PYQ Vault
EbooksTutor

Day 478: JEE Mains Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Permutations and Combinations. Asked once: 2 Apr 2025

    53
    The number of sequences of ten terms, whose terms are either 0 or 1 or 2 , that contain exactly five 1 s and exactly three 2 s , is equal to

    Tap an option to check your answer.

  2. Question 2

    Probability. Asked once: 28 Jan 2025

    53
    Two number k1k_{1} and k2k_{2} are randomly chosen from the set of natural numbers. Then, the probability that the value of ik1+ik2,(i=−1)i^{k_{1}}+i^{k_{2}},(i =\sqrt{- 1}) is non-zero, equals

    Tap an option to check your answer.

  3. Question 3

    Quadratic Equations. Asked once: 23 Jan 2026 S1

    69
    A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less than mason B alone. Then mason A alone will complete the construction work in:

    Tap an option to check your answer.

  4. Question 4

    Relations and Functions. Asked once: 24 Jan 2025

    146
    Number of functions f:{1,2,…,100}→{0,1}f\mathbf{:\{ 1,2,\ldots,100\} \rightarrow \{ 0,1\}}, that assign 1 to exactly one of the positive integers less than or equal to 98 , is equal to ____\_\_\_\_ .

  5. Question 5

    Sequences and Series. Asked once: 28 Jan 2026 S1

    67
    The common difference of the A.P.: a1,a2,….,ama_{1},a_{2},\ldots.,a_{m} is 13 more than the common difference of the A.P.: b1,b2,…,bnb_{1},b_{2},\ldots,b_{n}. If b31=−277,b43=−385b_{31}= - 277,b_{43}= - 385 and a18=a_{18}= 327 , then a1a_{1} is equal to

    Tap an option to check your answer.