PYQ Vault
EbooksTutor

Day 78: CDS Maths

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

  1. Question 1

    Ratio, Proportion and Variation. This type asked 2 times: CDS 1 2017, CDS 2 2021. This one: CDS 2 2021 See all 2 of this type

    26
    If three positive numbers are in the ratio 2:3:52:3:5 and the sum of their squares is 1368, then what is sum of the numbers ?

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Ratios and Identities. This type asked 2 times: CDS 1 2021, CDS 2 2021. This one: CDS 2 2021 See all 2 of this type

    60
    In a triangle ABCABC, right-angled at BB, AB+BC=10(1+3)AB + BC = 10(1+\sqrt{3}) cm and length of the hypotenuse is 20 cm. What is the value of tan⁡A+tan⁡C\tan A + \tan C ?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Ratios and Identities. This type asked 2 times: CDS 1 2017, CDS 2 2021. This one: CDS 2 2021 See all 2 of this type

    47
    If 14sin⁡2θ+10cos⁡2θ=1114\sin^2\theta+10\cos^2\theta=11 where 0∘<θ<90∘0^\circ<\theta<90^\circ, then what is the value of tan⁡θ+cot⁡θ\tan\theta+\cot\theta ?

    Tap an option to check your answer.

  4. Question 4

    Polynomials. This type asked 2 times: CDS 2 2017, CDS 1 2021. This one: CDS 1 2021 See all 2 of this type

    19
    If x(x−1)(x−2)(x−3)+1=k2x(x - 1)(x - 2)(x - 3) + 1 = k^2, then which one of the following is a possible expression for kk?

    Tap an option to check your answer.

  5. Question 5

    Quadratic Equations. This type asked 2 times: CDS 1 2019, CDS 1 2021. This one: CDS 1 2021 See all 2 of this type

    43
    The sum of the reciprocals of two alternate natural numbers is 724\frac{7}{24}. What is the sum of the numbers?

    Tap an option to check your answer.