Rationale: 135 litres = 1/4 of tank
180 litres = 1/4 x 180/135 = 1/3
The answer: (B)
Question: One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?
Options:
(A) 1/2
(B) 1/3
(C) 1/5
(D) 1/6
(E) 1/4
Reasoning: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 50 - {both} + 40
{both} = 15%.
Ans: (D)
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
(A) 60%
(B) 50%
(C) 25%
(D) 15%
(E) 10%
Rationale: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 190 = 550 m
Required time = 550 * 2/25 = 44 sec
The answer: (E)
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?
Options:
(A) 40 sec
(B) 11 sec
(C) 88 sec
(D) 19 sec
(E) 44 sec
Reasoning: Increase = (30/60)*100 = (3/6)*100 = 50%.
Ans: (B)
Question: John makes $60 a week from his job. He earns a raise and now makes $90 a week. What is the % increase?
Options:
(A) 16%
(B) 50%
(C) 17%
(D) 17.61%
(E) 17.56%
Rationale: Total boxes = 23
Filled with toys = 16
Filled with appliance = 7
Total boxes for sale = 8
Toy boxes for sale = 4
Appliance boxes for sale = 4
Appliance boxes not for sale = 7 - 4 = 3
The answer: (C)
Question: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 4 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Options:
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.
Rationale: 3/8 * 2/7 = 6/56
1-(6/56) = 50/56 = 25/28
The answer: (D)
Question: A shipment of 8 TV sets contains 5 black and white sets and 3 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
Options:
(A) 1/7
(B) 1/4
(C) 5/14
(D) 25/28
(E) 13/28