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1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
$0.2+0.22+0.022+\ldots \ldots \ldots$. up to $n$ terms is equal to
A
$\frac{2}{9}-\frac{2}{81}\left(1-10^{-n}\right)$
B
$\frac{2}{9}\left[n-\frac{1}{9}\left(1-10^{-n}\right)\right]$
C
$\frac{2}{9}\left(1-10^{-n}\right)$
D
$\frac{n}{9}\left(1-10^{-n}\right)$
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The digits of a three-digit number taken in an order are in geometric progression. If one is added to the middle digit, they form an arithmetic progression. If 594 is subtracted from the number, then a new number with the same digits in reverse order is formed. The original number is divisible by
A
19
B
11
C
421
D
4
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

Consider an infinite geometric series with first term '$$a$$' and common ratio '$$r$$'. If the sum of infinite geometric series is 4 and the second term is $$\frac{3}{4}$$ then

A
$$ a=1 \quad r=-\frac{3}{4} $$
B
$$ a=3 \quad r=\frac{1}{4} $$
C
$$ a=-3 \quad r=-\frac{1}{4} $$
D
$$ a=-1 \quad r=\frac{3}{4} $$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If two positive numbers are in the ratio $$3+2 \sqrt{2}: 3-2 \sqrt{2}$$, then the ratio between their A.M (arithmetic mean) and G.M (geometric mean) is

A
$$3: 4$$
B
$$6: 1$$
C
$$3: 2$$
D
$$3: 1$$
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