Find the required number?
Answers
Answer:
(3) is the answer
(3) is the answerlargest single odd number and the number is 87469
Topic
Playing with Numbers
Given
In a five digit number, the digit at the hundreds place is three-fourth of the digit at ten thousands place and the digit at tens place is two-third of the digit at hundreds place. The digit at tens place is square of the smallest prime number and the digit at thousands place is the largest single digit prime number. If the digit at unit place is the largest single digit odd number.
To Find
The required number.
Solution
Let five digit number be in form of abcde.
e is at ones place.
d is at tens place.
c is at hundreds place.
b is at thousands place.
a is at ten thousands place.
It is given that
The digit at the hundreds place is three-fourth of the digit at ten thousands place.
c = ( 3/4 )a
The digit at tens place is two-third of the digit at hundreds place.
d = ( 2/3 )c
The digit at tens place is square of the smallest prime number.
d = Square of Smallest prime number
Smallest prime number = 2
d = 2²
d = 4
And if d = 4 then
4 = ( 2/3) c
c = ( 4 × 3 ) / 2
c = 6
And if c = 6 then
6 = ( 3/4 )a
a = ( 4 × 6 ) / 3
a = 24 / 3
a = 8
The digit at thousands place is the largest single digit prime number.
b = Largest Single digit prime number
Largest Single digit prime number = 7
b = 7
If the digit at unit place is the largest single digit odd number.
e = Largest single digit odd number
Largest single digit odd number = 9
e = 9
So, digits are,
a = 8
b = 7
c = 6
d = 4
e = 9
Answer
So, the required five digit number is 87649 which is option 3.