SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 1

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?

Question 2

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:

57°

93°

114°

66°

Question 3

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?

Question 4

Arithmetic

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

68.816%

31.184%

17.5%

35%

Question 5

Arithmetic

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

\(6 \frac 1 9 \%\)

\(11 \frac 1 9 \%\)

\(9 \frac 1 9 \%\)

\(13 \frac 7 9 \%\)

Question 6

Arithmetic

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

21.45

15.84

23.27

17.64

Question 7

Arithmetic

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

120

240

150

180

Question 8

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?

660

616

596

569

Question 9

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:

Question 10

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)

29.7%

15.5%

22.2%

28.6%

Question 11

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:

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

-2

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

Question 12

Arithmetic

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

Question 13

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)

86,540

78,650

85,320

97,625

Question 14

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?

72°

108°

90°

36°

Question 15

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:

Question 16

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:

12,000

20,000

15,000

25,000

Question 17

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?

59 : 66

61 : 59

59 : 61

66 : 59

Question 18

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:

60,000

50,000

40,000

25,000

Question 19

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?

7 : 8

8 : 7

4 : 5

5 : 4

Question 20

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?

120

Question 21

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:

25,000

17,500

18,000

21,000

Question 22

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?

4 hours

5 hours 20 minutes

4 hours 10 minutes

5 hours

Question 23

Arithmetic

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

728

872

628

782

Question 24

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:

\(\frac 1 4\)

\(-\frac 1 4\)

\(\frac 1 8\)

\(-\frac 1 8\)

Question 25

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?

45°

60°

58°

32°

1 2 3 4 5 6 7 8 9 10 11 12

In &Delta;ABC,&nbsp;&ang;A = 66&deg;. 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&nbsp;&ang;BOC is equal to:

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

A person's salary increased from Rs. 8,100&nbsp;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 &pi; \(= \frac {22} 7\) )

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

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?

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:

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:

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

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 &pi; = 3.14)

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?

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:

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:

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 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 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?

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:

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?

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

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

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

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?