**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

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