Test-: Quantitative Aptitude
1. Aman, Yogindra and Sweta start from the same place and travel in the same direction at the speed of 40 km, 50 km and 80 km per hour respectively. Yogindra starts two hours after Aman. If Yogindra and Sweta overtake Aman at the same time, how many hours after Aman did Sweta start?
- 4 hrs
- 3 hrs
- 6 hrs
- 5.5 hrs
- 5 hrs
2. The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 10 men, 15 women and 30 children in a factory. Their weekly wages amount to 1050, which is divided in the ratio of work done by the men, women and children. What will be the wages of 12 men, 24 women and 30 children for a week?
- 1485
- 1080
- 1385
- 1085
- 1285
3. At usual rowing rate Bharti can travel 12 km downstream in a certain river in 6 hours less than it takes her to travel the same distance upstream. But when she doubles her usual rowing rate for her 24 km round trip, the 12 km downstream travel takes only a one hour less than the 12 km travel upstream. What is the speed of the current in km per hour?
- 3 ^{2}/_{3} kmph
- 3 ^{1}/_{3} kmph
- 2 ^{2}/_{3} kmph ale
- 4 ^{2}/_{3} kmph
- None of these
4. There are three classes X, Y and Z. The average of class X is 93. The average of class Y is 86. The average of class Z is 95. The average of class X and Y is 89, the average of class Y and Z is 91. Find the average of the three classes.
- 93
- 97
- 86.5
- 91.5
- 90.5
5. A person had to multiply two numbers. Instead of multiplying by 58 he multiplied it by 85, and the product went up by 540. What is the increased product?
- 1575
- 1700
- 1590
- 1675
- 1580
Directions (Q. 6-10): What should come in place of question mark(?) in the following number series?
6. 2 11 38 ? 1174 8227
- 260
- 158
- 257
- 197
- 268
7. 643 768 804 1147 ? 1940
- 1110
- 1111
- 1115
- 1121
- 1211
8. 8 7 12 33 128 ?
- 735
- 635
- 535
- 740
- 640
9. 108 54 ? 202.5 708.75 3189.375
- 81
- 82
- 84
- 88
- 86
10. 8 19 61 249 ? 7513
- 1651
- 1650
- 1251
- 1551
- 1051
Directions (Q. 11-15):
What approximate value will come in place of question mark (?) in the following questions. (You are not expected to calculate the exact value.)
11. [(√730 × 46.003) ÷ 22.987] +? = 4863.10376
- 4810
- 4750
- 4540
- 4500
- 4680
12. (87.987% of 458) + (68.55% of 829) = ?
- 1080
- 1051
- 940
- 925
- 975
13. √1024.995 + (7.9989)^{2} = ? ÷ ^{1}/_{5.9900865}
- 16
- 34
- 44
- 10
- 25
14. 1989.001 +2.00982 × 76.792 = ?
- 1844
- 2144
- 1944
- 1988
- 2944
15. 23.9872 x 8449.8780 ÷ 748.9834 = (?)^{2_}1098.89
- 42
- 37
- 48
- 35
- 31
Directions (Q. 16-20):
Study the following graphs carefully and answer the given questions:
The following bar graph shows the expenditure (in ₹ cr) and the line-graph shows % profit of two companies over the years.
% profit = Income – Expenditure/ Expenditure × 100
16. What is the sum of the incomes of Company in the years 2012, 2013 and 2014?
- 1455 Cr
- 1245 Cr
- 1448 Cr
- 1260 Cr
- 1350 Cr
17. If in the year 2017 the expenditure of Company X increases by 50% from the income of that company in 2014 and the profit is 35%, then what is the income of Company X in that year?
- 807.50 Cr
- 730.5 Cr
- 850.5 Cr
- 840.5 Cr
- 650.5 Cr
18. What is the average income of Company Yin the years 2014, 2015 and 2016 togetha?
- 534 Cr
- 554.5 Cr
- 484 Cr
- 454.5 Cr
- 552. Cr
19. The income of Company X in 2016 is what per cent of the income of Company Y in 2013?
- 146 ^{2}/_{3} %
- 133 ^{1}/_{3} %
- 168 ^{1}/_{3 }%
- 166 ^{1}/_{3 }%
- 123 ^{1}/_{3 }%
20. What is the ratio of the income of Company X in 2013 to the income of Company Y in 2015?
- 91:96
- 96:15
- 15:17
- 16:15
- None of these
Directions (Q. 21-30):
In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option. Give answer
- if x > y
- if x ≥ y
- if x < y
- if x ≤ y
- if x = y or relationship between x and y can’t be established
21. I. x^{2} = 169 II. y^{2} – 26y + 169 = 0
22. I. 2x^{2} – 13x + 20 = 0 II. 2y^{2} – 9y+10=0
23. I. 3x^{2} – 13x + 14 = 0 II. 5y^{2} – 8y + 3 = 0
24. I. 5y^{2} + 19y + 12 = 0 II. 3x^{2} + 13x+14=0
25. I. 2y^{2} – 13y + 20 = 0 II. 2x^{2} +15x+27=0
26. A trader has 400 kg of wheat, part of which he sells at 15% profit and the remaining quantity at 20% loss. On the whole, he incurs an overall loss of 6%. What is the quantity of wheat that he sold at 20% loss?
- 180 kg
- 240 kg
- 160 kg
- 280 kg
- 120 kg
27. In a Jar A, 160 litres of milk was mixed with 30 litres of water. Some of this mixture was taken out from Jar A and put into Jar B. When 18 litres of milk was added to Jar B, the resultant ratio of milk to water in Jar B was 22 :3. What was the amount of mixture taken out fom Jar A? (in litres)
- 60
- 54
- 47
- 57
- 81
28. A bag contains 16 eggs, out of which 7 are rotten. The remaining eggs are in good condition. If two eggs are drawn randomly, then what is the probability that one of the eggs drawn is rotten?
- ^{6}/_{11}
- ^{5/11}
- ^{4}/_{13}
- ^{11}/_{23}
- None of these
29. Pipe A and B can fill a tank in 12 hours and 8 hours respectively. After a certain time, Pipe A was closed. It took a total of 6 hours to fill the tank completely. For how many hours did Pipe A work?
- 2½ hours
- 3½ hours
- 3 hours
- 4 hours
- 4½ hours
30. At present the ratio of the age of A to that of B is 3:4 and that of A to C is 1:2. Four years hence the sum of 1. the ages of A, B and C will be 64 years. What is the present age of A?
- 18 years
- 16 years
- 14 years
- 12 years
- 15 years
Directions (Q. 31-35):
Study the table carefully and answer the given questions.
Data related to candidates appeared and qualified from state X in a competitive exam during 5 years. Note: Some of the data are missing. Find out those data and solve the questions.
Years |
Number of Years appeared |
Percentage of appeared candidates who candidates qualified |
Ratio of the number of qualified male to the number of qualified female candidates |
2012 |
800 |
– |
3 : 2 |
2013 |
– |
– |
5:3 |
2014 |
640 |
55% |
– |
2015 |
– |
56% |
9:5 |
2016 |
900 |
64% |
– |
31. In 2016, if the number of female qualified candidates was 276 then what was the ratio of the number of male qualified candidates to the number of female qualified candidates?
- 25:23
- 23:25
- 21:16
- 25:13
- 15:23
32. The number of appeared candidates increased by 40% from 2012 to 2017. If 25% of the appeared candidates qualified in 2017, then what was the number of candidates who did not qualify in 2017?
- 540
- 680
- 820
- 840
- 640
33. If the average number of qualified candidates in 2012 and 2014 was 248, then what per cent of the appeared candidates qualified in the competitive exam in 2012?
- 28
- 15
- 18
- 25
- 16
34. In 2013, the ratio of the number of appeared candidates to qualified candidates was 4:3. The number of female qualified candidated consititutes what per cent of the number of appeared candidates in that year?
- 18%
- 25%
- 30%
- 22%
- 32%
35. In 2015, if the difference between the number of male qualified candidates and female qualified candidates was 76, what was the number of appeared candidates that year?
- 575
- 675
- 480
- 475
- 625
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