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A paper had ten questions. Each could only be answered as True (T) or False (F). Each candidate answered all the questions. Yet, no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?
(a)
(a)20
(b)
40
(c)
512
(d)
1024
(D)
Two trains leave New Delhi at the same time. One travels north at 60 kmph and the other travels south at 40 kmph. After how many hours will the trains be 150 km apart ?
3/2
4/3
3/4
15/2
(A)
In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played ?
105
91
85
78
(B)
A cuboid has six sides of different colours. The red side is opposite to black. The blue side is adjacent to white. The brown side is adjacent to blue. The red side is face down. Which one of the following would be the opposite to brown?
Red
Black
White
Blue
(C)
There are three cans A, B and C. The capacities of A, B and C are 6 litres, 10 litres and 16 litres respectively. The can C contains 16 litres of milk. The milk has to be divided in them using these three cans only. Consider the following statements : 1. It is possible to have 6 litres of milk each in can A and can B. 2. It is possible to have 8 litres of milk each in can B and can C. Which of the statements given above is/are correct ?
1 only
2 only
Both 1 and 2
Neither 1 nor 2
In a carrom board game competition, m boys and n girls (m > n > 1) of a school participate in which every student has to play exactly one game with every other student. Out of the total games played, it was found that in 221 games one player was a boy and the other-player was a girl. Consider the following statements : 1. The total number of students that participated in the competition is 30. 2. The number of games in which both players were girls is 78. Which of the statements given above is/are correct ?
There are 240 balls and n number of boxes B1, B2, B3, … , Bn. The balls are to be placed in the boxes such that should contain 4 balls more than B2, B2 should contain: 4 balls more than B3, and so on. Which one of the following cannot be the possible value of n ?
4
5
6
7
How many times are an hour hand and a minute hand of a clock at right angles during their motion from 1.00 p.m. to 10.00 p.m. ?
9
10
18
20
There is a family of 6 persons A, B, C, D, E and F. There are two married couples in the family. The family members are lawyer, teacher, salesman, engineer, accountant and doctor. D, the salesman is married to the lady teacher. The doctor is married to the lawyer. F, the accountant is the son of B and brother of E. C, the lawyer is the daughter-in-law of A. E is the unmarried engineer. A is the grandmother of F. How is E related to F ?
Brother
Sister
Father
Cannot be determined
In an examination, there are three subjects A, B and C. A student has to pass in each subject. 20% students failed iv A, 22% students failed in B and 16% failed in C. The total number of students passing the whole examination lies between
42% and 84%
42% and 78%
58% and 78%
58% and 84%