## Category: X – Papers

## S-4-29 A person connects a pipe of internal

A person connects a pipe of internal diameter 20m from a canal into a empty cylindrical tank in his field which is 10 m in diameter and 2 m deep. If the rate of flow of water through the pipe is 6km/hr, Read More …

## S-4-28 Two ships are sailing in the sea on either

Two ships are sailing in the sea on either side of a light-house. The angles of depression of two ships as observed from the top of the light-house are 60o and 45o respectively. If the distance between the ships is 200 (√3+1/√3) Read More …

## S-4-27 In fig-3, ∠A of Δ ABC is a right angle

In fig-3, ∠A of Δ ABC is a right angle and AB = 3 units, AC = 4 units. Semicircles are drawn on AB, AC and BC as diameters. Also a circle circumscribing the Δ ABC is drawn. Find the area of the shaded region. Read More …

## S-4-26 Prove that:

## S-4-25 Construct a triangle similar to triangle ABC with

Construct a triangle similar to triangle ABC with its side equal to 3/4 of the corresponding sides of the triangle ABC. Or Construct an isosceles triangle whose base is 7cm and altitude 5 cm and then construct another triangle whose sides are Read More …

## S-4-24 Find the sum of all three-digit numbers

## S-4-23 Two water taps together can fill a tank in

Two water taps together can fill a tank in 9 3/8 hours. The tap of larger diameter takes 10 hrs less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank. Or Read More …

## S-4-22 A box contains 5 red marbles,

## S-4-21 A box contains 90 discs which are numbered from

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a perfect square number. Or Two horses are considered for a race. The Read More …