**Q1. ****A man crosses a road 250 meters wide in 75 seconds. His speed in km/hr is **** **

(a) 10

(b) 12

(c) 12.5

(d) 15

**Q2. ****A bus moving at a speed of 45 km/hr. overtakes a truck 150 meters ahead going in the same direction in 30 seconds. The speed of the truck is **** **

(a) 27 km/hr

(b) 24 km/hr

(c) 25 km/hr

(d) 28 km/hr

**Q3. **

** **

(a) 3

(b) 10

(c) 14

(d) 20

**Q4. **

** **

(a) 99

(b) 12

(c) 24

(d) 100

**Q5. ****A sum of Rs. 1600 gives a simple interest of Rs. 252 in 2 years and 3 months. The rate of interest per annum is:**** **

(a) 11/2%

(b) 8%

(c) 7%

(d) 6%

**Q6. ****Rs.180contained in a box consists of one rupee,50 paise and 23 paise coins in the ratio 2 : 3 : 4.What is the number of 50 piece coins?**** **

(a) 60

(b) 110

(c) 150

(d) 180

**Q7. ****A and B can do a piece of work in 12 days. B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in : **

(a) 5 days

(b) 47/6

(c) 10 days

(d) 47/5 days

**Q8. ****The cost price of 18 articles is equal to the selling price of 15 articles, The gain percent is: **** **

(a) 15%

(b) 20%

(c) 25%

(d) 18%

**Q9. The perimeter of a square and a circular field are the same. If the area of the circular field is 3850 sq meter. What is the area (in m ^{2}) of the square? **

(a) 4225

(b) 3025

(c) 2500

(d) 2025

**Q10. ****If 5432*7 is divisible by 9 then the digit in place of * is **

(a) 0

(b) 1

(c) 6

(d) 9

**Q11. ****Half of 1 percent, written as a decimal, is: **

(a) 0.2

(b) 0.02

(c) 0.005

(d) 0.05

**Q12. ****A man can row 6 km/hr in still water. If the speed of the current is 2 km/hr, it takes 4 hours more in upstream than in the downstream than in the downstream for the same distance. The distance is **

(a) 30 km

(b) 24 km

(c) 20 km

(d) 32 km

**Q13. ****At what rate per cent per annum will Rs. 2304 amount to Rs. 2500 in 2 years at compound interest? **

(a) 9/2%

(b) 21/5 %

(c) 25/6%

(d) 13/3%

**Q14. ****A discount of 14% on the marked price of an article is allowed and then the article is sold for 387. The marked price of the article is **

(a) Rs. 450

(b) Rs.427

(c) Rs. 500

(d) Rs. 440

**Q15. ****The elevation of the top of a tower from a point on the ground is 45°. On travelling 60 m from the point towards the tower the elevation of the top becomes 60°. The height of the tower (in meters) is **

(a) 30

(b) 30 (3-√3)

(c) 30 (3+√3)

(d) 30√3

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

**Q1. ****The length of two chords AB and AC of a circle are 8 Cm and 6 cm and ****∠****BAC = 90°, then the radius of circle is **

(a) 25 cm

(b) 20 cm

(c) 4 cm

(d) 5 cm

**Q2. ****ABCD is a cyclic trapezium with AB || DC and AB is a diameter of the circle. If ****∠**** CAB = 30°, then ****∠****ADC is **

(a) 60°

(b) 120°

(c) 150°

(d) 30°

**Q3. ****The least number, which when divided by 4, 5 and 6 leaves remainder 1,2 and 3 respectively, is: **

(a) 57

(b) 59

(c) 61

(d) 63

**Q4. A mixture of 80 litres of wine and water contains 60 percent wine how much water must be added to make it 50 percent wine in the new mixture? **

(a) 16 litres

(b) 1.6 litres

(c) 18 litres

(d) 20 litres

**Q5. ****X and Y entered into a partnership investing Rs. 16,000 and Rs. 2,000 respectively. After 3months X withdrew Rs. 5000, while Y invest Rs. 5000 more. After 3 months, Z joins the business with a capital of Rs. 21,000. After a year they obtained a profit of Rs 26,400. By what amount does exceed the share of Z. **

(a) Rs. 3600

(b) Rs. 3800

(c) Rs. 4600

(d) Rs. 4800

**Q6. ****A boy and girl together fill a cistern with water. The boy pours 4 liters of water every 3 minutes and the girl pours 3 liters of water every 4 minutes. How much time will it take fill 100 litres of water in the cistern **

(a) 36 minutes

(b) 42 minutes

(c) 48 minutes

(d) 44 minutes

**Q7. **

** **

** **

(a) x – y

(b) x + y

(c) x-y/√x^{2}+y^{2}

(d) y-x/√x^{2}+y^{2}

**Q8. **

** **

** **

(a) sin α/2

(b) cos α/3

(c) sin α/3

(d) cos2α/3

**Q9. **

** **

(a) 0

(b) 1

(c) 9/20

(d) 10

**Q10. **

** **

(a) √6 – √2

(b) √6 + √2

(c) √6 – 2

(d) 2 – √6

**Q11. ****A man observed that a train 120 m. long crossed him in 9 seconds, The speed (in km/hr) of the train was **

(a) 42

(b) 45

(c) 48

(d) 55

**Q12. ****A thief steals a car at 1.30 p.m., and drives it off at 40 km/hr. The theft is discovered at 2 P.M. and the owner sets off in another car at 50 km/hr, he will overtake the thief at **

(a) 5 p.m.

(b) 4 p.m.

(c) 4.30 p.m.

(d) . 6 p.m.

**Q13. **

** **

(a) 1.0

(b) 0.5

(c) 0.6

(d) 1.1

**Q14. **

** **

(a) 18

(b) 36

(c) 24

(d) 16

**Q15. ****If the annual rate of simple interest increases from 10% to 25.2 %, a man’s yearly income increases by Rs. 1250. His principal (in rupees) is **

(a) 50,000

(b) 45,000

(c) 60,000

(d) 65,000

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