Question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 4556
(B) 2354
(C) 4576
(D) 6768
(E) 5184
Answer: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
The answer is (E).

Question: The average height in a group of 4 people is 175 cm. If the average height increased when 2 more people were added to the group, which of the following cannot be the heights of the two new people?
Options:
(A) 179 cm and 172 cm
(B) 181 cm and 169 cm
(C) 173 cm and 178 cm
(D) 176 cm and 176 cm
(E) 174 cm and 177 cm
Answer: Denote X as the sum of the heights of the two new people. From the stem it follows that (700+X)6>175. This reduces to X>350. Only the heights from B add up to 350 cm. All other pairs add up to more than 350 cm.
The answer is (B).

Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 10000
(B) 297
(C) 9279
(D) 2767
(E) 2676
Answer: 100 * 100 = 10000
125 * 80 = 10000
The answer is (A).

Question: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Options:
(A) 100 m
(B) 190 m
(C) 115 m
(D) 110 m
(E) 150 m
Answer:
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 6 = 100 m
The answer is (A).