COMEDK 2026 Afternoon Shift | Sequences and Series Question 1 | Mathematics

If $\boldsymbol{k}$ is the arithmetic mean of two given quantities and $\boldsymbol{p}, \boldsymbol{q}$ are the geometric means between the same two quantities, then $\boldsymbol{p}^{\mathbf{3}}+\boldsymbol{q}^{\mathbf{3}}$ is:

$2 k p q$

$2 k \sqrt{p q}$

$2 k(p+q)$

$\frac{2 k}{p q}$

COMEDK 2026 Afternoon Shift

MCQ (Single Correct Answer)

-0

Every term of a geometric progression is positive, and every term is the sum of the two preceding terms. Then the common ratio of the geometric progression is:

$\frac{1+\sqrt{5}}{2}$

$\frac{\sqrt{5}-1}{2}$

$\frac{1-\sqrt{5}}{2}$

COMEDK 2026 Morning Shift

MCQ (Single Correct Answer)

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The product of three numbers in geometric progression is 8 and the sum of the product of the numbers taken in pairs is 14 . Find the numbers.

$$ 4,2,1 \text { and } 1,2,4 $$

$\frac{1}{4}, \frac{1}{2}, 1$ and $1, \frac{1}{2}, \frac{1}{4}$

$4 \sqrt{2}, \sqrt{2}, 1$ and $1, \sqrt{2}, 4 \sqrt{2}$

$-4,-2,1$ and $1,-2,-4$

COMEDK 2026 Morning Shift

MCQ (Single Correct Answer)

-0

Let ' $\boldsymbol{a}$ ' and ' $\mathbf{b}$ ' be two numbers where $\boldsymbol{a}<\boldsymbol{b}$. The geometric mean of these numbers exceeds the smaller number by 12 and the arithmetic mean is smaller than the larger number by 24 . Then the value of $|\boldsymbol{b}-\boldsymbol{a}|$ is:

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