PYQ Vault
EbooksTutor

Day 49: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked 2 times: CDS 1 2021, CDS 1 2025 See all 2 times it was asked

    32
    What is (1+cot⁡α−cosec⁡α)(1+tan⁡α+sec⁡α)(1 + \cot\alpha - \operatorname{cosec}\alpha)(1 + \tan\alpha + \sec\alpha) equal to ?

    Tap an option to check your answer.

  2. Question 2

    Number System. Asked 2 times: CDS 1 2023*, CDS 2 2024 (* = numbers or wording changed that year) See all 2 times it was asked

    91
    What is the HCF of 236−12^{36} - 1 and 245−12^{45} - 1 ?

    Tap an option to check your answer.

  3. Question 3

    Number System. Asked 2 times: CDS 1 2019*, CDS 2 2024 (* = numbers or wording changed that year) See all 2 times it was asked

    2
    The difference of the square of two natural numbers mm and nn (m>n)(m > n) is 72. How many pairs of natural numbers will satisfy ?

    Tap an option to check your answer.

  4. Question 4

    Number System. Asked 2 times: CDS 1 2024*, CDS 2 2024 (* = numbers or wording changed that year) See all 2 times it was asked

    99
    Let S=5a+7b+11c+13dS = 5^a + 7^b + 11^c + 13^d, where aa, bb, cc and dd are natural numbers. What is the number of distinct remainders of SS when it is divided by 10 ?

    Tap an option to check your answer.

  5. Question 5

    Quadratic Equations. Asked 2 times: CDS 1 2019*, CDS 2 2024 (* = numbers or wording changed that year) See all 2 times it was asked

    1
    A real number xx is such that the sum of the number and four times its square is the least. What is that number ?

    Tap an option to check your answer.