DIRECTION for the question: Solve the following question and mark the best possible option. How many times will you write even numerals if you write all the numbers from 291 to 307?

Question

Find the number of integers $n$ such that $1 \leq n \leq 100$ and $n^2 + 3n + 2$ is divisible by 5.

Answer 1

Step 1: Understanding the Concept:
Identify a mathematical property (like squares or cubes) that links the majority of the numbers.
Step 2: Detailed Explanation:
- $27 = 3^3$ - $125 = 5^3$ - $343 = 7^3$ - $729 = 9^3$ (also $27^2$)
Step 3: Calculation:
All numbers except 1321 are perfect cubes of odd numbers. 1321 is not a perfect cube (the nearest cube is $11^3 = 1331$).
Step 4: Final Answer:
1321 is the odd one out. Thus, the correct option is (e).

DIRECTION for the question: Solve the following question and mark the best possible option. How many times will you write even numerals if you write all the numbers from 291 to 307?

Show Hint

The Correct Option is A

Solution and Explanation

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