List of top Questions asked in MAT

The question below has two statements, I and Impark your answer as
If y = 2x, then
I. sin y = 2 tan x/(1 + tan2x)
II. cos y = 2 tan x/(1 - tan2x)
The question below has two statements, I and Impark your answer as
IF z = x + iy, where i = (-1), then
I. z = 0, when x = 0, \(y\neq20\)
II. If a + bi = c + di, then a = c, b = d
The question below has two statements, I and Impark your answer as
There are three sets A, B and C. Find A\( \cap\) (B \( \cap\) C).
I. A \(\cup\) B and A  \(\cup\) C are known.
II. A \(\cap\) B and A \(\cap\) C are known.
The question below has two statements, I and Impark your answer as
A moving train moves Y meters in t seconds. Find its acceleration.
I. Y=t3-4t3 + 16t - 2
II. Velocity at that moment was 20 m/sec.
Two trains of equal length are running on parallel lines in the same direction at 46 km and 36 km per hr. The faster train passes the slower train in 36 sec. The length of each train is
The length of the longest rod that can be placed in a room which is 12 m long 9 m broad and 8 m high is
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
What is the eighth term of the sequence 1, 4, 9, 16, 25, _________?
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
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 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?
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?
The number of tangents that can be drawn to two non-intersecting circles is
Which values of x are satisfied by the inequality 2x2 + x-3 <0?
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