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Q) A farmer has a circular piece of land. He wishes to construct his house in the form of largest possible square within the land as shown below: The radius of circular piece of land is 35 m. Based on given information, answer the following questions: (i) Find the length of wire needed to fence […]
July 2025
Q) Medical check-up was carried out for 35 students of a class and their weights were recorded as follows:Â Â Find the difference between the mean weight and the median weight. PYQ: 35 – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Step 1: Mean weight value of data: To calculate the
Q) From a solid cylinder of height 24 cm and radius 5 cm, two cones of height 12 cm and radius 5 cm are hollowed out. Find the volume and surface area of the remaining solid. PYQ: 34 (b) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans:Â Given that the
Q) From one of the faces of a solid wooden cube of side 14 cm, maximum number of hemispheres of diameter 1.4 cm are scooped out. Find the total number of hemispheres that can be scooped out. Also, find the total surface area of the remaining solid. PYQ: 34 (a) – CBSE 2025 – Code
Q) Find the value(s) of p for which the quadratic equation given as (p + 4) x2Â – (p + 1) x + 1 = 0 has real and equal roots. Also, find the roots of the equation(s) so obtained. PYQ: 32 (b) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans:
Q) A 2-digit number is seven times the sum of its digits and two (2) more than 5 times the product of its digits. Find the number. PYQ: 32 (a) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Step 1: Let’s consider the 2-digits of the number are a and
Q) Solve the following system of linear equations graphically: 2x- y – 2= 0 – 4 x + y + 4 = 0 Also, find the absolute difference between the ordinates of the points where given lines cut y – axis. PYQ: 28 – CBSE 2025 – Code 30 – Series 5 – Set 1
Q) Find a relation between x and y such that the point P(x, y) is equidistant from the points A (3, 5) and B (7, 1). Hence, write the coordinates of the points on x-axis and y-axis which are equidistant from points A and B. PYQ: 29 – CBSE 2025 – Code 30 – Series
Q) Let 2A + B and A + 2B be acute angles such that sin (2A + B) = √3 / 2 and tan (A + 2B) = 1. Find the value of cot (4A – 7B). PYQ: 30 (b) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Let’s start solving
Q) Prove the following trigonometric identity: (1 + cosec A) / (cosec A) = (cos2 A) / (1 – sin A) PYQ: 30 (a) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Let’s start from LHS LHS = (1 + cosec A) / (cosec A) = (1 + (1 / sin