1
KCET 2023
+1
-0

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

A
$$\left\{\left(0, \frac{27}{2}\right),(1,12),(3,9),(5,6),(7,3)\right\}$$
B
$$\{(1,12),(3,9),(5,6),(7,3),(9,0)\}$$
C
$$\{(2,1),(9,3),(6,5),(3,7)\}$$
D
$$\{(1,12),(3,9),(5,6),(7,3)\}$$
2
KCET 2022
+1
-0

Suppose that the number of elements in set $$A$$ is $$p$$, the number of elements in set $$B$$ is $$q$$ and the number of elements in $$A \times B$$ is 7, then $$p^2+q^2=$$

A
50
B
51
C
42
D
49
3
KCET 2022
+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
$$\{(2,1)(9,3)(6,5)(3,7)\}$$
4
KCET 2021
+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
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