Curioustab

When a certain number is multiplied by 13, the product consists entirely of fives. The smallest such number is?

41625
42515
42735
42135

Correct Answer: 42735

Explanation:

By trial, we find that the smallest number consisting entirely of fives and exactly divisible by 13 is 555555. On dividing 555555 by 13, we get 42735 as quotient.
∴ Req. smallest number =42735.

← Previous Question Next Question→

More Questions from Number System

A number consist of two digit whose sum is 10 If the digit of the number are reversed then the number decreased by 36. Which of the following is correct. I. The number is divisible by a composite number. II. The number is a multiple of a prime number.
Every prime number of the form 3k + 1 can be represented in the form 6m + 1 (where k, m are integers), When
A number consist of two digit whose sum is 10. If the digits of the number are reversed, then the number decreased by 36. Which of the following is/are correct? I. The number is divisible by a composite number. II. The number is multiple of a prime number.
If the numerator of a certain fraction is increased by 2 and the denominator is increased by 1, then the resulting fraction is equal to the 1/2. If how ever the numerator is increased by 1, then denominator is decreased by 2, then the resulting fraction is equal to 3/5. Find the original fraction?
The sum of five consecutive odd numbers is equal to 175. What is the sum of the second largest number and the square of the smallest number among them together?
Out of three given numbers, the first number is twice the second and thrice the third. If the average of these three numbers is 154, then what is the difference between the first and the third numbers?
The differences between two numbers is 18. If four times the second numbers is less than three times the first number by 18, then what is the sum of these two numbers?
On children's Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?
There are two examination halls P and Q. If 10 students shifted P to Q, then the number of students will be equal in both the examination halls. If 20 students shifted from Q to P, then the students of P would be doubled to the students of Q. The number of students would be in P and Q respectively are?
The sum of the square of two numbers is 97 and the square of their difference is 25. The product of the two number is

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion