Reasoning: Given Exp. = (a3 + b3) = (a + b) = (222 + 555) = 777(a2 - ab + b2)
Ans: (E)
Question: Solve:-
222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 777
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 420 * 2/35 = 36 sec
The answer: (A)
Question: A train 420 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 36 sec
(B) 16 sec
(C) 17 sec
(D) 88 sec
(E) 12 sec
Reasoning: He lost $5. The lady from the flower shop gave him $20 in change, but eventually got $20 back. She broke even. The man who got the haircut gave the barber nothing (except counterfeit money) but got $5 back from the barber. So the barber lost only $5, and gave a free haircut.
Ans: (A)
Question: A man goes into a barbershop and gets a $15 haircut. He pays the barber with a $20 bill, but the barber doesn't have change because it is an especially slow day. The barber goes to the flower shop next to his own and trades the $20 bill for a $10 dollar bill and two $5 bills. Then he gives the man his $5 in change.
Later the lady from the flower shop confronts the barber and tells him that the $20 bill he gave her was counterfeit. The barber agrees and he gives the lady a different $20 bill.
Later that day he tries to figure out how much money he lost. What did he lose?
Options:
(A) $5
(B) $10
(C) $12
(D) $15
(E) $20
Rationale: 32 m/s = 32 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 32 * 18/5 * 15/4 km = 432 km.
The answer: (D)
Question: If a man can cover 32 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 118 km
(B) 162 km
(C) 1767 km
(D) 432 km
(E) 177 km
Reasoning: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
Ans: (A)
Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
(A) 3
(B) 4
(C) 6
(D) 9
(E) 8
Reasoning: 1625P = PRR/100
R2 = 160025 R = 405 = 8%
Also, time = 8 years
Ans: (A)
Question: Simple interest on a certain sum is 16 over 25 of the sum. Find the rate per cent and time, if both are equal.
Options:
(A) 8% and 8 years
(B) 6% and 6 years
(C) 10% and 10 years
(D) 12 % and 12 years
(E) None of these