Rationale: Others are requal to 4x2 + 9y2 + 12xy.
The answer: (B)
Question: Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) (2x + 3y) 2
(B) (2y x) 2 + y(16x + 5y)
(C) 4x(x + 2y) + y(4x + 9y)
(D) (2x + 2y) 2 + y(4x + 5y)
(E) (2x y) 2 + 8y(2x + y)
Reasoning: 100 * 100 = 10000
125 * 80 = 10000
Ans: (D)
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) 1288
(B) 1299
(C) 1000
(D) 10000
(E) 2887
Rationale: Let number of boys = x
Let number of girls = y
Therefore x/y = B and y/x = G
5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5
The answer: (A)
Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?
Options:
(A) Equal to 3
(B) Less than 5
(C) More than 5
(D) Less than 1/5
(E) none of these
Reasoning: The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 15. The other answer choices are too far apart so no need to calculate.
Ans: (B)
Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature to boil water at sea level altitude and to boil on top of Mt. Everest differed by 15 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Options:
(A) a) 65/9
(B) b) 7
(C) c) 25
(D) d) 45
(E) e) 81
Rationale: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by C in 3 minutes = 3/10
Required ratio = 3/10 * 20/11 = 6/11
The answer: (B)
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Options:
(A) 6/18
(B) 6/11
(C) 6/68
(D) 6/19
(E) 6/12
Rationale: 125 + 40 = 165/15 = 11 (Remainder)
The answer: (B)
Question: A no.when divided by 125 gives a remainder 40, what remainder will be obtainedby dividingthe same no.15?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14