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30 Jun 2023, 01:30
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
76% (01:11) correct
24%
(01:50)
wrong
based on 172
sessions
History
Date
Time
Result
Not Attempted Yet
How many 4 digit numbers can be formed if the tens and thousands digits are even, and the hundreds and units digits are odd?
A. 100
B. 200
C. 300
D. 400
E. 500
A. 100
B. 200
C. 300
D. 400
E. 500
30 Jun 2023, 02:08
Kudos
Bookmarks
Tens and Thousands digits are even and the Hundreds and Units digits are odd
No. of ways to fill Unit digit = 5 { 1 , 3 , 5 , 7 , 9 }
No. of ways to fill Tens digit = 5 { 0 , 2 , 4 , 6 , 8 }
No. of ways to fill Hundreds digit = 5 { 1 , 3 , 5 , 7 , 9 }
No. of ways to fill Thousands digit = 4 { 2 , 4 , 6 , 8 }
Total = 4 * 5 * 5 * 5
500 [E]
No. of ways to fill Unit digit = 5 { 1 , 3 , 5 , 7 , 9 }
No. of ways to fill Tens digit = 5 { 0 , 2 , 4 , 6 , 8 }
No. of ways to fill Hundreds digit = 5 { 1 , 3 , 5 , 7 , 9 }
No. of ways to fill Thousands digit = 4 { 2 , 4 , 6 , 8 }
Total = 4 * 5 * 5 * 5
500 [E]
01 Jul 2023, 04:17
Kudos
Bookmarks
The key point to remember in these type of questions is that to form a 4 digit number, first digit i.e. Thousandth's digit can't be zero.
Rest all places can be filled by 5 nos each (1,3,5,7,9 or 2,4,6,8,0)
Therefore answer = 4*5*5*5 = 500
Rest all places can be filled by 5 nos each (1,3,5,7,9 or 2,4,6,8,0)
Therefore answer = 4*5*5*5 = 500
