Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Binomial Theorem question

2023 · 6 Apr · Shift 2 · Q29
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Binomial Theorem
  5. /2023 · 6 Apr · Shift 2 · Q29

Binomial Theorem question

2023 · 6 Apr · Shift 2 · Q29

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
Among the statements : (S1) : 20232022−199920222023^{2022}-1999^{2022}20232022−19992022 is divisible by 8 (S2) : 13(13)n−12n−1313(13)^{n}-12 n-1313(13)n−12n−13 is divisible by 144 for infinitely many n∈Nn \in \mathbb{N}n∈N
  1. A
    both (S1) and (S2) are incorrect
  2. B
    only (S1) is correct
  3. C
    only (S2) is correct
  4. D
    both (S1) and (S2) are correct
PreviousNext

More from Binomial Theorem

  • Let [t] denote the greatest integer ≤t. If the constant term in the expansion of (3x2−2x51​)7 is α, then [α] is equal to ​.2023 · Numerical
  • The largest natural number n such that 3n divides 66! is ​.2023 · Numerical
  • 25190−19190−8190+2190 is divisible by :2023 · MCQ
  • The absolute difference of the coefficients of x10 and x7 in the expansion of (2x2+2x1​)11 is equal to :2023 · MCQ
  • If the coefficient of x7 in (ax−bx21​)13 and the coefficient of x−5 in (ax+bx21​)13 are equal, then a4b4 is equal to :2023 · MCQ
  • The coefficient of x7 in (1−x+2x3)10 is ​.2023 · Numerical
  • Let the number (22)2022+(2022)22 leave the remainder α when divided by 3 and β when divided by 7. Then (α2+β2) is equal to :2023 · MCQ
  • If the coefficients of x and x2 in (1+x)p(1−x)q are 4 and − 5 respectively, then 2p+3q is equal to :2023 · MCQ