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Day 54: SSC CGL Tier II Quant

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

  1. Question 1

    Time and Work. Asked once: 15 Nov 2020 Tier II (same type asked 2 times) See all 2 of this type

    100
    Three men and 4 women can do a piece of work in 7 days, whereas 2 men and 1 woman can do it in 14 days. Seven women will complete the same work in:

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  2. Question 2

    Triangles. Asked once: 15 Nov 2020 Tier II (same type asked 2 times) See all 2 of this type

    15
    In Δ\DeltaPQR, ∠Q=84∘\angle Q = 84^\circ, ∠R=48∘\angle R = 48^\circ, PS ⊥\perp QR at S and the bisector of ∠P\angle P meets QR at T. What is the measure of ∠SPT\angle SPT?

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 8 Aug 2022 Tier II (same type asked 6 times) See all 6 of this type

    34
    If (x+1x)2=3\left(x + \frac{1}{x}\right)^2 = 3, then what is the value of x6+x−6x^6 + x^{-6}?

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  4. Question 4

    Simple and Compound Interest. Asked once: 6 Mar 2023 Tier II (same type asked 6 times) See all 6 of this type

    29
    Find the amount (integral value only) if a sum of ₹6,500 is being borrowed at 10% interest per annum for 2 years if interest is compounded half-yearly.

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 8 Aug 2022 Tier II (same type asked 6 times) See all 6 of this type

    43
    What is the value of cos⁡50∘sin⁡40∘+3 cosec 80∘sec⁡10∘−2cos⁡50∘.cosec 40∘\frac{\cos 50^\circ}{\sin 40^\circ} + \frac{3\,\text{cosec}\,80^\circ}{\sec 10^\circ} - 2\cos 50^\circ . \text{cosec}\,40^\circ ?

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