# Puzzles Questions

• #### Word Puzzles

Q:

In a Certain Country $\inline \frac{1}{2}$ of 5 = 3. If the same proportion holds, what is the value of $\inline \frac{1}{3}$ of 10 ?

 A) 4 B) 6 C) 8 D) 10

Explanation:

Let $\inline \frac{1}{3}(10)=x$

$\inline \Rightarrow 3x=10$

Given that $\inline \frac{1}{2}(5)=3$

$\inline \therefore \frac{5}{2}(x)=10$

$\inline \Rightarrow x=4$

Filed Under: Math Puzzles

1 318
Q:

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

Subject: Math Puzzles

272
Q:

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.

Subject: Math Puzzles

129
Q:

Guess which number should be replaced by the "?" in the given series 0,10,1110,3110,132110,?

1113122110

In given series 2nd number gives number of  which digits present in the 1st number and so on continues for 3rd ,4th,...

Here 1st no. has only one zero, so  2nd no. is 10 and 2nd no. has one 1 and one 0,so 3rd no. is 1110, so like that 5th no. has one 1,one 3,one 2,two 1's and one 0.So the next no. is 1113122110.