Reasoning: Original perimeter = x
Hence original side = x/4
New side = 4x/4
New perimeter = 4*4x/4 = 4x
Ans: (B)
Question: The measure of the side of a square is quadrupled. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 9x
(D) 12x
(E) 27x
Rationale: 1. Add 1 to both sides: 2x - 1 + 1 = 17 + 1 2. Simplify both sides: 2x = 18 3. Divide both sides by 2: 4. Simplify both sides: x = 9
The answer: (E)
Question: Solve below question 2x - 1 = 17
Options:
(A) -8
(B) -9
(C) -5
(D) -4
(E) 9
Reasoning: Division of m+n+p objects into three groups is given by (m+n+p)!m!n!p!(m+n+p)!m!n!p!
But 7 = 1 + 3 + 3 or 1 + 2 + 4 or 1 + 1 + 5
So The number of ways are (7)!1!3!3!12!(7)!1!3!3!12! + (7)!1!2!4!(7)!1!2!4! + (7)!1!1!5!12!(7)!1!1!5!12! = 70 + 105 + 21 = 196
Ans: (D)
Question: Seven different objects must be divided among three persons. In how many ways this can be done if at least one of them gets exactly one object.
Options:
(A) 223
(B) 776
(C) 287
(D) 196
(E) 211
Rationale: 120/90 = 4/3
4/3 100 = 400/3 = 133 1/3 %
The answer: (A)
Question: What percent is 120 of 90?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 %
Reasoning: 90 * 10/60 = 15 kmph
Ans: (A)
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 88
(E) 12
Reasoning: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12
Ans: (B)
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Options:
(A) 5/9
(B) 5/12
(C) 1/36
(D) 7/12
(E) 4/9