PYQ Vault

Day 212: CBSE Class 10 Maths

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

  1. Question 1

    Pair of Linear Equations in Two Variables. Asked once: 2025

    32
    Vijay invested certain amounts of money in two schemes A and B, which offer interest at the rate of 8% per annum and 9% per annum, respectively. He received ₹ 1,860 as the total annual interest. However, had he interchanged the amounts of investments in the two schemes, he would have received ₹ 20 more as annual interest. How much money did he invest in each scheme ?

  2. Question 2

    Quadratic Equations. Asked once: 2022

    12 (b)
    The difference of the squares of two numbers is 180. The square of the smaller number is 8 times the greater number. Find the two numbers.

  3. Question 3

    Real Numbers. Asked once: 2025

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    20
    Assertion (A) : For two odd prime numbers xx and yy, (x≠y)(x \neq y), LCM(2x,4y)=4xy\text{LCM}(2x, 4y) = 4xy Reason (R) : LCM(x,y)\text{LCM}(x, y) is a multiple of HCF(x,y)\text{HCF}(x, y).

    Tap an option to check your answer.

  4. Question 4

    Some Applications of Trigonometry. Asked once: 2022

    8
    The tops of two poles of heights 20 m and 28 m are connected with a wire. The wire is inclined to the horizontal at an angle of 30∘30^\circ. Find the length of the wire and the distance between the two poles.

  5. Question 5

    Surface Areas and Volumes. Asked once: 2022

    6 (a)
    The curved surface area of a right circular cylinder is 176 sq cm and its volume is 1232 cu cm. What is the height of the cylinder ?