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MAT
List of top Questions asked in MAT
After a get-together every person present shakes the hand of every other person. If there were 105 handshakes in all, how many persons were present in the party?
MAT - 2008
MAT
Logical Reasoning
Seating Arrangement
Four friends were playing a game of cards sitting in a circle. Shankar was on the right of Ram and Gopal was on the left of Arvind. Which of the following pairs were partners?
MAT - 2008
MAT
Logical Reasoning
Seating Arrangement
Four girls (G1, G2, G3, G4) and three boys (B1, B2, B3) are to sit for a dinner such that no two boys should sit together nor two girls. If they are successively sitting, what is the position of B2 and G3?
MAT - 2008
MAT
Logical Reasoning
Seating Arrangement
There are 30 plants of Chiku, Guava, Sitafal and Mango in a row. There is one pair of Mango plants after Chiku and Guava and Mango plants are followed by one Chiku and one Sitafal plant and so on. If the row begins with a plant of Chiku, then which of the following will be the last in the row?
MAT - 2008
MAT
Logical Reasoning
Seating Arrangement
The angles of elevation of the top of a tower, from the top and the foot of a pole of height 10 m, are 30
0
and 60
0
respectively. The height of the tower is
MAT - 2008
MAT
Mathematics
Heights and Distances
A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45
0
. Then which of the following statements is correct?
MAT - 2008
MAT
Mathematics
Heights and Distances
A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60
0
and when he walks 40 metres away from the tree the angle of elevation becomes 30
0
. The breadth of the river is
MAT - 2008
MAT
Mathematics
Heights and Distances
A class consists of 100 students; 25 of them are girls and 75 boys; 20 of them are rich and the remaining poor; 40 of them are fair-complexioned. The probability of selecting a fair- complexioned rich girl is
MAT - 2008
MAT
Mathematics
Probability
A box contains 5 brown and 4 white socks. A man takes out two socks. The probability that they are of the same colour is
MAT - 2008
MAT
Mathematics
Probability
India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is
MAT - 2008
MAT
Mathematics
Probability
Out of 13 applications for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be a woman is
MAT - 2008
MAT
Mathematics
Probability
At a college entrance examination each candidate is admitted or rejected according to whether he has passed or failed the tests. Of the candidates who are really capable, 80% pass the tests and of the incapable, 25% pass the tests. Given that 40% of the candidates are really capable, then the proportion of capable college students is about
MAT - 2008
MAT
Mathematics
Percentage
In an examination, there were 2000 candidates, out of which 900 candidates were boys and the rest were girls. If 32% of the boys and 38% of the girls passed, then the total percentage of failed candidates is
MAT - 2008
MAT
Mathematics
Percentage
From the salary of an officer, 10% is deducted as house rent, 15% of the rest he spends on children's education and 10% of the balance he spends on clothes. After this expenditure he is left with Rs 1377. His salary is
MAT - 2008
MAT
Mathematics
Percentage
If the price of gold increases by 30%, find by how much the quantity of ornaments must be reduced so that the expenditure may remain the same as before.
MAT - 2008
MAT
Mathematics
Percentage
A monthly return railway ticket costs 25 per cent more than a single ticket. A week's extension can be had for the former by paying 5 per cent of the monthly ticket's cost. If the money paid for the monthly ticket (with extension) is Rs 84, the price of the single ticket is
MAT - 2008
MAT
Mathematics
Percentage
A papaya tree was planted 2 years ago. It increases at the rate of 20% every year. If at present, the height of the tree is 540 cm, what was its height when the tree was planted?
MAT - 2008
MAT
Mathematics
Percentage
A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this so that water may be 20% in the new mixture?
MAT - 2008
MAT
Mathematics
Mixtures and Allegations
The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is
MAT - 2008
MAT
Mathematics
Mixtures and Allegations
The average of marks obtained by 120 candidates was 35. If the average of the passed candidates was 39 and that of the failed candidates was 15, then the number of those candidates who passed the examination, was
MAT - 2008
MAT
Mathematics
Average
Angad was conducting an experiment in which the average of 11 observations came to be 90, while the average of first five observations was 87, and that of the last five was 84. What is the measure of the 6th observation?
MAT - 2008
MAT
Mathematics
Average
The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was
MAT - 2008
MAT
Mathematics
Average
The average age of 8 persons in a committee is increased by 2 years when two men aged 35 years and 45 years are substituted by two women. The average age of these two women is
MAT - 2008
MAT
Mathematics
Average
At Narmada Sarovar Bachao (NSB) demonstration, supporters of Ms Patkar outnumbered the police by 9 : 1 The police arrested 135 NSB supporters averaging 5 for every 3 policemen. How many supporters of NSB were there in the demonstration ?
MAT - 2008
MAT
Mathematics
Average
Given below are pairs of events I and Il. Read both the events and decide the relationship. Asume that the information given is true in deciding the answer. Mark answer
Event (I): The price of gold has gone up in the local market.
Event (Il): Indians have won several prizes in designing gold ornaments.
MAT - 2008
MAT
Logical Reasoning
Critical Reasoning
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