Question
Each side of square ‘A’ is 7 cm less than that of
square ‘B’. The perimeter of a rectangle is 5 times the difference of the perimeters of the two square. If the length of the rectangle is 27 cm, then find its breadth.Solution
Let each side of the square ‘A’ be ‘a’ cm Therefore, each side of square ‘B’ = (a + 7) cm Difference between their perimeters = 4(a + 7) – 4a = 28 cm Therefore, perimeter of the rectangle = 5 × 28 = 140 cm Let the breadth of the rectangle be ‘b’ cm According to the question, 2 × (27 + b) = 140 Or, 27 + b = 70 Or, b = 43 cm
In a lottery, there are 12 prizes and 16 blanks. A lottery is drawn at random. What is the probability of getting a prize?
What is the probability that a number selected from 1,2,3.......................68,69,70, is perfect square or a perfect cube?
A bag contains only red and blue balls. The probability of drawing a red ball from the bag is 3/5. If 4 more blue balls are added to the bag, the probab...
- A jar contains five 25 paise coins, ten Rs. 1 coins, and ten Rs. 5 coins. One coin was accidentally dropped and lost. Find the probability that the lost co...
- A boy attended 5 lab evaluations, each having a total of 100 marks. His scores were 88, 76, 92, 81, and 70. He randomly reveals one of the scores to his fr...
In a group of artists, there are 10 dancers and 8 singers. If four artists are to be selected at random, what is the probability that 2 dancers and 2 si...
There are (m + 6) red roses, (m + 10) white roses and ‘m’ pink roses in a bag. If the probability of picking a pink rose is 5/23, then find the valu...
A box contains 6 blue shirts, 7 yellow shirts and 9 pink shirts. In how many ways can 4 shirts be drawn from the box, if at least one blue shirt, one ye...
A bag has x blue balls and 4 yellow balls. If the probability of picking a blue ball is 3/5, find the probability that two balls drawn at once are of di...
A bag contains 18 black and 20 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
