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Day 398: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 17 Jul 2023 S4

    64
    In the given figure, if AD⊥BCAD \perp BC, AC=26AC = 26 units , CD=10CD = 10 units, BC=42BC = 42 units, ∠DAC=x\angle DAC = x and ∠B=y\angle B = y, then the value of 6cos⁡x−5cos⁡y+8tan⁡y\frac{6}{\cos x} - \frac{5}{\cos y} + 8\tan y is:

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  2. Question 2

    Data Interpretation. Asked once: 21 Jul 2023 S3

    59
    Study the given table and answer the question that follows. The table gives the number of graduate students enrolled in 4 different colleges A, B, C, and D in a city over the years 2010 to 2014 and also the number of students who passed in the final examination during these years.
    Year2010201020112011201220122013201320142014
    CollegeEnrolledPassEnrolledPassEnrolledPassEnrolledPassEnrolledPass
    A680620600560720700800760750700
    B550530450420600550650620700680
    C480450520500580550620600720700
    D710650750710680640720690740710
    Find the ratio of the average of students enrolled from college D to the average of students who passed from college D over all the years.

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  3. Question 3

    Percentage, Profit and Loss. Asked once: 26 Jul 2023 S1

    73
    R’s weighing machine shows 400 gm when the actual weight is 350 gm. The cost price of almonds is ₹880 per kg and packets of 200 gm are made using the faulty machine. What should be the selling price (in ₹) of each packet to get a profit of 25%25\%?

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  4. Question 4

    Triangles. Asked once: 20 Jul 2023 S2

    59
    Suppose ΔPQR\Delta PQR and ΔSTU\Delta STU are congruent triangles under ASA. If ∠PQR=60∘\angle PQR = 60^\circ, ∠PRQ=30∘\angle PRQ = 30^\circ and ∠STU=60∘\angle STU = 60^\circ, find ∠TSU\angle TSU.

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 14 Jul 2023 S3

    69
    If sec⁡2θ+tan⁡2θ=2518\sec^2 \theta + \tan^2 \theta = \frac{25}{18}, then the value of sec⁡4θ−tan⁡4θ\sec^4 \theta - \tan^4 \theta is:

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