Ratio, Proportion
- If 2A = 3B and 4B = 5C, then A : C is ?
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∵ 2A = 3B and 4B = 5C
⇒ 8A = 12B and 12B = 15C
⇒ 8A = 12B = 15C = x
∴ A = x/8, B = x/12, C = x/15Correct Option: C
∵ 2A = 3B and 4B = 5C
⇒ 8A = 12B and 12B = 15C
⇒ 8A = 12B = 15C = x
∴ A = x/8, B = x/12, C = x/15
So, A : C = x/8 : x/15 = 15 : 8
- If 2A = 3B = 4C , then A : B : C is ?
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Let 2A = 3B = 4C = x
Then A = x/2, B = x/3 and C = x/4Correct Option: C
Let 2A = 3B = 4C = x
Then A = x/2, B = x/3 and C = x/4
∴ A : B : C = x/2 : x/3 : x/4
Hence A : B : C = 6 : 4 : 3
- If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, then A : D is equal to ?
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∵ A/D = (A/B) x (B/C) x (C/D)
Correct Option: C
∵ A/D = (A/B) x (B/C) x (C/D) = (2/3) x (4/5) x (6/7) = 16/35
∴ A : D = 16 : 35
- If A = B/3 and B = C/2, then A : B : C is ?
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Let A = x
Then, B = 3x, C = 2B = 6xCorrect Option: A
Let A = x
Then B = 3x, C = 2B = 6x
&there4 A : B : C = x : 3x : 6x = 1 : 3 : 6
- If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is ?
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L.C.M. of 7 and 6 is 42
∴ A : B = 5 : 7 = 30 : 42
and B : C = 6 : 11 = 42 : 77Correct Option: B
L.C.M. of 7 and 6 is 42
∴ A : B = 5 : 7 = 30 : 42
and B : C = 6 : 11 = 42 : 77
Hence A : B : C = 30 : 42 : 77
