Q)Â A pendulum swings through an angle of 30and describes an arc of 8.8 cm in length. Find the length of the pendulum. Ans:Â Let’s draw a diagram and plot the given information. (Note: your question will become clearer and your answer will never be wrong if you draw a diagram) We know that the circumference of […]
October 2023
Q) The sum of ages of a father and his son is 45 years. Five years ago, the product of their ages (in years) was 124. Determine their present ages. Ans: Let’s consider the father’s age is X and son’s age is Y. Step 1: It is given that, X + Y = 45 ……
Q) A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of cylinder. The diameter and height of cylinder are 6 cm and 12 cm, respectively. If the slant height of the conical portion is 5 cm, then
Q) 150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel. Ans:Â Let’s draw a diagram to understand the question: Given that the diameter of the marble
Q)Â A horse is placed for grazing inside a rectangular field 70 m by 52 m and is tethered to one corner by a rope 21 m long. On how much area can it graze? Ans:Â Let’s draw a diagram and plot the given information. (Note: your question will become clearer and your answer will never be
Q) If = λ, then find the value of λ. Ans: Solving LHS LHS = ………… (i) We know that = 1 ∴ By substituting this value in equation (i) , we get: = = 1 Since RHS = λ Therefore λ = 1
If cosec2θ (1 + cosθ)(1 – cosθ) = λ, then find the value of λ. Read More »
Q) Vijay is trying to find the average height of a tower near his house. He is using the properties of similar triangles. The height of Vijay’s house if 20m when Vijay’s house casts a shadow 10m long on the ground. At the same time, the tower casts a shadow 50m long on the ground
Q)  Your friend Veer wants to participate in a 200m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less. He wants to do in 31 seconds. 1. Which of the following terms are in AP for the given situationa) 51,53,55….  Â
Q) Raj and Ajay are very close friends. Both the families decide to go to Ranikhet by their own cars. Raj’s car travels at a speed of x km/h while Ajay’s car travels 5 km/h faster than Raj’s car. Raj took 4 hours more than Ajay to complete the journey of 400 km. 1. What
Raj and Ajay are very close friends. Both the families decide to go to Read More »
Q) Find the greatest 3-digit number which is divisible by 18, 24 and 36. Ans: Here, this question is slightly tricky one. We need to first find lowest number and then find its largest multiple with 3 digits. Hence, we need to find LCM, not HCF. Let’s start with LCM of 18, 24, 36. By
Find the greatest 3-digit number which is divisible by 18, 24 and 36. Read More »