SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 276

Arithmetic

A pump can fill a tank with water in 3 hours. Because of a leak, it took \(3\frac{1}{3}\) 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 277

Arithmetic

A number is first increased by 40% and then decreased by 25%, again increased by 15% and then decreased by 20%. What is the net increase/decrease per cent in the number?

7.2% decrease

6.4% increase

3.4% decrease

3.4% increase

Question 278

Arithmetic

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. The number of students who obtained less than 350 marks is what per cent more than the number of students who obtained 400 or more marks? (correct to one decimal place)

350%

375.8%

385.7%

100%

Question 279

Arithmetic

The value of -7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (4 ÷ 4 of 2)}] is:

-7

\(- \frac{7}{2}\)

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

Question 280

Arithmetic

The given bar graph shows the sales of cars from six branches of a dealer B1, B2, B3, B4, B5, B6, during two consecutive years 2018 and 2019. The 1st bar corresponds to the year 2018 and the 2nd bar corresponds to the year 2019. In the bar graph, the ratio of the total sales from branches B1, B2 and B3 taken together for the year 2018 to the sales from the branches B6, B4 and B5 for the year 2019, is:

25 : 27

25 : 29

27 : 25

29 : 25

Question 281

Arithmetic

The given bar graph shows the sales of cars from six branches of a dealer B1, B2, B3, B4, B5, B6, during two consecutive years 2018 and 2019. Blue color corresponds to the year 2018 and the light blue color corresponds to the year 2019. The total sale of cars from all the branches in the year 2018 is what percentage less than the total sales of cars from all the branches in the year 2019? (correct to one decimal place)

14.3%

13.5%

12.7%

11.9%

Question 282

Arithmetic

The average temperature for Monday, Wednesday and Friday was 41°C. The average for Wednesday, Friday and Thursday was 42°C. If the temperature on Thursday was 43°C, then the temperature on Monday was:

41°C

42°C

43°C

40°C

Question 283

Arithmetic

What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?

625

400

180

900

Question 284

Arithmetic

In ΔABC, &ang;A = 68°. If I is the incentre of the triangle, then the measure of &ang;BIC is:

124°

68°

54°

148°

Question 285

Arithmetic

If 25% of 400 + 35% of 1260 + 27% of 1800 = 1020 + x, then the value of x lies between:

11 to 15

0 to 5

16 to 20

6 to 10

Question 286

Arithmetic

Pipes A, B and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B and C are opened at 6 a.m., 8 a.m. and 10 a.m., respectively, on the same day. When will the tank be full?

11:20 p.m.

3:20 p.m.

7:20 p.m.

5:20 p.m.

Question 287

Arithmetic

A class has five sections that have 25, 30, 40, 45 and 60 students, respectively. The pass percentage of these sections are 20%, 30%, 35%, 40% and 100%, respectively. The pass percentage of the entire class is:

87%

79%

63%

53%

Question 288

Arithmetic

Let A and B be two towers with same base. From the midpoint of the line joining their feet, the angles of elevation of the tops of A and B are 30° and 60°, respectively. The ratio of the heights of B and A is:

3 : 1

\(1: \sqrt 3\)

1 : 2

1 : 3

Question 289

Arithmetic

A train travelling at the speed of x km/h crossed a 300 m long platform in 30 seconds, and overtook a man walking in the same direction at 6 km/h in 20 seconds. What is the value of x?

102

Question 290

Arithmetic

A sum of Rs. 27,000 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 together from A and B is:

18,000

9,600

5,400

10,800

Question 291

Arithmetic

The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of a square by 10 cm and the breadth is less than 5 cm. The perimeter (in cm) of the rectangle is:

100

Question 292

Arithmetic

On the marked price of an article, the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 1,995. The marked price of the article (in Rs.) is:

1,500

1,550

1,800

1,600

Question 293

Arithmetic

When a number is successively divided by 3, 4 and 7, the remainders obtained are 2, 3 and 5, respectively. What will be the remainder when 84 divides the same number?

Question 294

Arithmetic

Three partners shared the profit in a business in the ratio 8 : 7 : 5. They invested their capitals for 7 months, 8 months and 14 months, respectively. What was the ratio of their capitals?

20 : 64 : 49

64 : 49 : 20

20 : 49 : 64

49 : 64 : 20

Question 295

Arithmetic

The internal measures of a cuboidal room are with length as 12 m, breadth as 8 m and height as 10 m. The total cost (in Rs.) of whitewashing all four walls of the room and also ceiling of the room, if the cost of whitewashing is Rs. 25 per m 2 , is:

12,400

13,600

18,000

12,000

Question 296

Arithmetic

P and Q together can do a work in 12 days. P alone can do the same work in 18 days. In how many days can Q alone complete two-third part of the same work?

21days

30days

24days

36days

Question 297

Arithmetic

A 64 cm wide path is made around a circular garden having a diameter of 10 metres. The area (in m 2 ) of the path is closest to: (Take \(\pi = \frac{{22}}{7}\) )

Question 298

Arithmetic

How many numbers between 400 and 700 are divisible by 5, 6 and 7?

Question 299

Arithmetic

Study the given histogram that shows the marks obtained by student in an examination and answer the question that follows. The number of students who obtained less than 250 marks is:

135

Question 300

Arithmetic

If 4θ is an acute angle, and cot 4θ = tan (θ - 5°) , then what is the value of θ?

24°

45°

21°

19°

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

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

A number is first increased by 40% and then decreased by 25%, again increased by 15% and then decreased by 20%. What is the net increase/decrease per cent in the number?

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. The number of students who obtained less than 350 marks is what per cent more than the number of students who obtained 400 or more marks? (correct to one decimal place)

The value of -7 &divide; [5 + 1 &divide; 2 - {4 + (4 of 2 &divide; 4) + (4 &divide; 4 of 2)}] is:

The average temperature for Monday, Wednesday and Friday was 41&deg;C. The average for Wednesday, Friday and Thursday was 42&deg;C. If the temperature on Thursday was 43&deg;C, then the temperature on Monday was:

What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?

In &Delta;ABC, &ang;A = 68&deg;. If I is the incentre of the triangle, then the measure of &ang;BIC is:

If 25% of 400 + 35% of 1260 + 27% of 1800 = 1020 + x, then the value of x lies between:

Pipes A, B and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B and C are opened at 6 a.m., 8 a.m. and 10 a.m., respectively, on the same day. When will the tank be full?

A class has five sections that have 25, 30, 40, 45 and 60 students, respectively. The pass percentage of these sections are 20%, 30%, 35%, 40% and 100%, respectively. The pass percentage of the entire class is:

Let A and B be two towers with same base. From the midpoint of the line joining their feet, the angles of elevation of the tops of A and B are 30&deg; and 60&deg;, respectively. The ratio of the heights of B and A is:

A train travelling at the speed of x km/h crossed a 300 m long platform in 30 seconds, and overtook a man walking in the same direction at 6 km/h in 20 seconds. What is the value of x?

A sum of Rs. 27,000 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 together from A and B is:

The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of a square by 10 cm and the breadth is less than 5 cm. The perimeter (in cm) of the rectangle is:

On the marked price of an article, the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 1,995. The marked price of the article (in Rs.) is:

When a number is successively divided by 3, 4 and 7, the remainders obtained are 2, 3 and 5, respectively. What will be the remainder when 84 divides the same number?

Three partners shared the profit in a business in the ratio 8 : 7 : 5. They invested their capitals for 7 months, 8 months and 14 months, respectively. What was the ratio of their capitals?

The internal measures of a cuboidal room are with length as 12 m, breadth as 8 m and height as 10 m. The total cost (in Rs.) of whitewashing all four walls of the room and also ceiling of the room, if the cost of whitewashing is Rs. 25 per m 2 , is:

P and Q together can do a work in 12 days. P alone can do the same work in 18 days. In how many days can Q alone complete two-third part of the same work?

A 64 cm wide path is made around a circular garden having a diameter of 10 metres. The area (in m 2 ) of the path is closest to: (Take \(\pi = \frac{{22}}{7}\) )

How many numbers between 400 and 700 are divisible by 5, 6 and 7?

Study the given histogram that shows the marks obtained by student in an examination and answer the question that follows. The number of students who obtained less than 250 marks is:

If 4&theta; is an acute angle, and cot 4&theta; = tan (&theta; - 5&deg;) , then what is the value of&nbsp;&theta;?

The value of -7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (4 ÷ 4 of 2)}] is:

The average temperature for Monday, Wednesday and Friday was 41°C. The average for Wednesday, Friday and Thursday was 42°C. If the temperature on Thursday was 43°C, then the temperature on Monday was:

In ΔABC, &ang;A = 68°. If I is the incentre of the triangle, then the measure of &ang;BIC is:

Let A and B be two towers with same base. From the midpoint of the line joining their feet, the angles of elevation of the tops of A and B are 30° and 60°, respectively. The ratio of the heights of B and A is:

If 4θ is an acute angle, and cot 4θ = tan (θ - 5°) , then what is the value of θ?