Consider all3andminus;digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

RRB NTPC/ASM/CA/TA Exam > RRB NTPC/ASM/CA/TA Questions > Consider all3−digit numbers (without re...

Join the Discussion on the App

Consider all 3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of 3. Let S be their sum.
Which of the following is/are correct?

S is always divisible by 74.
S is always divisible by 9.

select the correct answer using the code given below:

a)
1 only
b)
2 only
c)
Both 1 and 2
d)
Neither 1 nor 2

Correct answer is option 'C'. Can you explain this answer?

FREE This question is part of

Railway TTE Mock Test - 6

Attempt Test

Attempt this Test

Most Upvoted Answer

Consider all3−digit numbers (without repetition of digits) obtai...

Given,
Digits are non-zero and multiple of 3 i.e., 3, 6, 9.
Number doesn't have repetition of digits.
The numbers thus formed are
369, 396, 639, 693, 936, 963
Sum of these numbers =3996 and it is divisible by both 74 as well as 9.

Answered by Bayshore Academy · View profile

Free Test

FREE

Railway TTE Mock Test - 6
130 Ques | 90 Min

Start Free Test

View all free RRB NTPC/ASM/CA/TA tests

Community Answer

Consider all3−digit numbers (without repetition of digits) obtai...

Explanation:

Sum of 3-digit numbers with three nonzero digits
- The three nonzero digits which are multiples of 3 are 3, 6, and 9.
- We can form 6 numbers with these digits: 369, 396, 639, 693, 936, 963.

Calculating the sum (S)
- Sum of all these numbers is S = 369 + 396 + 639 + 693 + 936 + 963 = 3996.
- S = 3996, which is divisible by 74 and 9.

Verification of Divisibility
- To check if S is divisible by 74, calculate S % 74. If the remainder is 0, then it is divisible by 74.
- 3996 % 74 = 0, so S is divisible by 74.
- To check if S is divisible by 9, calculate the sum of the digits of S. If the sum is divisible by 9, then S is also divisible by 9.
- Sum of digits of 3996 = 3 + 9 + 9 + 6 = 27, which is divisible by 9.

Conclusion
- Both statements are correct.
- Therefore, the correct answer is option C - Both 1 and 2.

Share via Whatsapp

Attention RRB NTPC/ASM/CA/TA Students!

To make sure you are not studying endlessly, EduRev has designed RRB NTPC/ASM/CA/TA study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in RRB NTPC/ASM/CA/TA.

Mathematics for RRB NTPC / ASM

General Awareness & Knowledge

Tips & Tricks for Government Exams

Current Affairs & Hindu Analysis: Daily, Weekly & Monthly

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for RRB NTPC/ASM/CA/TA exam

Similar RRB NTPC/ASM/CA/TA Doubts

Consider the following statements regarding Lord Macaulay. He emphasised the need to teach vernacular languages to Indians to promote oriental studies. Following Macaulay’s minute, the English Education Act of 1835 was introduced. He issued the order for Wood’s Despatch to India.Which of the following statements given above is/are correct?

View answer

Consider the following statements regarding Subhash Chandra Bose views. Bose considered industrialization as a potent factor in making India strong and self-sufficient. Bose did not share Gandhian ideal of “Ahimsa”.Which of the following statements given above is/are correct?

View answer

Consider the following statements with respect to Jainism: The practice of agriculture was considered sinful, according to Jainism. The first Jain Council was convened at Pataliputra by the leader of the Digambaras.Which of the following above given statements are correct?

View answer

Consider the following statements regarding Veda Samaj. It was established in Madras. It was another part of Brahmo Samaj formed due to differences in core ideologies. Its members believed in one God. The Samaj showed the deeper scientific truth behind the simple day-to-day rituals of orthodox Hinduism.Which of the following statements given above is/are correct?

View answer

Consider the following statements regarding Bhakti saints.1. Saint Kabir is famous for his dohas (couplets).2. Tulsidas wrote Ramacharithamanas, one of the most revered Hindu texts.Which of the above statements is/are correct?

View answer

Top Courses for RRB NTPC/ASM/CA/TAView all

Mathematics for RRB NTPC / ASM

General Awareness & Knowledge

Tips & Tricks for Government Exams

Current Affairs & Hindu Analysis: Daily, Weekly & Monthly

Crash Course for RRB NTPC/ASM/CA/TA

Top Courses for RRB NTPC/ASM/CA/TA

View all

Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2024 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer?.

Solutions for Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for RRB NTPC/ASM/CA/TA. Download more important topics, notes, lectures and mock test series for RRB NTPC/ASM/CA/TA Exam by signing up for free.

Here you can find the meaning of Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider all3−digit numbers (without repetition of digits) obtained using three nonzero digits which are multiples of3. LetSbe their sum.Which of the following is/are correct? S is always divisible by74. Sis always divisible by9.select the correct answer using the code given below:a)1onlyb)2onlyc)Both1and 2d)Neither1nor 2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice RRB NTPC/ASM/CA/TA tests.

Explore Courses for RRB NTPC/ASM/CA/TA exam