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When a number is successively divided by 7,5 and 4, it leaves remainders of 4,2 and 3 respectively. What will be the respective remainders when the smallest such number is successively divided by 8,5 and 6 ?
- a)3,0,3
- b)2,2,4
- c)5,0,3
- d)2,4,2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
When a number is successively divided by7,5and4, it leaves remainders ...
The number would be in the form of (7X+4) as when this number is divide by 7, will give remainder 4.
Now, we will try hit and trial method to obtained the number.
Put, X=17, then
7X+4=7×17+4=119+4=123
Now, when 123 divided by 7, gives quotient 17 , remainder =4
17 divided by 5, quotient =3, remainder =2
3 divide by 4 gives remainder 3.
So for first condition satisfied.
Now, we will try hit and trial method to obtained the number.
Put, X=17, then
7X+4=7×17+4=119+4=123
Now, when 123 divided by 7, gives quotient 17 , remainder =4
17 divided by 5, quotient =3, remainder =2
3 divide by 4 gives remainder 3.
So for first condition satisfied.
Now, 123 divided by 8, quotient =15, remainder =3
15 divided by 5, quotient =3, remainder =0
3 divided by 6, remainder =3.
15 divided by 5, quotient =3, remainder =0
3 divided by 6, remainder =3.
Most Upvoted Answer
When a number is successively divided by7,5and4, it leaves remainders ...
When we say that the number is successively divided by 7, 5 and 4, we should get an expression like this:
((((4K+3)*5)+2)*7)+4
Now, putting K=1, we get 263. We can verify by dividing with the given numbers.
As explained, question is incorrect.
((((4K+3)*5)+2)*7)+4
Now, putting K=1, we get 263. We can verify by dividing with the given numbers.
As explained, question is incorrect.
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Community Answer
When a number is successively divided by7,5and4, it leaves remainders ...
998 when divided by 3 gives reminder 2 and in question it is mentioned that when the number is divided by 3 it should give reminder 1 . so the answer should be (B) - 893
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When a number is successively divided by7,5and4, it leaves remainders of4,2and3respectively. What will be the respective remainders when the smallest such number is successively divided by8,5and6?a)3,0,3b)2,2,4c)5,0,3d)2,4,2Correct answer is option 'A'. Can you explain this answer?
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When a number is successively divided by7,5and4, it leaves remainders of4,2and3respectively. What will be the respective remainders when the smallest such number is successively divided by8,5and6?a)3,0,3b)2,2,4c)5,0,3d)2,4,2Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about When a number is successively divided by7,5and4, it leaves remainders of4,2and3respectively. What will be the respective remainders when the smallest such number is successively divided by8,5and6?a)3,0,3b)2,2,4c)5,0,3d)2,4,2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a number is successively divided by7,5and4, it leaves remainders of4,2and3respectively. What will be the respective remainders when the smallest such number is successively divided by8,5and6?a)3,0,3b)2,2,4c)5,0,3d)2,4,2Correct answer is option 'A'. Can you explain this answer?.
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