Reasoning: 1. Subtract 1 from both sides: 6x - 1 + 1 = -13 + 1 2. Simplify both sides: 6x = -12 3. Divide both sides by 6: 4. Simplify both sides: x = -2
Ans: (B)
Question: Solve below question 6x - 1 = -13
Options:
(A) -8
(B) -2
(C) -5
(D) -4
(E) 1
Rationale: The correct answer should not take the form: 5x + 3. Hence, it is
The answer: (A)
Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a blue shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?
Options:
(A) 27
(B) 38
(C) 53
(D) 63
(E) 78
Reasoning: (30 * 30)/100 = 9% decrease
Ans: (D)
Question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
Options:
(A) 90% increase
(B) 45% increase
(C) 9% decrease
(D) Same as before
(E) NONE
Rationale: The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)
The probability that she misses all shots = (prob that she misses from 30 yards)*(prob that she misses from 40 yards)*(prob that she misses from 50 yards)
Prob that she misses from 30 yards = 1 - 5/6 = 1/6; Prob that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4
Thus the probability that she misses all shots = (1/6)*(1/5)*(1/4) = 1/120
Thus the probability that she makes at least one shot = 1 - (1/120) = 119/120
The answer: (B)
Question: An archer is shooting arrows from various distances. She shoots at a target from 30 yards, 40 yards, and 50 yards. The probability that she hits within the bullseye from 30 yards is 5/6, the probability that she hits within the bullseye from 40 yards is 4/5, and the probability that she hits within the bullseye from 50 yards is 3/4. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
Options:
(A) 104/105
(B) 119/120
(C) 139/140
(D) 9/10
(E) 14/15
Reasoning: 8 * 85 = 680 10 = 670
Ans: (E)
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 85. How many points altogether did the team score?
Options:
(A) 662
(B) 672
(C) 652
(D) 642
(E) 670
Reasoning: 3872 = 11*11*2*2*2*2*2
Required smallest number = 2
2 is the smallest number which should be divided with 3872 to make it a perfect square.
Ans: (C)
Question: Find the smallest number which should be divided with 3872 to make it a perfect square.
Options:
(A) 8
(B) 6
(C) 2
(D) 4
(E) 1