Reasoning: Required time = (5 1/4)/3 + (5 1/4)/7 = 2 1/2 hours.
Ans: (E)
Question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Options:
(A) 2 1/0
(B) 2 1/8
(C) 2 1/5
(D) 2 1/3
(E) 2 1/2
Rationale: A Prime Number can be divided evenly only by 1 or itself
So 2 is prime number
The answer: (A)
Question: Is 2 a prime number or a composite number?
Options:
(A) prime number
(B) composite number
(C) both prime composite number
(D) Not prime composite number
(E) Don't Know
Reasoning: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Ans: (D)
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 7 1/8
(B) 7 1/6
(C) 7 1/5
(D) 7 1/2
(E) 7 1/1
Rationale: D = 120 + 150 = 270
S = 36 * 5/18 = 10 mps
T = 270/10 = 27 sec
The answer: (D)
Question: How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 17 sec
(B) 21 sec
(C) 25 sec
(D) 27 sec
(E) 29 sec
Reasoning: Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -
8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)
20 + 3*14 -8 * 4 = 27
Ans: (D)
Question: At 15:00 there were 21 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
Options:
(A) 7
(B) 14
(C) 25
(D) 27
(E) 30
Reasoning: I will go with A (pending elements to match is 2^2*2^2*11^1 = 176
Ans: (A)
Question: If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 176
(B) 288
(C) 363
(D) 396
(E) 484