Rationale: 10 m/s = 10 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 10 * 18/5 * 15/4 km = 135 km.
The answer: (D)
Question: If a man can cover 10 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 288
(B) 162
(C) 145
(D) 135
(E) 130

Reasoning: First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 100 positive even integers minus the sum of first 100 positive odd integers will be 100.
Ans: (E)
Question: If X is the sum of first 100 positive even integers and Y is the sum of first 100 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 0
(B) 25
(C) 50
(D) 75
(E) 100

Rationale: Fix the third coin as H. The remaining 14 coins have 2^14 outcomes.
The answer: (B)
Question: Fifteen coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options:
(A) 2^9
(B) 2^14
(C) 3 * 2^8
(D) 3 * 2^9
(E) 3 * 2^10

Reasoning: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
Ans: (E)
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2567
(B) 3589
(C) 3789
(D) 4890
(E) 5184

Rationale: Answer A) 10800 yards need 1200 lbs
1 Yard will need 1200/10800 = 1/9 lbs
3600 Yards will need 1/9* 3600 Yards = 400lbs
The answer: (A)
Question: A football field is 10800 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Options:
(A) 400
(B) 600
(C) 750
(D) 2400
(E) 3200

Rationale: Circumference C is given by
C = 2πr = 2π*9 = 18 π cm
The answer: (A)

Question: Calculate the circumference of a circular field whose radius is 8 centimeters.
Options:
(A) 18 π cm
(B) 1 π cm
(C) 8 π cm
(D) 19 π cm
(E) 28 π cm