SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 201

Arithmetic

Let Δ ABC &sim; Δ RPQ and  \(\frac{{ar(\Delta ABC)}}{{ar(\Delta RPQ)}} = \frac{4}{9}\) . If AB = 3 cm, BC = 4 cm and AC = 5 cm, then RP (in cm) is equal to:

4.5 cm

12 cm 

5 cm

6 cm

Question 202

Arithmetic

A person's salary has increased from Rs. 7,000 to Rs. 12,000. What is the percentage increase in his salary?

\(61 \frac{1}{7}\) %

\(76 \frac{4}{7}\) %

\(69 \frac{1}{7}\) %

\(71 \frac{3}{7}\) %

Question 203

Arithmetic

A and B can do a piece of work in 25 days. B alone can do \(66 \frac{2}{3}\) % of the same work in 30 days. In how many days can A alone do (4/15) part of same work?

Question 204

Arithmetic

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

-33

-9

Question 205

Arithmetic

The two parallel sides of a trapezium are 17 cm and 15 cm, respectively. If the height of the trapezium is 6 cm, then its area (in m 2 ) is:

0.96 m 2

0.0096 m 2

9.6 m 2

960 m 2

Question 206

Arithmetic

If x 2 – 3x + 1 = 0, then the value of \((x^4 + \frac{1}{x^2}) \div (x^2+1)\)  is:

Question 207

Arithmetic

If six - digit number 5x2y6z is divisible by 7, 11 and 13, then the value of (x – y + 3z) is:

Question 208

Arithmetic

If the annual rate of simple interest increases from 11% to \(17 \frac{1}{2}\) %, then a person's yearly income increases by Rs. 1,071.20. The simple interest (in Rs.) on the same sum at 10% for 5 years is:

9,120

8,240

16,480

7,250

Question 209

Arithmetic

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

Rs. 5,533.50

Rs. 2,735.50

Rs. 5,100

Rs. 2,500

Question 210

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 area (in m 2 ) of the lawn of the smaller side of the rectangle is 12 m? (Take π = 3.14)

548.32

444

853.2

308.64

Question 211

Arithmetic

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

596

1250

625

660

Question 212

Arithmetic

In ΔABC, AB and AC are produced to points D and E, respectively. If the bisectors of &ang;CBD and &ang;BCE meet at the point O, and &ang;BOC = 57°, then &ang;A is equal to:

66° 

93°

114°

57°

Question 213

Arithmetic

A single discount equivalent to three successive discounts of 6%, 15% and 14% is:

34.357%

17.5%

68.714%

31.286%

Question 214

Arithmetic

If x + y + z = 17, xyz = 171 and xy + yz + zx = 111, then the value of \(\sqrt[3]{{(x^3+y^3+z^3+xyz)}}\)  is:

-4

-64

Question 215

Arithmetic

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

59 : 66

33 : 17

66 : 59

17 : 33

Question 216

Arithmetic

A solid sphere of radius 11 cm is melted and recast into small solid spheres of radius 2 cm each. How many maximum number (in integer) of such spheres can be made?

125

166

100

Question 217

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. E's 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. What is the average weight (in kg) of A, D and E? (Correct to the nearest integer)

Question 218

Arithmetic

A solid metallic cube of side 9 cm and a solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted to from a single cube. How much (in Rs.) is the cost to polish the new cube at a rate of Rs. 10 per cm 2 ?

8,650

11,760

13,620

27,440

Question 219

Arithmetic

The least number which is exactly divisible by 4, 5, 8, 10 and 12 is:

120

150

180

240

Question 220

Arithmetic

The given pie chart shows the percentage distribution of 450 employees in an organization. Read the pie chart and answer the question that follows. If 75% of the employees in department D are males, how many female employees are there in that department?

Question 221

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:

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

\(\frac{11}{3}\)

Question 222

Arithmetic

If the average price of three chairs is Rs. 14,014 and their prices are in the ratio of 3 : 4 : 7, then the highest price (in Rs.) of chair is:

15,015

3,003

9,009

21,021

Question 223

Arithmetic

The remainder when 72 × 73 × 78 × 76 is divided by 35 is: 

Question 224

Arithmetic

The value of \(\frac{{{{\sin }^2}30^\circ + {{\cos }^2}60^\circ + sec45^\circ .sin45^\circ }}{{sec60^\circ + cosec30^\circ }}\)  is:

\(\frac{1}{4}\)

\(\frac{3}{8}\)

\(-\frac{1}{4}\)

\(-\frac{3}{8}\)

Question 225

Arithmetic

The given histogram shows the frequency distribution of the speed of cars passing through a particular spot on a highway. Read the graph and answer the following questions. The number of cars with speed (km/h) in the interval (60 - 70) km/h is what percentage less than the number of cars with speed (km/h) in the interval (70 - 80) km/h? (correct to one decimal place)

5.6%

8.6%

7.5%

5.9%

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

Let &Delta; ABC&nbsp;&sim;&nbsp;&Delta; RPQ and&nbsp; \(\frac{{ar(\Delta ABC)}}{{ar(\Delta RPQ)}} = \frac{4}{9}\) . If AB = 3 cm, BC = 4 cm and AC = 5 cm, then RP (in cm) is equal to:

A person's salary has increased from Rs. 7,000 to Rs. 12,000. What is the percentage increase in his salary?

A and B can do a piece of work in 25 days. B alone can do \(66 \frac{2}{3}\) % of the same work in 30 days. In how many days can A alone do (4/15) part of same work?

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

The two parallel sides of a trapezium are 17 cm and 15 cm, respectively. If the height of the trapezium is 6 cm, then its area (in m 2 ) is:

If x 2 &ndash; 3x + 1 = 0, then the value of \((x^4 + \frac{1}{x^2}) \div (x^2+1)\) &nbsp;is:

If six - digit number 5x2y6z is divisible by 7, 11 and 13, then the value of (x &ndash; y + 3z) is:

If the annual rate of simple interest increases from 11% to \(17 \frac{1}{2}\) %, then a person's yearly income increases by Rs. 1,071.20. The simple interest (in Rs.) on the same sum at 10% for 5 years is:

If the difference between the compounded interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is Rs. 433.50, then compound interest (in Rs.) 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 area (in m 2 ) of the lawn of the smaller side of the rectangle is 12 m? (Take &pi; = 3.14)

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

In &Delta;ABC, AB and AC are produced to points D and E, respectively. If the bisectors of&nbsp;&ang;CBD and&nbsp;&ang;BCE meet at the point O, and&nbsp;&ang;BOC = 57&deg;, then&nbsp;&ang;A is equal to:

A single discount equivalent to three successive discounts of 6%, 15% and 14% is:

If x + y + z = 17, xyz = 171 and xy + yz + zx = 111, then the value of \(\sqrt[3]{{(x^3+y^3+z^3+xyz)}}\) &nbsp;is:

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

A solid sphere of radius 11 cm is melted and recast into small solid spheres of radius 2 cm each. How many maximum number (in integer) of such spheres can be made?

A solid metallic cube of side 9 cm and a solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted to from a single cube. How much (in Rs.) is the cost to polish the new cube at a rate of Rs. 10 per cm 2 ?

The least number which is exactly divisible by 4, 5, 8, 10 and 12 is:

The given pie chart shows the percentage distribution of 450 employees in an organization. Read the pie chart and answer the question that follows. If 75% of the employees in department D are males, how many female employees are there in that department?

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

If the average price of three chairs is Rs. 14,014 and their prices are in the ratio of 3 : 4 : 7, then the highest price (in Rs.) of chair is:

The remainder when 72 &times; 73&nbsp;&times; 78&nbsp;&times; 76 is divided by 35 is:&nbsp;

The value of \(\frac{{{{\sin }^2}30^\circ + {{\cos }^2}60^\circ + sec45^\circ .sin45^\circ }}{{sec60^\circ + cosec30^\circ }}\) &nbsp;is:

Let Δ ABC &sim; Δ RPQ and \(\frac{{ar(\Delta ABC)}}{{ar(\Delta RPQ)}} = \frac{4}{9}\) . If AB = 3 cm, BC = 4 cm and AC = 5 cm, then RP (in cm) is equal to:

If x 2 – 3x + 1 = 0, then the value of \((x^4 + \frac{1}{x^2}) \div (x^2+1)\) is:

If six - digit number 5x2y6z is divisible by 7, 11 and 13, then the value of (x – y + 3z) 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 area (in m 2 ) of the lawn of the smaller side of the rectangle is 12 m? (Take π = 3.14)

In ΔABC, AB and AC are produced to points D and E, respectively. If the bisectors of &ang;CBD and &ang;BCE meet at the point O, and &ang;BOC = 57°, then &ang;A is equal to:

If x + y + z = 17, xyz = 171 and xy + yz + zx = 111, then the value of \(\sqrt[3]{{(x^3+y^3+z^3+xyz)}}\) 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:

The remainder when 72 × 73 × 78 × 76 is divided by 35 is:

The value of \(\frac{{{{\sin }^2}30^\circ + {{\cos }^2}60^\circ + sec45^\circ .sin45^\circ }}{{sec60^\circ + cosec30^\circ }}\) is: