Practice Test:Quantitative Ability

1.Two friends A and B leave City P and City Q simultaneously and travel towards Q and P at constant speeds. They meet at a point in between the two cities and then proceed to their respective destinations in 54 minutes and 24 minutes respectively. How long did B take to cover the entire journey between City Q and City P?
a)60
b)36
c)24
d)48

2)N = 70! × 69! × 68! × ….. 3! × 2! × 1! Which of the following represents the 147th digit from the right end of N?
a)2
b)0
c)5
d)7

3.A large cube is formed by bringing together 729 smaller identical cubes. Each face of the larger cube is painted with red colour. How many smaller cubes are there none of whose faces is painted?
a)216
b)256
c)343
d)456

4.Anant purchased x chocolates for Rs. y, where y is a natural number. The shopkeeper had offered to give him x+10 chocolates for Rs. 2. Anant declined the offer though it would have resulted in a saving of 80 paise per dozen chocolates for him. Which of the following can be the number of chocolates purchased by Anant?
a)1
b)3
c)5
d)15

5.Two friends A and B simultaneously start running around a circular track . They run in the same direction. A travels at 6 m/s and B runs at b m/s. If they cross each other at exactly two points on the circular track and b is a natural number less than 30, how many values can b take?
a)3
b)4
c)7
d)5

6.In how many ways can 18 identical balls be distributed among 3 identical boxes?
a)25
b)210
c)105
d)37

7.The cost price of four articles A, B, C and D are ‘a’, ‘b’, ‘c’ and ‘d’ respectively. A, B, C and D are sold at profits of 10%, 20%, 30% and 40% respectively. If the net profit on the sale of these four articles is 25%, ‘a’, ‘b’, ‘c’ and ‘d’ cannot be in the ratio
a)4 : 1 : 4 : 3
b)1 : 2 : 2 : 1
c)2 : 3 : 6 : 1
d)5 : 2 : 7 : 3
8.N is a five-digit perfect square whose unit digit is same as the tens digit. How many such N are there?
a)31
b)30
c)33
d)32
9.A faulty clock gains 10 minutes every hour. If the time is set correctly at 12 Noon on 1st Jan 2010, then how many times will its minute-hand and hour-hand meet in the next 24 hours ?
a)22
b)26
c)24
d)25

10.India and Brazil play the Soccer World Cup final in which India defeats Brazil 4 – 2. In how many different ways could the goals have been scored given that Brazil never had a lead over India during the match?
a)9
b)10
c)12
d)8