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Day 153: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2021 (same type asked 7 times) See all 7 of this type

    17
    How many zeros are there in the product 150×249×348×…×5011^{50}\times 2^{49}\times 3^{48}\times \ldots \times 50^{1} ?

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  2. Question 2

    Polynomials. Asked once: CDS 1 2021 (same type asked 7 times) See all 7 of this type

    25
    4x3+12x2−x−34x^3 + 12x^2 - x - 3 is divisible by

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: CDS 2 2023 (same type asked 7 times) See all 7 of this type

    21
    Consider the following statements : 1. If (a+b)(a + b) is directly proportional to (a−b)(a - b), then (a2+b2)(a^2 + b^2) is directly proportional to ab. 2. If a is directly proportional to b, then (a2−b2)(a^2 - b^2) is directly proportional to ab. Which of the statements given above is/are correct ?

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  4. Question 4

    Number System. Asked once: CDS 2 2024 (same type asked 7 times) See all 7 of this type

    76
    Consider the following statements : I. 61 divides 107100−76100107^{100} - 76^{100} II. 100 divides 675+33567^5 + 33^5 Which of the statements given above is/are correct ?

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  5. Question 5

    Statistics. Asked once: CDS 2 2020 (same type asked 7 times) See all 7 of this type

    91
    Fifteen candidates appeared in an examination. The marks of the candidates who passed in the examination are 9, 6, 7, 8, 8, 9, 6, 5, 4 and 7. What is the median of marks of all the fifteen candidates ?

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