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05 Feb 2024, 02:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (01:46) correct
32%
(01:37)
wrong
based on 98
sessions
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Not Attempted Yet
If the 2-digit positive integer n is 12 times the value of its tens digit, what is the value of n?
(1) The tens digit of n is 3.
(2) The sum of the tens digit and the units digit of n is 9.
(1) The tens digit of n is 3.
(2) The sum of the tens digit and the units digit of n is 9.
If 2-digit positive integer n is 12 times of the tens digit of n, what is the value of n?
1) The tens digit of n is 3.
2) The sum of the tens digit and the units digit of n is 9.
1) The tens digit of n is 3.
2) The sum of the tens digit and the units digit of n is 9.
05 Feb 2024, 13:51
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Correct soption should be D
4 such possiblities of numbers are there primarily which are 12, 24,36 and 48. (after having ten's digit as 4 we can't have ten's digit 5 onwards because when multiplied by 12, the ten's digit is not the same as the result; like we don't have any number which has ten's digit as 5 and is a multiple of 12, we have in case of 6 which is 60 but that doesn't satisfy our given condition)
Statement 1:
We can say straight that the number is 36 which has ten's digit as 3 and is a multiple of 12.
Sufficient
Statement 2:
sums of ten's digit and unit's digit of the number is 9. Let's suppose the number is of the form ab.
a+b=9 => b=(9-a)
=> the value of the number is 10*a + (9-a) = 9+9a which is eventually equal to 12*a (as per given in the question)
=> 3a = 9 => a=3
Which gives us the number as 36. Hence, Sufficient
So, each of the statements are individually sufficient.
Hence, correct option is D
4 such possiblities of numbers are there primarily which are 12, 24,36 and 48. (after having ten's digit as 4 we can't have ten's digit 5 onwards because when multiplied by 12, the ten's digit is not the same as the result; like we don't have any number which has ten's digit as 5 and is a multiple of 12, we have in case of 6 which is 60 but that doesn't satisfy our given condition)
Statement 1:
We can say straight that the number is 36 which has ten's digit as 3 and is a multiple of 12.
Sufficient
Statement 2:
sums of ten's digit and unit's digit of the number is 9. Let's suppose the number is of the form ab.
a+b=9 => b=(9-a)
=> the value of the number is 10*a + (9-a) = 9+9a which is eventually equal to 12*a (as per given in the question)
=> 3a = 9 => a=3
Which gives us the number as 36. Hence, Sufficient
So, each of the statements are individually sufficient.
Hence, correct option is D
05 Feb 2024, 19:11
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IMO -D
Each statement is sufficient to answer the question.
Each statement is sufficient to answer the question.
