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Day 391: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 24 Jul 2023 S1

    74
    Using the identity tan⁡2α=2tan⁡α1−tan⁡2α\tan 2\alpha = \frac{2\tan\alpha}{1 - \tan^2\alpha}, find the value of tan⁡15∘\tan 15^\circ, correct to three decimal places. [Use 3=1.732\sqrt{3} = 1.732]

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  2. Question 2

    Algebraic Identities and Simplification. Asked once: 21 Jul 2023 S1

    57
    Simplify the given expression. (a−2b)(b−3a)+(a+b)(a−3b)−(b−3a)(4a−5b)(a - 2b) (b - 3a) + (a + b) (a - 3b) - (b - 3a) (4a - 5b)

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  3. Question 3

    Data Interpretation. Asked once: 9 Sep 2024 S1

    56
    The given table shows the percentage of marks obtained by three students in three different subjects in an institute. (maximum marks are given in brackets)
    StudentHistory (175)(175)Geography (200)(200)Botany (125)(125)
    Ram548771
    Mohan517978
    Shyam754976
    If in order to pass the exam, a minimum of 105105 marks are needed in History, how many students pass in the exam?

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  4. Question 4

    Percentage, Profit and Loss. Asked once: 18 Sep 2024 S1

    68
    In a constituency, 45% of the total number of voters are males and the rest are females. If 60% of the males are illiterate and 60% of the females are literate, then by what per cent is the number of illiterate females more than that of literate males? (Rounded off to 2 decimal places)

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  5. Question 5

    Triangles. Asked once: 27 Jul 2023 S2

    66
    ABC is a triangle and D is a point on the side BC. If BC = 16 cm, BD = 11 cm and ∠ADC=∠BAC\angle ADC = \angle BAC, then the length of AC is equal to:

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