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Integers — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSIntegers1 Mark
MCQ
The statement "When an integer is added to itself, the sum is greater than the integer" is:
  • A
    Always true.
  • B
    Never true.
  • ✓
    True only when the integer is positive.
  • D
    True for non-negative integers.
✓

Answer

Correct option: C.
True only when the integer is positive.
Suppose we take two integers one positive $(+1)$ and other negative $-1$.
On adding $1$ to itself, we get $1 + 1 = 2.$
Here, the sum is greater than the integer $(+1).$
Again, adding $-1$ to itself, we get $-1 + (-1) = -1 -1 = -2$ Here, the sum is less than the integer $-1.$
Hence, the given statement is true only when the integer is positive.

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