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25 May 2026, 19:00
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Palindrome is a number that reads the same right to left as it does left to right. For example: 2332. How many five–digit numbers are palindromes?
A. 450
B. 900
C. 1000
D. 1200
E. 1800
A. 450
B. 900
C. 1000
D. 1200
E. 1800
ankushsambare
Joined: 13 Jun 2022
Last visit: 06 Jun 2026
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Location: India
Schools: ISB '27 Wharton '26 INSEAD Aug '26
GPA: 2.4
25 May 2026, 21:35
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A 5-digit palindrome has the form:
ABCBA
The first digit cannot be 0.
Count the choices:
A: 9 choices (1 through 9)
B: 10 choices (0 through 9)
C: 10 choices (0 through 9)
Once these are chosen, the last two digits are fixed automatically to make the number a palindrome.
So total palindromes:
9 × 10 × 10 = 900
Answer: B. 900
ABCBA
The first digit cannot be 0.
Count the choices:
A: 9 choices (1 through 9)
B: 10 choices (0 through 9)
C: 10 choices (0 through 9)
So total palindromes:
9 × 10 × 10 = 900
Answer: B. 900
25 May 2026, 23:14
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5 digit num= ABCBA
now the available num are- 0,1,2,3,4,5,6,7,8,9
but in first position 0 cant be there.
so available choices are- 9.
so for the last digit we use the exact same num. but only 1 choice for it.
now for second position all num are available for selection. so total choices= 10.
this same num goes for 4th position. so 1 choice for 4th position.
now for 3rd position, again all 10 num are available.
so , 9*10*10*1*1 = 900
Ans B = 900
now the available num are- 0,1,2,3,4,5,6,7,8,9
but in first position 0 cant be there.
so available choices are- 9.
so for the last digit we use the exact same num. but only 1 choice for it.
now for second position all num are available for selection. so total choices= 10.
this same num goes for 4th position. so 1 choice for 4th position.
now for 3rd position, again all 10 num are available.
so , 9*10*10*1*1 = 900
Ans B = 900
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