TCS Company Numerical Ability Algebra

quantitative aptitude

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TCS Other Question

The identical circles intersect their centres,and the points at which they intersect,form a square of side 1 cm .the area in sq.cm of portion that is common to the two circles is :

a. sqrt 5
b. 4
c. pie/2-1
d. sqrt2-1
Q. A racehorse starts chasing a wild pony 3 hours after the pony bolts the stable. The pony runs through the entire country of Alb.Texas jumping 3 streams and crossing four 10 meter roads. The racehorse finally catches up with the pony after four hours by the time the sun had set and the moon was up in the sky for 4 hours. If the average speed of the racehorse is 73 kmph then average speed of the wild pony is ____ kmph.
a)54.75
b)42.71
c)31.29
c)41.71

6. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race? a. 8
37.80
5
40

ANS :37.80