JEE PYQ

[JEE Advanced 1998] the number of divisors of the form 4n 2 n 0 of the integer

VAVidaara Admin Asked 3d ago 0 views 1 answer

The number of divisors of the form $4n+2$ ($n\ge0$) of the integer $240$ is

(a) $4$
(b) $8$
(c) $10$
(d) $3$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 3d ago ▲ 0

Correct answer: (a) $4$

$240=2^4\cdot3\cdot5$; divisors $\equiv2\pmod4$ are $2\times(\text{odd divisor of }15)$: $2,6,10,30$ — four of them.

JEE Advanced 1998 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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