MAH CET 10th Mar 2024 Slot 4

Find the largest four-digit number exactly divisible by 15,21 and 28.

If the integers a and b are chosen at random from 1 to 100, then the probability that a number of the form $$7^{a}+ 7^{a}$$ is divisible by 5, equal to:

Time required by two pipes A and B working separately to fill a tank is 36 seconds and 45 seconds respectively. Another pipe C can empty the tank in 30 seconds. Initially, A and Bare opened and after 7 seconds, C is also opened. In how much more time the tank would be completely filled?

How many numbers less than 100 have exactly four factors?

Find the largest number which divides 64, 136, and 238 to leave the same remainder in each case.

How many terms are there in the AP. 20, 25, 30, ..... , 130?

The distance from Y to Z is thrice that from X to Y. Two trains A and B travel from X to Z via Y The speed of train B is double that of train A while traveling from X to Y and their speeds are interchanged while traveling from Y to Z. The ratio of the time taken by train A to that taken by train B in traveling from X to Z is?

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds If the speed of the train is 54 km/hr what is the length of the platform? (in m )

Pure milk costs ₹16 per litre. After adding water the milkman sells the mixture ₹15 per litre and thereby makes a profit of 25%. In what respective ratio does he mix milk with water?

The cost of 8 kg of cashew nuts is equal to the cost of 50 kg of guavas. The cost of 19 kg of grapes is Rs. 456. The cost of 1 kg of guava is twice the cost of 2 kg of grapes. What is the total cost of 3 kg of cashew nuts and 4 kg of guavas together?