What is the local value of 7 in the difference of 100889 and local value of 3 in 28943712?
Options:
(A) 7000
(B) 700
(C) 70000
(D) 70
(E) 7

100889 - (Local value of 3) = 100889 - 3000 = 97889
Local value of 7 in 97889 = 7000 So the answer is: (A).

In a race with 30 runners where 8 trophies will be given to the top 8 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Options:
(A) 8^8 ways
(B) 8^9 ways
(C) 7^8 ways
(D) 8^7 ways
(E) 8^6 ways

8 people can be prized with 8 distinct prizes in 8^8 ways So the answer is: (A).

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Options:
(A) 279
(B) 283
(C) 308
(D) 318
(E) 328

Other number = (11 x 7700)/275 = 308. So the answer is: (C).

A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
(A) 40
(B) 48
(C) 45
(D) 50
(E) 25
D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec So the answer is: (B).