Everybody in a room shakes hands with everybody else. The total number of hand-shakes is 55. The total number of persons in the room is:
(A) 11
(B) 12
(C) 8
(D) 14
(E) None of these
In an alloy, the ratio of copper and zinc is 7 : 6. If 1,450 gm. of zinc mixed with in 14 kg 300gm. of an alloy, then the ratio of copper and zinc will be
(A) 26:27
(B) 22: 23
(C) 23:26
(D) 25: 21
Two pipes A and B can fill a tank in 3 hours and 5 hours. Then, if all three are open, the tank is filled in 30 hours. Find in how many hours a third pipe will empty the tank?
(A) 4 hours
(B) 2 hours
(C) 8 hours
(D) 6 hours
A man can swim at the rate of 3 km/hr. in still water. Then, if speed of the stream is 2 km/hr., then in what time he will cover a total distance of 5 km in with the stream and against the stream?
(A) 6 hours
(B) 6.5 hours
(C) 4 hours
(D) 5 hours
What is the value of ½ % in decimals ?
(A) 0.0005
(B) 0.005
(C) 0.05
(D) 0.5
In how many different ways can the letters of the word 'NATIONAL' be arranged?
(A) 6720
(B) 5040
(C) 10080
(D) 1020
(E) 3360
The simple and compound interest that can be earned in two years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (% per annum) of interest?
(A) 12.5%
(B) 20%
(C) 10%
(D) 5%
A sum of Rs.10600 is divided among P, Q, R in such a way that P gets Rs.1400 more than what Q gets and Q gets Rs.1600 more than what R gets. The ratio of their shares is
(A) 16: 9: 18
(B) 27: 18: 10
(C) 18: 25: 10
(D) 16: 25: 10
A train passes two bridges of length 400 m and 200 m. in 50 seconds and 30 seconds respectively. The length of the train is-
(A) 100
(B) 225
(C) 50
(D) 125
If in a sale, the discount given on a saree is equal to one-fourth of the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is-
(A) 3 : 4
(B) 20 : 17
(C) 15 : 17
(D) 12 : 13
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