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NCHMCT JEE 2025 Solved Paper

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Question : 5 of 200

Marks: +1, -0

If

A: B=2: 3, A: C=6: 7, C: D=14: 15

A: B: C: D

6 : 9 : 7 : 15
12 : 18 : 14 : 30
12 : 18 : 14 : 15
8 : 12 : 14 : 15

Solution:

Concept:

Make the common term (

A

and

C

) equal in the given ratios to combine them.

Explanation:

Given:

A:B = 2:3

and

A:C = 6:7

.

Make

A

equal:

A:B = 2:3 = 6:9

.

So,

A:B:C = 6:9:7

.

Given

C:D = 14:15

. Make

C

equal: multiply

A:B:C

by 2.

A:B:C = 12:18:14

.

Now

C:D = 14:15

, so

A:B:C:D = 12:18:14:15

.

Answer:

12 : 18 : 14 : 15

This matches option C.

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