Quantitative Aptitude Questions (Part 3) for SSC CPO Previous Year Question Paper 2020 | TypeHindi

Question 51

Arithmetic

Three successive discounts of 12%, 13% and 11% are equivalent to an approximate single discount of:

A

32%

B

42%

C

40%

D

35%

Question 52

Arithmetic

The value of \(1 - 3 \div 6\;of\;2 + \left( {4 \div 4\;of\frac{1}{4}} \right) \div 8 + \left( {4 \times 8 \div \frac{1}{4}} \right) \times \frac{1}{8}\)  is:

A

69/4

B

-69/4

C

7/4

D

-7/4

Question 53

Arithmetic

A circle is inscribed in a triangle ABC. It touches side AB, BC, and AC at points R, P, and Q, respectively. If AQ = 2.6 cm, PC = 2.7 cm and BR = 3 cm, then the perimeter (in cm) of the triangle ABC is:

A

33.2

B

16.6

C

28

D

30

Question 54

Arithmetic

The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertex, circles of radius 4.2 cm are drawn. What is the area (in cm 2 ) of the portion covered by the three sectors of the circle ? (π = 22/7)

A

27.72

B

92.28

C

105.86

D

120

Question 55

Arithmetic

A, B and C started a business investing amounts of Rs. 13,750, Rs. 16,250 and Rs. 18,750 respectively. lf B's share in the profit earned by them is Rs. 5,200. what is the difference in the profit (in Rs.) earned by A and C ?

A

1,200

B

1,600

C

1,800

D

1,500

Question 56

Arithmetic

The following histogram shows the weights of students of class X in a school on a particular day. Total number of students enrolled in class X = 200 The number of students weighing less than 55 kg is what percentage less than the number of students weighing 55 kg to 65 kg ?

A

10%

B

8%

C

5%

D

7%

Question 57

Arithmetic

A ladder leaning against a wall makes an angle θ with the horizontal ground such that tan θ = 12/5. If the height of the top of the ladder from the wall is 24 m., then what is the distance (in m) of the foot of the ladder from the walI ?

A

19.5

B

10

C

18

D

7.5

Question 58

Arithmetic

The given bar graph shows the number of student of two schools over a period of six years. In the bar graph, what is the ratio of the average of total students from school B to the average of total student from school A ?

A

429 : 370

B

370 : 429

C

429 : 799

D

799 : 429

Question 59

Arithmetic

The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the sixth and seventh numbers is:

A

47.5

B

50

C

44.5

D

39

Question 60

Arithmetic

A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. What is the average time taken by A and B to walk a 40 km distance ?

A

5 hours 15 minutes

B

7 hours 15 minutes

C

6 hours

D

5 hours 45 minutes

Question 61

Arithmetic

A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x ,  then what is the length of y (in m) ?

A

210

B

200

C

168

D

252

Question 62

Arithmetic

If A's salary is 30% more than B's salary, then by what percentage is B's salary less than that of A ? (correct to one decimal place)

A

17.5%

B

19.7%

C

23.1%

D

25%

Question 63

Arithmetic

The radius of the base of a cylinder of a cylinder is 14 cm and its volume is 6160 cm 3 . The curved surface area (in cm 2 ) is: (take π = 22/7)

A

880

B

778

C

940

D

660

Question 64

Arithmetic

If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage (correct to the nearest integer) more than (x - 10)% of 780 ?

A

12%

B

17%

C

14%

D

18%

Question 65

Arithmetic

The given graph shows the number of students of two schools over a period of six years. In the bar graph, in which year is the absolute difference of the students from schools A to B taken together is maximum ?

A

2013

B

2010

C

2011

D

2012

Question 66

Arithmetic

In ΔABC, BD &perp; AC at D, E is a point on BC such that &ang;BEA = x°. If &ang;EAC = 62° and &ang; EBD = 60°, then the value of x is:

A

78°

B

76°

C

92°

D

68°

Question 67

Arithmetic

What is the sum of the digits of the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11 ?

A

17

B

15

C

18

D

16

Question 68

Arithmetic

If 4(cosec 2 57 - tan 2  33) - cos 90 + y × tan 2  66 × tan 2  24 = y/2, then the value of y is:  

A

8

B

-4

C

4

D

-8

Question 69

Arithmetic

Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9 : 10. What is the difference between their present ages in years ?

A

2

B

6

C

3

D

4

Question 70

Arithmetic

If x + y + z = 19, x 2 + y 2  + z 2  = 133 and xz = y 2 , x > z > 0, what is the value of (x - z) ?

A

-2

B

-5

C

5

D

0

Question 71

Arithmetic

If 4 - 2sin 2 θ - 5cosθ = 0, 0°< θ < 90°, then the value of cosθ - tanθ is:  

A

\(\frac{{1 + 2\surd 3}}{2}\)

B

\(\frac{{2 - \surd 3}}{2}\)

C

\(\frac{{2 + \surd 3}}{2}\)

D

\(\frac{{1 - 2\surd 3}}{2}\)

Question 72

Arithmetic

If a nine-digit number 785x3678y is divisible by 72, then the value of (x + y) is:

A

5

B

12

C

10

D

20

Question 73

Arithmetic

The average weight of A, B and C is 65 kg. If the average weight of C and B is 61.5 kg, and the average weight of A and C is 68.5 kg, then the weight of C (in kg) is:

A

65

B

68

C

67

D

60

Question 74

Arithmetic

The value of \(\left[\frac{{40 + \frac{3}{4}\;of\;32}}{{37 + \frac{3}{4}\;of\;\left( {34 - 6} \right)}}\right]\)  is:

A

\(2 \frac{3}{29}\)

B

\(-1 \frac{3}{29}\)

C

\(1 \frac{9}{29}\)

D

\(1 \frac{3}{29}\)

Question 75

Arithmetic

The given pie charts represent the popularity of ice-cream flavours in the years 2005 and 2015. If a percentage point shift results in annual additional sales of Rs. 5,000. how much (in Rs.) did the combined annual strawberry and butterscotch sales increase from 2005 to 2015 ?

A

37,000

B

74,000

C

65,000

D

10,000

Three successive discounts of 12%, 13% and 11% are equivalent to an approximate single discount of:

The value of \(1 - 3 \div 6\;of\;2 + \left( {4 \div 4\;of\frac{1}{4}} \right) \div 8 + \left( {4 \times 8 \div \frac{1}{4}} \right) \times \frac{1}{8}\) &nbsp;is:

A circle is inscribed in a triangle ABC. It touches side AB, BC, and AC at points R, P, and Q, respectively. If AQ = 2.6 cm, PC = 2.7 cm and BR = 3 cm, then the perimeter (in cm) of the triangle ABC is:

The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertex, circles of radius 4.2 cm are drawn. What is the area (in cm 2 ) of the portion covered by the three sectors of the circle ? (&pi; = 22/7)

A, B and C started a business investing amounts of Rs. 13,750, Rs. 16,250 and Rs. 18,750 respectively. lf B's share in the profit earned by them is Rs. 5,200. what is the difference in the profit (in Rs.) earned by A and C ?

The following histogram shows the weights of students of class X in a school on a particular day. Total number of students enrolled in class X = 200 The number of students weighing less than 55 kg is what percentage less than the number of students weighing 55 kg to 65 kg ?

A ladder leaning against a wall makes an angle &theta; with the horizontal ground such that tan &theta; = 12/5. If the height of the top of the ladder from the wall is 24 m., then what is the distance (in m) of the foot of the ladder from the walI ?

The given bar graph shows the number of student of two schools over a period of six years. In the bar graph, what is the ratio of the average of total students from school B to the average of total student from school A ?

A takes 2 hours 30 minutes&nbsp;more than B to&nbsp;walk 40 km.&nbsp;If A doubles&nbsp;his speed, then he can make&nbsp;it&nbsp;in 1&nbsp;hour less than B. What is the average time taken by A and B to walk a 40 km distance ?

A train x running at 74 km/h&nbsp;crosses another&nbsp;train&nbsp;y running&nbsp;at&nbsp;52 km/h&nbsp;in&nbsp;the opposite&nbsp;direction&nbsp;in 12&nbsp;seconds. If&nbsp;the&nbsp;length of y&nbsp;is two-thirds that of x ,&nbsp; then what is the length of y (in m) ?

If A's salary is 30% more than B's salary, then by what percentage is B's salary less than that of A ? (correct to one decimal place)

The radius of the base of a cylinder of a cylinder is 14 cm and its volume is 6160 cm 3 . The curved surface area (in cm 2 ) is: (take &pi; = 22/7)

If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage (correct to the nearest integer) more than (x - 10)% of 780 ?

The given graph shows the number of students of two schools over a period of six years. In the bar graph, in which year is the absolute difference of the students from schools A to B taken together is maximum ?

In &Delta;ABC, BD &perp; AC at D, E is a point on BC such that &ang;BEA = x&deg;. If&nbsp;&ang;EAC = 62&deg; and&nbsp;&ang; EBD = 60&deg;, then the value of x is:

What is the sum of the digits of the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11 ?

If 4(cosec 2 57 - tan 2 &nbsp;33) - cos 90 + y&nbsp;&times; tan 2 &nbsp;66&nbsp;&times; tan 2&nbsp; 24 = y/2, then the value of y is:&nbsp;&nbsp;

Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9 : 10. What is the difference between their present ages in years ?

If x + y + z = 19, x 2 + y 2 &nbsp;+ z 2 &nbsp;= 133 and xz = y 2 , x &gt; z &gt; 0, what is the value of (x - z) ?

If 4 - 2sin 2 &theta; - 5cos&theta; = 0, 0&deg;&lt; &theta; &lt; 90&deg;, then the value of cos&theta; - tan&theta; is: &nbsp;

If a nine-digit number 785x3678y is divisible by 72, then the value of (x + y) is:

The average weight of A, B and C is 65 kg. If the average weight of C and B is 61.5 kg, and the average weight of A and C is 68.5 kg, then the weight of C (in kg) is:

The value of \(\left[\frac{{40 + \frac{3}{4}\;of\;32}}{{37 + \frac{3}{4}\;of\;\left( {34 - 6} \right)}}\right]\) &nbsp;is:

The given pie charts represent the popularity of ice-cream flavours in the years 2005 and 2015. If a percentage point shift results in annual additional sales of Rs. 5,000. how much (in Rs.) did the combined annual strawberry and butterscotch sales increase from 2005 to 2015 ?

The value of \(1 - 3 \div 6\;of\;2 + \left( {4 \div 4\;of\frac{1}{4}} \right) \div 8 + \left( {4 \times 8 \div \frac{1}{4}} \right) \times \frac{1}{8}\) is:

The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertex, circles of radius 4.2 cm are drawn. What is the area (in cm 2 ) of the portion covered by the three sectors of the circle ? (π = 22/7)

A ladder leaning against a wall makes an angle θ with the horizontal ground such that tan θ = 12/5. If the height of the top of the ladder from the wall is 24 m., then what is the distance (in m) of the foot of the ladder from the walI ?

A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. What is the average time taken by A and B to walk a 40 km distance ?

A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x , then what is the length of y (in m) ?

The radius of the base of a cylinder of a cylinder is 14 cm and its volume is 6160 cm 3 . The curved surface area (in cm 2 ) is: (take π = 22/7)

In ΔABC, BD &perp; AC at D, E is a point on BC such that &ang;BEA = x°. If &ang;EAC = 62° and &ang; EBD = 60°, then the value of x is:

If 4(cosec 2 57 - tan 2 33) - cos 90 + y × tan 2 66 × tan 2 24 = y/2, then the value of y is:

If x + y + z = 19, x 2 + y 2 + z 2 = 133 and xz = y 2 , x > z > 0, what is the value of (x - z) ?

If 4 - 2sin 2 θ - 5cosθ = 0, 0°< θ < 90°, then the value of cosθ - tanθ is:

The value of \(\left[\frac{{40 + \frac{3}{4}\;of\;32}}{{37 + \frac{3}{4}\;of\;\left( {34 - 6} \right)}}\right]\) is: