Given ratios are a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4. Find a : b : c. Option 1: 2 : 3 : 6 Option 2: 4 : 5 : 6 Option 3: 10 : 15 : 6 Option 4: 1 : 5 : 7

Answer: 10 : 15 : 6. Solution: From a:b = 2:3 If a = 2k, then b = 3k (where k is some number) From b:c = 5:2 If b = 5m, then c = 2m (where m is some number) Since b = 3k and b = 5m 3k = 5m m = 3k/5 Therefore: a = 2k b = 3k c = 2m = 2 x 3k/5 = 6k/5 Let k = 5 to eliminate fractions: a = 10 b = 15 c = 6 Therefore a:b:c = 10:15:6

Arithmetic

Ratio, Proportion & Variation

Easy

Given ratios are $a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4$ . Find $a : b : c$ .

$2 : 3 : 6$

$4 : 5 : 6$

$10 : 15 : 6$

$1 : 5 : 7$

✅ Correct Option: 3

From $a:b = 2:3$

If $a = 2k$ , then $b = 3k$ (where $k$ is some number)

From $b:c = 5:2$

If $b = 5m$ , then $c = 2m$ (where $m$ is some number)

Since $b = 3k$ and $b = 5m$

$3k = 5m$

$m = \frac{3k}{5}$

Therefore:

$a = 2k$

$b = 3k$

$c = 2m = 2 \times \frac{3k}{5} = \frac{6k}{5}$

Let $k = 5$ to eliminate fractions:

$a = 10$

$b = 15$

$c = 6$

Therefore $a:b:c = 10:15:6$

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Given ratios are a:b=2:3,b:c=5:2,c:d=1:4a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4a:b=2:3,b:c=5:2,c:d=1:4. Find a:b:ca : b : ca:b:c.

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IPMAT Rohtak Past Year Questions (Topic-Wise)

Given ratios are $a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4$ . Find $a : b : c$ .