Question
If the number 985212m8 is completely divisible by 11,
then the smallest whole number in place of ‘m’ would be:Solution
We know that: A number is divisible by 11 if difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a number divisible by 11. Given number = 985212m8 ​So, (8+2+2+8) - (m+1+5+9) = (5 - m), which must be divisible by 11 ∴ m = 5
Geography books are always together.
From 7 artists and 6 designers, a team of 9 members is to be selected. In how many ways can this team be formed if it includes at least 6 artists?
- Six dancers are to be lined up for a stage entry. Among them, three are from the same team and must not be adjacent. How many valid line-ups are possible?
Find the number of ways to arrange each letter of the word 'COMMITTEE' such that all the vowels always come together.
In how many different ways can the letters of word ‘PUMPKIN’ be arranged?
A team of 7 researchers is to be formed from 6 biologists and 4 chemists. Find the number of ways to form the team if it must include at least 5 biologi...
In how many ways can a team of 4 be selected out of 10 players?
How many 5-digit numbers can be formed using digits 1–7 such that digits are odd-even-odd-even-odd?
A box contains 2 blue, 3 black and 5 orange balls. In how many ways can 3 balls be drawn from the box, if at least 1 black ball is to be included in the...
From 6 officers and 8 Jawans, in how many ways can 5 be chosen to include exactly 3 officers?
