Geometric Progression Quiz 1

Question 1

If marks of students are in GP, their marks are arranged in increasing order, if a fifth student in that order scored two marks, find the product of marks scored by the first nine students.

Accepted Answer

512

Answer

256

Answer

1024

Answer

None of these

Question 2

If A, B, C are three terms arranged in ascending order, these terms are in GP, if we are multiplying the middle term by 2, then new resultant numbers are in AP, find the value of common ratio of the given GP.

Accepted Answer

$$2 + \sqrt 3 $$

Answer

$$\sqrt 2  + \sqrt 3 $$

Answer

$$3 + \sqrt 2 $$

Answer

$$2 - \sqrt 3 $$

Question 3

If  the $${n^{th}}$$,$$2{n^{th}}$$and $$4{n^{th}}$$ terms of an AP are in GP, then common ratio of the GP is:

Accepted Answer

$$2$$

Answer

$$4$$

Answer

$$6$$

Answer

$$8$$

Question 4

The $$2{x^{th}}$$ term of a GP is $${y^2}$$ and $$2{y^{th}}$$ term is $${x^2}$$, then $${(x + y)^{th}}$$ term is:

Accepted Answer

$$xy$$

Answer

$${x^2}{y^2}$$

Answer

$$\dfrac{1}{2}{x^2}{y^2}$$

Answer

$$\dfrac{1}{4}{x^2}{y^2}$$

Question 5

The distance travelled $$	ext{(in metre)}$$ by a ball dropped from a building are $$\dfrac{{256}}{{27}},\dfrac{{128}}{9},\dfrac{{64}}{3},32……$$ , how much distance will it travel before coming to rest?

Accepted Answer

$$\dfrac{{256}}{9}$$

Answer

$$\dfrac{{128}}{{27}}$$

Answer

$$\dfrac{{256}}{{27}}$$

Answer

$$\dfrac{{128}}{9}$$