question: What is the are of an equilateral triangle of side 16 cm?
Options:
(A) 64√5
(B) 64√9
(C) 44√3
(D) 64√3
(E) 14√3
answer: 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).


q: The average of Suresh’s marks in English and History is 55. His average of marks in English and Science is 65. What is the difference between the marks which he obtained in History and Science?
Options:
(A) 40
(B) 60
(C) 20
(D) Data inadequate
(E) None of the above
a: Stream of consciousness: E + H = (55 × 2) = 110;
E + S = (65 × 2) = 130
∴ Reqd difference = 130 – 110 = 20 The answer is (C).


question: Find the largest 7 digit number which is exactly divisible by 88?
Options:
(A) 9998765
(B) 9998907
(C) 9999944
(D) 9999954
(E) 9999968
answer: Stream of consciousness: Largest 7 digit number is 9999999
After doing 9999999 ÷ 88 we get remainder 31
Hence largest 7 digit number exactly divisible by 88 = 9999999 - 31 = 9999968 The answer is (E).


q: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 8765
(B) 8907
(C) 9944
(D) 9954
(E) 9990
a: Stream of consciousness: Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944 The answer is (C).


question: Three men rent a pasture for Rs. 660. The first used it for 50 sheep for 4 months, the 2nd for 40 sheep for 3 months and the 3rd for 46 sheep for 5 months. How much should the first pay ?
Options:
(A) Rs. 220
(B) Rs. 235
(C) Rs. 240
(D) Rs. 276
(E) Rs. 286
answer: Stream of consciousness: The payment should be in ratio of 200:120:230 or 20:12:23
First person should pay 20*660/55 = 240 Rs. The answer is (D).


question: In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?
Options:
(A) 2/5
(B) 16/20
(C) 9/10
(D) 3/5
(E) 1/3
answer:

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: P(at least one red) = 1 - P(no red, so 2 blue) = 1- 2/5*1/4 = 9/10. The answer is (C).