GMAT Arithmetic Progression Sample Question | GMAT Problem Solving | GMAT 650 to 700 Level Question

GMAT Prep Online | Number Properties Sample Question | Number Properties - Arithmetic Progression | Problem Solving Practice

A GMAT 650 to 700 level Arithmetic Progression Question. In this question, we are to find how many out of the first 1000 natural numbers satisfy two given conditions.

Question
In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?

A. 11
B. 14
C. 12
D. 13
E. 10

Approach:
Step 1: Find the first number common to both the sequences.
Step 2: Find the common difference of numbers common to both the sequences.
Step 3: Express the numbers common to both sequences in terms of an integer 'k'
Step 4: Find the number of terms.

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