A team of 4 is to be selected from 8 players so that 2 particular players are always included. In how many ways can the team be selected?
Correct answer D. 15
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Maths MCQs & Aptitude MCQs
Page 18 of Aptitude multiple-choice questions with answers. Tap an option to check yourself.
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In how many ways can a committee of 5 be formed from 9 people if one particular person must not be included?
Correct answer C. 56
A group of 4 is to be chosen from 9 people, but two particular people refuse to be in the group together. In how many ways can the group be chosen?
Correct answer D. 105
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In how many ways can 7 people be seated around a round table?
Correct answer B. 720
In how many ways can 8 different beads be strung into a necklace?
Correct answer D. 2520
In how many ways can 6 friends sit around a circular table if two particular friends must always sit together?
Correct answer B. 48
At a meeting, each of 15 people shakes hands once with every other person. How many handshakes take place?
Correct answer A. 105
At a party, every guest shook hands once with every other guest and there were 66 handshakes in all. How many guests were at the party?
Correct answer A. 12
How many diagonals does a decagon (a polygon with 10 sides) have?
Correct answer B. 35
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A convex polygon has 54 diagonals. How many sides does it have?
Correct answer D. 12
How many straight lines can be drawn through 10 points in a plane if no three of them are collinear?
Correct answer C. 45
There are 12 points in a plane, of which exactly 5 lie on one straight line and no other three are collinear. How many triangles can be formed using these points as vertices?
Correct answer C. 210
How many 4-digit numbers can be formed using the digits 1 to 7 if no digit is repeated?
Correct answer D. 840
How many 3-digit numbers can be formed from the digits 0, 1, 2, 3, 4 and 5 if no digit is repeated?
Correct answer C. 100
How many 3-digit even numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 without repetition?
Correct answer D. 60
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How many 4-digit numbers greater than 5000 can be formed using the digits 2, 4, 5, 7 and 8 without repetition?
Correct answer B. 72
In a league, each of 10 teams plays every other team twice, once at home and once away. How many matches are played in total?
Correct answer B. 90
A bag contains 5 red and 4 blue balls. In how many ways can 3 balls be drawn so that at least one blue ball is included?
Correct answer B. 74
In how many ways can 5 boys and 4 girls stand in a row so that all the girls stand together?
Correct answer B. 17280
In how many ways can 5 boys and 4 girls stand in a row so that boys and girls stand alternately?
Correct answer B. 2880