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A sequence of terms is given as 3, 33, 333, 3333 What is the hundred
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Updated on: 03 Jun 2024, 02:25
Updated on: 03 Jun 2024, 02:25
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Question Stats:
42% (02:33) correct
57% (02:40) wrong based on 14 sessions
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A sequence of terms is given as 3, 33, 333, 3333…… What is the hundreds digit of sum of the first 10 terms of this series?
A. 3
B. 5
C. 6
D. 7
E. 9
A. 3
B. 5
C. 6
D. 7
E. 9
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Re: A sequence of terms is given as 3, 33, 333, 3333 What is the hundred
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03 Jun 2024, 02:18
03 Jun 2024, 02:18
1
I feel the answer should be D.7 if the question asks for the number that is at the hundredth place of the sum of the first 10 terms.
Even when calculating the exact value, the sum stands at 3,703,703,700
Carcass Kindly let me know in case I have misunderstood.
Even when calculating the exact value, the sum stands at 3,703,703,700
Carcass Kindly let me know in case I have misunderstood.
Re: A sequence of terms is given as 3, 33, 333, 3333 What is the hundred
[#permalink]
03 Jun 2024, 02:28
03 Jun 2024, 02:28
Expert Reply
No sir my bad. You are totally correct. I double-checked the answer and fixed it.
It is D
3
33
333
3333
--------------
+ 3333333333
When first 10 terms of this sequence are added, 3 is added 10 times (30) at units digit. Hence, in the sum, 0 is written at units place and 3 is carried over.
Now 3 is added 9 times at tens digit and there is one 3 from carry over (27 + 3). Hence, 0 goes to tens place in the sum and 3 is carried over again.
3 is added 8 times at hundreds digit and there is one 3 from carry over (24 + 3). Hence, 7 goes to hundreds place in the sum and 2 is carried over.
Hence, (D) is the answer.
It is D
3
33
333
3333
--------------
+ 3333333333
When first 10 terms of this sequence are added, 3 is added 10 times (30) at units digit. Hence, in the sum, 0 is written at units place and 3 is carried over.
Now 3 is added 9 times at tens digit and there is one 3 from carry over (27 + 3). Hence, 0 goes to tens place in the sum and 3 is carried over again.
3 is added 8 times at hundreds digit and there is one 3 from carry over (24 + 3). Hence, 7 goes to hundreds place in the sum and 2 is carried over.
Hence, (D) is the answer.
