Question
Train X, traveling at a speed of 36 km/hr, crosses
another train Y, which is moving in the opposite direction at a speed of 72 km/hr, in 't' seconds. If the ratio of the lengths of train X and train Y is 5:4, and train X crosses a pole in 40 seconds, find the value of (t + 11).Solution
Length of train X = 40 × 36 × (5/18) = 400 m Length of train Y = (400/5) × 4 = 320 m => t = (400 + 320)/[(36 + 72) ×(5/18)] = 24 sec Required value = (t + 11) = 24 + 11 = 35
For A = [[2,3],[-1,4]], find det(2A).
A man spends 30% of his salary on rent, 25% on groceries, and the remaining on savings. If he saves ₹18,000, what is his total salary?
Determine the mean of the following observations:
24, 26, 22, 25, 20, 21, 24, 251153, 1206, ?, 1326, 1393, 1464
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² + 2x - 15 = 0
Equation 2: y² - 4y - 12 = 0
84 is divided into two parts in such a way that the fourth part of the first part and the fifth part of the second are in the ratio 1 : 2. The first par...
6 mangoes are bought for Rs 24 and 3 mangoes are sold for Rs 18. Find the percentage profit or loss.
In how many ways can 5 boys and 5 girls sit around a circle such that no two boys sit adjacent and no two girls sit adjacent?
A woman invested Rs. 75,000 at compound interest of 12% p.a. compounded annually for 1 year. If the interest had been compounded semi-annually, how much...
