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Day 240: CDS Maths

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

  1. Question 1

    Percentage, Profit and Loss. Asked once: CDS 1 2025

    72
    100 quintals is what percent of 10 metric tonnes ?

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  2. Question 2

    Polynomials. Asked once: CDS 2 2025

    81
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : What is the remainder when x2n−y2n+1x^{2n} - y^{2n} + 1 is divided by xn+ynx^n + y^n, where nn is a natural number? Statement-I : nn is odd. Statement-II : nn is even. Which one of the following is correct in respect of the above Question and the Statements?

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  3. Question 3

    Quadratic Equations. Asked once: CDS 1 2026

    19
    Let Q=x2+bx+cQ = x^2 + bx + c. If the sum of the roots is equal to product of the roots of the equation Q=0Q = 0, then which of the following statements is/are correct ? I. Q can be a perfect square. II. Q is positive for all real values of x. Select the answer using the code given below :

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  4. Question 4

    Quadrilaterals. Asked once: CDS 1 2026

    46
    In a cyclic quadrilateral ABCD, the diagonal AC bisects the angle C. Which of the following statements is/are correct ? I. ∠ABD=∠ADB\angle ABD = \angle ADB II. The diagonal BD is parallel to the tangent of the circle at A Select the answer using the code given below :

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 1 2026

    34
    A locomotive engine can go 40 km/hr. Its speed gets reduced by a quantity that varies directly as the square root of the number of wagons attached. It is known that its speed becomes 16 km/hr if 36 wagons are attached. What is the smallest number of wagons with which the engine is unable to move ?

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