A train travelling at 48 km/h completely crosses another train having half the length of first train and travelling in opposite direction at 42 km/h in 12 seconds. The train having speed 48 km/h also passes a railway platform in 45 seconds. What is the length of the platform?

Ramesh invests ₹1,200 at 5% simple interest. How much additional money must he invest at 8% simple interest so that his total annual income will be equal to 6% of his total investment during this year?

Find the number of permutations that can be made from the letters of the word OMEGA, if the vowels occupy odd places.

A cylindrical vessel of radius 4 cm contains water. A solid sphere of 3 cm radius is lowered into the water until it is completely immersed. The water level in the vessel will rise by :

If abc > 0, such that a, b, c are integers then which of the following must be true?

Given below are two statements : Statement I : Ram and Shyam can finish a task by working together in 6 days. If Shyam can finish the task by working alone in 8 days, then Ram alone will take 24 days to finish it. Statement II : If 6 persons working 8 hours a day earn ₹8,400 per…

If the roots of the equation px² + x + r = 0 are reciprocal to each other, then which one of the following is correct?

A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss percentage?

Arrange the following in increasing order: (A) ⁴√3 (B) ³√2 (C) ⁶√5 (D) ⁶√7 Choose the correct answer from the options given below :