Reasoning: On dividing 531742 by 3 we get the remainder 1, so 1 should be subtracted
Ans: (C)
Question: Find the least number must be subtracted from 531742 so that remaining no.is divisible by 3?
Options:
(A) 4
(B) 5
(C) 1
(D) 2
(E) 3
Rationale: 1/2 * 20(9 + 6) = 150 cm2
The answer: (B)
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Options:
(A) 288
(B) 150
(C) 77
(D) 166
(E) 1812
Reasoning: Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10
50^8 8^3 11 = (5^2*2)^8*2^9*11 = 5^16*2^17*11 = 2*11*10^16 = 22*10^16
Hence we would have 16 trailing 0's and the three digits from 22
Total digits = 2 + 16 = 18
Ans: (A)
Question: How many digits are in the number 50^8 8^3 11?
Options:
(A) 18
(B) 20
(C) 19
(D) 22
(E) 17
Rationale: Distance between Bob's house and Jamie's restaurant: 30 x 3 = 90 km
Rate of speed to get to Bob's house in an hour: 90 x 1 = 90 km/h
Rate of speed to get to Bob's house in half an hour: 90/2 = 45 km/h
The answer: (B)
Question: Jamie's friend Bob is having a party, but Jamie forgot and went to dinner with her friend Emily instead. Bob's party starts in half an hour. Bob lives 30 km away from Jamie, and the restaurant Jamie and Emily are at is three times as far away from Bob's house as Jamie's house is.
How fast would Jamie have to drive in order to get to Bob's party on time?
Options:
(A) 30 km/h
(B) 45 km/h
(C) 60 km/h
(D) 75 km/h
(E) 90 km/h
Reasoning: P(B|A) = P(A B)/P(A)
P(B|A) = (6/15)/(2/15) = 3.
Ans: (C)
Question: If P(A) = 2/15, P(B) = 4/15, and P(A B) = 6/15 Find P(B|A)
Options:
(A) 1/2
(B) 2/3
(C) 3
(D) 4/5
(E) 4/7
Reasoning: 3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done.
Ans: (C)
Question: Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.
If she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?
Options:
(A) 1
(B) 2
(C) 3 min
(D) 4
(E) 5