SSC-CHSL 2024 Questions

2 Jul 2024 • Shift 1

95 Questions AvailableTake as Test

Question 1

Comprehension

Select the option that corrects the following sentence. All the workers have called of the strike.

All the workers have called at the strike.

All the workers have called through the strike.

All the workers have called between the strike.

All the workers have called off the strike.

Question 2

Comprehension

The given sentence is divided into four segments. Select the option that has the segment with a grammatical error. He organises / a children’s fair every year / and his friends comes / to attend it.

He organises

to attend it.

and his friends comes

a children’s fair every year

Question 3

Comprehension

The underlined phrase in the given sentence has been used incorrectly. Select the option that can correctly replace the underlined segment. Samita asked out a favour of going early today.

asked for

asked around

asked after

asked over

Question 4

Comprehension

The following sentence has been divided into four segments. Identify the segment that contains an error. They have decided / to wind out / their business / without delay.

They have decided

their business

without delay.

to wind out

Question 5

Comprehension

Select the most appropriate option to fill in blank number 1.

Few

Countable

Limited

Numerous

Question 6

Comprehension

Select the most appropriate option to fill in blank number 2.

negative

parallel

similar

attributed

Question 7

Comprehension

Select the most appropriate option to fill in blank number 3.

utilised

rejected

hinder

impede

Question 8

Comprehension

Select the most appropriate option to fill in blank number 4.

synthesised

consumed

assimilated

analysed

Question 9

Comprehension

Select the most appropriate option to fill in blank number 5.

below

bottom

lowest

top

Question 10

Comprehension

Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. The plum tree in our garden is cover in blossoms, as are the trees outside my office window.

are cover at

is covered in

No substitution required

is covering at

Question 11

Comprehension

Select the most appropriate option that can substitute the underlined segment in the given sentence. We feel warm on the subject

warming about

warmed on

warmly about

warmer on

Question 12

Comprehension

Select the most appropriate ANTONYM of the underlined word in the given sentence. The dearth of governmental policies on the basic rights and comforts of the impaired population leads to low standard of public life in a country.

Lacunae

Abundance

Paucity

Brevity

Question 13

Comprehension

Select the most appropriate ANTONYM of the given word. Enemy

Friend

Attacker

Combatant

Colleague

Question 14

Comprehension

Select the most appropriate meaning of the given idiom. Put in mind

To calculate

To remind

To forget

To understand

Question 15

Comprehension

Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. A soldier of the tenth legion leaped into the water as soon as the ship touches the shore .

No substitution required

the ship was touch the shore

the ship touch the shore

the ship touched the shore

Question 16

Comprehension

Select the most appropriate ANTONYM of the underlined word in the sentence. He laboured very hard but could not yield anything from the barren piece of land.

Fruitless

Vile

Sterile

Fertile

Question 17

Comprehension

Select the most appropriate connotation to fill in the blank. I always love the _______ of my mother’s cooking.

stench

scent

perfume

aroma

Question 18

Comprehension

Select the INCORRECTLY spelt word.

stationery

marijuena

lascivious

dictator

Question 19

Comprehension

Select the most appropriate option that can substitute the underlined segment in the given sentence. The dictator ordered the traitor were jailed.

was

might

to be

Question 20

Comprehension

Select the correctly spelt word.

Illuzion

Illusion

Illuseon

Ilusion

Question 21

Comprehension

Select the most appropriate synonym of the given word. Wonderful

Awful

Amazing

Synthetic

Upright

Question 22

Comprehension

Select the most appropriate meaning of the given idiom. Dog eat dog

Like-minded people connect better

Ruthlessly competitive

Tit for tat

Being calculative

Question 23

Comprehension

Select the most appropriate synonym of the given word. Competent

Dumb

Qualified

Chatty

Unskilled

Question 24

Comprehension

Read the given sentence carefully. Change the meaning of the sentence by replacing the underlined word with its ANTONYM from the following options. The equivocal tone of the Prime Minister in his speech caused uproar in the chamber.

conflicting

irresolute

iffy

explicit

Question 25

Comprehension

Select the most appropriate ANTONYM of the underlined word. My parents have a fertile land in the backyard.

Scanty

Potent

Timid

Barren

Question 26

Logical Reasoning

What will come in the place of the question mark (?) in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged? 80 + 18 × 3 ÷ 5 - 23 = ?

Question 27

Logical Reasoning

What should come in place of the question mark (?) in the given series? 8, 21, 34, 47, 60, ?

Question 28

Logical Reasoning

Select the word-pair that best represents a similar relationship to the one expressed in the pair of words given below. (The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Plain : Austere

Neutral : Detached

Abandon : Barren

Lonely : Gloomy

Clean : Sterile

Question 29

Logical Reasoning

If 9 March 2007 was Friday, then what was the day of the week on 13 March 2012?

Wednesday

Thursday

Tuesday

Monday

Question 30

Logical Reasoning

The position of how many letters will remain unchanged if each of the letters in the word ‘ABDUCTS’ is arranged in English alphabetical order?

Two

More than four

Three

Four

Question 31

Logical Reasoning

What will come in the place of the question mark (?) in the following equation, if '+' and '×' are interchanged and '-' and '÷' are interchanged? 132 - 12 × 17 + 3 ÷ 27 = ?

Question 32

Logical Reasoning

What should come in place of the question mark (?) in the given series? 131, 263, 527, 1055, ?

2111

1121

1211

2121

Question 33

Logical Reasoning

What is the maximum number of rectangles in the given figure?

Question 34

Logical Reasoning

5 is related to 27 by certain logic. Following the same logic, 7 is related to 51. To which of the following is 4 related, following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

Question 35

Logical Reasoning

Which of the following numbers will replace the question mark (?) in the given series? 6, 16, 36, 76, ?, 316

156

152

168

146

Question 36

Logical Reasoning

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (6, 12, 3) (10, 20, 5)

(21, 28, 7)

(14, 21, 7)

(14, 28, 7)

(14, 28, 9)

Question 37

Logical Reasoning

In a certain code language, 'MONEY' is coded as '64381' and 'HONEY' is coded as '54381' What is the code for 'H' in that language?

Question 38

Logical Reasoning

Select the pair which follows the same pattern as that followed by the two set of pairs given below. Both pairs follow the same pattern. PTL : NRJ AEX : YCV

TVN : RTL

GIF : FIG

BTM : DVO

ABC : ZTS

Question 39

Logical Reasoning

Which two numbers should be interchanged to make the given equation correct? 45 ÷ 3 + 12 × 9 – 15 + 2 × 5 = 36 (NOTE: Numbers must be interchanged and not the constituent digits e.g. if 2 and 3 are to be interchanged in the equation 43 × 3 + 4 ÷ 2, then interchanged equation is 43 × 2 + 4 ÷ 3)

3 and 9

5 and 3

12 and 5

2 and 9

Question 40

Logical Reasoning

Three statements are followed by conclusions numbered I, II. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follow/s from the given statement. Statements: All journals are books. Some books are fans. All fans are wood. Conclusion (I): Some journals are wood. Conclusion (II): Some fans are books.

Neither conclusion (I) nor (II) follows.

Only conclusion (I) follows.

Both conclusions (I) and (II) follow.

Only conclusion (II) follows.

Question 41

Logical Reasoning

‘A × B’ means ‘A is B’s brother’. ‘A ÷ B’ means ‘A is B’s sister’. ‘A + B’ means ‘A is B’s father’. ‘A – B’ means ‘A is B’s mother’. Using the same meaning of the mathematical operators as given above, which of the following means ‘X is Z’s mother’s father’?

X × Y + Z

X + Y – Z

X + Y × Z

X – Y + Z

Question 42

Logical Reasoning

What should come in place of the question mark (?) to complete the following letter cluster series? BDC, EGF, HJI, ?

LMN

KML

KLM

KLN

Question 43

Logical Reasoning

What would be the letter on the opposite side of 'R' if the given sheet is folded to form a cube?

Question 44

Logical Reasoning

Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the one that is different. (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)

PTV

LQO

XCA

EJH

Question 45

Logical Reasoning

In a certain code language, ‘art of war’ is coded as ‘gb pr ml’ and ‘the lost art’ is coded as ‘ml sj ak’. How is ‘art’ coded in the given language?

Question 46

Arithmetic

Study the following line graph carefully and answer the question below. Given graph represents marks obtained by Riya and Rida in six subjects of 12 th exam of CBSE. Maximum marks in Maths, Physics and Chemistry is 140 whereas maximum marks in English. IP and Biology is 180. What is percentage marks obtained by Rida in PCM (Maths, Physics and Chemistry)?

50%

78.57%

71.43%

81.32%

Question 47

Arithmetic

The areas of two similar triangles ΔPQR and ΔXYZ are 12.96 cm 2 and 635.04 cm 2 , respectively. If QR = 2.9 cm, then the length (in cm) of YZ equals:

30.4

23.2

20.3

25.2

Question 48

Arithmetic

In ΔABC,XY is drawn parallel to BC, cutting sides at X and Y, where AB = 5.4 cm ,BC = 7.2 cm and BX = 3 cm. What is the length of XY (in cm)?

3.0

4.3

2.8

3.2

Question 49

Arithmetic

Two circles touch each other externally as shown in the figure above. The radius of the circle with centre O is 49 cm. The radius of the circle with centre A is 16 cm. Find the length (in cm) of their common tangent BC.

Question 50

Arithmetic

The graphs of two linear equations, x + 2y = 15 and 4x + 8y = 13 will be:

intersecting at two points

coincident

parallel

intersecting at one point

Question 51

Arithmetic

A boat can travel 60km downstream in 4 hours. If the speed of the boat in still water is 13 km/h, then in what time will it cover 30 km upstream?

\(2 \frac{4}{7}\) hours

\(3 \frac{4}{7}\) hours

\(3 \frac{5}{7}\) hours

\(2 \frac{8}{11}\) hours

Question 52

Arithmetic

During the first year the population of a village increased by 5% and during the second year it diminished by 5%. At the end of the second year its population was 47,880. What was the population at the beginning of the first year?

48000

43500

45000

53000

Question 53

Arithmetic

The ratio of a father’s age to his son’s age is 7 &ratio; 4. The product of the numbers representing their ages is 1372. The ratio of their ages after 8 years will be:

19 &ratio; 13

19 &ratio; 11

19 &ratio; 14

19 &ratio; 12  

Question 54

Arithmetic

Study the given bar-graph carefully and answer the question that follows. In which year was there maximum percentage increase in the export of pearls to that in the previous year?

2018

2017

2019

2014

Question 55

Arithmetic

What is the value of cos(x + y) - sin(x - y) + tan(2z)?

sin x. sin y + \(\frac{2 \tan z}{1-\tan ^2 z}\)

cos x. cos y - sin x. sin y - sin x. cos y + cos x. sin y + \(\frac{2 \tan z}{1-\tan ^2 z}\)

cos x. cos y - sin x. sin y - cos x. sin y + \(\frac{\tan z}{1-\tan ^2 z}\)

cos x. cos y - sin x. sin y - sin x. cos y - cos x. sin y + \(\frac{2 \tan z}{1-\tan ^2 z}\)

Question 56

Arithmetic

The perimeter of a minor sector of a circle of radius 4 units subtending an angle of 45° is:

4 − π units

4 + π units

8 + π units

8 − π units

Question 57

Arithmetic

The following table shows the production of cars in a company from 2016 to 2020 . Years 2016 2017 2018 2019 2020 A 30 23 39 25 18 B 16 10 14 12 8 C 15 18 19 25 30 D 31 12 21 19 20 There was a continuous decrease in the production of cars of which types during the period 2018 to 2020 ?

B, D

C, D

B, C

A, B

Question 58

Arithmetic

Twelve men working for 9 hours a day complete a piece of work in 24 days. In how many days can 8 men working for 12 hours a day complete the same piece of work?

24 days

21 days

27 days

28 days

Question 59

Arithmetic

Study the given graph and select the most appropriate option to fill in the blanks. Consider the percentage of workers in three categories, Skilled, Semi-skilled and Un-skilled in four companies, A, B, C and D in the graph below. If all the companies have same number of total workers, then the company _ has the highest number of Un-skilled workers and the company __ has the lowest number of Skilled workers.

C; C

C; B

B; B

B; C

Question 60

Arithmetic

How much water should be added to 60 liters of milk at \(1 \frac{1}{2}\) liters a rupee so as to have a mixture worth  \(1 \frac{7}{8}\) liters a rupee?

20 liters

12 liters

27 liters

15 liters

Question 61

Arithmetic

If the diameter of a hemisphere is 21 cm , then the curved surface area (in cm 2 ) of the hemisphere is: Take \(\pi=\frac{22}{7}\)

939

639

963

693

Question 62

Arithmetic

A bank charges simple interest for Rs. K at the rate of \(\rm r^{\frac{1}{2}}\) for n 2 years. Another bank charges simple interest for Rs. L at the rate of  \(\rm r^{\frac{3}{2}}\) for n 3 years and gives the same interest. The ratio between K and L is: 

\(\mathrm{r}^{\frac{1}{2}}: \mathrm{n}^{\frac{1}{2}}\)

r 2 : n 2

rn : 1

\(\frac{1}{\mathrm{r}}: \frac{1}{\mathrm{n}}\)

Question 63

Arithmetic

Simplify: 18 ÷ (7 × 2 - 5) × 5 × 24 ÷ 30

0.5

Question 64

Arithmetic

How many numbers lie between 2000 and 2020 that are divisible by 8?

Question 65

Arithmetic

A merchant sold two refrigerators for Rs. 10,000 each. On one refrigerator, he incurred a 20% loss, and on the other, he gained 20%. What was his profit/loss percentage on the whole transaction?

Loss of 2%

Profit of 4%

Profit of 2%

Loss of 4%

Question 66

Arithmetic

Mahesh's annual salary increased from Rs. 2,00,000 to Rs. 2,40,000. Find the percentage increase in the salary.

22%

24%

18%

20%

Question 67

Arithmetic

The capacity of a cylinder tank is 8316 cm 3 . If the radius of its base is 21 cm, then find the depth of the tank.

6 cm

10 cm

8 cm

4 cm

Question 68

Arithmetic

O is the centre and the arc PQR subtends an angle of 240° at O. PQ is extended to A. Then &ang;AQR is:

60°

180°

120°

240°

Question 69

Arithmetic

In a group of 250 persons, 40% are males and 60% are females. If 30 more females join the group, then what will be the percentage of females in the new group? (Correct to 2 decimal places)

90.25%

72.25%

62.58%

64.29%

Question 70

Arithmetic

A dozen pairs of gloves of Rs. 180 are available at a discount of 10%. How many pairs of gloves can be bought for Rs. 54?

Question 71

Who is the founder of modern micro finance ?

Rangarajan

VKV Rao

YV Reddy

Muhammad Yunus

Question 72

Which of the following types of crops are sown after the end of the monsoon season?

Zaid crops

Vital crops

Rabi crops

Kharif crops

Question 73

Match the following musical instruments with the maestros who play them. a. Santoor i. Bismillah Khan b. Sitar  ii. Ustad Binda Khan c. Shehnai  iii. Pt Shiv Kumar Sharma d. Sarangi  iv. Anushka Shankar

a - i, b - ii, c - iii, d - iv

a - iii, b - iv, c - i, d - ii

a - ii, b - iii, c - i, d - iv

a - iv, b - iii, c - ii, d - i

Question 74

Who among the following was primarily an integral part of the Indian National Army (INA)?

Abanindranath Tagore

Rabindranath Tagore

Subhas Chandra Bose

Chittaranjan Das

Question 75

Who among the following was appointed, to the UN tax committee in July 2021, as a member for the 2021 to 2025 term?

TV Somanathan

Rasmi Ranjan Das

Vipul Bansal

Vivek Singh

Question 76

Which of the following was the last dynasty of the Vijayanagara Empire?

Tuluva dynasty

Saluva dynasty

Aravidu dynasty

Sangam dynasty

Question 77

According to the Census of India-2011, which state has the largest gap between male and female literacy rates?

Bihar

Andhra Pradesh

Rajasthan

Assam

Question 78

What is the name of the centrally sponsored scheme related with literacy that was launched by the Government of India in March 2023?

Bharat Padhega

National Literacy Programme

New India Literacy Programme

India Literacy Programme

Question 79

Which kind of computer security requires verifying the genuineness of the individuals or organisations that want to access a system?

Confidentiality

Authentication

Availability

Non-repudiation

Question 80

As per Olympic rules, in the third game, badminton players change ends when a side scores _____ points.

Question 81

Which theory describes the collective effects of changes in Earth's movements on its climate over thousands of years?

Continental drift theory

Plate tectonics theory

Copernicus' heliocentric theory

Milankovitch theory

Question 82

A _________________ is a cloud of dust and gas inside a galaxy.

chromosphere

nebula

black hole

photosphere

Question 83

In 2023, Gulab Chand Kataria became the Governor of which of the following states?

Assam

Odisha

Himachal Pradesh

Tamil Nadu

Question 84

PC Mahalanobis is remembered as a major contributor of India’s developmental path because he __________. (A) set up Indian Institutes of Management located in different parts of India (B) formulated the Second Five-Year Plan (C) was the first Minister of Statistics and Programme Implementation

Only (A) and (C) are true

Only (B) is true

Only (A) and (B) are true

Only (A) is true

Question 85

How many types of writs can be issued by the Supreme Court to protect the Fundamental Rights of Indian citizens?

Six

Four

Five

Seven

Question 86

_________ is a significant festival of the Parsi people who practice Zoroastrianism as it marks the birth anniversary of Zoroaster.

Pateti

Jamshed-e-Navroz

Gahambars

Khordad Sal

Question 87

Match List-I (Name of the composition) with List-II (Writer). List - I (Name of the Composition) List - II (Writer) 1. Vande Mataram A. Pradeep 2. Jana Gana Mana B. Bankim Chandra Chattopadhyay 3. Ae Mere Watan Ke Logon C. Rabindranath Tagore

1 - C, 2 - B, 3 - A

1 - C, 2 - A, 3 - B

1 - B, 2 - C, 3 - A

1 - A, 2 - B, 3 - C

Question 88

The loss of water in the form of water droplets from leaves of plants is called _____.

Pressure gradient

Plasmolysis

Guttation

Translocation

Question 89

In which year was tennis included in the Olympic games?

1927

1935

1896

1948

Question 90

Which Clause of Article 20 incorporates the doctrine of double jeopardy?

Question 91

In MS Word, which feature allows you to create different headers and footers for odd and even pages in a document?

Section Breaks

Different First Page

Page Breaks

Different Odd & Even Pages

Question 92

By which ministry of Government of India was the Deendayal Antyodaya Yojana started?

Ministry of Corporate affairs

Ministry of Home affairs

Ministry of Rural Development

Ministry of Labour and Employment

Question 93

On which river in India was the Somasila Dam built?

Sabarmati river

Tapti river

Krishna river

Pennar river

Question 94

Who among the following is a famous classical dancer?

Pratibha Ray

S Janaki

Asha Bhosle

Sonal Mansingh

Question 95

How many times has India won the South Asian Football Federation (SAFF) Championship as of December 2023?

9 times

5 times

6 times

7 times

Select the option that corrects the following sentence. All the workers have called of the strike.

The given sentence is divided into four segments. Select the option that has the segment with a grammatical error. He organises / a children&rsquo;s fair every year / and his friends comes / to attend it.

The underlined phrase in the given sentence has been used incorrectly. Select the option that can correctly replace the underlined segment. Samita asked out a favour of going early today.

The following sentence has been divided into four segments. Identify the segment that contains an error. They have decided / to wind out / their business / without delay.

Select the most appropriate option to fill in blank number 1.

Select the most appropriate option to fill in blank number 2.

Select the most appropriate option to fill in blank number 3.

Select the most appropriate option to fill in blank number 4.

Select the most appropriate option to fill in blank number 5.

Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select &lsquo;No substitution required&rsquo;. The plum tree in our garden is cover in blossoms, as are the trees outside my office window.

Select the most appropriate option that can substitute the underlined segment in the given sentence. We feel warm on the subject

Select the most appropriate ANTONYM of the underlined word in the given sentence. The dearth of governmental policies on the basic rights and comforts of the impaired population leads to low standard of public life in a country.

Select the most appropriate ANTONYM of the given word. Enemy

Select the most appropriate meaning of the given idiom. Put in mind

Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select &lsquo;No substitution required&rsquo;. A soldier of the tenth legion leaped into the water as soon as the ship touches the shore .

Select the most appropriate ANTONYM of the underlined word in the sentence. He laboured very hard but could not yield anything from the barren piece of land.

Select the most appropriate connotation to fill in the blank. I always love the _______ of my mother&rsquo;s cooking.

Select the INCORRECTLY spelt word.

Select the most appropriate option that can substitute the underlined segment in the given sentence. The dictator ordered the traitor were jailed.

Select the correctly spelt word.

Select the most appropriate synonym of the given word. Wonderful

Select the most appropriate meaning of the given idiom. Dog eat dog

Select the most appropriate synonym of the given word. Competent

Read the given sentence carefully. Change the meaning of the sentence by replacing the underlined word with its ANTONYM from the following options. The equivocal tone of the Prime Minister in his speech caused uproar in the chamber.

Select the most appropriate ANTONYM of the underlined word. My parents have a fertile land in the backyard.

What will come in the place of the question mark (?) in the following equation, if '+' and '-' are interchanged and '&times;' and '&divide;' are interchanged? 80 + 18 &times; 3 &divide; 5 - 23 = ?

What should come in place of the question mark (?) in the given series? 8, 21, 34, 47, 60, ?

If 9 March 2007 was Friday, then what was the day of the week on 13 March 2012?

The position of how many letters will remain unchanged if each of the letters in the word &lsquo;ABDUCTS&rsquo; is arranged in English alphabetical order?

What will come in the place of the question mark (?) in the following equation, if '+' and '&times;' are interchanged and '-' and '&divide;' are interchanged? 132 - 12 &times; 17 + 3 &divide; 27 = ?

What should come in place of the question mark (?) in the given series? 131, 263, 527, 1055, ?

What is the maximum number of rectangles in the given figure?

Which of the following numbers will replace the question mark (?) in the given series? 6, 16, 36, 76, ?, 316

In a certain code language, 'MONEY' is coded as '64381' and 'HONEY' is coded as '54381' What is the code for 'H' in that language?

Select the pair which follows the same pattern as that followed by the two set of pairs given below. Both pairs follow the same pattern. PTL : NRJ AEX : YCV

What should come in place of the question mark (?) to complete the following letter cluster series? BDC, EGF, HJI, ?

What would be the letter on the opposite side of 'R' if the given sheet is folded to form a cube?

Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the one that is different. (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)

In a certain code language, &lsquo;art of war&rsquo; is coded as &lsquo;gb pr ml&rsquo; and &lsquo;the lost art&rsquo; is coded as &lsquo;ml sj ak&rsquo;. How is &lsquo;art&rsquo; coded in the given language?

The areas of two similar triangles &Delta;PQR and &Delta;XYZ are 12.96 cm 2 and 635.04 cm 2 , respectively. If QR = 2.9 cm, then the length (in cm) of YZ equals:

In &Delta;ABC,XY is drawn parallel to BC, cutting sides at X and Y, where AB = 5.4 cm ,BC = 7.2 cm and BX = 3 cm. What is the length of XY (in cm)?

Two circles touch each other externally as shown in the figure above. The radius of the circle with centre O is 49 cm. The radius of the circle with centre A is 16 cm. Find the length (in cm) of their common tangent BC.

The graphs of two linear equations, x + 2y = 15 and 4x + 8y = 13 will be:

A boat can travel 60km downstream in 4 hours. If the speed of the boat in still water is 13 km/h, then in what time will it cover 30 km upstream?

During the first year the population of a village increased by 5% and during the second year it diminished by 5%. At the end of the second year its population was 47,880. What was the population at the beginning of the first year?

The ratio of a father&rsquo;s age to his son&rsquo;s age is 7 &ratio; 4. The product of the numbers representing their ages is 1372. The ratio of their ages after 8 years will be:

Study the given bar-graph carefully and answer the question that follows. In which year was there maximum percentage increase in the export of pearls to that in the previous year?

What is the value of cos(x + y) - sin(x - y) + tan(2z)?

The perimeter of a minor sector of a circle of radius 4 units subtending an angle of 45&deg; is:

The following table shows the production of cars in a company from 2016 to 2020 . Years 2016 2017 2018 2019 2020 A 30 23 39 25 18 B 16 10 14 12 8 C 15 18 19 25 30 D 31 12 21 19 20 There was a continuous decrease in the production of cars of which types during the period 2018 to 2020 ?

Twelve men working for 9 hours a day complete a piece of work in 24 days. In how many days can 8 men working for 12 hours a day complete the same piece of work?

How much water should be added to 60 liters of milk at \(1 \frac{1}{2}\) liters a rupee so as to have a mixture worth&nbsp; \(1 \frac{7}{8}\) liters a rupee?

If the diameter of a hemisphere is 21 cm , then the curved surface area (in cm 2 ) of the hemisphere is: Take \(\pi=\frac{22}{7}\)

A bank charges simple interest for Rs. K at the rate of \(\rm r^{\frac{1}{2}}\) for n 2 years. Another bank charges simple interest for Rs. L at the rate of&nbsp; \(\rm r^{\frac{3}{2}}\) for n 3 years and gives the same interest. The ratio between K and L is:&nbsp;

Simplify: 18 &divide; (7&nbsp;&times; 2 - 5)&nbsp;&times; 5&nbsp;&times; 24&nbsp;&divide; 30

How many numbers lie between 2000 and 2020 that are divisible by 8?

A merchant sold two refrigerators for Rs. 10,000 each. On one refrigerator, he incurred a 20% loss, and on the other, he gained 20%. What was his profit/loss percentage on the whole transaction?

Mahesh's annual salary increased from Rs. 2,00,000 to Rs. 2,40,000. Find the percentage increase in the salary.

The capacity of a cylinder tank is 8316 cm 3 . If the radius of its base is 21 cm, then find the depth of the tank.

O is the centre and the arc PQR subtends an angle of 240&deg; at O. PQ is extended to A. Then &ang;AQR is:

In a group of 250 persons, 40% are males and 60% are females. If 30 more females join the group, then what will be the percentage of females in the new group? (Correct to 2 decimal places)

A dozen pairs of gloves of Rs. 180 are available at a discount of 10%. How many pairs of gloves can be bought for Rs. 54?

Who is the founder of modern micro finance ?

Which of the following types of crops are sown after the end of the monsoon season?

Match the following musical instruments with the maestros who play them. a. Santoor i. Bismillah Khan b. Sitar&nbsp; ii. Ustad Binda Khan c. Shehnai&nbsp; iii. Pt Shiv Kumar Sharma d. Sarangi&nbsp; iv. Anushka Shankar

Who among the following was primarily an integral part of the Indian National Army (INA)?

Who among the following was appointed, to the UN tax committee in July 2021, as a member for the 2021 to 2025 term?

Which of the following was the last dynasty of the Vijayanagara Empire?

According to the Census of India-2011, which state has the largest gap between male and female literacy rates?

What is the name of the centrally sponsored scheme related with literacy that was launched by the Government of India in March 2023?

Which kind of computer security requires verifying the genuineness of the individuals or organisations that want to access a system?

As per Olympic rules, in the third game, badminton players change ends when a side scores _____ points.

Which theory describes the collective effects of changes in Earth's movements on its climate over thousands of years?

A _________________ is a cloud of dust and gas inside a galaxy.

In 2023, Gulab Chand Kataria became the Governor of which of the following states?

How many types of writs can be issued by the Supreme Court to protect the Fundamental Rights of Indian citizens?

_________ is a significant festival of the Parsi people who practice Zoroastrianism as it marks the birth anniversary of Zoroaster.

Match List-I (Name of the composition) with List-II (Writer). List - I (Name of the Composition) List - II (Writer) 1. Vande Mataram A. Pradeep 2. Jana Gana Mana B. Bankim Chandra Chattopadhyay 3. Ae Mere Watan Ke Logon C. Rabindranath Tagore

The loss of water in the form of water droplets from leaves of plants is called _____.

In which year was tennis included in the Olympic games?

The given sentence is divided into four segments. Select the option that has the segment with a grammatical error. He organises / a children’s fair every year / and his friends comes / to attend it.

Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. The plum tree in our garden is cover in blossoms, as are the trees outside my office window.

Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. A soldier of the tenth legion leaped into the water as soon as the ship touches the shore .

Select the most appropriate connotation to fill in the blank. I always love the _______ of my mother’s cooking.

What will come in the place of the question mark (?) in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged? 80 + 18 × 3 ÷ 5 - 23 = ?

The position of how many letters will remain unchanged if each of the letters in the word ‘ABDUCTS’ is arranged in English alphabetical order?

What will come in the place of the question mark (?) in the following equation, if '+' and '×' are interchanged and '-' and '÷' are interchanged? 132 - 12 × 17 + 3 ÷ 27 = ?

In a certain code language, ‘art of war’ is coded as ‘gb pr ml’ and ‘the lost art’ is coded as ‘ml sj ak’. How is ‘art’ coded in the given language?

The areas of two similar triangles ΔPQR and ΔXYZ are 12.96 cm 2 and 635.04 cm 2 , respectively. If QR = 2.9 cm, then the length (in cm) of YZ equals:

In ΔABC,XY is drawn parallel to BC, cutting sides at X and Y, where AB = 5.4 cm ,BC = 7.2 cm and BX = 3 cm. What is the length of XY (in cm)?

The ratio of a father’s age to his son’s age is 7 &ratio; 4. The product of the numbers representing their ages is 1372. The ratio of their ages after 8 years will be:

The perimeter of a minor sector of a circle of radius 4 units subtending an angle of 45° is:

How much water should be added to 60 liters of milk at \(1 \frac{1}{2}\) liters a rupee so as to have a mixture worth \(1 \frac{7}{8}\) liters a rupee?

A bank charges simple interest for Rs. K at the rate of \(\rm r^{\frac{1}{2}}\) for n 2 years. Another bank charges simple interest for Rs. L at the rate of \(\rm r^{\frac{3}{2}}\) for n 3 years and gives the same interest. The ratio between K and L is:

Simplify: 18 ÷ (7 × 2 - 5) × 5 × 24 ÷ 30

O is the centre and the arc PQR subtends an angle of 240° at O. PQ is extended to A. Then &ang;AQR is:

Match the following musical instruments with the maestros who play them. a. Santoor i. Bismillah Khan b. Sitar ii. Ustad Binda Khan c. Shehnai iii. Pt Shiv Kumar Sharma d. Sarangi iv. Anushka Shankar