Explanation

2 * 2 = 4

3 * 3 = 9

4 * 4 = 16

5 * 5 = 25

6 * 6 = 36

Therefore, the series is 2, 4, 3, 9, 4, 16, 5, 25,36.

Explanation

Explanation

Explanation

Let the speed of the slower friend be $x$ km/h, then the speed of the faster friend is$x+2$ km/h.

After 1 hour, their total distance apart is the sum of their speeds:

$$x+(x+2)=10$$

Simplifying:

2x+2=10

$$2x=8\Rightarrow$$x=4km/h

So, the slower friend's speed is 4 km/h, and the faster friend's speed is $4 + 2 = 6$ km/h.

Explanation

Explanation

Explanation

Explanation

In an arithmetic progression (AP), the nth term is given by the formula

Tn=a+(n−1)⋅d

Where:

a is the first term

d is the common difference,

n is the term number.

For the given AP:

First term a=2,

Common difference  d=11−2=9,

We are looking for  n when the term is 290.

Let the given AP contain n terms.

Tn = 290

=> a + (n – 1)d = 290

=> 2 + (n – 1)9 = 290

=> 2 + 9n – 9 = 290

=> 9n = 297

=> n = 33

Thus, the 33 term of the AP is 290.

Explanation

We are given:

x+y=10

xy=20

The sum of the reciprocals of the two numbers is: 1/x+1/y =x+y/xy

Substitute the given values:

=10/20

=1/2

Explanation

She spent 4/9 of her money, which means she spent (4/9)x rupees.

She has 25 rupees left, which means she has (5/9)x rupees left (since 1 - 4/9 = 5/9).

We know that (5/9)x = 25, so we can solve for x:

x = 25 x (9/5)

x = 45

So, the girl had 45 rupees initially.

She spent (4/9) x 45 = 20 rupees.

The correct answer is: 20