Q: What is the are of an equilateral triangle of side 16 cm?
Options:
(A) 64√6
(B) 64√9
(C) 64√4
(D) 64√3
(E) 64√2
A: OK... 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: Find 94 ×× 97
Options:
(A) 93/198
(B) 93/12
(C) 93/18
(D) 93/10
(E) 93/11
A: OK... Stream of consciousness: Here both numbers are less than 100. So they are deficient of - 6 and - 3 compared with 100. So
The answer is (C).

Q: A family pays $800 per year for an insurance plan that pays 65 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Options:
(A) $1,000
(B) $1,200
(C) $1,400
(D) $1,500
(E) $2,200
A: OK... Stream of consciousness: Upfront payment for insurance plan = 800$
Family needs to pay 35 % of first 1000 $ in expense = 350$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 350 = 1150 $
Total amount paid by insurance plan for first 1000 $ = 800 $
Total amount paid by family will equal amount paid by plan when medical expense = 1500 $
(Since insurance plan will pay 100% of amount that exceeds 1150$ )
The answer is (D).

Q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220025
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
OK... Stream of consciousness: (555 + 445) * 2 * 110 + 25 = 220000 + 25 = 220025
The answer is (E).