GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A sequence of terms is given as 3, 33, 333, 3333 What is the hundred
[#permalink]
Updated on: 03 Jun 2024, 02:25
Updated on: 03 Jun 2024, 02:25
Expert Reply
1
Bookmarks
00:00
Question Stats:
44% (02:19) correct
55% (02:26) wrong based on 18 sessions
Hide Show timer Statistics
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
Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
Re: A sequence of terms is given as 3, 33, 333, 3333 What is the hundred
[#permalink]
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.
