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What are the last two digits of 63*35*37*82*71*41?
- a)10
- b)30
- c)40
- d)70
- e)80
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What are the last two digits of 63*35*37*82*71*41?a)10b)30c)40d)70e)80...
To find the last two digits of the product 63 * 35 * 37 * 82 * 71 * 41, we can perform the multiplication and observe the pattern of the last two digits.
Let's calculate it step by step:
63 * 35 = 2205
2205 * 37 = 81585
81585 * 82 = 6697770
6697770 * 71 = 474247370
474247370 * 41 = 19449363970
2205 * 37 = 81585
81585 * 82 = 6697770
6697770 * 71 = 474247370
474247370 * 41 = 19449363970
Now, let's focus on the last two digits of the result: 19449363970.
The last two digits of a number can be obtained by taking the remainder when divided by 100. So, we'll divide 19449363970 by 100:
19449363970 ÷ 100 = 194493639 remainder 70
Therefore, the last two digits of the product 63 * 35 * 37 * 82 * 71 * 41 are 70.
Hence, the correct answer is option D: 70.
Most Upvoted Answer
What are the last two digits of 63*35*37*82*71*41?a)10b)30c)40d)70e)80...
Finding the Last Two Digits
To find the last two digits of the product \( 63 \times 35 \times 37 \times 82 \times 71 \times 41 \), we need to compute the product modulo \( 100 \).
Step 1: Break Down Each Number Modulo 100
- \( 63 \equiv 63 \mod 100 \)
- \( 35 \equiv 35 \mod 100 \)
- \( 37 \equiv 37 \mod 100 \)
- \( 82 \equiv 82 \mod 100 \)
- \( 71 \equiv 71 \mod 100 \)
- \( 41 \equiv 41 \mod 100 \)
Step 2: Calculate the Product Step by Step
Calculating the product step-wise will help in managing the size of the numbers.
- \( 63 \times 35 = 2205 \equiv 05 \mod 100 \)
- \( 05 \times 37 = 185 \equiv 85 \mod 100 \)
- \( 85 \times 82 = 6970 \equiv 70 \mod 100 \)
- \( 70 \times 71 = 4970 \equiv 70 \mod 100 \)
- \( 70 \times 41 = 2870 \equiv 70 \mod 100 \)
Final Result
Thus, the last two digits of the entire product \( 63 \times 35 \times 37 \times 82 \times 71 \times 41 \) are \( 70 \).
Conclusion
The correct answer is option 'D', which is \( 70 \).
To find the last two digits of the product \( 63 \times 35 \times 37 \times 82 \times 71 \times 41 \), we need to compute the product modulo \( 100 \).
Step 1: Break Down Each Number Modulo 100
- \( 63 \equiv 63 \mod 100 \)
- \( 35 \equiv 35 \mod 100 \)
- \( 37 \equiv 37 \mod 100 \)
- \( 82 \equiv 82 \mod 100 \)
- \( 71 \equiv 71 \mod 100 \)
- \( 41 \equiv 41 \mod 100 \)
Step 2: Calculate the Product Step by Step
Calculating the product step-wise will help in managing the size of the numbers.
- \( 63 \times 35 = 2205 \equiv 05 \mod 100 \)
- \( 05 \times 37 = 185 \equiv 85 \mod 100 \)
- \( 85 \times 82 = 6970 \equiv 70 \mod 100 \)
- \( 70 \times 71 = 4970 \equiv 70 \mod 100 \)
- \( 70 \times 41 = 2870 \equiv 70 \mod 100 \)
Final Result
Thus, the last two digits of the entire product \( 63 \times 35 \times 37 \times 82 \times 71 \times 41 \) are \( 70 \).
Conclusion
The correct answer is option 'D', which is \( 70 \).
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Community Answer
What are the last two digits of 63*35*37*82*71*41?a)10b)30c)40d)70e)80...
To find the last two digits of the product 63 * 35 * 37 * 82 * 71 * 41, we can perform the multiplication and observe the pattern of the last two digits.
Let's calculate it step by step:
63 * 35 = 2205
2205 * 37 = 81585
81585 * 82 = 6697770
6697770 * 71 = 474247370
474247370 * 41 = 19449363970
2205 * 37 = 81585
81585 * 82 = 6697770
6697770 * 71 = 474247370
474247370 * 41 = 19449363970
Now, let's focus on the last two digits of the result: 19449363970.
The last two digits of a number can be obtained by taking the remainder when divided by 100. So, we'll divide 19449363970 by 100:
19449363970 ÷ 100 = 194493639 remainder 70
Therefore, the last two digits of the product 63 * 35 * 37 * 82 * 71 * 41 are 70.
Hence, the correct answer is option D: 70.
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What are the last two digits of 63*35*37*82*71*41?a)10b)30c)40d)70e)80Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about What are the last two digits of 63*35*37*82*71*41?a)10b)30c)40d)70e)80Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the last two digits of 63*35*37*82*71*41?a)10b)30c)40d)70e)80Correct answer is option 'D'. Can you explain this answer?.
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