PYQ Vault
EbooksTutor

Day 377: SSC CGL Quant

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

  1. Question 1

    Time and Work. Asked once: 24 Jul 2023 S2

    58
    A can do a certain piece of work in 1.5 times the number of days in which B and C together can do it. If A and B together can do the said piece of work in 30 days and C alone can do it in 120 days, then how many days will B take to do this piece of work alone?

    Tap an option to check your answer.

  2. Question 2

    Time, Speed and Distance. Asked once: 18 Jul 2023 S3

    71
    In a 1500 m race, X beats Y by 100 m and X beats Z by 240 m. By what distance does Y beat Z in the same race?

    Tap an option to check your answer.

  3. Question 3

    Triangles. Asked once: 12 Sep 2024 S3

    58
    In △ABD\triangle ABD and △FEC\triangle FEC, ∠BAD=60∘\angle BAD = 60^\circ, l(BD)=l(EC)l(BD) = l(EC), ∠ABD=∠FEC=90∘\angle ABD = \angle FEC = 90^\circ, and l(AB)=l(FE)l(AB) = l(FE). Find the ratio of ∠BAD∠FCE\frac{\angle BAD}{\angle FCE}.

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 17 Sep 2024 S2

    67
    Find the value of [4cos⁡(90−θ)sin⁡3(90+θ)−4sin⁡(90+θ)cos⁡3(90−θ)cos⁡(180+8θ2)]\left[\frac{4\cos(90 - \theta)\sin^3(90 + \theta) - 4\sin(90 + \theta)\cos^3(90 - \theta)}{\cos\left(\frac{180 + 8\theta}{2}\right)}\right].

    Tap an option to check your answer.

  5. Question 5

    Algebraic Identities and Simplification. Asked once: 25 Jul 2023 S2

    65
    If p+q+r=pqr=1p+1q+1r=1p + q + r = pqr = \frac{1}{p} + \frac{1}{q} + \frac{1}{r} = 1, then find p3+q3+r3p^3 + q^3 + r^3.

    Tap an option to check your answer.