CAT 2019 Progression Question (Medium)

Question

The number of common terms in the two sequences 15, 19, 23, 27, ...... , 415 and 14, 19, 24, 29, ...... , 464 is

Accepted Answer

Step 1 First sequence is an AP with first term 15 and common difference 4. General term 15 n - 1 4 415 Solving n - 1 4 400 n - 1 100 n 101 So there are 101 terms in the first sequence. Step 2 Second sequence is an AP with first term 14 and common difference 5. General term 14 m - 1 5 464 Solving m -

CAT 2019

Quantitative

Progression

Medium

$The number of common terms in the two sequences: 15, 19, 23, 27, ...... , 415 and 14, 19, 24, 29, ...... , 464 is$

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