**Q1. ****A and B have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4. If they save Rs 1800 and Rs.1600 respectively, find the monthly income of B **

(a) Rs 3400

(b) Rs. 2700

(c) Rs. 1720

(d) Rs. 7200

**Q2. ****A, B and C individually can do a piece of work in 10 days, 12 days and 15 days respectively, If they start working together, then the number of days required to finish the work is: **

(a) 16 days

(b) 8 days

(c) 4 days

(d) 2 days

**Q3. ****A man sells 320 mangoes at the cost price of 400 mangoes. His gain percent is: **

(a) 15

(b) 20

(c) 25

(d) 10

**Q4. The area of the square inscribed in a circle of radius 8 cm is **

(a) 256 sq. cm

(b) 250 sq. cm

(c) 128 sq. cm

(d) 125 sq. cm

**Q5. **** The sum of first 20 odd natural number is equal to: **

(a) 210

(b) 300

(c) 400

(d) 420

**Q6. ****If 60% of the students in a school are boys and the number of girls is 972, how many boys are there in the school? **

(a) 1258

(b) 1458

(c) 1324

(d) 1624

**Q7. ****In a fixed time, a boy swims double the distance along the current that he swim against the current. If the speed of the speed current is 3 km/ hr, the speed of the boys in still water is : **

(a) 6 km/hr

(b) 9 km/hr

(c) 10 km/hr

(d) 12 km/hr

**Q8. ****A certain sum, invested at 4% per annum compound interest compounded half yearly, amounts is Rs. 7803 at the end of one year. The sum is: **

(a) Rs. 7000

(b) Rs. 7200

(c) Rs. 7500

(d) Rs. 7700

**Q9. ****The marked price of an electric iron is Rs. 300. The shopkeeper allows a discount of 12% and still gains 10%. If no discount is allowed, his gain per cent would have been: **

(a) 20%

(b) 25%

(c) 27%

(d) 30%

**Q10. ****Two post are x meters apart and the height of one is double that of the other. If from the mid-point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height (in meters) of the shorter post is **

(a) x/2√2

(b) x/4

(c) x√2

(d) x/2

**Q11. ****For a triangle base is 6√3 cm and two base angles are 30° and 60°. Then height of the triangle is **

(a) 3√3 cm

(b) 4.5cm

(c) 4√3 cm

(d) 2√3cm

**Q12. ****The maximum number of common tangents drawn to two circles when both the circles touch each other externally is **

(a) 1

(b) 2

(c) 3

(d) 0

**Q13. **** The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is: **

(a) 127

(b) 133

(c) 235

(d) 305

**Q14. The ratio in which two sugar solutions of the concentrations 15% and 40% are to be mixed to get a solution of concentration 30% is: **

(a) 2:3

(b) 3:2

(c) 8:9

(d) 9:8

**Q15. ****A starts a business with Rs. 45,000. After 6 months B enters in his business with Rs. 80,000. After one year C invests Rs. 120,000. In what ratio the profit will be divided among A, B and C after two years? **

(a) 9 : 16 : 24

(b) 3 : 4 : 4

(c) 3 : 4 : 8

(d) 3 : 3 : 8

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