1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

$$n$$th term of the series $$1+\frac{3}{7}+\frac{5}{7^2}+\frac{1}{7^2}+\ldots$$ is

A
$$\frac{2 n+1}{7^n}$$
B
$$\frac{2 n-1}{7^n}$$
C
$$\frac{2 n+1}{7^n-1}$$
D
$$\frac{2 n-1}{7^n-1}$$
2
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$A=\{1,2,3, \ldots, 10\}$$, then number of subsets of $$A$$ containing only odd numbers is

A
31
B
27
C
32
D
30
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$a_1, a_2, a_3, \ldots, a_{10}$$ is a geometric progression and $$\frac{a_3}{a_1}=25$$, then $$\frac{a_9}{a_5}$$ equals

A
$$3\left(5^2\right)$$
B
$$5^4$$
C
$$5^3$$
D
$$2\left(5^2\right)$$
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If the set $$x$$ contains 7 elements and set $$y$$ contains 8 elements, then the number of bijections from $$x$$ to $$y$$ is

A
0
B
$$8 P_7$$
C
$$7 !$$
D
$$8 !$$
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