SSC Quantitative Aptitude MCQs

Question : A sum of ₹8,000 amounts to ₹9,680 in 2 years at simple interest. What is the annual rate of interest?

0.1

0.105

0.11

0.12

Correct Answer : 10.5%

Question : If 35% of a number is 84, what is 60% of that number?

132

140

144

150

Correct Answer : 144

Question : The average of five consecutive odd numbers is 37. What is the product of the smallest and largest numbers?

1089

1105

1113

1125

Correct Answer : 1,089

Question : A train 180 metres long crosses a pole in 12 seconds. What is its speed in km/h?

45 km/h

48 km/h

54 km/h

60 km/h

Correct Answer : 54 km/h

Question : The ratio of the incomes of A and B is 5 : 7, while their expenditures are in the ratio 3 : 5. If both save ₹2,000 per month, what is A's income?

₹4,000

₹5,000

₹6,000

₹7,000

Correct Answer : ₹5,000

Question : A shopkeeper marks an article 40% above its cost price and allows a discount of 15%. What is his profit percentage?

0.17

0.19

0.21

0.23

Correct Answer : 19%

Question : The HCF of two numbers is 18 and their LCM is 540. If one of the numbers is 90, what is the other number?

96

108

120

126

Correct Answer : 108

Question : A can complete a piece of work in 15 days and B can complete it in 20 days. If they work together for 4 days, what fraction of the work remains?

46025

46058

46218

46249

Correct Answer : 7/15

Question : A man travels 240 km partly by car at 60 km/h and partly by bus at 40 km/h. If the total time taken is 5 hours, how far does he travel by car?

100 km

120 km

140 km

160 km

Correct Answer : 120 km

Question : The perimeter of a rectangular field is 180 metres. If its length is 10 metres more than its breadth, what is its area?

1,800 m²

2,000 m²

2,025 m²

2,100 m²

Correct Answer : 2,000 m²

Question : A vessel contains milk and water in the ratio 7 : 3. If 20 litres of the mixture is replaced by water, the ratio becomes 7 : 5. What was the original quantity of the mixture?

100 litres

110 litres

120 litres

140 litres

Correct Answer : 120 litres

Question : The radius of a circular park is increased by 20%. By what percentage does its area increase?

0.4

0.42

0.44

0.48

Correct Answer : 44%

Question : A principal of ₹12,000 is invested at 8% per annum compound interest for 2 years, compounded annually. What is the amount?

₹13,996.80

₹13,996.80

₹13,824

₹14,000

Correct Answer : ₹13,996.80

Question : If 12 men can complete a work in 18 days, how many men are required to complete the same work in 12 days, assuming all men work at the same rate?

16

18

20

24

Correct Answer : 18

Question : A number is increased by 25% and then decreased by 20%. What is the net percentage change in the number?

0

5% increase

5% decrease

10% decrease

Correct Answer : 0%

Question : The difference between compound interest and simple interest on ₹10,000 for 2 years at 10% per annum is:

₹90

₹100

₹110

₹120

Correct Answer : ₹100

Question : A boat travels 30 km downstream in 2 hours and the same distance upstream in 3 hours. What is the speed of the boat in still water?

10 km/h

12.5 km/h

15 km/h

17.5 km/h

Correct Answer : 12.5 km/h

Question : The sum of three numbers is 156. The second number is twice the first, and the third is three times the first. What is the largest number?

72

78

84

96

Correct Answer : 78

Question : If the selling price of an article is ₹1,530 after allowing a 15% discount, what was its marked price?

₹1,700

₹1,750

₹1,800

₹1,850

Correct Answer : ₹1,800

Question : A number is divided by 7, and the quotient is 48 with a remainder of 5. What is the number?

331

336

341

346

Correct Answer : 341

Question : The ratio of two numbers is 4 : 9 and their difference is 65. What is the smaller number?

48

52

56

60

Correct Answer : 52

Question : A sum of ₹6,000 is divided among A, B and C in the ratio 2 : 3 : 5. What amount does C receive?

₹2,400

₹3,000

₹3,200

₹3,600

Correct Answer : ₹3,000

Question : If the price of sugar increases by 25%, by what percentage should consumption be reduced to keep expenditure unchanged?

0.15

0.2

0.25

0.3

Correct Answer : 20%

Question : A man purchased an article for ₹2,400 and sold it at a loss of 12.5%. What was the selling price?

₹2,050

₹2,100

₹2,150

₹2,200

Correct Answer : ₹2,100

Question : The average age of 8 students is 16 years. If a teacher joins them, the average becomes 19 years. What is the age of the teacher?

40 years

42 years

43 years

45 years

Correct Answer : 43 years

Question : A pipe can fill a tank in 18 minutes, while another pipe can empty it in 30 minutes. If both are opened simultaneously, in how many minutes will the tank be filled?

36 minutes

40 minutes

45 minutes

50 minutes

Correct Answer : 45 minutes

Question : The length and breadth of a rectangle are 24 cm and 15 cm respectively. What is the length of its diagonal?

27 cm

28 cm

29 cm

30 cm

Correct Answer : 29 cm

Question : What is the least number that must be added to 875 to make it divisible by 13?

8

9

10

11

Correct Answer : 9

Question : A man spends 75% of his income. If his income increases by 20% and his expenditure increases by 10%, his savings increase by ₹1,500. What is his original income?

₹12,000

₹15,000

₹18,000

₹20,000

Correct Answer : ₹15,000

Question : A train running at 72 km/h crosses a bridge 280 metres long in 25 seconds. What is the length of the train?

180 m

200 m

220 m

240 m

Correct Answer : 220 m

Question : The simple interest on a certain sum for 4 years at 7.5% per annum is ₹1,800. What is the principal?

₹5,000

₹5,500

₹6,000

₹6,500

Correct Answer : ₹6,000

Question : A and B invest ₹5,000 and ₹8,000 respectively in a business. After 6 months, A withdraws half of his investment, while B continues for the entire year. If the total profit is ₹5,500, what is B's share?

₹4,000

₹4,200

₹4,400

₹4,600

Correct Answer : ₹4,400

Question : A sum becomes ₹7,200 in 3 years at simple interest and ₹8,000 in 5 years at the same rate. What is the principal?

₹6,000

₹6,200

₹6,400

₹6,600

Correct Answer : ₹6,000

Question : If the selling price of 15 articles is equal to the cost price of 18 articles, what is the profit percentage?

0.15

0.18

0.2

0.25

Correct Answer : 20%

Question : The LCM of 24, 36 and 54 is:

108

216

324

432

Correct Answer : 216

Question : A person walks at 5 km/h and reaches his destination 12 minutes late. If he walks at 6 km/h, he reaches 8 minutes early. What is the distance to his destination?

8 km

9 km

10 km

12 km

Correct Answer : 10 km

Question : If 40% of a number exceeds 25% of the same number by 45, what is the number?

250

300

350

400

Correct Answer : 300

Question : A shopkeeper buys an article for ₹1,250 and marks it 32% above the cost price. If he gives a discount of 10%, what is his profit?

₹125

₹135

₹140

₹150

Correct Answer : ₹150

Question : The average of 12 numbers is 28. If one number 42 is replaced by 30, what will be the new average?

26

27

28

29

Correct Answer : 27

Question : Two numbers are in the ratio 7 : 11. If their HCF is 13, what is their sum?

208

221

234

247

Correct Answer : 234

Question : A can complete a work in 24 days and B can complete it in 36 days. If they work together, how many days will they take to complete the work?

12 days

14 days

14.4 days

15 days

Correct Answer : 14.4 days

Question : A car covers 360 km at a certain speed. If its speed is increased by 15 km/h, it takes 1 hour less to cover the same distance. What is its original speed?

60 km/h

75 km/h

80 km/h

90 km/h

Correct Answer : 60 km/h

Question : A sum of ₹15,000 is invested at 12% simple interest per annum. What will be the amount after 2.5 years?

₹18,750

₹19,000

₹19,500

₹20,000

Correct Answer : ₹19,500

Question : The difference between 65% of a number and 45% of the same number is 84. What is the number?

380

400

420

440

Correct Answer : 420

Question : The perimeter of a square is 88 cm. What is its area?

484 cm²

529 cm²

576 cm²

625 cm²

Correct Answer : 484 cm²

Question : A mixture contains milk and water in the ratio 5 : 2. If 14 litres of water is added to the mixture, the ratio becomes 5 : 4. What was the original quantity of milk?

30 litres

35 litres

40 litres

45 litres

Correct Answer : 35 litres

Question : A man sold an article for ₹2,760 at a profit of 15%. What was the cost price?

₹2,300

₹2,400

₹2,450

₹2,500

Correct Answer : ₹2,400

Question : What is the smallest number that should be multiplied by 180 to make it a perfect square?

3

5

10

15

Correct Answer : 5

Question : A boat's speed in still water is 18 km/h and the speed of the stream is 4 km/h. How much time will it take to travel 44 km downstream?

1 hour 30 minutes

2 hours

2 hours 15 minutes

2 hours 30 minutes

Correct Answer : 2 hours

Question : A sum of money doubles itself in 8 years at simple interest. In how many years will it become three times the original amount at the same rate?

12 years

14 years

16 years

18 years

Correct Answer : 16 years

Question : The cost of 8 pens and 5 notebooks is ₹540, while the cost of 5 pens and 8 notebooks is ₹570. What is the cost of one pen?

₹30

₹35

₹40

₹45

Correct Answer : ₹30

Question : A rectangular field has an area of 1,440 m² and its length is 12 metres more than its breadth. What is its breadth?

30 m

32 m

36 m

40 m

Correct Answer : 30 m

Question : A person deposits ₹4,000 at the beginning of each year for 3 years in an account offering simple interest of 5% per annum. What is the total simple interest earned by the end of the third year?

₹800

₹900

₹1,000

₹1,200

Correct Answer : ₹900

Question : The price of an article is increased by 20% and then decreased by 25%. What is the net percentage change in its price?

5% increase

5% decrease

10% decrease

No change

Correct Answer : 10% decrease

Question : If the sum of two numbers is 84 and their difference is 26, what is the larger number?

50

52

55

58

Correct Answer : 55

Question : A man can row 36 km downstream in 3 hours and the same distance upstream in 4.5 hours. What is the speed of the stream?

2 km/h

3 km/h

4 km/h

5 km/h

Correct Answer : 2 km/h

Question : The cost price of an article is ₹2,400. If it is sold at a profit of 18%, what is its selling price?

₹2,760

₹2,812

₹2,832

₹2,860

Correct Answer : ₹2,832

Question : A sum of ₹9,000 amounts to ₹10,620 in 3 years at simple interest. What is the annual rate of interest?

0.05

0.06

0.07

0.08

Correct Answer : 6%

Question : The average of 7 consecutive integers is 43. What is the largest integer?

46

47

48

49

Correct Answer : 46

Question : A train running at 54 km/h crosses a man standing on a platform in 20 seconds. What is the length of the train?

250 m

270 m

300 m

320 m

Correct Answer : 300 m

Question : If 18 workers complete a work in 20 days, how many workers are needed to complete the same work in 15 days?

20

22

24

26

Correct Answer : 24

Question : The ratio of boys to girls in a class is 5 : 4. If 18 girls join the class, the ratio becomes 5 : 6. How many boys are there initially?

40

45

50

55

Correct Answer : 45

Question : A shopkeeper allows a discount of 20% on the marked price of an article and still gains 12%. If the cost price is ₹1,500, what is the marked price?

₹2,000

₹2,100

₹2,150

₹2,250

Correct Answer : ₹2,100

Question : A cylinder has a diameter of 14 cm and height of 15 cm. Using

600 cm²

660 cm²

700 cm²

720 cm²

Correct Answer : 660 cm²

Question : A person's income is ₹24,000 per month. He spends 65% of his income. What is his monthly saving?

₹7,800

₹8,000

₹8,400

₹8,600

Correct Answer : ₹8,400

Question : A and B can complete a work in 10 days and 15 days respectively. They work together for 3 days. What fraction of the work remains?

46025

46024

46086

46213

Correct Answer : 1/2

Question : The length of a rectangle is 25% more than its breadth. If its perimeter is 180 cm, what is its area?

1,800 cm²

2,000 cm²

2,025 cm²

2,100 cm²

Correct Answer : 2,000 cm²

Question : A sum becomes ₹13,310 in 2 years at 15% compound interest per annum, compounded annually. What is the principal?

₹9,500

₹10,000

₹10,500

₹11,000

Correct Answer : ₹10,000

Question : A batsman scores 72 runs in his 8th innings and his average increases by 3 runs. What was his average after 8 innings?

42 runs

45 runs

48 runs

51 runs

Correct Answer : 48 runs

Question : The HCF of 84 and 126 is:

21

28

42

63

Correct Answer : 42

Question : A person covers a certain distance at 48 km/h in 5 hours. At what speed should he travel to cover the same distance in 4 hours?

54 km/h

60 km/h

64 km/h

72 km/h

Correct Answer : 60 km/h