Free Practice Question
PS · Problem Solving
705-805
Divisibility/Multiples/Factors
What are the last two digits (at tens place and units place) in the numerical value of ?
Answer Choices
Correct answer marked belowA
52
B
60
72
Correct
D
82
E
92
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Explanation
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Official Explanation
Official
Let's take .
Now , which ends with 01.
So also gives 01 in the tens and units place.
For , let's check for a pattern:
→ ends in 21
→ ends in 31
→ ends in 41…
Now , which ends with 01.
So also gives 01 in the tens and units place.
For , let's check for a pattern:
→ ends in 21
→ ends in 31
→ ends in 41…
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What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
705-805
Type
PS
Category