**Q1. ****If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9thena : c isequal to **

(a) 1 : 3

(b) 2: 3

(c) 3 : 2

(d) 1 : 2

**Q2. ****A and B can do a piece of work in 15 days, B and C can do the same work in 10 days and A and C can do the same in 12 days. Time taken by A, B and C together to do the job is: **

(a) 8 days

(b) 4 days

(c) 9 days

(d) 5 days

**Q3. ****A book seller sells a book at a profit of 10%. If he had bought it at 4% less and sold it for Rs. 6 more. He would have gained 75/4 %. The cost price of the book is **

(a) Rs. 130

(b) Rs. 140

(c) Rs. 150

(d) Rs. 160

**Q4. The area of the largest triangle that can be inscribed in a semicircle of radius r cm, is **

(a) 2r cm^{2}

(b) r^{2} cm^{2}

(c) 2cm^{2}

(d) 1 /2 r^{2}cm^{2}.

**Q5. **** A number when divided successively by 4 and 5 leave the remainder 1 and 4 respectively. When it is successively divided by 5 and 4 the respective remainders will be : **

(a) 4, 1

(b) 3, 2

(c) 2, 3

(d) 1, 2

**Q6. ****If P % of P is 36, then P is equal to : **

(a) 3600

(b) 600

(c) 60

(d) 15

**Q7. **** A man can row boat at 5 kmph in still water. If the velocity of current is 1 kmph and he takes 1 hour to row to a place and come back, how far is the place ? ? **

(a) 2.5 km

(b) 3 km

(c) 2.4 km

(d) 3.6 km

**Q8. ****The compound interest on Rs. 10000 in 2 years at 4% per annum, the interest being compound half-yearly is: **

(a) Rs.636.80

(b) Rs. 824.32

(c) Rs. 912.86

(d) Rs. 825.82

**Q9. ****The printed price of an article is Rs. 900 but the retailer gets a discount of 40%. He sells the article for Rs. 900. Retailer’s gain per cent is : **

(a) 40%

(b) 60%

(c) 200/3%

(d) 205/3%

**Q10. ****Two poles of equal height are standing opposite to each other on another side of a road which is 100m wide, From a point between them on road, angle of elevation of their tops are 30° and 60° the height of each pole ( in meter) is **

(a) 25√3

(b) 20 √3

(c) 28 √3

(d) 30 √3

**Q11. **** O and C are respectively the orthocenter and the Circumcenter of an acute-angled triangle PQR. The points P and O are joined and produced to meet the side QR at S.If a ****∠****PQS= 60° and ****∠**** OCR = 130°, then ****∠****RPS = **

(a) 30°

(b) 35°

(c) 100°

(d) 60°

**Q12. ****In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is **

(a) 120°

(b) 60°

(c) 30°

(d) 90°

**Q13. ****The least number, which when divided by 12, 15, 20 or 54 leaves remainder of 4 in each case is: **

(a) 456

(b) 454

(c) 540

(d) 447.

**Q14. In what ratio must a grocer mix tea at Rs.60 a kg, and Rs.65 a kg, so that by selling the mixture at Rs. 68.20 a kg, he may gain 10% **

(a) 3:2

(b) 3 :4

(c) 3:5

(d) 4:5

**Q15. ****A started a business with Rs. 52,000 and after 4 months B joined him with Rs. 39,000. At the end of the year out of the total profit B received total 20,000 including 25% of the profit as commission for managing. What amount did A receive **

(a) Rs 20,000

(b) Rs 10,000

(c) Rs15,000

(d) None of these

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