**Q1. ****If the circumradius of an equilateral triangle be 10 cm than the measure of its radius is ? **

(a) 5 cm

(b) 10cm

(c) 20 cm

(d) 15 cm

**Q2. **** ABC is an isosceles triangle with AB = AC, A circle through B touching AC at the middle point intersects AB at P. The AP : AB is : **

(a) 4: 1

(b) 2: 3

(c) 3 : 5

(d) 1 : 4

**Q3. ****The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is : **

(a) 46

(b) 48

(c) 50

(d) 566.

**Q4. How much pure alcohol to be added to 400 ml of a solution containing 35% alcohol to change the concentration of alcohol in the mixture to 32%, **

(a) 60 ml

(b) 100ml

(c) 128 ml

(d) 68 ml

**Q5. ****A, B and C started a business with their investments in the ratio 1 : 2 : 4. After 6 month A invested the half amount more as before and B invested same the amount as before. While C withdrew 1/4th of the their investments. Find the ratio of their profits at the end of the year. **

(a) 5: 12: 13

(b) 5 : 1: 14

(c) 5: 12: 14

(d) none of these

**Q6. ****A pipe of diameter ‘d’ can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter “2d” for doing the same job in : **

(a) 5 minutes

(b) 10 minutes

(c) 20 minutes

(d) 80 minutes

**Q7. **

** **

** **

(a) x = -y

(b) x>y

(c) x = y

(d) x < y

**Q8. **

** **

** **

(a) 1

(b) 1/2

(c) – 1

(d) 0

**Q9. **

** **

(a) 36.164

(b) 36.304

(c) 37.304

(d) 37.164

**Q10. **

** **

(a) 0.16

(b) 3

(c) 1/3

(d) 0.04

**Q11. ****The length of a train and that of a platform are equal. If with a speed of 90 km/hr the train crosses the platform in one minute. then the length of the train (in meters) is : **

(a) 500

(b) 600

(c) 750

(d) 900

**Q12. ****A passenger train 150m long is travelling with a speed of 36km/hr. If a nan is cycling in the direction of train at 9 km/hr., the time taken by the train to pass the man is **

(a) 10 sec

(b) 15 sec

(c) 18 sec

(d) 20 sec

**Q13. **

** **

(a) 5/9

(b) 2/7

(c) 10/9

(d) 10/7

**Q14. **

** **

(a) – 1

(b) 0

(c) 1

(d) 2

**Q15. ****The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent per annum. The rate per annum is: **

(a) 5%

(b) 20/3%

(c) 6%

(d) 36/5%

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

**Q1. ****By mistake instead of dividing Rs. 117 among, A,B,C. in the ratio ****1/2****: 1/3: 1/4 it was divided in the ratioof 2 : 3: 4.****Who gains the most andhow much. **

(a) (а) A, Rs. 28

(b) B, Rs. 3

(c) C, Rs. 20

(d) C, Rs. 25

**Q2. ****A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C and do it in 90 days. If In how many days all three together can do the work? **

(a) 80 days

(b) 100 days

(c) 60 days

(d) 150 days

**Q3. **** The ratio of cost price and selling price is 5 : 4, the loss percent is : **

(a) 20%

(b) 40%

(c) 25%

(d) 50%

**Q4. The perimeter of the top of a rectangular table is 28m., whereas its area is 48 m ^{2}. What is the length of its diagonal? **

(a) 5 m

(b) 10 m

(c) 12 m

(d) 12.5 m

**Q5. ****One -fourth of a tank holds 135 liters of water. What part of the tank is fill if contains 180 liters of water? **

(a) 2/5

(b) 2/3

(c) 1/3

(d) 1/6

**Q6. ****The time duration of 2 hour 45 minutes is what percent of day **

(a) 7.2.18%

(b) 11.45%

(c) 8.3%

(d) 8.24%

**Q7. ****Speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, the distance of the place is : **

(a) 3.75 km

(b) 4 km

(c) 4.8 km

(d) 4.25 km

**Q8. ****If the compound interest on a sum for 2 years at 25/2 % per annum is Rs. 510 the simple interest on the same sum at eh same rate for the same period of time is: **

(a) Rs. 400

(b) Rs. 480

(c) Rs. 450

(d) Rs. 460

**Q9. ****A shopkeeper sells his goods at 10% discount on the marked price. What price should he mark on an article that cost him Rs. 900 to gain 10% ? **

(a) 1275

(b) 1250

(c) 1175

(d) 1100

**Q10. ****From two points on the ground lying on a straight line, through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 meters and 16 meters and the two points lie on the same side of the pillar. Then the height of the pillar is **

(a) 5m

(b) 10m

(c) 9m

(d) 12m

**Q11. ****The radius of two concentric circles is 9 cm and 15 cm. If the chord of the greater circle be a tangent to the smaller circle, then the length of that chord is **

(a) 24 cm

(b) 12 cm

(c) 30 cm

(d) 18 cm

**Q12. ****ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. if ****∠**** ADC = 70° and ****∠**** DAB =60°, then the ****∠**** PBC + ****∠**** PCB is **

(a) 130°

(b) 150°

(c) 155°

(d) 180°

**Q13. **** Let the least number of six digits which when divided by 4, 6, 10, 15 leave in each case same remainder 2 be N. The sum of digits in N is: **

(a) 3

(b) 5

(c) 4

(d) 6

**Q14. In a mixture of 60 litres . The ratio of milk and water is 2: 1 . How much more water must be added to make its ratio 1:2? **

(a) 40 litres

(b) 52 litres

(c) 54 litres

(d) 60 litres

**Q15. ****X, Y and Z are partner in a business. If X’s capital is twice of Y’s capital and Z’s capital is three times to that of Z’s capital then find the ratio of their investments. **

(a) 6 : 3 : 1

(b) 3 : 8 : 1

(c) 4: 9: 3

(d) 3 : 1 : 5

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