Advertisements
Advertisements
In a group of 50 persons, 14 drink tea but not coffee and 30 drink tea. Find:
(i) how may drink tea and coffee both;
(ii) how many drink coffee but not tea.
Concept: undefined >> undefined
In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find:
(i) the numbers of people who read at least one of the newspapers.
(ii) the number of people who read exactly one newspaper.
Concept: undefined >> undefined
Advertisements
The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is
Concept: undefined >> undefined
Of the members of three athletic teams in a certain school, 21 are in the basketball team, 26 in hockey team and 29 in the football team, 14 play hockey and basket ball 15 play hockey and football, 12 play football and basketball and 8 play all the three games. How many members are there in all?
Concept: undefined >> undefined
A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is
Concept: undefined >> undefined
The product of r consecutive positive integers is divisible by
Concept: undefined >> undefined
In a group of 1000 people, there are 750 who can speak Hindi and 400 who can speak Bengali. How many can speak Hindi only? How many can speak Bengali? How many can speak both Hindi and Bengali?
Concept: undefined >> undefined
If k + 5Pk + 1 =\[\frac{11 (k - 1)}{2}\]. k + 3Pk , then the values of k are
Concept: undefined >> undefined
The number of arrangements of the letters of the word BHARAT taking 3 at a time is
Concept: undefined >> undefined
\[\cap\]A survey of 500 television viewers produced the following information; 285 watch football, 195 watch hockey, 115 watch basketball, 45 watch football and basketball, 70 watch football and hockey, 50 watch hockey and basketball, 50 do not watch any of the three games. How many watch all the three games? How many watch exactly one of the three games?
Concept: undefined >> undefined
In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B, 10 read magazines A and C, 5 read magazines B and C and 3 read all the three magazines. Find:
(i) How many read none of three magazines?
(ii) How many read magazine C only?
Concept: undefined >> undefined
The number of words that can be made by re-arranging the letters of the word APURBA so that vowels and consonants are alternate is
Concept: undefined >> undefined
The number of different ways in which 8 persons can stand in a row so that between two particular persons A and B there are always two persons, is
Concept: undefined >> undefined
The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is
Concept: undefined >> undefined
In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with different amounts of illumination is
Concept: undefined >> undefined
In a survey of 100 students, the number of students studying the various languages were found to be : English only 18, English but not Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and Hindi 8, no language 24. Find:
(i) How many students were studying Hindi?
(ii) How many students were studying English and Hindi?
Concept: undefined >> undefined
If n is a positive integer, prove that \[3^{3n} - 26n - 1\] is divisible by 676.
Concept: undefined >> undefined
Using binomial theorem determine which number is larger (1.2)4000 or 800?
Concept: undefined >> undefined
Find the value of (1.01)10 + (1 − 0.01)10 correct to 7 places of decimal.
Concept: undefined >> undefined
Show that \[2^{4n + 4} - 15n - 16\] , where n ∈ \[\mathbb{N}\] is divisible by 225.
Concept: undefined >> undefined
