How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}

A. 60
B. 360
C. 120
D. 240

Explanation:

The given digits are 1, 2, 3, 5, 7, 9

A number is even when its units digit is even. Of the given digits, two is the only even digit.
Units place is filled with only ‘2’ and the remaining three places can be filled in ⁵P₃ ways.
Number of even numbers = ⁵P₃ = 60.

Related Mcqs:

The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
A. 1
B. 2
C. 3
D. 4
E. None of these
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?
A. 975
B. 753
C. 642
D. 684
E. None of these
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
A. 360
B. 60
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D. 180
The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
A. 49
B. 94
C. 83
D. Either (a) or (b)
E. None of these
The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
A. 93
B. 39
C. 75
D. 48
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A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is :_________?
A. 18
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C. 42
D. 81
If the number obtained on interchanging the digits of a two-digit number is 18 more than the original number and the sum of the digits is 8, then what is the original number ?
A. 26
B. 35
C. 53
D. Cannot be determined
The average of the two-digit numbers, which remain the same when the digits interchange their positions, is__________?
A. 33
B. 44
C. 55
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The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is__________?
A. 28
B. 32
C. 40
D. 64
The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is____________?
A. 12
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C. 84
D. 108