How many letters of the word FAINTS, will their order in the word and that when the letters are arranged in the alphabetical order, remain the same?
When the letters are arranged in the alphabetical order, two remains the same.
In a certain city, 5% of all the persons in town have unlisted phone numbers. If you select 100 names at random from that city's phone directory, how many people selected will have unlisted phone numbers?
Zero. You are selecting names from the list, so they are all listed.
Which number multiplied by itself will give the output as 12345678987654321 ?
11 * 11 = 121
111 * 111 = 12321
what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321.
so to get 12345678987654321 we need to get square of 9 1's(111,111,111).
What 5 - digit number has the following features :
If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number?
Let the 5 digit number be represented by abcde.
Then the 6 digit number, 1abcde x 3 = abcde1 (another 6 digit number)
Now let Y = abcde
Then (100000 + Y) x 3 = (Y x 10) + 1
300000 + 3Y = 10Y + 1
7Y = 299999
Y = 299999 ÷ 7 = 42857
Arrange four nines(9) and a one(1) and only one mathematical symbol to make it equal to 100 ?
199 - 99 = 100
In a Certain Country of 5 = 3. If the same proportion holds, what is the value of of 10 ?