Quantitative Ap...

A management institute has six senior professors and four junior professors. Three professors are selected at random for a Government project. The probability that at least one of the junior professors would get selected is:

Five small pumps and two large pumps are filling a tank. Each small pump works at 3/5ᵗʰ the rate of the large pump. If all seven work at the same time, they should fill the tank in what fraction of the time it would have taken by one large pump alone?

Find the average percentage change of production of rice from 2013 to 2016 if the percentage increase in production in 2014, 2015 and 2016 are 20%, 10% and 15% respectively when calculated with respect to previous year.

The number of people voting for two candidates A & B in an election is a prime number less than 250. The ratio of people who vote for A to those who vote for B, could be

Montu is preparing for law entrance exam through an online test portal, which calculates his average score after every mock paper. In his last two papers P and Q, he got 83 and 75 marks respectively. As a result, his average score in mocks increase by 2 and 1 marks respectively. Now, he took one more test R and his average further increases by 3 marks. How much he scored in mock R?

There is an army camp of 60 soldiers. 1000 kg of wheat is supplied to the camp which will last for 60 days. However after a few days 20 more soldiers joined the camp due to which wheat lasted for 30 more days from the day they joined. After how many days did the additional 20 soldiers join the camp?

Car 'A' travels at the speed of 52 km/hr and reaches its destination in 9 hours. Car 'B' travels at the speed of 42 km/hr and reaches its destination in 6 hours. What is the ratio of the distance covered by car A and car B respectively?

What should come in place of the question mark (?) in the following number series?

13, 49, 113, ?, 357, 553

What should come in place of the question mark (?) in the following number series?

41, 46, 56, 67, 80, 88, ?

What should come in place of the question mark (?) in the following number series?

9, 4, 11, 2, 13, ?