Rationale: Profit = q
Profit to company founder = q/3
Profit to other partners = 2q/3
Number of other partners = 4
Profit to each partner = (2q/3)/4 = q/6
The answer: (D)
Question: Last year, Company X made q dollars in profit. One thrid of the profit went to the company's founder. The rest was split evenly among his four other partners. In terms of q, how much did each of the other partners receive?
Options:
(A) q/4
(B) q/5
(C) q/8
(D) q/6
(E) q/7
Reasoning: Probability that trouser is not grey = 2/3
Probability that shirt is not grey = 3/4
Required probability = 2/3 x 3/4 = 1/2
Ans: (A)
Question: Marry has 3 trousers in cupboard. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his cupboardin the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Options:
(A) 1/2
(B) 2/3
(C) 3/5
(D) 5/7
(E) 5/8
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 18 = 300 m
The answer: (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: Speed = 72 * 5/18 = 20 m/sec
Time taken = 200/20 = 10 sec.
Ans: (D)
Question: In what time will a bus 200 m long cross in the road, if its speed be 72 km/hr?
Options:
(A) 15
(B) 20
(C) 14
(D) 10
(E) 12
Rationale: Final number = Initial number + 12%(original number) = 60 + 12%(60) = 60 + 7 = 67
The answer: (B)
Question: A light has a rating of 60 watts, it is replaced with a new light that has 12% higher wattage. How many watts does the new light have?
Options:
(A) 105
(B) 67
(C) 80
(D) 60
(E) 100
Rationale: Number = (12 * 35) = 420
Correct quotient = 420/21 = 20
The answer: (D)
Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?
Options:
(A) 0
(B) 12
(C) 13
(D) 20
(E) 22