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Question

Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}

The correct answer is
21

Odd One Out: Identifying the Composite Number

The question requires identifying the number that does not share a common property with the rest of the numbers in the set {19, 37, 21, 17, 23, 29, 31, 11}. We need to analyze the properties of each number.

Number Properties Analysis

  • 19: Prime number (only divisible by 1 and 19).
  • 37: Prime number (only divisible by 1 and 37).
  • 21: Composite number (divisible by 1, 3, 7, and 21).
  • 17: Prime number (only divisible by 1 and 17).
  • 23: Prime number (only divisible by 1 and 23).
  • 29: Prime number (only divisible by 1 and 29).
  • 31: Prime number (only divisible by 1 and 31).
  • 11: Prime number (only divisible by 1 and 11).

Conclusion

All the numbers in the given set are prime numbers, except for the number 21, which is a composite number. Therefore, 21 is the odd one out.

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Important Questions from Number System

  1. What is the value of 1 2 + 2 2 + 3 2 + ......21 2 ?

  2. Which sequence is correct to represent the hierarchical chain of number system?

    (Where N - Natural Numbers

    W - Whole Numbers

    Q - Rational Numbers

    Z - Integers)

  3. What must be added to 45680 to make it exactly divisible by 9?

  4. How many zeroes are there at the end of the following product? 

    1 x 5 x 10 x 15 x 20 x 25 x 30 x 35 x 40 x 45 x 50 x 55 x 60

  5. Let XYZ be a three-digit number, where (x + y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by

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