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Day 167: SSC CGL Quant

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

  1. Question 1

    Time and Work. Asked once: 27 Jul 2023 S2 (same type asked 4 times) See all 4 of this type

    68
    Benny can do a piece of work in 24 days. Chethan and David can do the same work individually in 36 and 48 days, respectively. All of them begin the work together. However, Benny leaves the work 4 days before the completion of work and Chethan leaves the work 10 days before the completion of the work. David worked till the end and completed the work. Find the number of days in which the work was completed.

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 18 Sep 2024 S3 (same type asked 4 times) See all 4 of this type

    72
    What is the value of 9sin⁡226∘+9sin⁡264∘+3632−7cos⁡232∘−7cos⁡258∘\sqrt{\frac{9\sin^2 26^\circ + 9\sin^2 64^\circ + 36}{32 - 7\cos^2 32^\circ - 7\cos^2 58^\circ}}?

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 13 Sep 2024 S2 (same type asked 4 times) See all 4 of this type

    70
    Simplify 25a2−10ab−48b25a+6b×(5a+8b)\frac{25a^2 - 10ab - 48b^2}{5a + 6b} \times (5a + 8b)

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  4. Question 4

    Circles. Asked once: 24 Jul 2023 S2 (same type asked 4 times) See all 4 of this type

    54
    The length of the common chord of two circles of radii 15 cm and 13 cm, whose centres are 14 cm apart, is:

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  5. Question 5

    Data Interpretation. Asked once: 12 Sep 2024 S1 (same type asked 4 times) See all 4 of this type

    63
    Study the given table and answer the question that follows. The given table shows the production of different types of refrigerators in a company. Types of Refrigerators
    YearsABC
    2011201818001932
    2012204018901800
    2013203519101890
    2014202019401978
    2015199719601900
    In which of the given year(s) was the production of B type refrigerator closest to its average production over the given years?

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