q: In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is
Options:
(A) 3
(B) 7
(C) 10
(D) 12
(E) 15
a: Stream of consciousness: 1-1/4 = remain cake 3/4
3/4*3 = 9/4
9/4+1/4 = 10 The answer is (C).


question: Assisants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hour. The kitchen is available for 3hours and 20 large cakes and 700small cakes are needed. How many helpers are required?
Options:
(A) 9
(B) 10
(C) 13
(D) 16
(E) 18
answer: Stream of consciousness: 20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers. The answer is (B).


q: A train 400 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 56
(C) 29
(D) 27
(E) 21
a: Stream of consciousness: S = (400 + 300)/45 = 700/45 * 18/5 = 56 The answer is (B).


question: Two trains are moving at 45kmph 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) 40/6 sec
(B) 43/6 sec
(C) 47/6 sec
(D) 40/3 sec
(E) 40/7 sec
answer: Stream of consciousness: 70 + 45 = 115 * 5/18 = 575/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/575 = 15/2 = 47/6 se The answer is (C).


q: The average age of 6 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 24
(B) 25
(C) 26
(D) 27
(E) 28
a: Stream of consciousness: 20 + 24 + 6 * 2 = 56/2 = 28 The answer is (E).


q: How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
Options:
(A) 120
(B) 150
(C) 160
(D) 180
(E) 200
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: 8:12 = 2:3
If 240 lrs of the 2nd variety taken then the 1st variety should be taken as 160 lr The answer is (C).