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. 5, 0, 3
B. 2, 2, 4
C. 3, 0, 3
D. 2, 4, 2
Solution(By Examveda Team)
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, gievs quotient = 17, remainder = 4.
17 divided by 5, quotient = 3, remainder = 2
3 divide by 4 gives remainder 3.
So far first condition satisfied . Now,
123 divide by 8, quotient = 15, remainder = 3
15 divided by 5, quotient = 3, remainder = 0
3 divided by 6, remainder = 3.
This Question Belongs to User Ask Question >> Miscellaneous
Join The Discussion
Comments ( 3 )
Which of the following is not a primary function of a Bank?
A. Granting Loans
B. Collecting Cheques/Drafts customers
C. Facilitating import of goods
D. Issuing Bank Drafts
A. Regulatory jurisdictional fight between SEBI and IRDA
B. They don’t offer better tax benefits
C. They offer lesser returns compared to traditional insurance policies
D. All of the above
The Chameli Devi Jain Award is given for an outstanding woman ____?
A. Scientist
B. Reporter
C. Player
D. Teacher
In solution, HIT and TRIAL method has been used. It means you have to choose a proper value for X. So, it totally depends on you common sense what you choose for the value of X. @Kunal
How can you consider to select only 17
17 when divided by 5 how can the remainder be 3?????