CUET UG 2025 — General Test Quantitative Reasoning

Two numbers are in ratio 2:7, so they can be written as:

First number $= 2x$=2x

Second number $= 7x$=7x

where $x$x is a common multiplier.

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Since 2 and 7 are coprime (no common factors), the L.C.M. of $2x$2x and $7x$7x is:

L.C.M. $= 2 \times 7 \times x$=2×7×x

L.C.M. $= 14x$=14x

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Given that L.C.M. $= 182$=182:

$$14x = 182$$14x=182

$$x = \dfrac{182}{14}$$x=14182​

$$x = 13$$x=13

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The two numbers are:

First number $= 2x = 2 \times 13 = 26$=2x=2×13=26

Second number $= 7x = 7 \times 13 = 91$=7x=7×13=91

The greater number is $91$91.

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Therefore, the answer is option 2: $91$91