1. Numerator and denominator of a fraction are in the ratio 2 : 3. When 2 is subtracted from numerator and 1 is added to denominator, the ratio becomes 1 : 2. The difference of numerator and denominator is:
a) 15
b) 5
c) 10
d) 25
2. In triangle ABC, I is incentre and ∠BAC = 80°, then ∠BIC = ?
a) 50°
b) 160°
c) 130°
d) 80°
3. If discount of 10% is given on the marked price of an item, gain is 20%. If discount is increased to 20% on marked price, decrement percent in gain is:
a) 33(1/3)
b) 66(2/3)
c) 23(1/3)
d) 63(1/3)
4. A deposited a certain sum of money at 12% per annum interest for 4 years. B deposited another sum at 18% per annum interest for 3 years. If both get same interest the ratio of the deposits of A and B is:
a) 3 : 4
b) 9 : 8
c) 2 : 3
d) 4 : 3
5. The angles of elevation of a tower A from the bottom and top of a tower B of height 10 mts are 60° and 30° respectively. The height of tower A is:
a) 5
b) 10
c) 15
d) 20
6. x2 + y2 + z2 + 2 = 2(x+y), then x4 + y4 + z4 = ?
a) 1
b) 2
c) 3
d) 4
7. The area formed with x = 0, y = 0, 2x + 3y – 6 = 0 and 4x + 6y – 24 = 0 is:
a) 3
b) 9
c) 12
d) 24
8. Two pipes A and B can fill a tank in 30 mins and 45 mins respectively. A pipe C can empty it in 36 mins. First A and B opened. After 12 mins C opened and closed in 6 mins. Total time in which the tank filled is:
a) 18 mins
b) 21 mins
c) 24 mins
d) 19 mins
9. Speed of water flow in a river is 2 kmph. A man takes double time in rowing against the flow of water than along the flow of water for same distance. What is the speed of man in still water?
a) 6 kmph
b) 12 kmph
c) 8 kmph
d) 4 kmph
10. A cricket team won 6 matches more than it lost. If it won 60% of the matches played, the number of matches it lost is:
a) 6
b) 18
c) 12
d) 30
11. The number of divisors of 600 is:
a) 8
b) 16
c) 22
d) 24
12. If secθ + tanθ = 2 then sinθ = ?
a) 1/2
b) 2/3
c) 3/4
d) 4/5
13. A tent is in the form of a cone with base radius 3m and height 4m. The cost of total cloth used if rate of cloth is Rs.140 per sq.m
a) Rs. 3000
b) Rs. 3300
c) Rs. 6000
d) Rs. 6600
14. Two circles with perimeters 44 and 132 touch each other internally. The distance between their centres is:
a) 14
b) 28
c) 7
d) 21
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