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2) If three metallic spheres of radii 6 cms, 8 cms and 10 cms are melted to from a single sphere, the diameter of the new sphere will be:

3) Sixty men can build a wall in 40 days, but though they begin the work together, 5 men quit every ten days. The time needed to build the wall is:

4) Shyam is travelling on his cycle and has calculated to reach point 'A' at 2 PM If he travels at 10 kmph. he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach point 'A' at 1 PM:

5) An aeroplane travelling at 700 km. p. h. in level flight drops a bomb from a height of 1000 metres on a target. The time taken from releasing the bomb to hitting the target is nearest to the figure:

6) In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks. What was the average marks of the remaining students of the class

total marks of all students = 80 *100 = 8000 no. of students

10% students scored= 95 marks

total marks of 10% students = 95 * (10/100*100) = 950

similarly,

total marks of 20% students = 90*20 = 1800

marks of remaining students = 8000-1800-950 = 5250 which are the total marks of remaining students

remaining students = 70

Av. of remaining= 5250/70

= 75 ANS.

area of an equilateral triangle, A = √3a^2/4 where a is the length of a side

Area as a function of x, A(x) = √3a^2/4

A'(x) = √3a/2

when a=12, A'(x) = √3 * 12/2 = 6√3

Required rate = 6√3 cm

^{2}/min

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