The question is from CAT Remainders. We need to find out the posssible remainders when a number is divided by 'a', given the remainder when it is divided by 'b'. When we divide 24 pigeons into 5 groups, 4 are left out or remain. This is the remainder. When there is a question based on this idea in the exam, we have a CAT among the pigeons.
Question 3: A number when divided by 18 leaves a remainder 7. The same number when divided by 12 leaves a remainder n. How many values can n take?
Number can be 7, 25, 43, 61, 79.
Remainders when divided by 12 are 7 and 1.
n can take exactly 2 values
The question is "How many values can n take?"
Choice A is the correct answer.
CAT® (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.
2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078