q: In a garden, carrots are planted in rows. In each row there are as many carrots as the number of rows in the garden. If each plant attracts as many bunnies as the number of carrots in each row and if the total number of bunnies is n, then :
Options:
(A) n is a perfect square
(B) n is an odd number
(C) n is an even number
(D) n is a perfect cube
(E) none
a: For example, if there were 4 carrot rows, the garden would have a 4x4 arrangement. If each carrot attracts 4 bunnies, the number of bunnies would be (4*4)*4 = 64 pieces, which is a cube of 4. The answer is (D).
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q: For a particular American football game, the probability of a team's quarterback throwing a completed pass on each throw is 3/10. What is the least number of times that the quarterback should throw the ball that will increase the probability of getting a completed pass at least once to more than 50%.
Options:
(A) 10
(B) 5
(C) 2
(D) 3
(E) 1
a: Rule of Subtraction: P(A) = 1 - P(A')
Rule of Multiplication: P(A B) = P(A) P(B)
The probability that the quarterback throws a completed pass at least once in 2 throws is 1- (7/10)^2 = 1 - 49/100 = 51/100 > 50% The answer is (C).
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q: A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?
Options:
(A) 7
(B) 8
(C) 9
(D) 0
(E) 1
a: 39 + 20 = 59/13 = 7 (Remainder) The answer is (A).
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q: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 30
(B) 35
(C) 40
(D) 47
(E) 50
a:
The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong. The answer is (C).
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