**Q2. The highest common factor of three numbers is 24. If these numbers are in the ratio of 35 : 35 : 77 then what is the smallest number ?**

(a) 420

(b) 210

(c) 840

(d) 1680

**Q3. The sides BC, CA and AB, of a ∆ABC are produced in order, forming exterior angle ACD,BAE,and CBF, then**

**Angle ACD+BAE+CBF is equal to:**

(a) 540°

(b) 360°

(c) 180°

(d) None of these

**Q4. An item having Rs. 840 as cost price is sold at 10% profit and the new buyer sold it at 5% loss. The marked price of the item (in rupees) is**

(a) 877.80

(b) 798

(c) 924

(d) 37.80

**Q5. If 3sinθ + 5cosθ= 5 then 5sinθ-3cosθ=? **

(a) 3

(b) –3

(c) 4

(d) ± 3

**Q6. Two companies offer a successive discount of 10%, 10%, 30% and 40%, 5%, 5% respectively on a product of marked price Rs. 10,000. What is the extra saving after selection the butter option?**

(a) Rs. 205

(b) Rs. 355

(c) Rs. 155

(d) Rs. 255

**Q7. If secθ=x+1/4x then secθ+tanθ=?**

(a) 2x

(b) 1/2x

(c) 2x or 1/2x

(d) None of these

**Q8. If sec4A=cosec (A-20°) Where 4A is an acute angle, then find the value of A.**

(a) 21°

(b) 20°

(c) 24°

(d) 22°

**Q10. In a circle with centre O, AOC is a diameter of the circle, BD is a chord and OB and CD are joined. If angle AOB=130°then angle BDC=?**

(a) 30°

(b) 25°

(c) 50°

(d) 60°

**Q11. In a partnership, A invests 1/4 of the capital of 1/3 of time, B invests 1/6 of the capital for 1/4 of time and C invests rest of the capital for the whole time. Out of total profit of Rs. 9,962; A’s share is**

(a) 1,172

(b) 1,586

(c) 2,804

(d) 4,102

*Directions (12– 14): The pie chart given below shows the expenses of a family on various items and its savings during the year 2001. Study the graph and answer question number 46 to 50.*

A: FOOD

B: SAVINGS

C: OTHER ITEMS

D: TRANSPORT

E: EDUCATION

F: HOUSING OF CHILDREN

G: CLOTHING

**Q12. What percent of the income was spent on transport and other items together?**

(a) 25%

(b) 20%

(c) 30%

(d) 32%

**Q13. If the total income of the family was Rs. 100000, how much money was spent on the education of children?**

(a) Rs. 10000

(b) Rs. 12000

(c) Rs. 15000

(d) Rs. 23000

**Q14. If the total income for the year was Rs. 100000, the difference of the expenses (in rupees) between Housing and transport was**

(a) 15000

(b) 12000

(c) 7000

(d) 10000

**Q15. In a circle of radius 17 cm, two parallel chords are drawn on opposite sides of a diameter. The distance between the chords is 23 cm. If the length of one chord is 16 cm, then the length of the other is:**

(a) 23 cm

(b) 30 cm

(c) 15 cm

(d) None of these