Reasoning: Maximum points of intersection between n different circles = n*(n - 1) = 20*19 = 380
Ans: (A)
Question: There are different 20 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 380
(B) 200
(C) 110
(D) 180
(E) 200
Rationale: D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T = 250/10 = 25 se
The answer: (C)
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 22 sec
(B) 77 sec
(C) 25 sec
(D) 18 sec
(E) 17 sec
Reasoning: Number of newborns that can die in first month = 1/10 * 300 = 30
Survived = 270
Number of newborns that can die in second month = 1/10 * 270 = 27
Survived = 243
Number of newborns that can die in third month = 1/10 * 243 = 24
Survived = 219
Ans: (A)
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 300 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 219
(B) 246
(C) 252
(D) 262
(E) 270
Rationale: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000
The answer: (B)
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 30229
(B) 3000
(C) 278
(D) 274
(E) 287
Reasoning: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 18 = 300 m
Ans: (C)
Question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Options:
(A) 118
(B) 150
(C) 300
(D) 258
(E) 191
Reasoning: If x = 2 then f(x) = 16/15 and f(1/x) = -16/15 which is equal to -f(x)
Ans: (E)
Question: If f(x) = x^4/(x^4 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) f(x)
(B) 1/-f(x)
(C) -2/-f(x)
(D) -3/-f(x)
(E) -f(x)