If 96 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is : a) 16 b)14 c)20 d) 18 Expl : Given ratio = 5 : 7 : 4 : 8 , sum of ratio = 24 :. The smallest part = (96 *4/24) = 16
It takes 10 days for digging a trench of 100 m long, 50 m broad and 10 m deep. What length of trench, 25 m broad and 15 m deep can be dug in 30 days ? a) 400 m b) 200 m c) 100 m d) 89m Expl : More days, more length (Direct) Less breadth, more length (Indirect) More depth, less length (Indirect Days 10 : 30; Breadth 25 : 50; : : 100 : x Depth 15 : 10; :. 10 * 25* 15 * x = 30 *50 * 10 *100 x= (30*50*10*100)/10*25*15 = 400 So the required length = 400m
If A : B = 4 : 7 and B : C = 5 : 9 then A : B : C is : a) 20 : 35 : 63 b) 35 : 36 : 63 c) 30 : 35 : 65 d)25 :34: 68 . Expl : A : B = 4 : 7 B : C = 5 :9 = 5*7/5 : 9 *7/5 = 7 : 63/5 A : B : C = 4 : 7 : 63/5 = 20 : 35 : 63
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