CAT 2021 Progression Question (Hard)

Question

Three positive integers , , and are in arithmetic progression. If and , then equals

Optima Learn · Accepted Answer

Step 1 Let the A.P. be with . Given x x d x 2d 5 bigl 3x 3d bigr 15 x d . Set the middle term . Then and . t-d ,t , t d 15t Longrightarrow t t 2-d 2 15t Longrightarrow t 2-d 2 15. Step 2 Factor . Positive factor pairs of 15 and . - For valid, . - For invalid, . Thus . Step 3 . Final Answer 14

CAT 2021 Progression — Previous Year Question

CAT 2021

Quantitative

Progression

Hard

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