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Class 12 · Mathematics
→On (A={0,1,2}), (a*b) is the remainder when (a+b) is divided by (3). What is the value of (2*2)?
Class 12 · Mathematics
→On real numbers, (a*b=a+b-ab) is defined. Which element does not have an inverse?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+\lambda ab) is defined. If (\lambda\neq 0), which element will not have an inverse?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+\lambda ab) is defined. For which (\lambda) will (0) be the identity element?
Class 12 · Mathematics
→On (A={1,2,3,6}), (a*b=\operatorname{lcm}(a,b)) is defined. Which element is the inverse of (6), if the identity is (1)?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (a*b=\gcd(a,b)) is defined. What is the correct statement about the inverse of (4), if identity is assumed to be (6)?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+ab) is defined. Evaluating (1*2*3) from left to right as ((1*2)*3), what is the value?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+ab) and (f(x)=x+1) are given. What is (f(a*b)) equal to?
Class 12 · Mathematics
→On positive integers, (a*b=\gcd(a,b)) is defined. Does this operation have an identity element?
Class 12 · Mathematics
→On positive integers, (a*b=\operatorname{lcm}(a,b)) is defined. What is the identity element of this operation?
Class 12 · Mathematics
→On (A={0,1}), (a*b) is the remainder when (a+b) is divided by (2). Which statement is correct for this operation?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+2) and (a\circ b=a+b-2) are defined. What is the value of (3*(4\circ 5))?
Class 12 · Mathematics
→On positive real numbers, (a*b=ab) is defined. Choose the correct option about (a*b=b*a) and ((a*b)*c=a*(b*c)).
Class 12 · Mathematics
→On real numbers, (a*b=a+b+1) is defined. What will be the inverse of (a) in this operation?
Class 12 · Mathematics
→On real numbers, (a*b=a^2+b^2) is defined. Choose the correct conclusion about this operation.
Class 12 · Mathematics
→On natural numbers, (a*b=a-b) is defined. Why is it not a binary operation?
Class 12 · Mathematics
→On integers, (a*b=a+b+2ab) is defined. Is this a binary operation on integers?
Class 12 · Mathematics
→On real numbers, (a*b=a+b-3) is defined. Which statement is correct?
Class 12 · Mathematics
→On real numbers, (a*b=a+b-ab) is defined. What is the inverse of (3) with respect to this operation?
Class 12 · Mathematics
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