Quantitative Aptitude Quiz – 72 (Simplification)

Directions (Q.1-5): What should come in place of the questions mark(?) in the following questions?

1. 78921 – 12013 – 156 + 9723 =?
a) 76315
b) 76475
c) 76515
d) 76585
e) None of these

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Answer b) 76475.

2. 3/7 of 5/11 of 4/5 of 10395=?
a) 1560
b) 1575
c) 1620
d) 1590
e) None of these

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Answer c) 1620
Explanation:
? = (3 * 5 * 4 * 10395) / (7 * 11 * 5) = 1650.

3. 126 / 7 / 0.6 =?
a) 3
b) 300
c) 18
d) 30
e) None of these

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Answer d) 30
Explanation:
? = (126/7) / 0.6 = 18 / 0.6 = 30.

4. (3)^7.2 * (9)^2.4 / (27)^5 = (3)^?
a) -3
b) -0.2
c) 9.8
d) 2
e) None of these

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Answer a) -3
Explanation:
? = (3)^7.2 * (3^2)^2.4 / (3^3)^5 = 3^7.2 * 3^4.8 / 3^15
= 3^7.2+4.8-15 = 3^-3.

5. 80% of 135 + ?% of 750 = 228
a) 25
b) 20
c) 16
d) 24
e) None of these

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Answer c) 16
Explanation:
0.8 of 135 + X of 15/2 = 228
=>X of 15/2 = 228 – 108
=>X = 120 * 2 / 15 = 16.

6. 20 * 168 / 4 – 40 = ? + 110
a) 90
b) 80
c) 200
d) 240
e) None of these

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Answer a) 90
Explanation:
20 * 168/14 – 40 = 20 * 12 – 40 = 240 -40 =200
? = 200 – 110 = 90.

7. 4 * 5^2 – 3^2 * 7 + 6^2 = ? +24
a) 8^2
b) 9^2
c) 4^2
d) 7^2
e) None of these

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Answer d) 7^2
Explanation:
? = 4*25 – 9*7 + 36 – 24
=>? = 100 + 36 – 87 = 49 = 7^2.

8. (2222.5 – 1680 * 0.75) * 1.2 =?
a) 1015
b) 1115
c) 1155
d) 1555
e) None of these

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Answer c) 1155
Explanation:
? = (2222.5 – 1260) * 1.2 = 962.5 * 1.2 = 1155.

9. 0.75% of 90 + 0.55% of 80 =?
a) 1.725
b) 1.475
c) 1.325
d) 1.115
e) None of these

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Answer d) 1.115
Explanation:
(0.75*90)/100 + (0.55*80)/100 = 0.675 + 0.44 = 1.115.

10. 2/7 of 5/6 of ? = 200
a) 480
b) 420
c) 840
d) 729
e) None of these

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Answer c) 840
Explanation:
? = 200 * 7/2 * 6/5 = 840.

Directions (Q.11-15): In each of the following number series, a wrong number is given. Find out the wrong number.

11. -6   -5   3   28   94   219   435
a) -5
b) 3
c) 28
d) 94
e) 219

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Answer c) 28
Explanation:
The series is +1^3, +2^3, +3^3, +4^3 …
Hence, 28 is wrong. It should be 30.

12. -1   0   2   21   340   8510
a) 0
b) 2
c) 21
d) 340
e) 8510

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Answer e) 8510
Explanation:
The series is *1^2 + 1, *2^2 + 2, *3^2 + 3, …
Hence, 8510 is wrong. It should be 8505.

13. 24   12   12   18   27   90   270
a) 27
b) 90
c) 18
d) 12
e) 270

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Answer a) 27
The series is *1/2, *1, *3/2, *2, *5/2…
Hence, 27 is wrong. It should be 36.

14. 6   7   13   20   33   53   96
a) 20
b) 33
c) 53
d) 96
e) 13

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Answer d) 96
Explanation:
Here, 1st+2nd = 3rd no, 2nd+3rd = 4th no, 3rd+4th = 5th no …
Hence, 96 is wrong. It should be 33 + 53 = 86.

15. 144   72   48   36   28   24
a) 24
b) 28
c) 36
d) 48
e) 72

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Answer b) 28
Explanation:
The series is *1/2, *2/3, *3/4, *4/5…
Hence, 28 is wrong. It should be 36*4/5 = 28.8.

Best Wishes,
D2G’s Team..