# Mathematics

1. A number is increased by 15% and then decreased by 25% and the number becomes 22 less than the original number. The original number is
A) 140
B) 160
C) 100
D) 120

3. In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?
A) 1:1
B) 2:1
C) 3:1
D) 1:2

5. (a4 x a8)/a12 = ______________
(A) a20
(B) 1
(C) 12
(D) a-12

7. A man sells an article at 5% above the cost price. If he had bought it at 5% less than what he paid for it and sold it for Rs. 2 less, he would have gained 10%. The cost price of the article is
A) Rs. 250
B) Rs. 400
C) Rs. 200
D) Rs. 350
8. Show Answer B) Rs. 400

9. 8 years ago Arun's mother was 5 times older than Arun. After 6 years, the mother will be 3 times older than Arun. What is the present age of Arun?
A) 14
B) 16
C) 20
D) 22

11. A tank of 35 m length and 25 m breadth, has 35000 cubic meters of water. Find the depth of the tank?
(A) 10m
(B) 20m
(C) 30m
(D) 40m

13. Let a be a positive integer. When 89 and 125 are divided by a, the remainders are 4 and 6 respectively. Then the value of a is
A) 15
B) 17
C) 9
D) 7

15. The number of girls in a class is half of the number of boys. The total number of students in the class can be
(A) 54
(B) 64
(C) 38
(D) 46

17. 40% of a number is added to 120, then the result is double of the number. What is the number?
(A) 100
(B) 240
(C) 150
(D) 75