Rationale: Total number of ways = 9!*2!.
The answer: (A)
Question: There are 12 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?
Options:
(A) 9!*2!
(B) 7!*2!
(C) 6!*1!
(D) 2!*1!
(E) 5!*1!
Reasoning: (average) = (perimeter)/3;
12 = (perimeter)/3;
(perimeter) = 36.
Ans: (E)
Question: The average length of the sides of triangle ABC is 12. What is the perimeter of triangle ABC?
Options:
(A) 4
(B) 6
(C) 12
(D) 24
(E) 36
Rationale: Rate of flow of water in second hour = 36 gallons per hour
Rate of flow of water in first hour = 36/(3/2) = 24 gallons per hour
Rate of flow of water in third hour = (125/100)* 36 = (5/4) * 36 = 45 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 24+36+45 = 105 gallons
The answer: (E)
Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
(A) 106.25
(B) 105.5
(C) 105.75
(D) 106
(E) 105.0
Reasoning: (1+2+3)^2 = 36
(2+2+1)^2 = 25
Ans: (D)
Question: 123 : 36 : : 221 : ?
Options:
(A) 52
(B) 69
(C) 72
(D) 25
(E) 32
Rationale: S = (150 + 240)/42 = 390/42 * 18/5 = 33
The answer: (B)
Question: A train 150 meters long completely crosses a 240 meters long bridge in 42 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 33
(C) 88
(D) 66
(E) 09
Rationale: 2x2 + x 3 < 0
(x 1)(2x + 3) < 0 or, -32 < x < 1
The answer: (A)
Question: Which value of x does statisfy the inequality 2x2 + x 3 < 0?
Options:
(A) -32 < x < 1
(B) -1 < x < 32
(C) x > 1
(D) x < -25
(E) None of these