Rationale: The total of seven numbers = 7X24 = 168
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (168 - 99 ) = 69
The answer: (E)
Question: The average of seven numbers is 24. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 27
(B) 29
(C) 31
(D) 34
(E) 69
Reasoning: The prompt is essentially asking for the maximum number of 4x 4 squares that can be cut from a larger 16 by 16 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 4 'pieces' each, we have (4)(4) = 16 total smaller squares (at maximum).
Ans: (C)
Question: What is the maximum number of pieces of birthday cake of size 4" by 4" that can be cut from a cake 16" by 16"?
Options:
(A) 5
(B) 4
(C) 16
(D) 20
(E) 25
Rationale: Of the 15 marbles we are wanting red:
Probability of choosing 1st red marble: 5/15
Probability of Choosing 2nd red marble: 4/14
Multiply and you get 20/210 simplified to 2/21
The answer: (B)
Question: A marble shop contains 5 blue marbles, 5 red marbles, and 5 green marbles. If 2 marbles are purchased at random from the shop, what is the probability that the 2 marbles will be of the red?
Options:
(A) 5/15
(B) 2/21
(C) 20/15
(D) 5/210
(E) 4/14
Reasoning: 240/90 = 8/3
8/3 100 = 800/3 = 266 2/3 %
Ans: (D)
Question: What percent is 240 of 90?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 266 2/3 %
(E) 143 1/3 %
Rationale: (500*3*2)/100 = 30
500+ 30 = 530
The answer: (D)
Question: Rs.500 amounts to Rs.620 in 2 years at simple interest. If the interest is increased by 2%, it would amount to how much?
Options:
(A) 120
(B) 25
(C) 614
(D) 530
(E) 210
Rationale: Answer = B) Three
Numbers between 10 - 99 giving remainder 8 when divided by 10 = 18, 28, 38, 48, 58, 68, 78, 88, 98
The above Numbers giving remainder 2 when divided by 8 = 18, 58, 98 = 3
The answer: (B)
Question: How many numbers between 10 - 99 yield a reminder of 8 when divided by 10 and also yield a remainder of 2 when divided by 8?
Options:
(A) One
(B) Three
(C) Two
(D) Five
(E) Four