Q.

The largest term common to the sequences 1, 11, 21, 31…….. to 100 terms and 31, 36, 41, 46……. to 100 terms is

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a

381

b

471

c

281

d

521

answer is D.

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Detailed Solution

100th  term 1, 11, 21, 31, ….. is 1+ (100 -1) 10 = 991.100th term of 31, 36, 41, 46…. Is 31+ (100-1) 5 = 526.Let the largest common term be 526. Then,526 = 31+(n-1) 10  ⇒n=50.5But n is an integer, hence n=50. Hence , the largest common term is 31+50−110=521
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The largest term common to the sequences 1, 11, 21, 31…….. to 100 terms and 31, 36, 41, 46……. to 100 terms is