Rationale: K + 2K +2 + 3K - 5 + 5K +1 = 11K -2
(11K -2)/4 = 63
11K = 63 * 4 +2 = 252 +2 = 254
K = 254 / 11 = 23 1/11
The answer: (E)
Question: If the average (arithmetic mean) of the four numbers K, 2K + 2, 3K 5 and 5K + 1 is 63, what is the value of K?
Options:
(A) 11
(B) 15 3/4
(C) 22
(D) 23
(E) 23 1/11
Reasoning: 6175. This is the only option with last two digits divisible by 5
Ans: (B)
Question: Which of the following numbers is divisible by 5?
Options:
(A) 3221
(B) 6175
(C) 6231
(D) 5813
(E) 4251
Rationale: Original perimeter = x
Hence original side = x/4
New side = 6x/4
New perimeter = 4*6x/4 = 6x
The answer: (C)
Question: The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 6x
(D) 12x
(E) 27x
Reasoning: Area of an equilateral triangle = 3/4 S2
If S = 14, Area of triangle = 3/4 * 14 * 14 = 493 cm2;
Ans: (D)
Question: What is the are of an equilateral triangle of side 14 cm?
Options:
(A) 663 cm2
(B) 743 cm2
(C) 643 cm2
(D) 493 cm2
(E) 143 cm2
Rationale: 60 * 18/5 = 216 kmph
The answer: (C)
Question: Express 60 mps in kmph?
Options:
(A) 200
(B) 182
(C) 216
(D) 127
(E) 400
Rationale: Divisibility rule for 3 also same as 9. so from the above discussion sum of the digits = 380 and remainder = 380/3 = 2.
The answer: (A)
Question: A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 8