PYQ Vault
EbooksTutor

Day 301: CDS Maths

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

  1. Question 1

    Quadrilaterals. Asked once: CDS 1 2019

    65
    Consider a trapezium ABCDABCD, in which ABAB is parallel to CDCD and ADAD is perpendicular to ABAB. If the trapezium has an incircle which touches ABAB at EE and CDCD at FF, where EB=25EB = 25 cm and FC=16FC = 16 cm, then what is the diameter of the circle ?

    Tap an option to check your answer.

  2. Question 2

    Ratio, Proportion and Variation. Asked once: CDS 2 2016

    21
    The cost of 2.5 kg rice is Rs. 125. The cost of 9 kg rice is equal to that of 4 kg pulses. The cost of 14 kg pulses is equal to that of 1.5 kg tea. The cost of 2 kg tea is equal to that of 5 kg nuts. What is the cost of 11 kg nuts ?

    Tap an option to check your answer.

  3. Question 3

    Surds, Indices and Simplification. Asked once: CDS 2 2019

    21
    For x=462+3x = \frac{4\sqrt{6}}{\sqrt{2} + \sqrt{3}}, what is the value of x+22x−22+x+23x−23\frac{x + 2\sqrt{2}}{x - 2\sqrt{2}} + \frac{x + 2\sqrt{3}}{x - 2\sqrt{3}} ?

    Tap an option to check your answer.

  4. Question 4

    Triangles. Asked once: CDS 1 2024

    41
    In a right-angled triangle ABC, AB = 15 cm, BC = 20 cm and AC = 25 cm. Further, BP is the perpendicular on AC. What is the difference in the area of triangles PAB and PCB ?

    Tap an option to check your answer.

  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 2 2023

    72
    If 7sin⁡4θ+9cos⁡4θ+42sin⁡2θ=167 \sin^4 \theta + 9 \cos^4 \theta + 42 \sin^2 \theta = 16, 0<θ<π20 < \theta < \frac{\pi}{2}, then what is tan⁡θ\tan \theta equal to ?

    Tap an option to check your answer.