SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 226

Arithmetic

The students of a class donated a sum of Rs. 2,809 to the Fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is:

Question 227

Arithmetic

A man spends 75% of his income. If his income increases by 28% and his expenditure increases by 20%, then what is the increase or decrease percentage in his savings?

13% increase

52% decrease

13% decrease

52% increase

Question 228

Arithmetic

The given pie chart shows the percentage distribution of 450 employees in an organisation. Read the pie chart and answer the question that follows. What is the number of employees working in department F?

Question 229

Arithmetic

The length of the shadow of a vertical pole on the ground in 36 m. If the angle of elevation of the sun at that time is θ, such that secθ = (13/12) then what is the height (in m) of the pole?

Question 230

Arithmetic

PA and PB are two tangents from a point P outside the circle with center O at the point A and B on it. If &ang;APB = 130°, then &ang;OAB is equal to:

45° 

65°

35°

50°

Question 231

Arithmetic

A sum of Rs. 8,200 was divided among A, B and C in such a way that A had Rs. 500 more than B and C had Rs. 300 more than A. How much C's share (in Rs.)?

Rs. 2,300

Rs. 3,100

Rs. 2,800

Rs. 2,000

Question 232

Arithmetic

The given pie chart shows the percentage distribution of 450 employees in an organisation. Read the pie chart and answer the question that follows. What is the central angle of the sector representing the number of employees in department E?

36° 

108°

90°

72°

Question 233

Arithmetic

The monthly salary of a person was Rs. 75,000. He used to spend on Family Expenses (E), Taxes (T), Charity (C) and rest were his savings. E was 60% of the income, T was 20% of E, and C was 15% of T. When his salary got raised by 40% he maintained the percentage level of E, but T became 30% of E and C became 20% of T. The ratio of the savings of his earlier salary to that of his present salary is:

337 : 325

644 : 655

655 : 644

325 : 337

Question 234

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 question. 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 70 km/h?

13 : 8

8 : 5

8 : 13

5 : 8

Question 235

Arithmetic

The value of \(2 \frac{1}{3} \div 2 \frac{1}{2} \ of \ 1 \frac{3}{5} + (\frac{3}{8} + \frac{1}{7} \times 1 \frac{3}{4})\)  is:

25/24

29/24

35/24

5/24

Question 236

Arithmetic

A person covers 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 time taken for the return journey. If he returned at a speed of 10 km/h more than the speed of going. What was the speed (in km/h) for the outward journey?

15 km/h

20 km/h

30 km/h

25 km/h

Question 237

Arithmetic

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and &ang;ADC = 118°. What is the measure of &ang;BAC?

32° 

28°

45°

30°

Question 238

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 question. What percentage of cars were running with the speed of 90 km/hr and above?

10%

21.25%

11.25%

15.75%

Question 239

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 B alone complete the same work?

120

Question 240

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 earlier selling price of the article (in Rs.) is:

50,000

40,000

55,000

60,000

Question 241

Arithmetic

If sin3x = cos(3x – 45°), 0° < 3x < 90°, then x is equal to:

27.5° 

45°

35°

22.5°

Question 242

Arithmetic

Asha and Suman's mud forts have heights 9 cm and 16 cm. If the fort tops are at 25 cm apart from each other, then the distance (in cm) between two forts is:

Question 243

Arithmetic

The area of a field in the shape of a hexagon is 1944√3 m 2 . What will be the cost (in Rs.) of fencing it at the rate of Rs. 11.50 per metre?

Rs. 2,256

Rs. 2,785

Rs. 2,484

Rs. 3,200

Question 244

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. In which school is the percentage of boys more than 55%?

Question 245

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 paid was:

25,000

21,000

15,400

17,500

Question 246

Arithmetic

The value of \(\;\left( {5\frac{1}{{4\;}} \div \;\frac{{3\;}}{7}of\;\frac{1}{2}} \right) \div \left( {5\frac{1}{9} - 7\frac{7}{{8\;}} \div \;9\frac{9}{{20}}} \right) \times \frac{{11}}{{21}} - \left( {5 \div 2\;of\frac{1}{2}} \right)\) is:

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

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

-2

Question 247

Arithmetic

A bus covers a 60 kilometre distance in 1 hour 30 minutes, whereas the same distance is covered by a car in 45 minutes. What is the ratio of the speed of the car to the speed of the bus?

5 : 3

1 : 2

2 : 1

3 : 5

Question 248

Arithmetic

A and B started a business investing amounts of Rs. 92,500 and Rs. 1,12,500, respectively. If B's share in the profit earned by them is Rs. 9,000, what is the profit (in Rs.) earned by A?

10,000

11,240

7,400

9,000

Question 249

Arithmetic

Pipes A, B and C can fill an empty tank in (30/7) hours if all the three pipes are opened simultaneously. A and B are filling pipes and C is an emptying pipe. Pipe A can fill the tank in 15 hours and pipe C can empty it in 12 hours. In how long (in hours) can pipe B alone fill the empty tank?

Question 250

Arithmetic

When operated separately, pipe A takes 5 hours less than pipe B to fill a cistern, and when operated together, the cistern gets filled in 6 hours. In how much time (in hours) will pipe A fill the cistern, if operated separately?

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

The students of a class donated a sum of Rs. 2,809 to the Fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is:

A man spends 75% of his income. If his income increases by 28% and his expenditure increases by 20%, then what is the increase or decrease percentage in his savings?

The given pie chart shows the percentage distribution of 450 employees in an organisation. Read the pie chart and answer the question that follows. What is the number of employees working in department F?

The length of the shadow of a vertical pole on the ground in 36 m. If the angle of elevation of the sun at that time is &theta;, such that&nbsp;sec&theta; = (13/12) then what is the height (in m) of the pole?

PA and PB are two tangents from a point P outside the circle with center O at the point A and B on it. If &ang;APB = 130&deg;, then&nbsp;&ang;OAB is equal to:

A sum of Rs. 8,200 was divided among A, B and C in such a way that A had Rs. 500 more than B and C had&nbsp;Rs. 300 more than A. How much C's share (in&nbsp;Rs.)?

The given pie chart shows the percentage distribution of 450 employees in an organisation. Read the pie chart and answer the question that follows. What is the central angle of the sector representing the number of employees in department E?

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 question. 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 70 km/h?

The value of \(2 \frac{1}{3} \div 2 \frac{1}{2} \ of \ 1 \frac{3}{5} + (\frac{3}{8} + \frac{1}{7} \times 1 \frac{3}{4})\) &nbsp;is:

A person covers 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 time taken for the return journey. If he returned at a speed of 10 km/h more than the speed of going. What was the speed (in km/h) for the outward journey?

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and &ang;ADC = 118&deg;. What is the measure of&nbsp;&ang;BAC?

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 question. What percentage of cars were running with the speed of 90 km/hr and above?

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 B alone complete the same work?

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 earlier selling price of the article (in Rs.) is:

If sin3x = cos(3x &ndash; 45&deg;), 0&deg; &lt; 3x &lt; 90&deg;, then x is equal to:

Asha and Suman's mud forts have heights 9 cm and 16 cm. If the fort tops are at 25 cm apart from each other, then the distance (in cm) between two forts is:

The area of a field in the shape of a hexagon is 1944&radic;3 m 2 . What will be the cost (in Rs.) of fencing it at the rate of Rs. 11.50 per metre?

The given bar graph represents the number of boys and girls in five different schools. Read the graph and answer the question that follows. In which school is the percentage of boys more than 55%?

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 paid was:

The value of \(\;\left( {5\frac{1}{{4\;}} \div \;\frac{{3\;}}{7}of\;\frac{1}{2}} \right) \div \left( {5\frac{1}{9} - 7\frac{7}{{8\;}} \div \;9\frac{9}{{20}}} \right) \times \frac{{11}}{{21}} - \left( {5 \div 2\;of\frac{1}{2}} \right)\) is:

A bus covers a 60 kilometre distance in 1 hour 30 minutes, whereas the same distance is covered by a car in 45 minutes. What is the ratio of the speed of the car to the speed of the bus?

A and B started a business investing amounts of Rs. 92,500 and Rs. 1,12,500, respectively. If B's share in the profit earned by them is&nbsp;Rs. 9,000, what is the profit (in&nbsp;Rs.) earned by A?

Pipes A, B and C can fill an empty tank in (30/7) hours if all the three pipes are opened simultaneously. A and B are filling pipes and C is an emptying pipe. Pipe A can fill the tank in 15 hours and pipe C can empty it in 12 hours. In how long (in hours) can pipe B alone fill the empty tank?

When operated separately, pipe A takes 5 hours less than pipe B to fill a cistern, and when operated together, the cistern gets filled in 6 hours. In how much time (in hours) will pipe A fill the cistern, if operated separately?

The length of the shadow of a vertical pole on the ground in 36 m. If the angle of elevation of the sun at that time is θ, such that secθ = (13/12) then what is the height (in m) of the pole?

PA and PB are two tangents from a point P outside the circle with center O at the point A and B on it. If &ang;APB = 130°, then &ang;OAB is equal to:

A sum of Rs. 8,200 was divided among A, B and C in such a way that A had Rs. 500 more than B and C had Rs. 300 more than A. How much C's share (in Rs.)?

The value of \(2 \frac{1}{3} \div 2 \frac{1}{2} \ of \ 1 \frac{3}{5} + (\frac{3}{8} + \frac{1}{7} \times 1 \frac{3}{4})\) is:

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and &ang;ADC = 118°. What is the measure of &ang;BAC?

If sin3x = cos(3x – 45°), 0° < 3x < 90°, then x is equal to:

The area of a field in the shape of a hexagon is 1944√3 m 2 . What will be the cost (in Rs.) of fencing it at the rate of Rs. 11.50 per metre?

A and B started a business investing amounts of Rs. 92,500 and Rs. 1,12,500, respectively. If B's share in the profit earned by them is Rs. 9,000, what is the profit (in Rs.) earned by A?