PYQ Vault

Day 151: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2025 (same type asked 9 times) See all 9 of this type

    82
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : The product of a natural number NN and the number MM written by the same digits of NN in the reverse order is 252. What is the number NN? Statement-I : N+M=33N + M = 33 Statement-II : N>MN > M Which one of the following is correct in respect of the above Question and the Statements?

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  2. Question 2

    Polynomials. Asked once: CDS 1 2025 (same type asked 9 times) See all 9 of this type

    83
    What is the HCF of the polynomials x8+x4+1x^8 + x^4 + 1 and x4+x2+1x^4 + x^2 + 1 ?

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  3. Question 3

    Number System. Asked once: CDS 2 2024 (same type asked 8 times) See all 8 of this type

    31
    A 4-digit number NN has exactly 15 distinct divisors. What is the total number of distinct divisors of N2N^2 ?

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  4. Question 4

    Number System. Asked once: CDS 1 2023 (same type asked 8 times) See all 8 of this type

    38
    What is the last digit of the sum S=927+279S = 9^{27} + 27^9 ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 2 2020 (same type asked 8 times) See all 8 of this type

    68
    The two sides of a triangle are 40 cm and 41 cm. If the perimeter of the triangle is 90 cm, what is its area ?

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