# What is the smallest positive integer that cannot be represented using these conditions?

56 views

Below shows the first 5 positive integers formed by using the four mathematical operators (+ - * /) only on the digit 4 four times.

``````1 = 44 / 44
2 = 4*4 / (4+4)
3 = (4+4+4) / 4
4 = 4 + (4*(4-4))
5 = (4+(4*4)) / 4
``````

What is the smallest positive integer that cannot be represented using these conditions?

posted Aug 10, 2016

6 = ( (4 + 4) / 4 ) + 4 = 6
7 = 4 - (4 / 4) + 4 = 7
8 = 4 * 4 - (4 + 4) = 8
9 = 4 + 4 + ( 4 / 4) = 9
10 = (44-4)/4 = 10

Ans :- 11

11 is the smallest positive integer that cannot be represented using those conditions

Similar Puzzles
+1 vote

What are the largest and smallest 5-digit numbers that satisfy the following conditions?

A. Each digit of the number is a prime digit.
B. Each successive pair of digits forms a 2-digit number that is NOT a prime number.
C. Each of the prime digits must appear at least once in the 5-digit number.

+1 vote

We are given a positive integer N. Two of its positive divisors are chosen and the differences between N and these two divisors are 270 and 280 respectively.

Find the number of possible value(s) of N?