Ratio, Proportion
- Two whole numbers whose sum is 64, cannot be in the ratio ?
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For dividing 64 into two whole number, the sum of the terms of the ratio must be factor of 64.
Correct Option: C
For dividing 64 into two whole number, the sum of the terms of the ratio must be factor of 64, so they cannot be in the ratio 3 : 4.
- The weight of a 13 m long iron rod is 23.4 kg. The weight of 6 m long of such rod wiil be ?
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Less length, less weigth
From question, 13 : 6 : : 23.4 : W
⇒ 13 x W = 6 x 23.4Correct Option: C
Less length, less weigth
From question, 13 : 6 : : 23.4 : W
⇒ 13 x W = 6 x 23.4
∴ W = (6 x 23.4) /13 = 10.8 kg
- The third propotional to 0.8 and 0.2 is ?
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Let 0.8 : 0.2 : : 0.2 : N
Then 0.8 x N = 0.2 x 0.2Correct Option: C
Let 0.8 : 0.2 : : 0.2 : N
Then 0.8 x N = 0.2 x 0.2
∴ N = ( 0.2 x 0.2) / 0.8 = 0.04 / 0.08 = 4/80 = 0.05
- The mean proportional between 0.32 and 0.02 is ?
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Mean proportional = √0.32 x 0.02
Correct Option: D
Mean proportional = √0.32 x 0.02
= √0.0064 = 0.08
- The fourth proportional to 0.2, 0.12 and 0.3 is ?
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Let 0.2 : 0.12 : : 0.3 : N
∵ 0.2 x N = 0.12 x 0.3Correct Option: C
Let 0.2 : 0.12 : : 0.3 : N
∵ 0.2 x N = 0.12 x 0.3
∴ N = (0.12 x 0.3) / 0.2 = 0.18
