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Question

Which composite number can divide the sum of the first 12 natural numbers?

The correct answer is

6

The correct answer is "6." The sum of the first 12 natural numbers is 78, and 6 is the composite number that divides 78.

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Important Questions from Real Number

  1. If m and n are two positive real numbers such that 9m2 + n2 = 40 and mn = 4, then the value of 3m + n is:

  2. Consider the following statements :

    1. If n is a natural number, then the number \(\frac{n\left(n^2+2\right)}{3}\) is also a natural number.

    2. If m is an odd integer, then the number \(\frac{\mathrm{m}^4+4 \mathrm{~m}^2+11}{16}\) is an integer. 

    Which of the statements given above is/are correct ? 

  3. If 1 is added to the greatest 7-digit number, it will be equal to

  4. The largest 5-digit number having three different digits is

  5. The product of successor and predecessor of 999 is

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