Question

1. The greatest number which divides 230, 1314 and 1331
leaving remainder 5 in each case is:
4. A
W
b. 55
d. None of these
Or
017​

Answer 1

Answer:

b) 55

because the greatest number is 55

Answer 2

None of these.

No number divided all these three and leaves 5 as the remainder.

Given,

Numbers 230,1314 and 1331.

To find,

Greatest number dividing all these numbers and leaving 5 as the remainder.

Solution,

First, we have to subtract the remainder from all these numbers and then write their prime factors.

230-5=225

1314-5=1309

1331-5=1326

The prime factors of the numbers are,

225=3×3×5×5

1309=7×11×17

1326=2×3×13×17.

No number is common among them all. So no number divides all and gives 5 as the remainder.

#SPJ2