(a) 35.6 metre
(b) 36.6 metre
(c) 37.6 metre
(d) 46.6 metre
Q2. Two circles with centres A and B of radii 3 cm and 4 cm respectively intersect at two points C and D such that AC and BC are tangents to the two circles. Find the length of common chord CD.
(a) 4.4 cm
(b) 4.3 cm
(c) 4.5 cm
(d) 4.8 cm
Q7. The internal bisector of ∠ABC & ∠ACB of ∆ABC meet each other at O. If ∠BOC = 110°, then ∠BAC is equal to
(a) 40°
(b) 80°
(c) 110°
(d) 55°
Q8. A took 15 sec to cross a rectangular field diagonally walking at the speed of 52 m/min & B took the same time to cross the same field along its sides walking at the speed of 68 m/min. The area of the field is:→
(a) 30 m²
(b) 40 m²
(c) 80 m²
(d) 60 m²
Q9. A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?
(a) 25
(b) 75
(c) 50
(d) 125
Q10. Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 second, 360 seconds & 450 seconds to complete one round. After how much time do they meet at the starting point for the 1st time?
(a) 1800 sec
(b) 3600 sec
(c) 2400 sec
(d) 4800 sec
Q11. A cooker is sold at a gain of 16%. If it had been sold for Rs. 20 more, 20% would have been gained. The cost price of the cooker is:
(a) 350 Rs.
(b) 400 Rs.
(c) 500 Rs.
(d) 600 Rs.
Q12. A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 264 meters long in 20 seconds. The length of the train is:
(a) 188
(b) 176
(c) 175
(d) 96
Q13. A can do a piece of work is 12 days while B alone can do it is 15 days. With the help of C they can finish the work in 5 days. If they are paid Rs. 960 for the whole work. How much money A gets?
(a) Rs. 480
(b) Rs. 240
(c) Rs. 320
(d) Rs. 400
Q14. A & B can do a piece of work is 8 days, B & C can do the same work in 12 days & A, B, C complete it in 6 days. No of days required to finish the work by A & C is.
(a) 24
(b) 8
(c) 16
(d) 12
Q15. In a class, the no. of girls is 20% more than that of the boys. The strength of the class is 66. If 4 more girls are admitted to the class, the ration of the number of boys to that of the girls is:
(a) 1 : 2
(b) 3 : 4
(c) 1 : 4
(d) 3 : 5
