Reasoning: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5
Ans: (C)
Question: If six persons sit in a row, then the probability that three particular persons are always together is?
Options:
(A) 1/9
(B) 1/6
(C) 1/5
(D) 1/2
(E) 1/3
Rationale: Dividend Rs 20 = (9/100*20) = 9/5
12 is an income on Rs 100
Rs 9/5 is an income Rs (100/12*9/5) = Rs 15
The answer: (E)
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Options:
(A) 12
(B) 10
(C) 14
(D) 25
(E) 15
Reasoning: Use simultaneous equations / By combination
4x = 5y + 4
5x = 6y + 6
Multiply (1) by 6
Multiply (2) by -5
Get rid of y, and x = 6
Then 5x = 30
Ans: (C)
Question: The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?
Options:
(A) 20
(B) 24
(C) 30
(D) 32
(E) 34
Rationale: 10 m/s = 10 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 10 * 18/5 * 15/4 km = 135 km.
The answer: (A)
Question: If a man can cover 10 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 135 km
(B) 125 km
(C) 115 km
(D) 105 km
(E) 235 km
Reasoning: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
Ans: (C)
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
Options:
(A) 40%
(B) 55%
(C) 57%
(D) 60%
(E) 62%
Reasoning: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 sec
Ans: (A)
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 7 1/2 sec
(B) 2 sec
(C) 3 sec
(D) 5 sec
(E) 7 sec