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CAT 2019 Question Paper (Slot 2) - QUANT Question 26
Question 26

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

Solution

A: 15, 19, 23, 27, . . . . , 415

B: 14, 19, 24, 29, . . . , 464

Here the first common term = 19

Common difference = LCM of 5, 4=20

19+(n-1)20 $$\le\ $$ 415

(n-1)20 $$\le\ $$ 396

(n-1) $$\le\ $$ 19.8

n=20


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Comments
Ayushi Sharma

3 years, 6 months ago

what is rationale behind taking lcm of the two series

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