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Day 334: SSC CGL Quant

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

  1. Question 1

    Triangles. Asked once: 21 Sep 2025 S1

    75
    In △\triangleABC, a median AD is drawn to side BC. What is the ratio of the area of △\triangleABD to the area of △\triangleACD?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 18 Sep 2025 S3

    72
    If tan⁡A+cot⁡A=4\tan A + \cot A = 4 and tan⁡A⋅cot⁡A=1\tan A \cdot \cot A = 1, find tan⁡2A+sec⁡2A\tan^2 A + \sec^2 A.

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 26 Sep 2024 S3

    58
    If xx2−2x+1=13\frac{x}{x^2 - 2x + 1} = \frac{1}{3}, then the value of x3+1x3x^3 + \frac{1}{x^3} is:

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  4. Question 4

    Averages. Asked once: 13 Sep 2025 S2

    57
    A batsman's average score for a certain number of innings is 44. If he scores 132 runs in the next innings, his average becomes 48. How many innings did he play earlier?

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  5. Question 5

    Circles. Asked once: 25 Sep 2024 S3

    67
    In the figure shown above, quadrilateral PQRS has its vertices on the circumference of the circle with centre O. If m∠QOS=20x∘m\angle QOS = 20x^\circ and m∠QRS=26x∘m\angle QRS = 26x^\circ, then what is the value of ‘x’?

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