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Day 116: SSC CGL Tier II Quant

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

  1. Question 1

    Ratio, Proportion and Variation. Asked once: 15 Nov 2020 Tier II

    48
    When xx is added to each of 9, 15, 21 and 31, the numbers so obtained are in proportion. What is the mean proportional between the numbers (3x−2)(3x - 2) and (5x+4)(5x + 4)?

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  2. Question 2

    Surds, Indices and Simplification. Asked once: 15 Nov 2020 Tier II

    25
    The expression 15(10+5)10+20+40−5−80\frac{15(\sqrt{10} + \sqrt{5})}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}} is equal to:

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  3. Question 3

    Triangles. Asked once: 3 Feb 2022 Tier II

    3
    In ΔABC\Delta ABC, AB=20AB = 20 cm, BC=7BC = 7 cm and CA=15CA = 15 cm. Side BC is produced to D such that ΔDAB∼ΔDCA\Delta DAB \sim \Delta DCA. DC is equal to:

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  4. Question 4

    Number System. Asked once: 15 Nov 2020 Tier II

    81
    If the 5-digit number 535ab is divisible by 3, 7 and 11, then what is the value of (a2−b2+ab)(a^2 - b^2 + ab)?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: 15 Nov 2020 Tier II

    98
    If (10a3+4b3):(11a3−15b3)=7:5(10a^3 + 4b^3) : (11a^3 - 15b^3) = 7 : 5, then (3a+5b):(9a−2b)=?(3a + 5b) : (9a - 2b) = ?

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