Test-: Quantitative Aptitude
Directions (Q. 1-5): What approximate value will come in place of question mark in the following questions?
1. ?^{2} – 137.99 +6=21.99 x 23.01
- 23
- 50
- 42
- 29
- 35
2. ?% of 400.02 +12.93^{2}=285
- 18
- 15
- 24
- 34
- 29
3. (3327.99-27.93) +? = 110 x 5.99
- 9
- 1
- 19
- 15
- 5
4. 5520 – 12.01+ 226 5.99=?
- 350
- 550
- 500
- 450
- 250
5. 160.01 +40 = (16.5 +33) = ?
- 310
- 290
- 250
- 350
- 240
Directions (Q. 6-19): Refer to the graph and answer the given questions.
Number of students who opted for 2 courses A and B from 2010 to 2014
2010 | 2011 | 2012 | 2013 | 2014 | |
A | 140 | 200 | 380 | 360 | 420 |
B | 180 | 260 | 300 | 500 | 300 |
6. The number of students who opted for Course B in 2013 was what per cent more than that who opted for course A in 2013?
- 45 1⁄6
- 42 4⁄9
- 38 8⁄9
- 56 7⁄9
- 62 1⁄9
7. What is the difference between the total number of students who opted for Courses A and B together in 2012 and that who opted for both the courses together in 2014?
- 50
- 30
- 60
- 40
- None of these
8. In 2014, if ‘X’ students passed Courses A and B each and the ratio of the number of students who failed in Courses A and B respectively was 5: 2, what is the value of ‘X’?
- 190
- 220
- 160
- 150
- 180
9. What is the average number of students who opted for Course A in 2010, 2011 and 2012?
- 225
- 250
- 230
- 240
- 260
10. The number of students who opted for Courses A and B in 2011 was respectively 25% more and 35% less than that in 2009. What was the total number of students who opted for Courses A and B together in 2009?
- 600
- 540
- 575
- 560
- 650
11. The ratio of the numerical values of curved surface area to the volume of the right circular cylinder is 1 : 7. If the ratio of the diameter to the height of the cylinder is 7:5, then what is the total surface area of the cylinder? (in mº)
- 2992
- 3172
- 2882
- 3576
- 3992
12. The time taken by a boat to cover a distance of ‘D-56’ km upstream is half of that taken by it to cover a distance of ‘D’ km downstream. The ratio of the speed of the boat downstream to that upstream is 5:3. If the time taken to cover ‘D-32 km upstream is 4 hours, what is the speed of water current? (in km/)
- 5
- 3
- 4
- 16
- 8
13. Poona invests 4200 in Scheme A, which offers 12% pa simple interest. She also invests (4200 – P) in scheme B offering 10% pa compound interest (compounded annually). The difference between the interests Poona earned from both the schemes at the end of 2 years is 294. What is the value of P?
- 1500
- 800
- 600
- 1000
- Other than those given as options
14. A man sold two articles -A (at a profit of 40%) and B (at a loss of 20%). He earned a total profit of 8 in the whole deal. If article A costs 140 less than article B, what is the price of article B?
- 380
- 280
- 340
- 375
- 300
15. B is eighteen years younger than A. The ratio of B’s age six years hence to C’s present age is 3:2. If at present A’s age is twice the age of C, then what was B’s age four years ago?
- 24 years
- 28 years
- 26 years
- 20 years
- 16 years
16. The time taken by A alone to finish a piece of work is 60% more than that taken by A and B together to finish the same piece of work. C is twice as efficient as B. IFB and C together can complete the same piece of work in days, in how many days can A alone finish the same piece of work?
- 32
- 24
- 16
- 28
- Other than those given as options
17. Out of her monthly salary, Ridhi spends 34% on various expenses. From the remaining, she gives 1/6^{th} 2/3 to her brother, to her sister and the remaining she keeps as savings. If the difference between the amounts she gave to her sister and brother was 10,560, what was Ridhi’s savings?
- 3,740
- 3,420
- 4,230
- 3,230
- 5) Other than those given as options
18. A bag contains 63 cards (numbered 1,2,3…. 63). Two cards are picked at random from the bag (one after another and without replacement). What is the probability that the sum of the number of both the cards drawn is even?
- 11/21
- 34/63
- 7/11
- 11/64
- Other than those given as options
19. A, B and C started a business and invested in the ratio of3:4:5. After 4 months A withdrew of the amount of wh B and C had invested. If the annual income was 9200 then what was the share of B?
- 4200
- 3800
- 3600
- 2800
- Other than the given options
Directions (Q.20-24): In each question, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer.
20. I. 3x^{2}-4x+1=0 II. 15y^{2}-8y +1=0
- X > y
- x ≤ y
- x = y or relation can’t be established
- x ≥ y
- x < y
21. I.X^{2}+14x+45=0 II. y^{2} +19y+88 = 0
- x > y
- x < y
- x ≤ y
- x = y or relation can’t be established
- x > y
22. I.x^{2}-2x-8=0 II. y ^{2}+ 15y +54 = 0
- x=y or relation can’t be established
- x ≤ y
- x > y
- x ≥ y
- x < y
23. I. 2x^{2}_9x+9=0 II. Y^{2}-7y + 12 = 0
- x < y
- x ≤ y
- x > y
- x = y or relation can’t be established
- x ≥ y
24. I. x^{2} = 121 II. y^{2}-23y + 132 = 0
- x > y
- x ≥ y
- x < y
- x ≤ y
- x = y or relation can’t be established
25. Ajar contains a mixture of milk and water in the ratio of 1 3:1. Now, of the mixture is taken out and 24 litres 25 water is added to it. If the resultant ratio of milk to water in the jar was 2:1, what was the initial quantity of mixture in the jar? (in litres)
- 60
- 180
- 200
- 250
- Other than the given options
Directions (Q. 26-30): What will come in place of question mark (?) in the given number series?
26. 17 9 10 16.5 ? 90
- 44
- 35
- 48
- 38
- 33
27. 7 6 10 27 ? 315
- 112
- 104
- 114
- 96
- 108
28. 33 40 29 42 25 ?
- 40
- )44
- 52
- 48
- 46
29. 316 307 282 233 152 ?
- 35
- 25
- 31
- 41
- 47
30. 5 9 33 72 121 ?
- 169
- 163
- 171
- 184
- Other than those given as options
Directions (Q. 31-35): Study the table and answer the given questions.
Data regarding the number of voters at 5 different centres A, B, C, D,
centres |
Total registered number of registered voters |
Percentage of people of the Who voted (out of the total number of registered voters) |
A |
2100 |
80 |
B |
1700 |
80 |
C |
3000 |
70 |
D |
2400 |
76 |
E |
2000 |
85 |
31. What is the average number of people who voted at centres B, D and E?
- 1700
- 1628
- 1720
- 1740
- 1560
32. What per cent of the total number of registered voters cast invalid votes at Centre D, if the number of invalid votes cast at Centre D was 10% of the number of votes cast?
- 5.5
- 8.5
- 7.6
- 6.5
- Other than those given as options
33. At Centre F, the total number of registered voters was 25% less than that at Centre C. At Centre F, the number of people who voted was 450 less than that at Centre C and 150 votes cast were declared invalid. What was the ratio of the number of valid votes cast to the total number of registered voters at centre F?
- 4:5
- 3:4
- 2:3
- 6:1
- 5:8
34. The number of people who did not vote at Centre D was what per cent more than that who did not vote at Centre A?
- 42 6⁄7
- 35 2⁄3
- 37 1⁄7
- 43 5⁄8
- Other than those given as options
35. What is the difference between the total number of people who did not vote at Centres A and B together and that who did not vote at Centres D and E together?
- 80
- 60
- 50
- 70
- 116
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