1
KCET 2022
MCQ (Single Correct Answer)
+1
-0

Let the relation $$R$$ is defined in $$N$$ by $$a R b$$, if $$3 a+2 b=27$$ then $$R$$ is

A
$$\{(1,12)(3,9)(5,6)(7,3)\}$$
B
$$\left\{\left(0, \frac{27}{2}\right)(1,12)(3,9)(5,6)(7,3)\right\}$$
C
$$\{(1,12)(3,9)(5,6)(7,3)(9,0)\}$$
D
$$\{(2,1)(9,3)(6,5)(3,7)\}$$
2
KCET 2021
MCQ (Single Correct Answer)
+1
-0

In a certain two $$65 \%$$ families own cell phones, 15000 families own scooter and $$15 \%$$ families own both. Taking into consideration that the families own at least one of the two, the total number of families in the town is

A
20000
B
30000
C
40000
D
50000
3
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$n(A)=2$$ and total number of possible relations from Set A to set B is 1024, then $$n(B)$$ is

A
512
B
20
C
10
D
5
4
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$A=\{1,2,3,4,5,6\}$$, then the number of subsets of A which contain at least two elements is

A
64
B
63
C
57
D
58
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