1. If we have three numbers such that the first and second numbers are 20% and 25% less than a third number, respectively. If the second number is x% of the first number. Then x is equal to:
(a) 80 1/6 %
(b) 93 ¾ %
(c) 87%
(d) None of these
2. The least number which should be added to 1534 to make it exactly divisible by 31 is:
(a) 15
(b) 16
(c) 17
(d) 18
3. Which of the following is definitely true for the number of pairs which have 16 as their H.C.F. and 136 as their L.C.M.:
(a) Only one such pair exists
(b) Only two such pairs exist
(c) Many such pairs exits
(d) No such pair exists
4. The difference between the digits of a two-digit number is 4. What is the digit in unit's place?
To find out the answer, which of the information given in the statements P and Q is/are sufficient.
P: The difference between the number and the number obtained by interchanging the positions of the digits is 36.
Q: The sum of the digits of that number is 12.
(a) Only P is sufficient
(b) Only Q is sufficient
(c) Both P and Q are needed
(d) Either P or Q is sufficient
5. Two years ago, a man was 6 times as old as his son. After 18 years, he will be twice as old as his son. Their present ages are:
(a) 32, 7
(b) 34, 9
(c) 36, 11
(d) None of these
6. To fill a cistern, pipes A, B, and C takes 20 minute, 15 minutes and 12 minutes respectively. The time in minutes that the three pipes together will take to fill the cistern, is:
(a) 5
(b) 10
(c) 12
(d) 15 2/3
7. A shopkeeper purchased a chair marked at Rs. 800, at two successive discounts of 10% and 15% respectively. He spent Rs. 28 on transportation and sold the chair for Rs. 800. His gain per cent is
(a) 40
(b) 30
(c) 25
(d) 14
8. A train passes two bridges of lengths 800m and 400m in 100 seconds and 60 seconds respectively. The length of the train is
(a) 80 m
(b) 90 m
(c) 200 m
(d) 150 m
9. If the perimeters of a square and a rectangle are the same, then the areas A and B enclosed by them would satisfy the condition:
(a) A < B
(b) A ≤ B
(c) A ≥ B
(d) A > B
10. A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is:
(a) 3: 5
(b) 2: 5
(c) 3: 1
(d) 1: 3
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