# Solved Management Aptitude Test (MAT) 2005 Paper: Mathematical Skills

Jagran Josh

AIMA is all set to conduct its first MAT of the year in February 2013. Previous year paper is the best source to know about the real level of questions asked in the entrance exam. Jagranjosh.com has brought the solved Mathematical Skills section from 2005 MAT Question paper. It consists of 40 questions of easy to medium difficulty level. Practice well to succeed in the exam.

1. The number of ways in which four letters of the word MATHEMATICS can be arranged is
1) 136
2) 2454
3) 1680
4) 192

2. A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is same for both the bowl and the cylinder, the volume of the beverage in the cylindrical vessel is
1) 66(2/3)%
2) 78(1/2)%
3) 100%
4) more than 100%

3. The price of copper rose by 25 per cent and then fell by 20 per cent. The price after these changes was
1) 20 per cent greater than the original price
2) 5 per cent greater than the original price
3) the same as the original price
4) 5 per cent less than the original

4. A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the height are in the ratio 5 : 12, then the ratio of the total surface area of the cylinder to that of the cone is
1) 3 : 1
2) 13 : 9
3) 17 : 9
4) 34 : 9

5. Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 40 pages per hour. If Tom start reading a novel at 4 : 30 and Jan begins reading an identical copy of the same book at 5 : 20, at what time will they be reading the same page
1) 9 : 30
2) 9 : 00
3) 8 : 40
4) 7 : 50