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Day 36: SSC CGL Tier II Quant

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

  1. Question 1

    Heights and Distances. Asked once: 6 Mar 2023 Tier II (same type asked 3 times) See all 3 of this type

    25
    From the top of an upright pole 24324\sqrt{3} feet high, the angle of elevation of the top of an upright tower was 60∘60^\circ. If the foot of the pole was 60 feet away from the foot of the tower, what tall (in feet) was the tower?

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  2. Question 2

    Mensuration 3D. Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    12
    The slant height and radius of a right circular cone are in the ratio 29 : 20. If its volume is 4838.4π cm34838.4\pi\ \text{cm}^3, then its radius is:

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  3. Question 3

    Mensuration 3D. Asked once: 3 Mar 2023 Tier II (same type asked 3 times) See all 3 of this type

    20
    A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?

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  4. Question 4

    Number System. Asked once: 3 Feb 2022 Tier II (same type asked 3 times) See all 3 of this type

    90
    If a nine-digit number 789x6378y789x6378y is divisible by 72, then the value of xyxy is:

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  5. Question 5

    Surds, Indices and Simplification. Asked once: 8 Aug 2022 Tier II (same type asked 3 times) See all 3 of this type

    41
    What is the value of 29.161.1664+0.2916116.64+0.00360.36\frac{\sqrt{29.16}}{\sqrt{1.1664}} + \frac{\sqrt{0.2916}}{\sqrt{116.64}} + \frac{\sqrt{0.0036}}{\sqrt{0.36}}?

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