In how many different ways can the letters of the word ‘GEOMETRY’ be arranged so that the vowels always come together?
Answer: B
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There are two identical red, two identical black, and two identical white balls.In how many different ways can the balls be placed in the cells (Each cell to contain one ball) shown above such that balls of the same colour do not occupy any two consecutive cells?
Answer: C
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A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Answer: A
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Groups each containing 3 boys are to be formed out of 5 boys. A, B, C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups?
Answer: C
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Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Answer: C
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Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
Answer: D
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A briefcase has a number-lock system containing a combination of 3 digits (Each digit can be of numbers 0 to 8). If the correct combination is unknown, how much maximum time would be required to open the bag if each “trial” of combination takes 3 seconds?
Answer: B
Maximum number of trials required = 9 * 9 * 9 = 729. Since for each combination trial, 3 seconds are required to open the briefcase is given as 3 * 729 = 2187 seconds = 36.45 minutes.
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Answer: A
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A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Answer: B
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Answer: C
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