Mathematics MCQs

Page No. 43

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?


a11


b30


c14


d20


View Answer 14

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?


a10


b15


c20


d25


View Answer 25

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________?


aOne


bZero


cThree


dCannot be determined


View Answer Cannot be determined

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?


a15


b18


c24


d30


View Answer 24

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?


a9


b12


c14


d18


View Answer 12

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?


a63


b90


c126


d45


View Answer 63

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?


a40


b400


c5040


d2520


View Answer 5040

In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?


a10080


b4989600


c120960


dNone of these


View Answer 120960

In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?


a120


b720


c4320


d2160


View Answer 720

There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?


a870


b435


c30!


d29! + 1


View Answer 435

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