Q 1. Two pipes A and B can fill a tank in 6 hours and 8 hours respectively. If both the pipes are opened together, then after how many hours should B be closed so that the tank is full in 4 hours?
a. 2/3
b. 1
c. 2
d. 8/3
Q 2.Two numbers are in the ratio of 3:5. If 9 be subtracted from each, then they are in the ratio of 12:23. Find the number?
a. 15:28
b. 36:115
c. 33:55
d. 60:69
Q 3. A dishonest shopkeeper, using a faulty balance make a profit of 5% while buying as well as while selling his goods. His actual gain percent in the whole process amounts to?
a. 11
b. 10
c. 10.25
d. 10.5
Q 4. The price of an article has been reduced by 25%. In order to restore the original price, the reduced price must be increased by?
a. 25%
b. 30%
c. 33%
d. 33.1/3%
Q 5. A cube of edge 6 cm is painted on all sides and then cut into unit cubes. The number of unit cubes with no sides painted is?
a. 0
b. 64
c. 186
d. 108
Q 6. Internal bisector of angles B and angle C of a triangle ABC meet at O. If angle BAC = 80 degree, then the value of angle BOC is?
a. 120 degree
b. 140 degree
c. 110 degree
d. 130 degree
Q 7. If sec Ɵ+ tan Ɵ= 2 then the value of sec Ɵ is ?
a. 4/5
b. 5
c. 5/4
d. 2
Q 8. If each interior angle is double of each exterior angle of a regular polygon with n sides, then the value of n is?
a. 8
b. 10
c. 5
d. 6
Q 9. The side BC of a triangle ABC is produced to D. If angle ACD =108 degree and angle B = ½ of angle A , then angle A in degree?
a. 36
b. 72
c. 108
d. 59
Q 10. In triangle ABC, AD is the median and AD = ½ BC. If angle BAD = 30 degree, then measure of angle ACB is?
a. 90 degree
b. 45 degree
c. 30 degree
d. 60 degree
Q 11. If a+b+1 = 0, then the value of (a3 + b3 + 1 – 3ab) is?
a. 3
b. 0
c. -1
d. 1
Q 12. A discount of 30% on the marked price of toy reduces its selling price by rs. 30. What is the new selling price ?
a. 70
b. 21
c. 130
d. 100
Q 13. Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours pipe A is closed, then the other pipe will fill the tank?
a. 6 hours
b. 3.1/2 hours
c. 4 hours
d. 2.1/2 hours
Q 14. A sells an article to B at a profit of 20% and B sell it to C at a profit of 25%. If C pays rs. 1200, then the cost price of the article originally is?
a. 700
b. 600
c. 1000
d. 800
Q 15. If the ratio of cost price and selling price be 9:10, then the percentage in profit is?
a. 11%
b. 10%
c. 11.1/9%
d. 9%