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Day 90: SSC CGL Tier II Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 7 Mar 2023 Tier II

    15
    If acot⁡θ+b cosec θ=pa \cot\theta + b\,\text{cosec}\,\theta = p and bcot⁡θ+a cosec θ=qb \cot\theta + a\,\text{cosec}\,\theta = q then p2−q2p^2 - q^2 is equal to ____.

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  2. Question 2

    Algebraic Identities and Simplification. Asked once: 8 Aug 2022 Tier II

    35
    What is the simplified value of (x+y+z)(xy+yz+zx)−xyz(x+y)(y+z)(z+x)\frac{(x + y + z)(xy + yz + zx) - xyz}{(x + y)(y + z)(z + x)} ?

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  3. Question 3

    Averages. Asked once: 2 Mar 2023 Tier II

    21
    Find the average of the cubes of the first five natural numbers.

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  4. Question 4

    Circles. Asked once: 3 Mar 2023 Tier II

    12
    ABCD is a cyclic quadrilateral and BC is a diameter of the related circle on which A and D also lie. ∠BCA=19∘\angle BCA = 19^\circ and ∠CAD=32∘\angle CAD = 32^\circ. What is the measure of ∠ACD\angle ACD?

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  5. Question 5

    Data Interpretation. Asked once: 8 Aug 2022 Tier II

    26
    The pie chart given below shows the number of tyres of 6 companies. Number of tyres of a particular company are shown as a percentage of total number of tyres of these 6 companies. What is the sum of central angles formed by the sectors representing tyres of company F and A?

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