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Day 187: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 1 2019 (same type asked 8 times) See all 8 of this type

    57
    The sides of a triangle are 30 cm, 28 cm and 16 cm respectively. In order to determine its area, the logarithm of which of the quantities are required ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2021 (same type asked 8 times) See all 8 of this type

    57
    If for some θ\theta lying between 0∘0^\circ and 90∘90^\circ, tan⁡θ=1\tan\theta=1, then what is the value of sin⁡2θ−2sin⁡θcos⁡θ\sin^2\theta-2\sin\theta\cos\theta ?

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  3. Question 3

    Number System. Asked once: CDS 2 2024 (same type asked 8 times) See all 8 of this type

    26
    What is the value of x (0≤x≤8)x\,(0 \le x \le 8) if (10097+10054+x+1)(100^{97} + 100^{54} + x + 1) leaves a remainder 0 when divided by 9 ?

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  4. Question 4

    Averages. Asked once: CDS 2 2019 (same type asked 7 times) See all 7 of this type

    25
    In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class ?

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  5. Question 5

    Polynomials. Asked once: CDS 1 2017 (same type asked 7 times) See all 7 of this type

    42
    The HCF of two expressions pp and qq is 1. What is the reciprocal of their LCM ?

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