Question 5: In a flight of 600 km an aircraft was slowed due to bad weather. Its average speed for the trip was reduced by 200km/hr and time of flight increased by 30 minutes. Find the original duration of flight. [CBSE 2020] Solution : Let the actual speed of flight = ‘x’ km/h … Read more
Question 6: A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hours less for the same journey. Find the speed of the train. … Read more
Question 4: A train covers a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, it would have taken 3 hours more to cover the same distance. Find the original speed of the train. [CBSE 2020] Solution: Let the original … Read more
Question 3: If the equation (1 + m²)x² + 2 mcx + c² – a² = 0 has equal roots then show that c² = a²(1 + m²). [CBSE 2017] Solution: Given quadratic equation is: (1 + m²) x² + 2mcx + c² – a² = 0 On comparing it with A x² + B … Read more
Question 2: The sum of areas of two squares is 157 m². If the sum of their perimeters is 68 m, find the sides of the two squares. [CBSE 2019] Solution: Let the side of first square = x m And side of second square = … Read more
Question:1 If Ritu were younger by 5 years than what she really is, then the square of her age would have been 11 more than five times her present age. What is her present age ? [CBSE Term-2 SQP 2022] Solution: Let, the present age of Ritu … Read more
Question 6: A bag I contains 5 red and 4 white balls and a bag II contains 3 red and 3 white balls. Two balls are transferred from the bag I to the bag II and then one ball is drawn from the bag II. If the ball drawn from the bag II is red, … Read more
Question 5: In a group of 50 scouts in a camp, 30 are well trained in first aid techniques while the remaining are well trained in hospitality but not in first aid. Two scouts are selected at random from the group. Find the probability distribution of number of selected scouts who are well trained in … Read more
Question 4: The probability that A hits a target is 1/3 and the probability that B hits it is 2/5. If each one of A and B shoots at the target, what is the probability that … Read more
Question 3: A, B and C throw a pair of dice in that order alternately till one of them gets a total of 9 and wins the game . Find their respective probabilities of winning, if A starts first. … Read more