**Q1. The sides AB and AC of ∆ ABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. if ∠A=72° . then the measure of ∠P is: **

(a) 36°

(b) 45°

(c) 60°

(d) 54°

**Q2. **

(a) 32

(b) 30

(c) 28

(d) 35

**Q3. The value of is:**

(a) 2

(b) 1

(c) 3/2

(d)1/2

**Q4. In ∆ ABC, D is a point on side AB such that BD =2 cm and DA = 3 cm. E is a point on BC such that DE || AC, and AC=4 cm. Then (area of ∆BDE):(Area of trapezium ACED) is: **

(a) 4:21

(b) 2:5

(c) 1:5

(d)4:25

**Q5. The given Bar Graph Presents the number different types of vehicles (in lakhs) exported by a company during 2014 and 2015.**

**The average number type A, B and D vehicles exported in 2015 was x% less than the number of type E vehicles exported in 2014. What is the value of x?**

(a) 18

(b) 24

(c) 20

(d) 25

**Q6. If cos²θ – sin²θ – 3cosθ + 2 = 0, < θ < 90°, then what is the value of 4cosecθ + cotθ ? **

**Q7. If a² + 4b² + 49c² + 18 = 2(2b+28c-a), then the value of (3a + 2b +7c) is : **

(a) 0

(b) 2

(c) 1

(d) 3

**Q8. Two trains of same length are running on parallel tracks in the same direction at 54 km/h and 42 km/h respectively. The faster train passes the other in 63 seconds . What it the length (in meters) of each train ? **

(a) 90

(b) 81

(c) 105

(d) 210

**Q9. Two concentric circles are of radii 15 cm and 9 cm. what is the length of the chord of the larger circle which is tangent to the smaller circle? **

(a) 24 cm

(b) 18 cm

(c) 20 cm

(d) 25 cm

**Q10. The simple interest on a certain sum for year at 10% per annum is Rs. 2,940. What will be the compound interest on the same sum for year at the same rate when interest is compounded yearly (nearest to a rupee) ? **

(a) Rs. 2,272

(b) Rs. 2,227

(c) Rs. 2,327

(d) Rs. 2,372

**Solutions:**

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