PYQ Vault
EbooksTutor

Day 218: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 1 2021 (same type asked 7 times) See all 7 of this type

    44
    If nn is any natural number, then 52n−15^{2n} - 1 is always divisible by how many natural numbers?

    Tap an option to check your answer.

  2. Question 2

    Ratio, Proportion and Variation. Asked once: CDS 1 2017 (same type asked 6 times) See all 6 of this type

    12
    If A:B=3:4A : B = 3 : 4, then what is the value of the expression (3A2+4B3A−4B2)\left( \dfrac{3A^2 + 4B}{3A - 4B^2} \right) ?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 2 2016 (same type asked 6 times) See all 6 of this type

    83
    Consider the following : 1. cos⁡75∘sin⁡15∘+sin⁡12∘cos⁡78∘−cos⁡18∘sin⁡72∘=1\frac{\cos 75^\circ}{\sin 15^\circ} + \frac{\sin 12^\circ}{\cos 78^\circ} - \frac{\cos 18^\circ}{\sin 72^\circ} = 1 2. cos⁡35∘sin⁡55∘−sin⁡11∘cos⁡79∘+cos⁡28∘cosec⁡62∘=1\frac{\cos 35^\circ}{\sin 55^\circ} - \frac{\sin 11^\circ}{\cos 79^\circ} + \cos 28^\circ \operatorname{cosec} 62^\circ = 1 3. sin⁡80∘cos⁡10∘−sin⁡59∘sec⁡31∘=0\frac{\sin 80^\circ}{\cos 10^\circ} - \sin 59^\circ \sec 31^\circ = 0 Which of the above are correct ?

    Tap an option to check your answer.

  4. Question 4

    Number System. Asked once: CDS 2 2020 (same type asked 9 times) See all 9 of this type

    36
    The sum of the digits of a two digit number is 13 and the difference between the number and that formed by reversing the digits is 27. What is the product of the digits of the number ?

    Tap an option to check your answer.

  5. Question 5

    Polynomials. Asked once: CDS 1 2021 (same type asked 9 times) See all 9 of this type

    16
    What is the HCF of x3−19x+30x^3 - 19x + 30 and x2−5x+6x^2 - 5x + 6?

    Tap an option to check your answer.