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Mathematics
List of top Mathematics Questions asked in MAT
In an examination paper there are two groups, each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?
MAT - 2002
MAT
Mathematics
Permutations and Combinations
The average (arithmetic mean) of x and y is 40. If z = 10, then what is the average of x, yand z?
MAT - 2002
MAT
Mathematics
Elementary Mathematics
A track is in the form of a ring whose inner circumference is 352 m and the outer circumference is 396 m. The width of the track is
MAT - 2002
MAT
Mathematics
Geometry
A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling
MAT - 2002
MAT
Mathematics
Time Speed and Distance
A cricket team of 11 players is to be formed from 20 players including 6 bowlers and 3 wicket keepers. The number of ways in which a team can be formed having exactly 4 bowlers and 2 wicket keepers is
MAT - 2002
MAT
Mathematics
Permutations and Combinations
The angles of elevation of an artificial satellite measured from two earth stations are 30°and 40° respectively, if the distance between the earth stations is 4000 km, then the height of the satellite is
MAT - 2002
MAT
Mathematics
Trigonometry
Sanjay borrowed a certain sum from Anil at a certain rate of simple interest for 2 years. He lent this sum to Ram at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 4200 as compound interest but paid Rs. 4000 only as simple interest. Find the rate of interest.
MAT - 2002
MAT
Mathematics
SI & CI
By selling 33 metres of cloth, a shopkeeper gains the price of 11 metres of cloth. His gain percent is
MAT - 2002
MAT
Mathematics
Profit and Loss
A cycle agent buys 30 bicycles, of which 8 are first grade and the rest are second grade, for Rs. 3150. Find at what price he must sell the first grade bicycles so that if he sells the second grade bicycles at three quarters of the price, he may make a profit of 40% on his outlay?
MAT - 2002
MAT
Mathematics
Profit and Loss
'A' wants to secure an annual income of Rs. 1500 by investing in 15
\(\%\)
debentures of face value Rs. 100 each and available for Rs. 104 each. If the brokerage is 1
\(\%\)
, then the sum of money he should invest is
MAT - 2002
MAT
Mathematics
Commercial Maths
A box contains 10 balls out of which 3 are red and the rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?
MAT - 2002
MAT
Mathematics
Probability
p
\(\%\)
of a number P is q
\(\%\)
more than r
\(\%\)
of the number R. If the difference between P and R is r
\(\%\)
of R and if the sum of P and R is 210, then which of the following statements is always true?
MAT - 2002
MAT
Mathematics
Percentage
The weight of a solid cone having diameter 14 cm and vertical height 51 cm is _______ if the material of solid cone weighs 10 grams per cubic cm.
MAT - 2002
MAT
Mathematics
Geometry
A vessel is fully filled with a special liquid. Four litres of liquid is drawn out of this vessel and is replaced with water. If the ratio of the special liquid to the water becomes 1: 2, then what is the capacity of the vessel?
MAT - 2002
MAT
Mathematics
Mixtures and Allegations
A person pays Rs. 975 in monthly instalments, each monthly instalment being less than the former by Rs. 5. The amount of the first instalment is Rs. 100. In what time, will the entire amount be paid?
MAT - 2002
MAT
Mathematics
Commercial Maths
Shatabadi Express has a capacity of 500 seats of which 10
\(\%\)
are in the Executive Class and the rest being Chair Cars. During one journey, the train was booked to 85
\(\%\)
of its capacity. If Executive Class was booked to 96
\(\%\)
of its capacity, then how many Chair Car seats were empty during that journey?
MAT - 2002
MAT
Mathematics
Percentage
The sides of triangle are 6 cm,11 cm and 15 cm.The radius of its incircle is
MAT - 2001
MAT
Mathematics
Mensuration
The mean of 30 values was 150. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
MAT - 2001
MAT
Mathematics
Average
Sunder purchased an office bag with a price tag of Rs 600 in a sale where 25%discount was being offered on the tag price. He was given a further discount of 10% on the amount arrived at after giving usual 25%discount. What wasthe final amount paid by Sunder?
MAT - 2001
MAT
Mathematics
Profit and Loss
lf 10 years are subtracted from the present age of Ram and the remainderdivided by 14, then you would get the preset age of his grandson Shyam. If Shyam is 9 years younger to Sunder whose age is 14, then whatis the present age of Ram?
MAT - 2001
MAT
Mathematics
distance
Acar owner buyspetrol at Rs 7.50, Rs 8.00 and Rs 8.50 per litre for three successive years. What approximately is the average costper litre of petrol if he spends Rs 4000 each year?
MAT - 2001
MAT
Mathematics
Average
Shyam had 85 currency notes in all, some of which were of Rs 100 denomination and the remaining of Rs 50 denomination. The total amountof all these currency notes was Rs 5000. How much amountin rupeesdid he have in the denomination of Rs 50?
MAT - 2001
MAT
Mathematics
Number Systems
The diameter of a cycle wheel is 70 cm. A cyclist takes 30 hours to reach a destination at the speed of 22 km/hr. How many revolutions will the wheel make during this journey?
MAT - 2001
MAT
Mathematics
Mensuration
A boat goes 24 km upstream and 28 km dowstream in 6 hours. If it goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes, find the speed of the stream.
MAT - 2001
MAT
Mathematics
Boat and Stream
Four different objects 1, 2, 3, 4 are distributed at random in four places marked 1, 2, 3, 4. What is the probability that none of the objects occupy the place corresponding to its number ?
MAT - 2001
MAT
Mathematics
Probability
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