List of top Questions asked in MAT

In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race?

The remainder when 784 is divided by 342 is

\((\frac{1}{2})\) log₁₀ 25-2log₁₀ 3 + log₁₀ 18 equals

Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposit directions. Both of them make same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is

A bag contains Rs. 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 2:3: 4. The number of 50 paise coins is

A bicycle originally costs Rs 100 and was discounted 10\(\%\). After three months it was sold after being discounted 15\(\%\). How much was the bicycle sold for?

A dairyman pays Rs. 6.4 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5\(\%\) profit. The proportion of water to milk received by the customers is

What is the eighth term of the sequence 1, 4, 9, 16, 25, _________?

A company has 6,435 bars of soap, if the company has sold 20 per cent of its stock, then how many bars of soap did it sell?

A starts 3 min after B for a place 4.5 km distant B, on reaching his destination, immediately returns and after walking a km meets A. if A can walk 1 km in 18 minutes, then what is B's speed?

A man sells an article at 5\(\%\) profit. If he had bought it at 5\(\%\) less and sold it for Re. 1 less, he would have gained 10\(\%\). The cost price of the article is

A number is increased by 10\(\%\) and then reduced by 10\(\%\). After this operation, the number

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is

If the probability that A will live 15 years is \((\frac{7}{8})\) and that B will live 15 years is \((\frac{9}{10})\), then what is the probability that both will live after 15 years?

Which values of x are satisfied by the inequality 2x² + x-3 <0?

The number of tangents that can be drawn to two non-intersecting circles is

A shopkeeper sold a TV set for Rs. 17,940, with a discount of 8\(\%\) and gained 19.6\(\%\). If no discount is allowed, then what will be his gain per cent?

Pintoo dealt some cards to Minto and himself from a full pack of playing cards and laid the rest aside. Pintoo then said to Mintoo, "If you give me a certain number of your cards I will have 4 times as many cards as you have. If I give you the same number of cards, I will have thrice as many cards as you have." How many cards did Pintoo have?

For an acute angle \(\theta \), sin \(\theta \) + cos \(\theta \) takes the greater value when e is

HCF of 3240, 3600 and a third number is 36 and their LCM is 2⁴ x 3⁵ x 5² x 7². The third number is

An express train travelled at an average speed of 100 kmph, stopping for 3 minutes after every 75 km. A local train travelled at a speed of 50 kmph, stopping for 1 minute after every 25 km. If the trains began travelling at the same time, then how many kilometres did the local train travel in the time it took the express train to travel 600 km?

The cost function at production x is defined as C (x) = 3x³- x + 2 and sale function at A cost x is defined as S(x) = \((\frac{A}{x^\frac{1}{3}})\). Which of the following is true?

If x is a positive number, then which of the following fractions has the greatest value?

There are four prime numbers written in ascending order. The product of the first three is 385 and that of the last three is 1001. The first number is

How much interest will Rs- 10,000 earn in 9 months at an annual rate of 6 per cent?