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On the set of integers I, if a binary op...

On the set of integers I, if a binary operation 'o' be defined as `aob = a - b` for every `a, b in I`, then :

A

association law holds

B

commutative law holds

C

I is not closed under this operation

D

I is closed under this operation

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The correct Answer is:
D
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ARIHANT SSC-FUNDAMENTALS -EXERCISE - MISCELLANEOUS
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  3. On the set of integers I, if a binary operation 'o' be defined as aob ...

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  5. Among the expression (1 - 3p), [1 - (3P)^(2)], [1 - (3P)^(3)] and [1 -...

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  6. If the sum of three consecutive integers is 21, then the sum of the tw...

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  7. If 2s = a + b + c, then the value of (s - a)^2 + (s - b)^2 + (s - c)...

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  8. If ab + bc + ca = 0, then the value of 1/(a^2 - bc) + 1/(b^2 - ca) + 1...

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  9. If 4^(x + 3) xx 2^(x - 3) - 128 = 0 then the value of x is :

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  10. If a^m .a^n = a^(mn), then m(n - 2) + n(m- 2) is :

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  11. (6^6 + 6^6 + 6^6 + 6^6 + 6^6 + 6^6)/(3^6 + 3^6 + 3^6) div (4^6 + 4^6 +...

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  12. If a^(1//m) = b^(1//n) = c^(1//p) and abc = 1 then m + n + p is equal...

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  13. Which one of the following among the numbers -3/7, 2/3 and (-1)/3 is i...

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  16. In a problem involving division, the divisor is eight times the quotie...

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  17. Which one of the following is not correct ?

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  18. Let a/b = c/d, (where a and b are odd prime numbers) . If c > a and d ...

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  19. Which one of the following numbers belong to the given series 18,26, 3...

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