1
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
$$3: 1$$
2
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
3
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

The sum of first three terms of a geometric progression is 16 and the sum of next three terms is 128 . The sum to $$\mathrm{n}$$ terms of the geometric progression is

A
$$ \frac{8}{3}\left(3^n-1\right) $$
B
$$ \frac{16}{7}\left(2^n-1\right) $$
C
$$ \frac{16}{7}\left(3^n-1\right) $$
D
$$ \frac{8}{3}\left(2^n-1\right) $$
4
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

The sum of four numbers in a geometric progression is 60 , and the arithmetic mean of the first and the last number is 18 . Then the numbers are

A
$$10,8,16,26$$
B
$$32,16,4,8$$
C
$$32,16,8,2$$
D
$$4,8,16,32$$
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