1
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
2
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
$$ a=-1 \quad r=\frac{3}{4} $$
3
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
$$3: 1$$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

A number consists of three digits in geometric progression. The sum of the right hand and left hand digits exceeds twice the middle digit by 1 and the sum of left hand and middle digits is two third of the sum of the middle and right hand digits. Then the sum of digits of number is

A
$$\frac{1}{4}$$
B
19
C
469
D
109
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