Q1. The sum of the digits of a two- digit number is 9. If 9 is added to the number, then the digits are reversed. Find the number.
(a) 36
(b) 50
(c) 45
(d) 54

Q2. If a piece of rod is 3000 m and we have to supply some lampposts. One lamppost is at each end and distance between two consecutive lamppost is 75 m. Find the number of lampposts required.
(a) 41
(b) 39
(c) 40
(d) 43




Q5. A shopkeeper sells his goods at 15% discount. The marked price of an article whose selling price is Rs. 629, is
(a) Rs. 740
(b) Rs. 704
(c) Rs. 700
(d) Rs. 614

Q6. In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by
(a) 4.5 m
(b) 5.4 m
(c) 5 m
(d) 6 m

Q7. A cistern has two pipes. One can fill it with water in 8 hours and the other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when (3/4)th of the cistern is already full of water?
(a) 10/3 hours
(b) 6 hours
(c) 10 hours
(d) 40/3 hours

Q8. Ram, Shyam and Kamal together started a business in partnership. The ratio of their capitals is 3 : 4 : 7. If their annual profit be Rs. 21000, what will be Kamal’s share in this profit?
(a) Rs. 12500
(b) Rs. 10500
(c) Rs. 15000
(d) Rs. 10000

Q9. If the interest is payable annually, then the principal on which the compound interest for 3 years at 10% p.a. is Rs. 331, is given by:
(a) Rs. 900
(b) Rs. 1000
(c) Rs. 1050
(d) Rs. 1100

Q10. Fifteen years hence, a man will be just four times as old as he was 15 years ago. His present age is 
(a) 10 years
(b) 15 years
(c) 20 years
(d) 25 years

Q11. 9 years hence, a man will be just 4 times as old as he was 15 years ago. His present age is:
(a) 12 years
(b) 15 years
(c) 16 years
(d) 23 years

Q12. If the four equal circles of radius 3 cm touch each other externally, then the area of the region bounded by the four circles is
(a) 4(9 – 𝜋) sq. cm
(b) 9(4 – 𝜋) sq. cm
(c) 5(6 – 𝜋) sq. cm
(d) 6(5 – 𝜋) sq. cm

Q13. What part of a ditch 48 m long, 16.5 m broad and 4 m deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 m and length 56 m?
(a) 1/9
(b) 2/9
(c) 7/9
(d) 8/9

Q14. A man standing in one corner of a square football field observes that the angle subtended by a pole in the corner just diagonally opposite to this corner is 60°. When he retires 80 m from the corner, along the same straight line, he finds the angle to be 30°. The length of the field, in m, is:
(a) 10
(b) 20√2
(c) 20
(d) 40√2

Q15. Supposing that telegraph poles on a railway track are 50 metres apart. How many pole will be passed by a train in 2 hours. If the speed of the train is 45 km/hr
(a) 1801
(b) 1800
(c) 1601
(d) 1600