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Day 114: SSC CGL Tier II Quant

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

  1. Question 1

    Ratio, Proportion and Variation. Asked once: 29 Jan 2022 Tier II

    71
    If a, b and c are positive numbers such that (a2+b2):(b2+c2):(c2+a2)=34:61:45(a^2 + b^2) : (b^2 + c^2) : (c^2 + a^2) = 34 : 61 : 45, then b−a:c−b:c−a=b - a : c - b : c - a = ______.

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  2. Question 2

    Surds, Indices and Simplification. Asked once: 29 Jan 2022 Tier II

    55
    If 847×385×675×3025=3a×5b×7c×11d847 \times 385 \times 675 \times 3025 = 3^a \times 5^b \times 7^c \times 11^d, then the value of ab−cdab - cd is:

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  3. Question 3

    Time and Work. Asked once: 15 Nov 2020 Tier II

    92
    A can do 20% of a work in 4 days, B can do 3313%33\frac{1}{3}\% of the same work in 10 days. They worked together for 9 days. C completed the remaining work in 6 days. B and C together will complete 75% of the same work in:

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  4. Question 4

    Triangles. Asked once: 3 Feb 2022 Tier II

    68
    In △ABC\triangle ABC, ∠A=50∘\angle A = 50^\circ, BE and CF are perpendiculars on AC and AB at E and F, respectively. BE and CF intersect at H. The bisectors of ∠HBC\angle HBC and ∠HCB\angle HCB intersect at P. ∠BPC\angle BPC is equal to:

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  5. Question 5

    Number System. Asked once: 15 Nov 2020 Tier II

    34
    Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is:

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