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Day 114: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2022 (same type asked 3 times) See all 3 of this type

    18
    If x is the HCF and y is the LCM of 35,625,920,2750\frac{3}{5}, \frac{6}{25}, \frac{9}{20}, \frac{27}{50}, then which one of the following is correct ?

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  2. Question 2

    Number System. Asked once: CDS 2 2025 (same type asked 3 times) See all 3 of this type

    19
    Let XYZXYZ be a 3-digit number. Let DD be the difference between XYZXYZ and ZYXZYX. What is the remainder when DD is divided by 99?

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  3. Question 3

    Number System. Asked once: CDS 2 2025 (same type asked 3 times) See all 3 of this type

    4
    Let xx and yy be natural numbers, each less than 20, such that xx, yy, x+yx+y and x−yx-y are prime numbers. How many such combinations of (x, y, x+y, x−y)(x,\ y,\ x+y,\ x-y) are possible?

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  4. Question 4

    Quadrilaterals. Asked once: CDS 2 2018 (same type asked 3 times) See all 3 of this type

    74
    Let S be the parallelogram obtained by joining the mid-points of the parallelogram T. Consider the following statements : 1. The ratio of area of T to that of S is 2:12 : 1. 2. The perimeter of S is half of the sum of diagonals of T. Which of the above statements is/are correct ?

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  5. Question 5

    Simple and Compound Interest. Asked once: CDS 1 2022 (same type asked 3 times) See all 3 of this type

    33
    A person borrowed Rs. 9,000 at 7%, Rs. 12,000 at 8% and Rs. 15,000 at 9% simple interest per annum. He had to pay Rs. 50,700 at the end of nn years. What is the value of nn ?

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