Explanation

When rounding off to the nearest 1000, look at the hundreds place (400 in this case).

Since it's less than 500, you round down to 5000.

Explanation

To find the number of pieces that can be cut, divide the length of the rod (330 cm) by the length of each piece (13.2 cm):

330 cm ÷ 13.2 cm = 25

So, 25 pieces of 13.2 cm can be cut from the 330 cm long rod.

Explanation

Average of prime numbers between 30 to 50 will be

31 + 37 + 41 + 43 + 47/5

 =

199/5

 = 39.8

Explanation

Inverse Proportion:

When one quantity increases, the other decreases in such a way that their product remains constant.

Example: Speed increases → Time to cover the same distance decreases.

Direct Proportion:

When one quantity increases, the other also increases at the same rate.

Example: More hours worked → More wages earned.

Explanation

Arithmetic mean= (18+3)/2=10.5

formula: sum of n A.M= n*A.M

4A.M=4*10.5

         =42

Explanation

The only pattern in which they can sit according to the given situation is,

BGBGBGB

Now boys can be arranged among themselves in 4! ways, and girls among themselves in 3! ways,

So total no. of ways 

= 4 ! × 3 ! = 144

Explanation

Let's solve step by step using BODMAS rule:

2 × 2 + 2 ÷ 2

= 4 + 1

= 5

Explanation

Let the number be x.

Given:

3​/11×x=22

To find x, multiply both sides by3​/11​:

x=22×11/3​=242/3​

But this gives a fractional number — let's double-check:

Actually, it's simpler to find 6/11​ of the number without finding the whole number.

We know:

3​/11​ of number =22

So, 1 part (i.e., $frac{1}{11}$) = 22/3​

Then:

6/11​=6×(22/3​)=132​/3=44

Explanation

0.005 × 0.2 = 0.001

So, the product of 0.005 and 0.2 is 0.001.

Explanation

If A = {1,2,3,4,6} B= {2,4,5,7} then B-A =?

{2,4,5,7} -  {1,2,3,4,6}

 B - A means B contains the element which is not present in A. 

{3,5,7}