47.
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, then the number is
Answers
Given : In a five digit number, the digit at the hundreds place is three-fourth of the digit at ten thousands place .
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.
the digit at thousands place is the largest single digit prime number. the digit at unit place is the largest single digit odd number,
To Find : number
Solution:
a five digit number
ABCDE
Ten Thousand place = A
Thousand place = B
Hundred place = C
Tens place = D
Units Place = E
digit at the hundreds place is three-fourth of the digit at ten thousands place
=> C = (3/4)A
digit at tens place is two-third of the digit at hundreds place.
=> D = (2/3)C = (2/3)(3/4)A = A/2
The digit at tens place is square of the smallest prime number
square of the smallest prime number = 2² = 4
D = 4
=> 4 = A/2
=> A = 8
C = (3/4)A = 6
the digit at thousands place is the largest single digit prime number.
B = 7
digit at unit place is the largest single digit odd number = 9
E = 9
ABCDE
87649
87649 is the number
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