JEE Main 2026 — Mathematics Algebra
Given below are two statements :
Statement I: 2513+2013+813+313 is divisible by 7.
Statement II: The integral part of (7+43)25 is an odd number.
In the light of the above statements, choose the correct answer from the options given below :
Held on 28 Jan 2026 · Verified 6 Jul 2026.
Statement I is true but Statement II is false
Both Statement I and Statement II are true
Statement I is false but Statement II is true
Both Statement I and Statement II are false
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The number of elements in the set $S = \left\{(r, k) : k \in \mathbb{Z} \text{ and } {}^{36}C_{r+1} = \dfrac{6\left({}^{35}C_r\right)}{(k^2 - 3)}\right\}$, is :
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