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Question

Quantitative Aptitude Question on Number Systems

What is the number of factors of the number formed by the last three digits of 10051001?

A

3

B

4

C

5

D

125

Answer

4

Explanation

Solution

The correct option is (B): 4.
We will try to find a pattern in the last three digits of the given number.
Last three digits of:
10051 = 005
10052 = 025
10053 = 125
10054 = 625
10055 = 125
10056 = 625
Now, this pattern will repeat.
From the above pattern, we can say that the last three digits of 10051001
will be 125.
Now, 125 = 33
Thus, the number of factors = 3 + 1 = 4.