Q). The sum of the areas of two squares is 640 m2. If the difference of their perimeters is 64 m, find the sides of the two squares. (Q 35 B – 30/1/3 – CBSE 2026 Question Paper) Ans: Let’s consider that the side of a square is X m and the side of the […]
Q)Â A faster train takes one hour less than a slower train for a journey of 200 km. If the speed of the slower train is 10 km/hr less than that of the faster train, find the speeds of the two trains. (Q 35 A – 30/1/3 – CBSE 2026 Question Paper) Ans:Â Step 1: Let’s
Q)Â Radio towers are used for transmitting a range of communication services. including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure. On a similar concept, a radio station tower was built in two sections ‘A’ and ‘B’. Tower is supported by wires from
Q)Â In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato. The other potatoes are arranged 3 m apart in a straight line, with a total of 10 potatoes, as shown in the figure: A competitor starts from the bucket, picks up the nearest potato, runs
Q)Â A brooch is crafted from silver wire in the shape of a circle with a diameter of 35 cm. The wire is also used to create 5 diameters, dividing the circle into 10 equal sectors as shown in figure. Based on the above information, answer the following questions: (i) What is the radius of circle?
Q) A chord of a circle of radius 15 cm subtends an angle of 60° at the centre of the circle. Find the area of the corresponding minor segment. (π = 3.14, √3 = 1.73). UP Board 2024 (822 HY) Ans: For a detailed answer to this question, please refer to the similar question and
Q) How many two digits numbers are divisible by 3? Ans: Here, we need to count all two-digit numbers which are divisible by 3. Step 1: Now we know that the smallest two-digit number is 10. ∴ the first two digits number, which is also a multiple of 3, is 12. The largest two-digit number is
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Q) From an external point P, two tangents PA and PB are drawn to the circle with centre O. If ∠PAB=50°, then find ∠AOB Ans: Step 1: Let’s draw a diagram with a circle with O as centre. Let the two tangents PA and PB are drawn from point A on to this circle and
Q) Two dice are tossed simultaneously. Find the probability of getting (i) an even number on both dice. (ii) the sum of two numbers more than 9. Ans: Step 1: Since each die has 6 faces and we are tossing 2 dice, ∴ Total outcomes = (6)2 = 36 Part (i) Step 2: Let’s first calculate
Q) An electric pole is 10 m high. A steel wire tied to top of the pole is affixed at a point on the ground to keep the pole upright. If the wire makes an angle of 45° with the horizontal through the foot of the pole, find the length of the wire. [Use √2