List of top Questions asked in MAT- 2006

A train covers 180 km distance in 4 hours. Another train covers the same distance in 1 hour less.What is the difference in the distances covered by these trains in one hour?
A train covered a certain distance at a uniform speed. If the train had been 6 km/hr faster, then it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6km/hr, then the train would have taken 6 hours more than the scheduled time. The length of the journey is
A ladder 15 m long reaches a window which is 9 m above the ground on one side of a street.Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 12 m high. Find the width of the street.
The horizontal distance between two trees of different heights is 60 m. The angle of depression of the top of the first tree when seen from the top of the second tree is \(45^\circ\). If the height of the second tree is 80 m, then find the height of the first tree.
An aeroplane flying at a height of 300 metres above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are \(60^\circ\) and \(45^\circ\), respectively. Then the height of the lower plane from the ground, in metres, is
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 \(60^\circ\) and when he retires 40 metres away from the tree, the angle of elevation becomes \(30^\circ\). The breadth of the river is
A man on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from \(30^\circ\) to \(45^\circ\), then how soon, after this, will the car reach the tower?
In each of these questions, there is given a Statement followed by two Assumptions numbered I and II. Consider the Statement and the following Assumptions to decide which of the Assumptions is implicit in the Statement. 
Statement:
An advertisement of a Bank, "Want to open a bank account! Just dial our 'room service' and we will come at your doorsteps".
Assumptions:
I. There is a section of people who require such services at their home.
II. Nowadays banking has become very competitive.
An application was received by inward clerk in the afternoon of a week day. Next day, he forwarded it to the table of the senior clerk, who was on leave that day. The senior clerk put up the application to the desk officer next day in the evening. The desk officer studied the application and disposed off the matter on the same day, ie Friday. The application was received by the inward clerk on
In a queue of children, Kashish is fifth from the left and Mona is sixth from the right. When they interchange their places among themselves, Kashish becomes thirteenth from the left. Then, what will be Mona's position from the right?
If the numbers from 1 to 45 which are exactly divisible by 3 are arranged in ascending order, minimum number being on the top, then which number would come at the ninth place from the top?
Which letter should be the ninth letter to the left of the ninth letter from the right, if the first half of the alphabets of English are reversed?
In a family, a couple has a son and a daughter.The age of the father is three times that of hisdaughter and the age of the son is half of his mother.The wife is 9 years younger to her husbandand the brother is seven years older to his sister. What is the age of the mother?
A number of friends decided to go on a picnic and planned to spend Rs 96 on eatables. Four of them did not turn up. As a consequence, each of the remaining ones had to contribute Rs 4 extra. The number of those who attended the picnic was
Out of a total of 120 musicians in a club, \(5\%\) can play all the three instruments ––– guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone?
There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hindi, how many can speak only Hindi and how many can speak only English?
The letters of the name of a vegetable are I, K, M, N, P, P, U. If the letters are rearrangedcorrectly, then what is the last letter of the word formed?
At a farm, there are hens, cows and bullocks, and keepers to look after them. There are 69 heads less than legs; the number of cows is double than that of the bullocks; the number of cows and hens is the same and there is one keeper per ten birds and cattle. The total number of hens plus cows and bullocks and their keepers does not exceed 50. How many cows are there?
In each of these questions, there is given a Statement followed by two Assumptions numbered I and II. Consider the Statement and the following Assumptions to decide which of the Assumptions is implicit in the Statement. 
Statement:
Like a mad man, I decided to follow him.
Assumptions:
I. I am not a mad man.
II. I am a mad man.
In each of these questions, there is given a Statement followed by two Assumptions numbered I and II. Consider the Statement and the following Assumptions to decide which of the Assumptions is implicit in the Statement. 
Statement:
If it is easy to become an engineer, I don't want to be an engineer.
Assumptions:
I. An individual aspires to be professional.
II. One desires to achieve a thing which is hard earned.
In each of these questions, there is given a Statement followed by two Assumptions numbered I and II. Consider the Statement and the following Assumptions to decide which of the Assumptions is implicit in the Statement.
Statement:
All the employees are notified that the organisation will provide transport facilities at half the cost from the nearby railway station to the office except those who are being provided with travelling allowance.
Assumptions:
I. Most of the employees will travel by the office transport.
II. Those who are provided with travelling allowance will not read such notice.
In each of these questions, there is given a Statement followed by two Assumptions numbered I and II. Consider the Statement and the following Assumptions to decide which of the Assumptions is implicit in the Statement. 
Statement:
I can take you quickly from Kanpur to Lucknow by my cab but then you must pay me double the normal charges.
Assumptions:
I. Normally, it will take more time to reach Lucknow from Kanpur.
II. People want to reach quickly but they will not pay extra money for it.
QPO, SRQ, UTS, WVU, (?).
Choose the missing term.
19, 2, 38, 3, 114, 4, (?).
Choose the missing term.
YEB, WFD, UHG, SKI, (?).
Choose the missing term.