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:
Q3. The value of is:
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:
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?
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 :
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 ?
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
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