681 In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together? Mathematics Medium Full question → A 10080 B 4989600 C 120960 D None of these
682 How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed? Mathematics Medium Full question → A 40 B 400 C 5040 D 2520
683 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? Mathematics Medium Full question → A 63 B 90 C 126 D 45
684 In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position? Mathematics Medium Full question → A 9 B 12 C 14 D 18
685 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? Mathematics Medium Full question → A 15 B 18 C 24 D 30
686 Twelve people from a club, by picking lots. One of them will host a dinner for all once in a month. The number of dinners a particular member has to host in one year is________? Mathematics Medium Full question → A One B Zero C Three D Cannot be determined
687 A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair while preparing the bill the bill clerk inter-changed the number of black and brown pairs by mistake which increased the bill by 100% what was the number of pair of brown socks in the original order? Mathematics Medium Full question → A 10 B 15 C 20 D 25
688 A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted? Mathematics Medium Full question → A 11 B 30 C 14 D 20
689 A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is___________? Mathematics Medium Full question → A 4 B 12 C 18 D None of these
690 A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two subjects which can be opted is_________? Mathematics Medium Full question → A 5 B 6 C 7 D 18
691 2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers? Mathematics Medium Full question → A 15 B 36 C 48 D 60
692 Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2? Mathematics Medium Full question → A 36 B 81 C 91 D 116
693 A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played? Mathematics Medium Full question → A 12 B 48 C 36 D 42
694 In a question paper, there are four multiple choice type questions, each question has five choices with only one choice for it’s correct answer. What is the total number of ways in which a candidate will not get all the four answers correct? Mathematics Medium Full question → A 19 B 120 C 624 D 1024
695 In how many different ways can six players be arranged in a line such that two of them, Asim and Raheem are never together? Mathematics Medium Full question → A 120 B 240 C 360 D 480
696 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? Mathematics Medium Full question → A 5 B 6 C 7 D 8
697 A question paper had 10 questions. Each question could only be answered as true(T) of 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? Mathematics Medium Full question → A 20 B 40 C 512 D 1024
698 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? Mathematics Medium Full question → A 29 B 32 C 55 D 30
699 A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior? Mathematics Medium Full question → A ²²C₁₀ B ²²C₁₀ + 1 C ²²C₉ + ¹⁰C₁ D ²²C₁₀ – 1
700 A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors? Mathematics Medium Full question → A ¹²C₅ * 10 B ¹²C₇ * 10 C ¹²C₇ * ¹⁰C₅ D 12 * ¹⁰C₅