Q) From the top of a building 60 m high, the angles of depression of the top and bottom of the vertical lamp post are observed to be 30° and 60° respectively.(i) Find the horizontal distance between the building and the lamp post.(ii) Find the distance between the tops of the building and the post. […]
From the top of a building 60 m high, the angles of depression Read More »
Q) BINGO is game of chance. The host has 75 balls numbered 1 through 75. Each player has a BINGO card with some numbers written on it. The participant cancels the number on the card when called out a number written on the ball selected at random. Whosoever cancels all the numbers on his/her card, says
BINGO is game of chance. The host has 75 balls numbered 1 through 75. Read More »
Q) A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area and the volume of the vessel. Ans. Let’s start with the diagram of the question: We
(Q) A rectangular floor area can be completely tiled with 200 square tiles. If the side length of each tile is increased by 1 unit, it would take only 128 tiles to cover the floor.(i) Assuming the original length of each side of a tile be x units, make a quadratic equation from the above information.
A rectangular floor area can be completely tiled with 200 square tiles. Read More »
(Q) The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers. Ans: Step 1: Make equations: Let the smaller number be x and larger number be y. By 1st condition, y2 – x2 = 180 …. (i) By 2nd condition,
(Q) Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find the Rohan’s present age. Ans: Let’s Rohan’s age be km /h Hence, his mother’s age is 3 years later, Rohan’s age will be: and his mother’s age
(Q) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km / h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train. Ans: Let’s the speed of the train be km /h
(Q) A cottage industry produces a certain number of pottery articles in a day. it was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs. 90,
4.2.6. A cottage industry produces a certain number of pottery articles in a day. Read More »
(Q) The altitude of a right angle triangle is 7 cm less than its base, If the hypotenuse is 13 cm, find the other two sides. Ans: Let’s the height of the triangle be By given condition, it is 7 cm less than it base, or we can say that, its base is 7 cm
(Q) Find the two consecutive positive integers, sum of whose squares is 365. Ans: Let’s the 1st number be Next number has to be consecutive and hence next number will be It is given that sum of the squares of these two number is 365 Here, we reject x = – 14 because it is
4.2.4: Find the two consecutive positive integers, sum of whose squares is 365. Read More »