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 â€“ 4 x 30
⇒ 210 â€“ 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
â‡’ X = (16800 x 5)/4 = 2,100
â‡’ 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 â€“ 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 â€“ 1 x 0.04
⇒ 0.4 - 0.04 = 0.36