PYQ Vault
EbooksTutor

Day 58: CDS Maths

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

  1. Question 1

    Number System. Asked 2 times: CDS 1 2019*, CDS 2 2019 (* = numbers or wording changed that year) See all 2 times it was asked

    2
    What is the largest value of nn such that 10n10^n divides the product 25×33×48×53×67×76×812×99×106×1512×2014×2211×25152^5 \times 3^3 \times 4^8 \times 5^3 \times 6^7 \times 7^6 \times 8^{12} \times 9^9 \times 10^6 \times 15^{12} \times 20^{14} \times 22^{11} \times 25^{15} ?

    Tap an option to check your answer.

  2. Question 2

    Number System. Asked 2 times: CDS 2 2016, CDS 2 2019 See all 2 times it was asked

    24
    Consider the following statements in respect of two integers p and q (both >1> 1) which are relatively prime : 1. Both p and q may be prime numbers. 2. Both p and q may be composite numbers. 3. One of p and q may be prime and the other composite. Which of the above statements are correct ?

    Tap an option to check your answer.

  3. Question 3

    Ratio, Proportion and Variation. Asked 2 times: CDS 1 2018*, CDS 2 2019 (* = numbers or wording changed that year) See all 2 times it was asked

    43
    A man who recently died left a sum of Rs. 3,90,000 to be divided among his wife, five sons and four daughters. He directed that each son should receive 3 times as much as each daughter receives and that each daughter should receive twice as much as their mother receives. What was the wife's share ?

    Tap an option to check your answer.

  4. Question 4

    Statistics. Asked 2 times: CDS 1 2017*, CDS 2 2019 (* = numbers or wording changed that year) See all 2 times it was asked

    61
    Consider the following grouped frequency distribution :
    xf
    0 - 108
    10 - 2012
    20 - 3010
    30 - 40p
    40 - 509
    If the mean of the above data is 25.2, then what is the value of p ?

    Tap an option to check your answer.

  5. Question 5

    Surds, Indices and Simplification. Asked 2 times: CDS 1 2017*, CDS 2 2019 (* = numbers or wording changed that year) See all 2 times it was asked

    12
    Which of the following pair of numbers is the solution of the equation 3x+2+3−x=103^{x + 2} + 3^{-x} = 10 ?

    Tap an option to check your answer.