1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Given $$a, b, c$$ are three unequal numbers such that $$\mathrm{b}$$ is arithmetic mean of $$a$$ and $$c$$ and $$(b-a),(c-b), a$$ are in geometric progression. Then $$a: b: c$$ is

A
$$2: 3: 5$$
B
$$1: 2: 4$$
C
$$1: 2: 3$$
D
$$1: 3: 5$$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ (32) \times(32)^{\frac{1}{6}} \times(32)^{\frac{1}{36}} \times-----\infty \text { is equal to } $$

A
16
B
32
C
0
D
64
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The sum of $$n$$ terms of the series, $$\frac{4}{3}+\frac{10}{9}+\frac{28}{27}+\ldots$$ is

A
$$\frac{3^n(2 n+1)+1}{2\left(3^n\right)}$$
B
$$\frac{3^n(2 n+1)-1}{2\left(3^n\right)}$$
C
$$\frac{3^n n-1}{2\left(3^n\right)}$$
D
$$\frac{3^n-1}{2}$$
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The value of $$\frac{1}{2 !}+\frac{2}{3 !}+\ldots+\frac{99}{100 !}$$ is equal to

A
$$\frac{100 !-1}{100 !}$$
B
$$\frac{100 !+1}{100 !}$$
C
$$\frac{999 !-1}{999 !}$$
D
$$\frac{999 !+1}{999 !}$$
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