**Q1. ****A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank, the leak takes 15 hours to empty the tank. How many liters of water does the tank hold ? **

(a) 2400 L

(b) 4500 L

(c) 1200 L

(d) 7200 L

**Q2. **

** **

** **

(a) 1 – tan θ – cot θ

(b) 1 + tan θ – cot θ

(c) 1 – tan θ + cot θ

(d) 1 + tan θ + cot θ

**Q3. **

** **

** **

(a) -√3

(b) 1/√3

(c) 1

(d) √3

**Q4. **

** **

(a) 2/5

(b) 5/2

(c) 3/5

(d) 1/2

**Q5. **

** **

(a) 625/16

(b) 625/8

(c) 625/32

(d) 16/625

**Q6. ****A train is moving at a speed of 132km/hr. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long? **

(a) 5 second

(b) 7.5 seconds

(c) 10 seconds

(d) 15 seconds

**Q7. ****Two trains of same length, are running on parallel tracks in the same direction with speed of 60 km/hr. and 90 km/hr. respectively. The latter completely crosses the former in 30 seconds. The length of each train ( in meters ) is **

(a) 125

(b) 150

(c) 100

(d) 115

**Q8. **

** **

(a) 4

(b) 5

(c) 6

(d) 7

**Q9. **

** **

(a) a = 2, b = 12

(b) a = 12, b = 2

(c) a = 2, b = – 12

(d) a = – 2, b = 12

**Q10. ****Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest each for two years. If his total interest was Rs. 760, what amount was lent in each case **

(a) Rs. 1700

(b) Rs. 1800

(c) Rs. 1900

(d) Rs. 2000

**Q11. ****The students in three classes are in the ratio 2 : 3 ****:**** 5. If 40 students are increased in each class, the ratio changes to 4: 5: 7. Originally, The total number of students was : **

(a) 100

(b) 180

(c) 200

(d) 400

**Q12. ****A and B together can complete a piece of work in 8 days, B alone can complete that work in 12 days. B alone worked for four days. After that how long will A alone take to complete the work ? **

(a) 15 days

(b) 18 days

(c) 16 days

(d) 20 days

**Q13. ****If the cost price of 10 articles is equal to the selling price of 8 articles, then gain percent is **

(a) 10%

(b) 8%

(c) 50%

(d) 25%

**Q14. The perimeter of the floor of a room is 18 m. What is the area of the walls of the room if the height of the room is 3 m? **

(a) 21m^{2}

(b) 42m^{2}

(c) 54 m^{2}

(d) 108 m^{2}

**Q15. ****If a number is divisible by both 11and 13, then it must be necessarily: **

(a) divisible by (11 + 13)

(b) divisible by (13 – 11)

(c) divisible by (11 x 13)

(d) 429

**1.** d **2.** d **3.** d **4.** b **5.** a **6.** b **7.** a **8.** d **9.** c **10.** d **11.** c **12.** c **13.** d **14.** c **15.** c