**Q.1)** If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x – 3) cm, AE = (x + 3) cm and EC = (x – 2) cm, then what is the value (in cm) of x?

1) 3

2) 3 .5

3) 4

4) 4 .5

**Q.2**) What is the simplified value of tan (θ/2) + cot (θ/2)?

1) 2 cosec θ

2) 2 sec θ

3) sin θ

4) cosec θ

**Q.3)** What is the quotient when 7251 is divided by 66?

1) 110

2) 109

3) 111

4) 112

Q.4) What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

1) 20

2) 10

3) 5

4) 15

Q.5) If medians of a triangle have lengths 18 cm, 24 cm and 30 cm, then what is the area (in cm2) of the triangle?

1) 24√6

2) 244

3) 288

4) 360

**Q.6) ** A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?

1) 66

2) 61

3) 62

4) 64

**Q.7)** Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, then what is the area of the bigger circle which is not enclosed by the two smaller circles (in cm2)?

1) 154

2) 256

3) 308

4) 616

Q.8) Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

1) 90

2) 45

3) 60

4) 75

**Q.9**) A shopkeeper marks up his wares by 60% and offers 25% discount. What will be the selling price (in **₹**) if the cost price is **₹** 1600?

1) 1920

2) 2000

3) 2120

4) 2200

Q.10) What is the area (in sq cm) of a rectangle if its diagonal is 25 cm and one of its sides is 24 cm?

1) 186

2) 144

3) 132

4) 168