q: What is the are of an equilateral triangle of side 16 cm?
Options:
(A) 66√3 cm2
(B) 74√3 cm2
(C) 64√3 cm2
(D) 64√5 cm2
(E) 14√3 cm2
a: Stream of consciousness: Area of an equilateral triangle = √3/4 S2
If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2; The answer is (D).


question: The total number of apples and oranges in the refrigerator is 7 more than the total number of oranges and peaches in the refrigerator. How much lesser is the number of peaches in the refrigerator as compared to apples?
Options:
(A) 2
(B) 8
(C) 7
(D) 6
(E) 4
answer: Stream of consciousness: (Apples + Oranges) - (Oranges + Peaches) = 7
Apples - Peaches = 7 The answer is (C).


q: X can finish a work in 24 days. Y can finish the same work in 16 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 3
(B) 5
(C) 6
(D) 8
(E) 9
a: Stream of consciousness: Work done by X in 1 day = 1/24
Work done by Y in 1 day = 1/16
Work done by Y in 10 days = 10/16 = 5/8
Remaining work = 1 – 5/8 = 3/8
Number of days in which X can finish the remaining work = (3/8) / (1/24) = 9 The answer is (E).


question: Which of the following is a prime number ?
Options:
(A) 90
(B) 94
(C) 96
(D) 97
(E) 98
answer: Stream of consciousness: Clearly, 97 is a prime number. The answer is (D).


q: In a school of 450 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 72
(B) 75
(C) 80
(D) 81
(E) 90
a: Stream of consciousness: 44 + 28 + 10 = 82%
100 – 82 = 18%
450 * 18/100 = 81 The answer is (D).


q: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
Options:
(A) 3 days
(B) 6 days
(C) 8 days
(D) 4 days
(E) 9 days
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: 12/ (2 * 2) = 3 days The answer is (A).