Register

Finding the divisor

2,372 views
1 1 vote

A number when divided by a divisor leaves a remainder of $24$. When twice the original number is divided by the same divisor, the remainder is $11$. What is the value of the divisor?

  1. $12$
  2. $13$
  3. $35$
  4. $37$
  5. $59$

1 Answer

Best answer
3 3 votes
Lets say x is the number and divisor is k

We can write x= qk+24

2x=2(qk+24)=2qk+48=2qk+37+11

Since the remainder is 11 both 2qk and 37 must be divided by k. Note that since remainder was 24 earlier k>24. From options only 37 divided 37.
• selected by
Voting & Accepting an answer helps improve the community
← Previous · TCS DIGITAL APTINext → · If 3x-2y=8, then 4y-...
← Previous in category · TCS DIGITAL APTINext in category → · If 3x-2y=8, then 4y-...
Position:
Show:

Related questions

2 2 votes
4 4 answers
13.0k
13.0k views
kangsheng asked Nov 21, 2025
12,976 views
Probability Question: What is the chance that two randomly selected people share the same birthday?
Two people are selected at random from a group, assuming that:Each day of the year is equally likely to be a birthday.There are 365 days in a year (ignoring leap years).B...
2 2 votes
3 answers 3 answers
8.8k
8.8k views
Mk Utkarsh asked Dec 3, 2017
8,762 views
A shopkeeper sells two computers for Rs 24000 each. On first he gained 20% and on the other, he lost 20%. What is the overall gain or loss percentage?
1 1 vote
1 1 answer
3.0k
3.0k views
learner_geek asked Oct 30, 2017
2,986 views
what is the difference between
What is the difference between $(\log^2) (n),\log^2 n, \log (\log(n))$ and $(\log(n)) ^2?$
2 2 votes
1 1 answer
5.2k
5.2k views
suvasish pal asked Aug 21, 2017
5,243 views
20 men can do a work in c/2 days & 30 women can do the same work in c/3 days then how many days will take to complete the work when 20 men &30wmen work together
20 men can do a work in c/2 days & 30 women can do the same work in c/3 days then how many days will take to complete the work when 20 men &30wmen work togethera)5c/6b)c/...
0 0 votes
1 answers 1 answer
12.1k
12.1k views
thehobo03 asked May 11, 2017
12,130 views
x, y and z are the positive integers such that x > y > z. Which of the following is closest to the product xyz?
x, y and z are the positive integers such that x y z. Which of the following is closest to the product xyz?xy(z-1)(x-1)yz(x-y)xyx(y+1)zPlease describe the solution in d...