Question

99^13+1 is divisible by which number 5,4,12,25​

Answer 1

99¹³ + 1 is divisible by 5, 4 and also 25. but it is not divisible by 12.

99¹³ + 1 is divisible by which number

(a) 5. (b) 4 (c) 12. (d) 25.

if 99 is divided by 5 , remainder will be either 4 or -1.

so, (99¹³ + 1)/5 ⇒ remainder = (-1)¹³ + 1 = -1 + 1 = 0

hence, 99¹³ + 1 is divisible by 5.

again, 99 is divided by 4, remainder will be either 3 or -1

so, (99¹³ + 1)/5 ⇒remainder = (-1)¹³ + 1 = 0

hence, 99¹³ + 1 is divisible by 4.

now 99 is divided by 12, remainder will be 3 or -9

so, (99¹³ + 1)/5 ⇒remainder ≠ 0

hence, 99¹³ + 1 is not divisible by 12.

99 is divided by 25, remainder will be either 24 or -1.

so, (99¹³ + 1)/25 ⇒remainder = (-1)¹³ + 1 = 0

hence, 99¹³ + 1 is divisible by 25 .

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