Sun	Mon	Tue	Wed	Thu	Fri	Sat
26	27	28	29	30	31	1
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9	10	11	12	13	14	15
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23	24	25	26	27	28	29
30	1	2	3	4	5	6

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Multiple Choice Questions

Find the number of factors of the two digit number Statement I The two digit number is 27 more than ...........

Quantitative Aptitude (RRB NTPC) Data Sufficiency

Find the number of factors of the two digit number.

Statement I: The two-digit number is 27 more than the two-digit number obtained by reversing the digits of the number.

Statement II: The number is multiple of 9.

Only Statement I

Either I or II

Both are not sufficient

Only Statement II

Both are necessary

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Explanation:

From I: Let the required number be (10x+y).
Now, 10x + y = 10y + x + 27
=> (x – y) = 3
So, the possible values of x and y are 96,85,74,63,52 and 41.
We cannot find an unique solution.
So, this statement is not alone to solve the question.
From II: Two-digit numbers which are multiple of 9 = 18,27,36,45,54,63,72,81,90,99
We cannot find unique solution.
So, this statement alone is not sufficient.
Combining both the equations. Let the required number be (10x+y).
10x + y = 10y + x + 27
=> (x – y) = 3
So, the possible values of x and y are 96,85,74,63,52 and 41.
Two-digit numbers which are multiple of 9 = 18,27,36,45,54,63,72,81,90,99.
So, 63 is the required two-digit number.
So, the factors of 63 are 1,3,7,9 21,63.
Both are necessary to answer.

Hence, option 5 is the correct answre.