Aptitude SimplificationPage 2
9. | | Evaluate: 3/5 of 4/7 of 5/9 of 21/24 of 504 = ? | | (a)84 | | (b)85 | | (c)86 | | (d)87 |
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Answer is: A ⇒ 3/5 x 4/7 x 5/9 x 21/24 x 504 = 84
10. | | 3/8 of 168 x 15 ÷ 5 + ? = 549 ÷ 9 +235 | | (a)100 | | (b)50 | | (c)70 | | (d)107 |
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Answer is: DLet, 3/8 x 168 x 15 ÷ 5 + X = 549 ÷ 9 +235
Then, 63 x 15 ÷ 5 + X = 61 + 235
⇒ 63 x 3 + X = 296
⇒ 189 + X = 296
⇒ X = 107
11. | | 3/8 is what part of 1/12 = ? | | (a)9 / 2 | | (b)7 / 2 | | (c)5 / 2 | | (d)3 / 2 |
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Answer is: ALet X of 1/12 = 3/8
Then, X x 1/12 = 3/8
⇒ X = 3/8 x 12
⇒ X = 9/2
12. | | By how much is three fifth of 350 greater than four seventh of 210 ? | | (a)40 | | (b)100 | | (c)132 | | (d)90 |
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Answer is: D Let, 3/5 of 350 - 4/7 of 210
⇒ 3 x 70 – 4 x 30
⇒ 210 – 120 = 90
13. | | If 4/5 of an estate be worth Rs. 16,800 then the value of 3/7 of the estate is : | | (a)2000 | | (b)7000 | | (c)9000 | | (d)8000 |
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Answer is: CLet, the value of the estate be Rs. X
Then, 4/5 of X = 16,800
⇒ X = (16800 x 5)/4 = 2,100
⇒ 3/7 x X = 3/7 x 21000 = 9000
14. | | The simplified value of (1/3 ÷1/3 x 1/3)/(1/3 ÷1/3 of 1/3) -1/9 is : | | (a)0 | | (b)1 | | (c)2 | | (d)10 |
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Answer is: A ⇒(1/3 ÷1/3 x 1/3)/(1/3 ÷ 1/3 x 1/3) - 1/9
⇒(1/3)/(1/3 x 9) - 1/9 = 1/3 x 1/3 - 1/9
⇒ 1/9 - 1/9 = 0
15. | | The value of 0.008 x 0.01 x 0.0072 ÷ (0.12 x 0.0004) is: | | (a)0.11 | | (b)0.12 | | (c)0.13 | | (d)0.14 |
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Answer is: B Given exp. = 0.008 x 0.01 x 0.0072 ÷ 0.000048
⇒ 0.00008 x 0.0072/0.000048 = 8/48 x 72/1000 = 0.012
16. | | 0.2 + 0.2 – 0.2 ÷ 0.2 x (0.2 x 0.2), on simplification, gives: | | (a)0.33 | | (b)0.34 | | (c)0.35 | | (d)0.36 |
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Answer is: D ⇒ 0.2 + 0.2 – 1 x 0.04
⇒ 0.4 - 0.04 = 0.36
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