6. The flag on top of a pole cast a shadow over a nearby hemispherical dome with the tip of the shadow falling 10 m away from the dome. If the base of the pole was 20 m away from the diametric opposite end of the dome, and the height of the pole was 50 m, what would be the height of the dome?
a. 20m
b. 5 + 5 root 11
c. 5 root 11
d. 9+ root 5
View Answer
Ans. a
7. Three teachers P, Q, R were talking about six students A, B, C, D, E and F who wrote an examination in Physics.
P predicted that B, D, A and C would get 1st, 2nd, 3rd and 4th ranks respectively and the other two would fail.
Q predicted that E,B A and F would get 1st, 2nd, 3rd and 4th ranks respectively and the other two would fall.
R predicted that A, D, F and E would get 1st, 2nd, 3rd and 4th ranks respectively and the other two would fail.
When the results were announced, it was found out that:
Exactly two persons got the same ranks as predicted by P, one student got the same rank as predicted by Q and one student got the same rank as predicted by R.
Exactly two students, who were predicted to pass by P, failed.
Exactly, one student, who was predicted to pass by Q failed. Exactly one student, who was predicted to pass by R failed.
Who got the fourth rank?
a. E
b. C
c. F
d. B
View Answer
Ans. c
8. In a group of 50 people, 40 speak Hindi and 22 speak English, and all of them speak at least one of the 2 languages. Find the number of people who speak English but not Hindi
a. 22
b. 15
c. 12
d. 10
View Answer
Ans. c
9. The length, breadth and height of a room are in the ratio 3:2:1. If the breadth and height are halved while the length is doubled, then the total surface area of the four walls of the room will
a. Remain the same
b. Decrease by 13%
c. Decrease by 30%
d. Decrease by 15%
View Answer
Ans. c
10. A wire bent in the form of a circle encloses and area of 616 sq. cms. If the same wire is bent in the form of a square what will be the area enclosed by it?
a. 324 sq. cms
b. 484 sq. cms
c. 488 sq. cms
d. 576 sq. cms
View Answer
Ans. b
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