1.

1). Only I2). Only II3). Neither I nor II4). Both I and II

Answer»

Let us assume (32002 - 1) be a MULTIPLE of 4

⇒ 32002 - 1 = 4q

⇒ 32002 + 1 = 4q + 2 is not DIVISIBLE by 4

⇒ They cannot have a common factor of 4

⇒ Statement I is false

Statement II:

(484 - 1) = (442 + 1) (442 - 1) [? (a2 - B2) = (a + b) (a - b)]

⇒ (442 + 1) (421 - 1) (421 + 1)

⇒ (421 + 1) will be divisible by 5 [? (an + bn) will be divisible by (a + b), when n is odd]

⇒ (484 - 1) will be divisible by 5

⇒ Statement II is true

∴ Only statement 2 is true.



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