1. In a triangle ABC, AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm. Find CD.

38.3 cm

8.33 cm

33.8 cm

38.8 cm

2. A shopkeeper offers 15% discount on all plastic toys. He offers a further discount of 4% on the reduced price to those customers who pay cash. What does a customer have to pay in cash for a toy of ₹ 200?

₹ 162.20

₹ 163.20

₹ 123.60

None of these

3. The sum of the reciprocals of the ages of two brothers is five times the difference of the reciprocals of their ages. If the ratio of the product of their ages to the sum of their ages is 14.4 : 1, find their ages. 

24 yrs, 18 yrs

24 yrs, 30 yrs

24 yrs, 36 yrs

24 yrs, 12 yrs

4. The three vertices of a parallelogram taken in order are (–1, 0), (3, 1) and (2, 2) respectively. The coordinate of the fourth vertex is

(1, 2)

(1,1)

(–2, 1)

(3, -2)

5. 40% of the students of a college are from West Bengal and out of this, 40% are from Kolkata. What percent of the students are not from Kolkata?

60

84

16

40

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