SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 101

Arithmetic

If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the value of \(\sqrt {{x^3} + {y^3} + {z^3} + xyz}\) is:

Question 102

Arithmetic

If the volume of a sphere is 4851 cm 3 , then its surface area (in cm 2 ) is: (Taken \(\pi = \frac{{22}}{7}\) )

1399

1386

1268

1427

Question 103

Arithmetic

The simple interest on a sum of money at 10% per annum for 2 years is Rs. 8,100. What would be the compound interest (in Rs.) on the same sum for the same period at 15% p. a., when the interest is compounded yearly? (nearest to Rs. 1)

13,061

8,100

14,671

12,751

Question 104

Arithmetic

Let A and B be two cylinders such that the capacity of A is the same as the capacity of B. The ratio of the diameters of A and B is 1 &ratio; 4. What is the ratio of the heights of A and B?

3 : 16

16 : 3

1 : 16

16 : 1

Question 105

Arithmetic

The HCF of two numbers is 29, and the other two factors of their LCM are 15 and 13. The smaller of the two numbers is:

435

406

377

464

Question 106

Arithmetic

The average age of 40 students of a class is 16 years. After admission of 10 new students to the class, the average becomes 15 years. If the average age of 5 of the new students is 11 years, then the average age (in years) of the remaining 5 new students is:

Question 107

Arithmetic

A ladder is resting against a wall, The angle between the foot of the ladder and the wall is 45° and the foot of the ladder is 6.6 m away from the wall. The length of the ladder (in m) is:

\(6.6 \times \sqrt 2 \)

\(3.3 \times \sqrt 2\)

\(2.2\times \sqrt 2\)

\(3.6 \times \sqrt 2\)

Question 108

Arithmetic

How many numbers between 300 and 700 are divisible by 5, 6 and 8?

Question 109

Arithmetic

A sum of Rs. 36,000 is divided into two parts, A and B, such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs.) received from A is:

1,800

3,600

5,400

7,200

Question 110

Arithmetic

In an entrance examination at different centres, a total of 25, 30, 40, 45, 60 and 100 students appeared. The pass percentages of the different centres are 20%, 30%, 35%, 40%, 50% and 75%, respectively. The pass percentage of the entrance examination is: (correct to the nearest integer)

59%

43%

53%

50%

Question 111

Arithmetic

On a marked price, the difference of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 504. The marked price of the article (in Rs.) is:

15,500

16,000

18,000

16,800

Question 112

Arithmetic

An article was sold at a loss of 13.5%. If it was sold for Rs. 1,104 more, then there would have been a profit of 9.5%. The cost price of the article was:

Rs. 4,200

Rs. 4,400

Rs. 4,800

Rs. 4,600

Question 113

Arithmetic

If a + b + c = 0, then the value of   \(\frac{{{a^3}\; + \; {b^3}\; + \;{c^3}}}{{abc}}\)  is:

-1

Question 114

Arithmetic

Let A and B be two towers with the same base. From the mid point of the line joining their feet, the angles of elevation of the tops of A and B are 30° and 45°, respectively. The ration of the heights of A and B is:

\(\sqrt 3\) : 1

1 : 3

1 :  \(\sqrt 3\)

3 : 1

Question 115

Arithmetic

If \(\cot \theta = \frac{1}{{\sqrt 3 }}\) , 0° < θ° < 90°, then the value of  \(\frac{{2 - {{\sin }^2}\theta }}{{1 - {{\cos }^2}\theta }} + (cose{c^2}\theta - {\sec} \theta )\) is:

Question 116

Arithmetic

The internal length, breadth and height of a cuboidal room are 12 m, 8 m and 10 m, respectively. The total cost (in Rs.) of whitewashing only all four walls of the room at the cost of Rs. 25 per m 2 , is:

Rs. 11,400

Rs. 18,000

Rs. 10,000

Rs. 12,600

Question 117

Arithmetic

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. If the total marks obtained by students be represented as a pie chart, then the central angle of the sector representing marks 200 or more but less than 300, is: (correct to the nearest degree)

154°

128°

68°

88°

Question 118

Arithmetic

The following pie chart shows the percentage expenditure of a country on different heads. The total expenditure is Rs. 1,680 (in billions). Study the chart and answer the question. The expenditure on Education is what percentage less than the expenditure on Defence?

150%

125%

100%

50%

Question 119

Arithmetic

The ratio of the total surface area and volume of a sphere is 2 &ratio; 7. Its radius is:

10.5 cm

7 cm

10 cm

7.5 cm

Question 120

Arithmetic

In a circle with centre O, AD is a diameter and AC is a chord. Point B is on AC such that OB = 7 cm and &ang;OBA = 60°, If &ang;DOC = 60°, then what is the length of BC?

7 cm

\(3\sqrt 7\) cm

3.5 cm

\(5\sqrt 7\) cm

Question 121

Arithmetic

A can complete a certain work in 35 days and B can complete the same work in 15 days. They worked together for 7 days, then B left the work. In how many days will A alone complete 60% of the remaining work?

Question 122

Arithmetic

A pump can fill a tank with water in 1 hour. Because of a leak, it took \(1\frac{1}{3}\)  hours to fill the tank. In how many hours can the leak alone drain all the water of the tank when it is full?

Question 123

Arithmetic

Ramesh spends 40% of his monthly salary on food, 18% on house rent, 12% on entertainment, and 5% on conveyance. But due to a family function, he has to borrow Rs. 16,000 from a money lender to meet the expenses of Rs. 20,000. His monthly salary is:

Rs. 18,000

Rs. 16,500

Rs. 15,000

Rs. 16,000

Question 124

Arithmetic

If a 2 + b 2 = 82 and ab = 9, then a possible value of a 3 + b 3 is:

750

730

830

720

Question 125

Arithmetic

On the marked price of Rs. 1,250 of an article, three successive discounts of 5%, 15% and 20% were offered, The amount (in Rs.) of discount received by a customer is:

950.25

807.50

442.50

450

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

If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the value of \(\sqrt {{x^3} + {y^3} + {z^3} + xyz}\) is:

If the volume of a sphere is 4851 cm 3 , then its surface area (in cm 2 ) is: (Taken \(\pi = \frac{{22}}{7}\) )

The simple interest on a sum of money at 10% per annum for 2 years is Rs. 8,100. What would be the compound interest (in Rs.) on the same sum for the same period at 15% p. a., when the interest is compounded yearly? (nearest to Rs. 1)

Let A and B be two cylinders such that the capacity of A is the same as the capacity of B. The ratio of the diameters of A and B is 1 &ratio; 4. What is the ratio of the heights of A and B?

The HCF of two numbers is 29, and the other two factors of their LCM are 15 and 13. The smaller of the two numbers is:

The average age of 40 students of a class is 16 years. After admission of 10 new students to the class, the average becomes 15 years. If the average age of 5 of the new students is 11 years, then the average age (in years) of the remaining 5 new students is:

A ladder is resting against a wall, The angle between the foot of the ladder and the wall is 45&deg; and the foot of the ladder is 6.6 m away from the wall. The length of the ladder (in m) is:

How many numbers between 300 and 700 are divisible by 5, 6 and 8?

A sum of Rs. 36,000 is divided into two parts, A and B, such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs.) received from A is:

In an entrance examination at different centres, a total of 25, 30, 40, 45, 60 and 100 students appeared. The pass percentages of the different centres are 20%, 30%, 35%, 40%, 50% and 75%, respectively. The pass percentage of the entrance examination is: (correct to the nearest integer)

On a marked price, the difference of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 504. The marked price of the article (in Rs.) is:

An article was sold at a loss of 13.5%. If it was sold for Rs. 1,104 more, then there would have been a profit of 9.5%. The cost price of the article was:

If a + b + c = 0, then the value of &nbsp; \(\frac{{{a^3}\; + \; {b^3}\; + \;{c^3}}}{{abc}}\) &nbsp;is:

Let A and B be two towers with the same base. From the mid point of the line joining their feet, the angles of elevation of the tops of A and B are 30&deg; and 45&deg;, respectively. The ration of the heights of A and B is:

If \(\cot \theta = \frac{1}{{\sqrt 3 }}\) , 0&deg; &lt;&nbsp;&theta;&deg; &lt; 90&deg;, then the value of&nbsp; \(\frac{{2 - {{\sin }^2}\theta }}{{1 - {{\cos }^2}\theta }} + (cose{c^2}\theta - {\sec} \theta )\) is:

The internal length, breadth and height of a cuboidal room are 12 m, 8 m and 10 m, respectively. The total cost (in Rs.) of whitewashing only all four walls of the room at the cost of Rs. 25 per m 2 , is:

The following pie chart shows the percentage expenditure of a country on different heads. The total expenditure is Rs. 1,680 (in billions). Study the chart and answer the question. The expenditure on Education is what percentage less than the expenditure on Defence?

The ratio of the total surface area and volume of a sphere is 2 &ratio; 7. Its radius is:

In a circle with centre O, AD is a diameter and AC is a chord. Point B is on AC such that OB = 7 cm and &ang;OBA = 60&deg;, If&nbsp;&ang;DOC = 60&deg;, then what is the length of BC?

A can complete a certain work in 35 days and B can complete the same work in 15 days. They worked together for 7 days, then B left the work. In how many days will A alone complete 60% of the remaining work?

A pump can fill a tank with water in 1 hour. Because of a leak, it took \(1\frac{1}{3}\) &nbsp;hours to fill the tank. In how many hours can the leak alone drain all the water of the tank when it is full?

Ramesh spends 40% of his monthly salary on food, 18% on house rent, 12% on entertainment, and 5% on conveyance. But due to a family function, he has to borrow Rs. 16,000 from a money lender to meet the expenses of Rs. 20,000. His monthly salary is:

If a 2 + b 2 = 82 and ab = 9, then a possible value of a 3 + b 3 is:

On the marked price of Rs. 1,250 of an article, three successive discounts of 5%, 15% and 20% were offered, The amount (in Rs.) of discount received by a customer is:

A ladder is resting against a wall, The angle between the foot of the ladder and the wall is 45° and the foot of the ladder is 6.6 m away from the wall. The length of the ladder (in m) is:

If a + b + c = 0, then the value of \(\frac{{{a^3}\; + \; {b^3}\; + \;{c^3}}}{{abc}}\) is:

Let A and B be two towers with the same base. From the mid point of the line joining their feet, the angles of elevation of the tops of A and B are 30° and 45°, respectively. The ration of the heights of A and B is:

If \(\cot \theta = \frac{1}{{\sqrt 3 }}\) , 0° < θ° < 90°, then the value of \(\frac{{2 - {{\sin }^2}\theta }}{{1 - {{\cos }^2}\theta }} + (cose{c^2}\theta - {\sec} \theta )\) is:

In a circle with centre O, AD is a diameter and AC is a chord. Point B is on AC such that OB = 7 cm and &ang;OBA = 60°, If &ang;DOC = 60°, then what is the length of BC?

A pump can fill a tank with water in 1 hour. Because of a leak, it took \(1\frac{1}{3}\) hours to fill the tank. In how many hours can the leak alone drain all the water of the tank when it is full?