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MCQ Problems / Explanations



The total number of squares on a chessboard is?

Last updated: Mon, 10 Mar

The exponent of 7 in $$^{1000}C_{500}$$ is:

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The number of selections of four letters from the letters of the word ASSASSINATION is:

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The maximum number of different permutations of 5 letters of the word 'MORADABAD' is

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If the total numbers of terms in the expansion of $$(x - y - 2z)^n$$ is 45. Then value of n is

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The letters of the word SURTI are written in all possible orders and these words are written out as in a dictionary...

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All letters of the word 'AGAIN' are permuted in all possible ways and the words so formed ( with or without meaning...

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The number of ways in which four men and four women can be seated at round table so that no two women may be togeth...

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The sum of all numbers greater than 1000 formed by using digits 1, 3, 5, 7 no digit being repeated in any number is

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A five digit number divisible by 3 is to be formed by using the numerals 0, 1, 2, 3, 4, 5 and without repetition. T...

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How many five digit number can be formed using the digits 0, 2, 3, 4, 5, 8, & 9, if repetition of the digits is not...

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The number of words that can be formed using all the letters of the word LIMPET, so that the vowels are always toge...

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Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Let...

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a, b, c, d and e are five natural numbers. Find the number of ordered sets (a, b, c, d, e) possible such that a + b...

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A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 women. ...

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How many number of times will the digit 7 be written when listing the integers from 1 to 1000?

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In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

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In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels an...

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What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends su...

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A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How ma...

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If the letters of the word CHASM are rearranged to form 5 letters words such that none of the word repeat and the r...

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A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind....

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The letter of the word LABOUR are permitted in all possible ways and the words thus formed are arranged as in a dic...

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If letters of the word TOUGH are arranged in a dictionary what is the rank of the word TOUGH?

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5 books of Math's and 3 books of Physics are placed on a shelf so that the books on the same subject always remain ...

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On a newyear day every student of a class sends a card to every other student. The postman delivers 600 cards. How ...

Last updated: Mon, 10 Mar

The numbers of squares which we can form on a chessboard is

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The number of odd integers between 1000 and 9999 with no digit repeated is

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The number of ways in which 7 plus (+) sign and 5 minus (-) sign be arranged in a row so that no two minus sign are...

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Everybody in a room shakes hand with everybody else. The total number of handshakes is 66. The total number of pers...

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How many numbers divisible by 5 and lying between 3000 and 4000 can be formed from the digits 1, 2, 3, 4, 5, 6 (rep...

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Numbers greater than 1000 but not greater than 4000 which can be formed with the digits 0, 1, 2, 3, 4 (Repetitions...

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If $$^nC_{r-1} = 10$$, $$^nC_r = 45$$, and $$^nC_{r+1} = 120$$ then r equals

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The number of the triangles that can be formed joining the angular points of decagon, is

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In an examination there are three multiple-choice questions and each questions has 4 choices. Number of sequences i...

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There are 7 non-collinear points. How many triangles can be drawn by joining these points?

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From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is t...

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In how many ways a President, VP and Water boy can be selected from a group of 10 people.

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In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number...

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In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempts 5 qu...

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After every get-together every person present shakes the hand every other person. If there were 105 handshakes in a...

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How many diagonals can be drawn in a pentagon?

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There are five women and six men in a group. From this group a committee of 4 is to be chosen. How many different w...

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How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and ...

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If $$^{6}P_r = 360$$ and $$^{6}C_r = 15$$ find r?

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There are 12 yes or no questions. How many ways can these be answered?

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If $$5$$ x $$^nP_r = 4$$ x $$^{n+1}P_3$$ find n?

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There are 5 routes to go from Allahabad to Patna & 4 ways to go from Patna to Kolkata, then how many ways are possi...

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If $$^{10}P_r = 720$$, find r

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If $$^nC_4 = 70$$, find n.

Last updated: Mon, 10 Mar

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come togethe...

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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come tog...

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How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if rep...

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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?

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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if...

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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?

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How many 3-digit numbers can be formed from the digits 2, 3, 4, 5, 6, 7 and 9, which are divisible by 5 and none of...

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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected...

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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come tog...

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In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always c...

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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are t...

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In how many ways can the letters of the word 'LEADER' be arranged?

Last updated: Mon, 10 Mar

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

Last updated: Mon, 10 Mar

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives t...

Last updated: Mon, 10 Mar