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Day 108: SSC CGL Tier II Quant

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

  1. Question 1

    Time and Work. Asked once: 29 Jan 2022 Tier II

    97
    Two pipes A and B can fill a cistern in 121212\frac{1}{2} hours and 25 hours, respectively. The pipes were opened simultaneously, and it was found that, due to leakage in the bottom, it took one hour 40 minutes more to fill the cistern. If the cistern is full, in how much time (in hours) will the leak alone empty 70% of the cistern?

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  2. Question 2

    Triangles. Asked once: 8 Aug 2022 Tier II

    16
    ABC is a right angle triangle and angle ABC = 90 degrees. BD is a perpendicular on the side AC. What is the value of BD2\text{BD}^2?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 15 Nov 2020 Tier II

    47
    If sin⁡3A=cos⁡(A+10∘)\sin 3A = \cos(A + 10^\circ), where 3A is an acute angle, then what is the value of 2 cosec 3A2+6sin⁡23A−32tan⁡23A2\,\text{cosec}\,\frac{3A}{2} + 6\sin^2 3A - \frac{3}{2}\tan^2 3A?

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  4. Question 4

    Circles. Asked once: 29 Jan 2022 Tier II

    59
    ABAB and CDCD are two chords in a circle with centre OO and ADAD is a diameter. ABAB and CDCD produced meet at a point PP outside the circle. If ∠APD=25∘\angle APD = 25^\circ and ∠DAP=39∘\angle DAP = 39^\circ, then the measure of ∠CBD\angle CBD is:

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  5. Question 5

    Data Interpretation. Asked once: 15 Nov 2020 Tier II

    59
    Study the given graph and answer the question that follows. If 20% of the employees working in department E are transferred to department A, then the difference between the number of employees in A and 124% of the employees working in department C is:

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