Reasoning: On dividing 899830 by 16 we get the remainder 6, so 6 should be subtracted
Ans: (D)
Question: Find the least number must be subtracted from 899830 so that remaining no.is divisible by 16?
Options:
(A) 5
(B) 8
(C) 7
(D) 6
(E) 9
Rationale: 30^n = 2^n * 3^n * 5^n
100! has 97 2's, 48 3's and 24 5's
Since each of 2, 3 and 5 is required to form 30 and there are only 24 5's there can only be 24 30's in 100!
The answer: (B)
Question: If 100!/30^n is an integer, which of the following is the greatest possible value of n?
Options:
(A) 28
(B) 24
(C) 20
(D) 15
(E) 10
Reasoning: 10 * 162 = 1620
3 * 100 + 5 * 150 = 1050
1620 1050 = 570
Ans: (D)
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.162. Find the unknown rate of two blankets?
Options:
(A) 420
(B) 550
(C) 490
(D) 570
(E) 457
Rationale: Total Vehicles = 56
Buses = 18
Private Cars = 38
Total red vehicles = 32
Total red buses = 17
Total Red cars = 15
Total cars that are not red = 38 - 15 = 23
The answer: (E)
Question: In the "Big-Reds" parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?
Options:
(A) 1.
(B) 15
(C) 17
(D) 20
(E) 23
Reasoning: Must be once on heads and twice on tails
1/2*1/2*1/2 = 1/8
Ans: (D)
Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land once on heads and twice tails?
Options:
(A) 1/3
(B) 1/6
(C) 1/4
(D) 1/8
(E) 1/5
Reasoning: There are 13 spades, the probability that the spade we already have is an ace is therefore 1/13.
Ans: (C)
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?
Options:
(A) 1/52
(B) 1/26
(C) 1/13
(D) 1/4
(E) 5/13