

5

Question 103

Arithmetic

A rectangular lawn whose length is twice of its breadth is extended by having four semi-circular portions on its sides. What is the total cost (in Rs.) of levelling the entire lawn at the rate of Rs. 100 per square metre, if the smaller side of the rectangular lawn is 12 m? (Take π = 3.14)

A

86,540

B

78,650

C

85,320

D

97,625

Question 104

Arithmetic

The given pie chart shows the percentage distribution of 450 employees in an organisation. Study the pie chart and answer the question that follows. What is the central angel of the sector representing the number of employees in department A?

A

72°

B

108°

C

90°

D

36°

Question 105

Arithmetic

The average weight of a group of 3 people A, B and C is 70 kg. When D joins this group, the average becomes 60 kg, One man E, whose weight is 5 kg more than that of D, replaces A and the average weight of B, C, D, and E now becomes 59 kg. A's weight (in kg) is:

A

40

B

50

C

59

D

39

Question 106

Arithmetic

If the difference between the compound interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is Rs. 433.50, then the sum (in Rs.) is:

A

12,000

B

20,000

C

15,000

D

25,000

Question 107

Arithmetic

The given bar graph represents the number of boys and girls in five different schools. Study the graph and answer the question that follows. What is the ratio of girls and boys from all the schools taken together?

A

59 : 66

B

61 : 59

C

59 : 61

D

66 : 59

Question 108

Arithmetic

A man bought an article and sold it at a gain of 10%. If he had bought the article at 20% less and sold it for Rs. 1,000 more, he would have made a profit of 40%. The cost price of the article (in Rs.) is:

A

60,000

B

50,000

C

40,000

D

25,000

Question 109

Arithmetic

The given histogram shows the frequency distribution of the speed of cars passing though at a particular spot on a highway. Study the graph and answer the question that follows. What is the ratio of the number of cars with speed less than 60 km / h to the number of cars with speed more than 80 km / h?

A

7 : 8

B

8 : 7

C

4 : 5

D

5 : 4

Question 110

Arithmetic

A and B can do a piece of work in 36 days. B and C can do the same work in 60 days. A and C can do the same work in 45 days. In how many days can A alone complete the same work?

A

120

B

90

C

45

D

60

Question 111

Arithmetic

If house tax is paid before the due date, one gets a reduction of 12% on the amount of the bill. By paying the tax before the due date, a person got a reduction of Rs. 2,100. The amount (in Rs.) of house tax was:

A

25,000

B

17,500

C

18,000

D

21,000

Question 112

Arithmetic

X can do a work in 3 days, Y does three times the same work in 8 days, and Z does five times the same work in 12 days. If they have to work together for 6 hours in a day, then in how much time can they complete the work?

A

4 hours

B

5 hours 20 minutes

C

4 hours 10 minutes

D

5 hours

Question 113

Arithmetic

The ratio of two numbers is 7 : 13 and their HCF is 8. Their LCM is:

A

728

B

872

C

628

D

782

Question 114

Arithmetic

The value of \(\frac {\sin^2 30^\circ + \cos^2 60^\circ - \sec 35^\circ.\sin 55^\circ}{\sec 60^\circ + \rm cosec\;30^\circ}\)  is equal to:

A

\(\frac 1 4\)

B

\(-\frac 1 4\)

C

\(\frac 1 8\)

D

\(-\frac 1 8\)

Question 115

Arithmetic

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and &ang;ADC = 148°. What is the measure of the &ang;BAC?

A

45°

B

60°

C

58°

D

32°

Question 116

Arithmetic

If x 2 - 5x + 1 = 0, then the value of \(\left(x^4 + \frac 1 {x^2}\right) \div \left(x^2 + 1\right)\)  is:

A

25

B

21

C

22

D

24

Question 117

Arithmetic

The length of the shadow of a vertical pole on the ground is 18 m. If the angle of elevation of the sun at that time is θ, such that  \(\cos \theta = \frac {12}{13}\) , then what is the height (in m) of the pole?

A

7.5

B

9

C

18

D

12

Question 118

Arithmetic

If A is \(\frac 1 6\)  of C, and B is twice of A, and the average of A, B and C is 30, then the difference between A and C is:

A

60

B

40

C

80

D

50

Question 119

Arithmetic

The value of \(\frac {0.325 \times 0.325 + 0.175 \times 0.175 + 25 \times 0.00455}{5 \times 0.0065 \times 3.25 - 7 \times 0.175 \times 0.025} - \frac {0.5}{1.5}\)  is:

A

0

B

-3

C

3

D

-1

Question 120

Arithmetic

The monthly salary of a person was Rs. 50,000. He used to spend on Family expenses (E), Taxes (T), Charity (C), and the rest were his savings. E was 60% of the income, T was 20% of E, and C was 15% of T. When his salary got raised by 40%, he maintained the percentage level of E, but T becomes 30% of E and C becomes 20% of T. The difference between the two savings (in Rs.) is:

A

220

B

250

C

130

D

128

Question 121

Arithmetic

When operated separately, pipe A takes 5 hours less than pipe B to fill a cistern, and when both pipes are operated together, the cistern gets filled in 6 hours. In how much time (in hours) will pipe B fill the cistern, if operated separately?

A

9

B

10

C

15

D

18

Question 122

Arithmetic

The given pie chart shows the percentage distribution of 450 employees in an organisation. Study the pie chart and answer the question that follows. If 60% of the employees in department E are females, how many male employees are there in that department?

A

18

B

54

C

72

D

36

Question 123

Arithmetic

A sum of Rs. 8,200 was divided among A, B and C in such a way that A has Rs. 500 more than B, and C has Rs. 300 more than A. How much was A's share (in Rs.)?

A

2,800

B

2,300

C

3,100

D

2,000

Question 124

Arithmetic

Asha and Suman's mud forts have heights 9 cm and 16 cm. They are 24 cm apart. How far (in cm) are the fort tops from each other?

A

25

B

16

C

24

D

7

Question 125

Arithmetic

The given pie chart shows the percentage distribution of 450 employees in an organisation. Study the pie chart and answer the question that follows. What is the number of employees working in department B?

A

90

B

72

C

36

D

63

Question 126

Arithmetic

Two pipes can fill a tank in 15 hours and 4 hours, respectively, while a third pipe can empty it in 12 hours. How long (in hours) will it take to fill the empty tank if all the three pipes are opened simultaneously?

A

30 / 7

B

20 / 7

C

50 / 7

D

15 / 7

Question 127

Arithmetic

A and B started a business investing amounts of Rs. 92,500 and Rs. 1,12,500 respectively. If B's share in the profit earned by them is Rs. 9,000, what is the total profit (in Rs.) earned by them together?

A

19,000

B

20,000

C

21,240

D

16,400

Question 128

Arithmetic

Rice is now being sold at Rs. 29 per kg. During the last month, its cost was Rs. 25 per kg. By how much percentage should a family reduce its consumption, so as to keep the expenditure the same as before? (correct to nearest integer)

A

13%

B

15%

C

14%

D

12%

Question 129

Arithmetic

If the annual rate of simple interest increases from 11% to \(17 \frac 1 2\%\) , a person's yearly income increases by Rs. 1,071.20. The principal amount invested (in Rs.) is:

A

16,480

B

19,120

C

17,250

D

10,710

Question 130

Arithmetic

The two parallel sides of a trapezium are 27 cm and 13 cm, respectively. If the height of the trapezium is 7 cm, then what is its area in m 2 ?

A

140

B

1.4

C

0.014

D

0.14

Question 131

Arithmetic

PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that &ang;APB = 100°, then &ang;OAB is equal to:

A

45°

B

70°

C

50°

D

35°

Question 132

Arithmetic

A 9 cm solid metallic cube and a solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted and recast into a single cube. What is the total surface area (in cm 2 ) of the new cube?

A

1362

B

865

C

2744

D

1176

Question 133

Arithmetic

A bus covers a 60-kilometre distance in 1 hour 15 minutes, whereas the same distance is covered by a car in 45 minutes. What is the ratio of the speed of the bus to the speed of the car?

A

5 : 3

B

1 : 3

C

3 : 1

D

3 : 5

Question 134

Arithmetic

Let ΔABC ~ ΔRPQ and  \(\frac {ar (\Delta ABC)}{ar(\Delta RPQ)} = \frac 4 9\) . If AB = 3 cm, BC = 4 cm and AC = 5 cm, then PQ (in cm) is equal to:

A

12

B

6

C

5

D

4.5

Question 135

Arithmetic

If sec3x = cosec(3x - 45°), where 3x is an acute angle, then x is equal to:

A

35°

B

45°

C

22.5°

D

27.5°

Question 136

Arithmetic

The given histogram shows the frequency distribution of the speed of cars passing through at a particular spot on a highway. Study the graph and answer the question that follows. What percentage of cars were running with a speed of less than or equal to 70 km/h?

A

30%

B

51.25%

C

60%

D

45.75%

Question 137

Arithmetic

The remainder when 75 × 73 × 78 × 76 is divided by 34 is:

A

18

B

15

C

12

D

22

Question 138

Arithmetic

If the area of a square is decreased by 19%, then the diagonal of the square is decreased by:

A

15%

B

5%

C

10%

D

12%

Question 139

Arithmetic

The value of \(3 \frac 1 3 \div 2 \frac 1 2 \rm\;of\;1 \frac 3 5 + \left(\frac 3 8 + \frac 1 7 \times 1 \frac 3 4\right)\) is:

A

35 / 24

B

55 / 24

C

5 / 24

D

25 / 24

Question 140

Arithmetic

If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the value of x 3 + y 3 + z 3 + xyz is:

A

1225

B

1441

C

577

D

361

Question 141

Comprehension

Select the misspelt word.

A

implore

B

userp

C

unique

D

impeach

Question 142

Comprehension

Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. I want to learn yoga when I was in school.

A

used to

B

ought to

C

No substitution required

D

need to

Question 143

Comprehension

Direction: Select the most appropriate one-word substitution for the given group of words. A person with the same name as another

A

ancestor

B

namesake

C

imposter

D

alias

Question 144

Comprehension

Identify the segment in the sentence which contains a grammatical error. Do you earn so much to make both ends meet?

A

Do you earn

B

ends meet

C

make both

D

so much to

Question 145

Comprehension

Fill in the blank with the most appropriate word. ______! What have you done to your hair? You are looking so odd.

A

Bother

B

Goodness gracious

C

Bravo

D

Hurrah

Question 146

Comprehension

Select the most appropriate synonym of the given word. CONDONE

A

forbid

B

prevent

C

impose

D

forgive

Question 147

Comprehension

Select the most appropriate synonym of the given word. CATASTROPHE

A

restraint

B

calamity

C

expansion

D

prosperity

Question 148

Comprehension

Select the most appropriate ANTONYM of the given word. IMPUDENT

A

blatant

B

arrant

C

modest

D

brazen

Question 149

Comprehension

Select the most appropriate ANTONYM of the given word. SPIRITUAL

A

ethereal

B

material

C

sacred

D

divine

Question 150

Comprehension

Select the most appropriate one-word substitution for the given group of words. One who changes sides

A

invader

B

novice

C

turncoat

D

amateur

Question 151

Comprehension

Direction: Fill in the blank with the most appropriate word. She has inherited her fondness ______ tennis from her parents.

A

to

B

for

C

by

D

at

Question 152

Comprehension

Identify the segment in the sentence which contains a grammatical error. Nobody has ever listened to me so attentive.

A

so attentive

B

Nobody has

C

to me

D

ever listened

Question 153

Comprehension

Fill in the blank with the most appropriate word. The doctor often made his patients ______ for long

A

waited

B

wait

C

waiting

D

to wait

Question 154

Comprehension

Select the most appropriate meaning of the given idiom. Speak one’s mind

A

to speak without thinking

B

to speak in an assembly

C

to put one’s thoughts in writing

D

to voice one’s thoughts plainly

Question 155

Comprehension

Select the most appropriate one-word substitution for the given group of words. One who is easily deceived

A

plausible

B

gullible

C

agreeable

D

credible

Question 156

Comprehension

Select the most appropriate option to fill in blank no. 1

A

specially

B

totally

C

roughly

D

similarly

Question 157

Comprehension

Select the most appropriate option to fill in blank no. 2

A

an

B

a

C

some

D

one

Question 158

Comprehension

Select the most appropriate option to fill in blank no. 3

A

minor

B

magnetic

C

major

D

majestic

Question 159

Comprehension

Select the most appropriate option to fill in blank no. 4

A

in

B

at

C

of

D

on

Question 160

Comprehension

Select the most appropriate option to fill in blank no. 5

A

tributes

B

continents

C

rainforests

D

tributaries

Question 161

Comprehension

Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. India have a man y all-rounders to match the talent and dedication of Kapil Dev.

A

has much

B

is having little

C

has few

D

No substitution required

Question 162

Comprehension

Fill in the blank with the most appropriate word. ______ Sunny, two others have qualified for the final round of the quiz.

A

Between

B

Apart

C

Besides

D

Along

Question 163

Comprehension

Select the most appropriate one-word substitution for the given group of words. A person who is unduly anxious about his/her health

A

antiquarian

B

valetudinarian

C

egalitarian

D

disciplinarian

Question 164

Comprehension

Select the most appropriate synonym of the given word. ABSURD

A

meaningful

B

ridiculous

C

rational

D

important

Question 165

Comprehension

Identify the segment in the sentence which contains a grammatical error. He wondered what was the reason for her refusal to accompany him

A

He wondered what

B

was the reason

C

to accompany him

D

for her refusal

Question 166

Comprehension

Select the most appropriate meaning of the given idiom. Once bitten twice shy

A

a person with no self confidence

B

to be shy of meeting strangers

C

an insect bite that leaves a permanent mark

D

a bitter experience making one cautious for future

Question 167

Comprehension

Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ’No substitution required’. When challenged , the man had no answer for his actions.

A

When to be challenged

B

While challenges

C

When in challenge

D

No substitution required

Question 168

Comprehension

Select the most appropriate one-word substitution for the given group of words. Study of environment

A

ecology

B

pathology

C

radiology

D

cosmology

Question 169

Comprehension

Direction : Select the most appropriate meaning of the given idiom. Walking on thin ice

A

walking carefully

B

performing a ballet

C

slipping on ice

D

doing something risky

Question 170

Comprehension

Select the misspelt word

A

restaurant

B

spectacles

C

superceed

D

acquaint

Question 171

Comprehension

Select the most appropriate meaning of the given idiom. Know like the back of one’s hand

A

to be unaware of the situation

B

to have detailed knowledge of something

C

to hit someone with the back of one’s hand

D

to copy another’s trade secrets

Question 172

Comprehension

Select the misspelt word

A

succint

B

lustrous

C

dilemma

D

enigmatic

Question 173

Comprehension

Select the misspelt word.

A

virtually

B

eventually

C

immediately

D

infinitly

Question 174

Comprehension

Select the most appropriate ANTONYM of the given word. EXASPERATION

A

resentment

B

wrath

C

pique

D

enjoyment

Question 175

Comprehension

Select the most appropriate ANTONYM of the given word. DISHEARTEN

A

dampen

B

humble

C

encourage

D

indisposed

Question 176

Comprehension

Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. She walked among me without greeting me.

A

over me

B

No substitution required

C

about me

D

past me

Question 177

Comprehension

Fill in the blank with the most appropriate word. This is one of the matters that ______ me the most.

A

has disturb

B

are disturbing

C

disturb

D

is disturbed

Question 178

Comprehension

Select the most appropriate synonym of the given word. CONCEITED

A

tentative

B

diffident

C

inferior

D

arrogant

Question 179

Comprehension

Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. The young man lifts weights at the gym when he pulled a muscle.

A

was lifting

B

is lifting

C

No substitution required

D

has lifted

Question 180

Comprehension

Select the most appropriate ANTONYM of the given word. PRESTIGE

A

disregard

B

repute

C

renown

D

dignity

Question 181

Comprehension

Select the most appropriate synonym of the given word. CORDIAL

A

cold

B

aloof

C

friendly

D

rude

Question 182

Comprehension

Direction: Select the wrongly spelt word.

A

existance

B

dependent

C

separate

D

proceed

Question 183

Comprehension

Identify the segment in the sentence which contains a grammatical error. I remember a friend to me buying several pairs of shoes at a sale.

A

a friend to me

B

I remember

C

buying several pairs

D

of shoes at a sale

Question 184

Comprehension

Select the most appropriate meaning of the given idiom. Grin from ear to ear

A

to ridicule someone

B

to have very sharp ears

C

to make funny faces

D

to smile a lot because of happiness

Question 185

Comprehension

Identify the segment in the sentence which contains a grammatical error. Our new secretary’s performance have been quite impressive.

A

Our new

B

have been

C

secretary’s performance

D

quite impressive

Question 186

Comprehension

What was the primitive way of eating eggs in Lilliput ?

A

Eating it whole

B

Breaking at the larger end

C

Breaking at the smaller end

D

Breaking in the middle

Question 187

Comprehension

What was the result of the edict published by the emperor of Lilliput’s great grandfather ?

A

People abandoned Lilliput and left for Blefuscu

B

People readily agreed to follow his command

C

People attacked the emperor and overthrew him

D

People rebelled against the new law

Question 188

Comprehension

Which of the following statements is NOT true ?

A

The doctrine of Prophet Lustrog mentions the ‘convenient end’ of the eggs.

B

The Big-endians found refuge at Blefuscu.

C

The narrator refuses to defend the emperor against the invaders.

D

The two empires had been at war for thirty-six moons.

Question 189

Comprehension

What inference can be drawn from the narrative ?

A

Wars may be waged over very trivial issues

B

It is important to follow rules.

C

A peaceful solution to the problem is possible.

D

On should remain loyal to the monarch.

Question 190

Comprehension

The empires of Lilliput and Blefuscu are:

A

ruled by one emperor

B

ready to compromise with each other

C

hostile towards each other

D

cordial and friendly neighbours

Study the given pattern carefully and select the number that can replace the question mark (?) in it. 16 14 19 391 270 ? 23 18 14

Select the number-pair in which the two numbers are related in the same way as are the two numbers of the following number-pair. 5 : 75

Which number will replace the question mark (?) in the following series? 37, ?, 61, 78, 97, 120, 149

Which number will replace the question mark (?) in the following series? 65, 85, 112, ?, 215, 305, 430

If 'A' denotes 'addition', 'B' denotes 'multiplication', 'C' denotes 'subtraction', and 'D' denotes 'division', then what will be the value of the following expression? 74 A (31 B 2) B 2 C (68 C 4) D (4 B 2) = ?

The sum of a number's square, its cube and its next number's cube is 205. What is the number?

Five persons Lopa, Kripa, Sumi, Jani and Sush are sitting in a straight line facing north. Sush is to the immediate left of Sumi. Jani is to the immediate right of Lopa. Kripa is between Sush and Jani. Who is sitting between Lopa and Kripa?

Which of the following pairs of symbols will be on the opposite faces when the given sheet is folded to form a cube?

Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Martial 2. Margin 3. Martyr 4. Marking 5. Marvel

Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.

If 5 November 2019 was Tuesday, then what was the day of the week on 5 December 2011?

Which two signs should be interchanged to make the given equation correct? 4 &times; 7 + 36 - 12&nbsp;&divide; 6 = 25

In a code language, if 'she was working' is written as '592', 'I was curious' is written as '267', and 'she is curious' is written as '987', then what will be the code for the word 'she' in this language?

Study the given pattern carefully and select the number that can replace the question mark (?) in it. 14 28 98 7 48 84 ? 60 60

Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster. ZODIAC : DOZCAI :: MISTER : ?

In a code language, if 'dish is tasty' is written as 'lam kam dam', 'it is sweet' is written as 'ram sam kam', and 'it ate dish' is written as 'ram dam pam', then how would 'tasty sweet' be written in this language?

Select the letter-cluster that can replace the question mark (?) in the given letter-cluster series. YM, WO, UQ, ?, QU

Pointing to a photograph of a girl, Dev said, "She is my wife's sister's mother's only son's daughter". How is Dev's wife related to that girl's paternal grandfather?

Select the correct option that indicates the arrangement of the following words in a logical and meaningful order. 1. Tissue 2. Cell 3. Organ 4. Human Body 5. Organ System

'A % B' means 'A is the sister of B'. 'A + B' means 'A is the father of B'. 'A ! B' means 'A is the brother of B'. If P ! H + Q % M + T % K ! J, then how is Q related to J?

In a code language, 'NIGHT' is written as 'GHINT'. How will 'AMPLITUDE' be written in that language?

Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation. 24 * 12 * 35 * 24 * 6 * 319

Select the letter-cluster that can replace the question mark (?) in the given letter-cluster series. AGM, EKN, IOO, ?, UWQ

Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.

Study the given pattern carefully and select the number that can replace the question mark (?) in it. 9 8 12 6 3 8 45 ? 80

At the time of sunrise, Diksha and Arpita are sitting in a park with their backs facing each other. If the shadow of Diksha falls to the right of Arpita, then in which direction is Arpita facing?

Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster. CROW : XILD :: SPONGE : ?

Which number will replace the question mark (?) in the following series? 17, 37, 77, 157, 317, ?

Study the given pattern carefully and select the number that can replace the question mark (?) in it. 4507 7077 37 2503 3067 26 3307 4061 ?

In a code language, 'CLARITY' is written as '176'. How will 'FROZEN' be written in that language?

Select the dice that can be formed by folding the given sheet in the form of a cube.

Which number will replace the question mark (?) in the following series? 58, 59, 51, 78, 14, ?

Eight friends A, B, C, D, E, F, G and H are sitting clockwise at equal distances from each other in the same sequence around a circular table facing the centre. If D is facing southwest, then who is sitting third to the right of H?

Kartik walks 40 m straight from his home towards the North. Then, he turns left and walks 25 m. He turns left again and walks 15 m. Finally, he turns left and walks 25 m to each Point-X. What is the shortest distance between his home and Point-X?

In a code language, 'TORCH' is written as 'WRUFK'. How will 'WINTER' be written in that language?

Select the letter-cluster that can replace the question mark (?) in the given letter-cluster series. ZBQS, WXLM, ?, QPBA, NLWU

&lsquo;Sagarmatha&rsquo; is the Nepali name for:

Which of the following Stupa sites is NOT located in the state of Uttar Pradesh?

With which sport do you associate the name of Koneru Humpy?

The steel plant at Bokaro was set up in collaboration with ______.

Mehrgarh, a Neolithic settlement, is situated in the ______ province of Pakistan.

Which of the following states was formed in the year 2000 ?

In the context of Colonial India, the Hartog Committee Report is related to which of the following fields ?

Iron nails become ______ after being dipped in copper sulphate solution.

Which of the following cities is situated along the Coromandel Coast ?

Which of the following Articles of the Constitution of India abolishes untouchability ?

Power exerted by an object moving in a straight line is equal to Force multiplied by ______.

In which year was &lsquo;Ramlila&rsquo; inscribed on the UNESCO Representative List of the Intangible Cultural Heritage of Humanity ?

Who among the following poets wrote under the pen name &lsquo;Nirala&rsquo; ?

In which year did Prince Salim ascend the Mughal throne ?

Which of the following does NOT fall under the category of oilseeds ?

&lsquo;Euderma maculatum&rsquo; is the name given to spotted ______.

The collections of Vedic hymns or mantras are known as?

Jayaprakash Narayan was fondly known as:

Crocodiles have ______ heart chambers.

Saltpetre is another name for ______.

In which state is the hill station Matheran located ?

Which of the following cities does NOT lie on the path of river Ganga?

Which of the following is NOT a fossil fuel ?

Who among the following was the first Portuguese viceroy of India?

The Unique Identification Authority of India (UIDAI) is a statutory authority under the Ministry of ______.

The book &lsquo;The Life Divine&rsquo; was written by:

What are supporting roots coming out of lower ends of the stem of maize and sugarcane called ?

Which of the following terms is associated with the architecture of a Buddhist Stupa?

The Barabati Sports Stadium is located in the state of:

If an object executes 10 oscillations per second, then its frequency in kilohertz is equal to:

Who is referred to as the ‘Darwin of the 20 th Century’ ?

In 1946, who among the following was made the interim president of the Indian Constituent Assembly ?

The famous caves of Udayagiri and Khandagiri are located in ______.

&lsquo;Udyam Abhilasha&rsquo; is a national level entrepreneurship awareness campaign launched by which among the following in 2018 ?

Which of the following cities is farthest from the southern-most tip of the mainland of India ?

The Indira Gandhi Award for National Integration is accorded by the:

On the night of ______ 1975, Indira Gandhi recommended the imposition of Emergency to president Fakhruddin Ali Ahmed.

In which Summer Olympic Games did PT Usha miss the bronze medal by 0.01 second in the Women&rsquo;s 400 m Hurdles race ?

Who wrote the book &lsquo; India Wins Freedom &rsquo; ?

The phrase &lsquo;Gross National Happiness&rsquo; was first coined in:

In which of the following states of India is the &lsquo;Ambubachi Mela&rsquo; held every year ?

&lsquo;Ramoji Film City&rsquo; is located close to which of the following cities ?

Which of the following subjects is covered in the Eleventh Schedule of the Constitution of India?

How many times has Pakistan reached the final of ICC Men&rsquo;s World Cup ?

Which two signs should be interchanged to make the given equation correct? 4 × 7 + 36 - 12 ÷ 6 = 25

‘Sagarmatha’ is the Nepali name for:

In which year was ‘Ramlila’ inscribed on the UNESCO Representative List of the Intangible Cultural Heritage of Humanity ?

Who among the following poets wrote under the pen name ‘Nirala’ ?

‘Euderma maculatum’ is the name given to spotted ______.

The book ‘The Life Divine’ was written by:

‘Udyam Abhilasha’ is a national level entrepreneurship awareness campaign launched by which among the following in 2018 ?

In which Summer Olympic Games did PT Usha miss the bronze medal by 0.01 second in the Women’s 400 m Hurdles race ?

Who wrote the book ‘ India Wins Freedom ’ ?

The phrase ‘Gross National Happiness’ was first coined in:

In which of the following states of India is the ‘Ambubachi Mela’ held every year ?

‘Ramoji Film City’ is located close to which of the following cities ?

How many times has Pakistan reached the final of ICC Men’s World Cup ?

Which among the following is an ‘action-at-a-distance’ force ?

In ΔABC, &ang;A = 66°. AB and AC are produced to points D and E, respectively. If the bisectors of angle CBD and angle BCE meet at the point O, then &ang;BOC is equal to:

A person's salary increased from Rs. 8,100 to Rs. 9,000. What is the percentage increase in his salary?

If a wheel has diameter 42 cm, then how far does the wheel go (in metres) in 12 revolutions? (Take π \(= \frac {22} 7\) )

A rectangular lawn whose length is twice of its breadth is extended by having four semi-circular portions on its sides. What is the total cost (in Rs.) of levelling the entire lawn at the rate of Rs. 100 per square metre, if the smaller side of the rectangular lawn is 12 m? (Take π = 3.14)

The value of \(\frac {\sin^2 30^\circ + \cos^2 60^\circ - \sec 35^\circ.\sin 55^\circ}{\sec 60^\circ + \rm cosec\;30^\circ}\) is equal to:

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and &ang;ADC = 148°. What is the measure of the &ang;BAC?

If x 2 - 5x + 1 = 0, then the value of \(\left(x^4 + \frac 1 {x^2}\right) \div \left(x^2 + 1\right)\) is:

The length of the shadow of a vertical pole on the ground is 18 m. If the angle of elevation of the sun at that time is θ, such that \(\cos \theta = \frac {12}{13}\) , then what is the height (in m) of the pole?

If A is \(\frac 1 6\) of C, and B is twice of A, and the average of A, B and C is 30, then the difference between A and C is:

The value of \(\frac {0.325 \times 0.325 + 0.175 \times 0.175 + 25 \times 0.00455}{5 \times 0.0065 \times 3.25 - 7 \times 0.175 \times 0.025} - \frac {0.5}{1.5}\) is:

PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that &ang;APB = 100°, then &ang;OAB is equal to:

Let ΔABC ~ ΔRPQ and \(\frac {ar (\Delta ABC)}{ar(\Delta RPQ)} = \frac 4 9\) . If AB = 3 cm, BC = 4 cm and AC = 5 cm, then PQ (in cm) is equal to:

If sec3x = cosec(3x - 45°), where 3x is an acute angle, then x is equal to:

The remainder when 75 × 73 × 78 × 76 is divided by 34 is:

Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. I want to learn yoga when I was in school.