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
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
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
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
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
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
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
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
Answer is: D ⇒ 0.2 + 0.2 – 1 x 0.04
⇒ 0.4 - 0.04 = 0.36

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