PYQ Vault
EbooksTutor

Linear Equations

CDS Maths. Try each one first, then open its answer.

Top 10 CDS PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 3 times: CDS 1 2017, CDS 2 2021, CDS 1 2026. This one: CDS 1 2026 See all 3 of this type

    10
    For what integral value of k, the system of equations kx−5y+6=0kx - 5y + 6 = 0 and 4(k−1)y−12x+3=04(k - 1)y - 12x + 3 = 0 has no solution ?

    Tap an option to check your answer.

  2. Question 2

    This type asked 3 times: CDS 2 2017, CDS 1 2019, CDS 2 2021. This one: CDS 2 2021 See all 3 of this type

    34
    The present age of a father is equal to sum of the ages of his 4 children. After ten years the sum of the ages of the children will be 1.6 times the age of their father. What is the present age of father ?

    Tap an option to check your answer.

  3. Question 3

    This type asked 3 times: CDS 1 2017, CDS 1 2019, CDS 1 2020. This one: CDS 1 2020 See all 3 of this type

    42
    How many integral values of xx and yy satisfy the equation 5x+9y=75x + 9y = 7, where −500<x<500-500 < x < 500 and −500<y<500-500 < y < 500?

    Tap an option to check your answer.

  4. Question 4

    Asked 2 times: CDS 1 2017*, CDS 2 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    36
    If the system of equations 7x+ky=277x+ky=27 and kx+7y=19kx+7y=19 have unique solution, then which one of the following is correct ?

    Tap an option to check your answer.

  5. Question 5

    Asked 2 times: CDS 2 2017*, CDS 1 2020 (* = numbers or wording changed that year) See all 2 times it was asked

    26
    What is the point on the xyxy-plane satisfying 5x+2y=7xy5x + 2y = 7xy and 10x+3y=8xy10x + 3y = 8xy ?

    Tap an option to check your answer.

  6. Question 6

    This type asked 2 times: CDS 1 2017, CDS 2 2021. This one: CDS 2 2021 See all 2 of this type

    35
    The sum of numerator and denominator of a fraction is 10. If the numerator is increased by 3 and denominator is decreased by 1, the fraction becomes 1. What is the difference between numerator and denominator of the fraction ?

    Tap an option to check your answer.

  7. Question 7

    This type asked 2 times: CDS 1 2020, CDS 2 2020. This one: CDS 2 2020 See all 2 of this type

    17
    A 60-page book has nn lines per page. If the number of lines were reduced by 3 in each page, the number of pages would have to be increased by 10 to give the same writing space. What is the value of nn ?

    Tap an option to check your answer.

  8. Question 8

    Asked once: CDS 1 2017 (same type asked 3 times) See all 3 of this type

    47
    The system of equations 2x+4y=62x + 4y = 6 and 4x+8y=84x + 8y = 8 is

    Tap an option to check your answer.

  9. Question 9

    Asked once: CDS 1 2019 (same type asked 3 times) See all 3 of this type

    73
    Radha and Rani are sisters. Five years back, the age of Radha was three times that of Rani, but one year back the age of Radha was two times that of Rani. What is the age difference between them ?

    Tap an option to check your answer.

  10. Question 10

    Asked once: CDS 1 2019 (same type asked 3 times) See all 3 of this type

    74
    A person carries Rs. 500 and wants to buy apples and oranges out of it. If the cost of one apple is Rs. 5 and the cost of one orange is Rs. 7, then what is the number of ways in which a person can buy both apples and oranges using total amount ?

    Tap an option to check your answer.