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Day 53: SSC CGL Tier II Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 3 Feb 2022 Tier II (same type asked 2 times) See all 2 of this type

    99
    The expression (1−2sin⁡2θcos⁡2θ)(cot⁡θ+1)cos⁡θ(sin⁡4θ+cos⁡4θ)(1+tan⁡θ)cosec⁡θ−1\frac{(1 - 2\sin^2\theta\cos^2\theta)(\cot\theta + 1)\cos\theta}{(\sin^4\theta + \cos^4\theta)(1 + \tan\theta)\operatorname{cosec}\theta} - 1, 0∘<θ<90∘0^\circ < \theta < 90^\circ, equals:

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  2. Question 2

    Data Interpretation. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type

    58
    Study the given pie charts and answer the question that follows. The number of students who passed the examination from institute C is what percentage of the total number of students who appeared from institutes D and E?

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: 15 Nov 2020 Tier II (same type asked 2 times) See all 2 of this type

    66
    The monthly incomes of A and B are in the ratio 3:53 : 5 and the ratio of their savings is 2:32 : 3. If the income of B is equal to three times the savings of A, then what is the ratio of the expenditures of A and B?

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  4. Question 4

    Surds, Indices and Simplification. Asked once: 15 Nov 2020 Tier II (same type asked 2 times) See all 2 of this type

    78
    The value of 0.0203×2.920.7×0.0365×2.9÷(12.12)2−(8.12)2(0.25)2+(0.25)(19.99)\frac{0.0203 \times 2.92}{0.7 \times 0.0365 \times 2.9} \div \frac{(12.12)^2 - (8.12)^2}{(0.25)^2 + (0.25)(19.99)} is:

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  5. Question 5

    Surds, Indices and Simplification. Asked once: 15 Nov 2020 Tier II (same type asked 2 times) See all 2 of this type

    60
    If 14−8+3+223−22−3−223+22=a+b2\frac{1}{4 - \sqrt{8}} + \frac{3 + 2\sqrt{2}}{3 - 2\sqrt{2}} - \frac{3 - 2\sqrt{2}}{3 + 2\sqrt{2}} = a + b\sqrt{2}, then what is the value of (3a+4b)(3a + 4b)?

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