Explanation

2:7 :: X:49

7*X = 2*49

7X=98

x=98/7

X=14

Explanation

- Average of 5 quantities = 6  

  So, total sum of 5 = 5 × 6 = 30  

- Average of 3 quantities = 4  

  So, total sum of 3 = 3 × 4 = 12  

- Sum of remaining 2 = 30 − 12 = 18  

- Average of remaining 2 = 18 ÷ 2 = 9

Explanation

Average of 5, 6, 7, and X = 10

Use the average formula:

(5 + 6 + 7 + X) / 4 = 10

Add the numbers:

(18 + X) / 4 = 10

Multiply both sides by 4:

18 + X = 40

Now solve for X:

X = 40 - 18 = 22

Explanation

To find the arithmetic mean between 4 and 6:

(4 + 6) / 2 = 10 / 2 = 5

Explanation

100x​×60=48
x×0.6=48
x=48/0.6​

$$x=80$$

Explanation

• A man is standing upside down with his face towards the south.
• Normally, if a person stands upright facing south, their left hand points east and right hand points west.
• When flipped upside down, the directions of their hands do not change relative to their body.

Thus, the left hand will still point east

Explanation

A data bus is a set of parallel wires or lines that carry data in binary form.

- Each data line carries 1 bit of data.

- So, if a bus has 32 data lines, it can carry:

  32 lines × 1 bit per line = 32 bits

Explanation

To find the perimeter of a square when the area is 2304 m²:

1. Area of a square = side²  

   So, side = √2304 = 48 m

2. Perimeter = 4 × side = 4 × 48 = 192 m

Explanation

840 + 14 + 40 = 894

Explanation

Let the average after 17th innings = x

Then average after 16th innings = (x - 3)

Therefore 16 × (x - 3) + 87 = 17x

Therefore x = 39