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The largest term common to the sequences...

The largest term common to the sequences `1, 11 , 21 , 31 , to100` terms and `31 , 36 , 41 , 46 , to100` terms is `381` b. `471` c. `281` d. none of these

A

381

B

471

C

281

D

521

Text Solution

Verified by Experts

The correct Answer is:
D
`100^(th)` term of 1,11,21,31,.. Is 1+(100-1)10=991.
`100^(th)` 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`
or n=50.5
But n is an integer, hence n=50. Hence, the largest common term is `31+(50-1)10=521`
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