Quantitative Aptitude
| Q.1 Which digits should come in place * and $,respectively, if the number 72864*$ is divisible by both 8 and 5? 1. 4 and 0 2. 2 and 0 3. 2 and 5 4. 4 and 5 |
Correct Answer
1. 4 and 0
![]() 1. 75% 2. 90% 3. 65% 4. 80% |
Correct Answer
4. 80%
| Q.3 In a triangle PQR, S is a point on the side QR such that PS⊥QR, then which of the following options is true? 1. PS2+ PR2= PQ2+ QR2 2. PR2 + QS2= PQ2+ SR2 3. PQ2+ PR2= QS2+ SR2 4. PS2 + QS2= PQ2+ PR2 |
Correct Answer
2. PR2 + QS2= PQ2+ SR2
| Q.4 Simplify 15.5 − [3 − {7 − (5 − (14.5 − 13.5))}]. 1. 15.5 2. 13.5 3. 12.5 4. 14.5 |
Correct Answer
1. 15.5
| Q.5 The incomes of P, Q and R are in the ratio 10 : 12 : 9 and their expenditures are in the ratio 12 : 15 : 8. If Q saves 25% of his income, then what is the ratio of the savings of P, Q and R? 1. 15 : 14 : 21 2. 14 : 15 : 21 3. 21 : 15 : 14 4. 21 : 14 : 15 |
Correct Answer
2. 14 : 15 : 21
| Q.6 The classification of 100 students based on the marks obtained by them in English and Mathematics in an examination is given in the table below. Study the table and answer the question that follows. ![]() 1. 55 2. 65 3. 70 4. 50 |
Correct Answer
2. 65
| Q.7 In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles are congruent by SAS criterion if: 1. BC = DE 2. AC = EF 3. BC = EF 4. AC = DE |
Correct Answer
4. AC = DE
| Q.8 Two pipes, A and B, can fill a tank in 10 minutes and 20 minutes, respectively. The pipe C can empty the tank in 30 minutes. All the three pipes are opened at a time in the beginning. However, pipe C is closed 2 minutes before the tank is filled. In what time, will the tank be full (in minutes)? 1. 12 2. 10 3. 8 4. 6 |
Correct Answer
3. 8
| Q.9 A payment of ₹120 is made with ₹10, ₹5 and ₹2 coins. A total of 25 coins are used. Which of the following is the number of ₹10 coins used in the payment? 1. 6 2. 4 3. 10 4. 8 |
Correct Answer
4. 8
| Q.10 If 28.9 : x :: x : 36.1, and x > 0, then find the value of x. 1. 38.3 2. 32.3 3. 30.4 4. 35 |
Correct Answer
2. 32.3
![]() 1. 698 2. 1048 3. 1074 4. 1047 |
Correct Answer
4. 1047
| Q.12 The height of a cylinder is 20 cm. The lateral surface area is 1760 cm2 . Its volume is: 1. 12032 cm- 2. 12302 cm3 3. 12203 cm3 4. 12320 cm3 |
Correct Answer
4. 12320 cm3
| Q.13 Raj divides ₹1,200 in the ratio 2 : 1 : 3 among three of his friends. The amount equal to the sum of three times the largest share and two times the smallest share is: 1. ₹2,400 2. ₹1,800 3. ₹2,200 4. ₹2,000 |
Correct Answer
3. ₹2,200
| Q.14 A shopkeeper marked an article at ₹5,000. The shopkeeper allows successive discounts of 20%,15% and 10%. The selling price of the article is: 1. ₹2,750 2. ₹3,000 3. ₹2,800 4. ₹3,060 |
Correct Answer
4. ₹3,060
| Q.15 The average of 12 numbers is 48. The average of the first 5 numbers is 45 and the average of next 4 numbers is 52. If the 10th number is 10 less than the 11 th number and is 5 more than the 12th number, then the average of the 11 th and 12th numbers is: 1. 50.5 2. 46.5 3. 47.5 4. 48.5 |
Correct Answer
4. 48.5
Q.16 Find the value of the following expression.![]() 1. sec 0 + tan 0 2. cosec 0 + tan e 3. cosec 0 + cot 0 4. sec 0 + cot e |
Correct Answer
1. sec 0 + tan 0
![]() 1. 2 2. 1 3. 0 4. −1 |
Correct Answer
4. −1
![]() ![]() |
Correct Answer
2. 1
2
| Q.19 M and N walk along a circular track. They start at 5:00 a.m. from the same point in the opposite directions. M and N walk at a speed of 5 rounds per hour and 2 rounds per hour, respectively. How many times will they cross each other before 6.30 a.m. on the same day? 1. 10 2. 3 3. 5 4. 7 |
Correct Answer
1. 10
![]() ![]() |
Correct Answer
No 4 is correct Answer
![]() ![]() |
Correct Answer
No 3 is correct Answer
| Q.22 Study the given table and answer the question that follows. The given table shows the production of different types of refrigerators in a company. ![]() In which of the given year(s) was the production of B type refrigerator closest to its average production over the given years? 1. Both 2012 and 2013 2. Both 2013 and 2015 3. 2014 4. Only 2012 |
Correct Answer
1. Both 2012 and 2013
| Q.23 The measures of the three angles of a triangle are in the ratio 17 : 13 : 15. Find the positive difference between the greatest and the smallest of these three angles. 1. 16° 2. 24° 3. 20° 4. 12° |
Correct Answer
- 16o
| Q.24 If 2cosec20+3cot20 =17, then the value of ‘e’ when 0≤ 0 ≤90° is: 1. 45° 2. 90° 3. 30° 4. 75° |
Correct Answer
3. 30°
| Q.25 A certain sum of money becomes seven times itself when invested at a certain rate of simple interest, in 14 years. How much time (in years, rounded off to 2 decimal places) will it take to become 18 times itself at the same rate? 1. 27.33 2. 39.67 3. 42.78 4. 35.5 |
Correct Answer
2. 39.67











