Explanation

Total number of balls = 6 black + 8 white = 14 balls

Number of white balls = 8

Probability of drawing a white ball = Number of white balls / Total number of balls

= 8/14

= 4/7

So, the probability of drawing a white ball is 4/7.

Explanation

Half of 1 percent is:

(1/2) x 1% = (1/2) x 0.01 = 0.005

Explanation

We are given:

(125)^(4/3)

Step 1: Rewrite 125 as a power of 5:
125 = 5³

So:
(125)^(4/3) = (5³)^(4/3)

Step 2: Apply exponent rule:
(5³)^(4/3) = 5^(3 × 4/3) = 5⁴ = 625

Explanation

Explanation

Given Four digits are 0,3,5,8

To write the smallest 4-digit numbers using the above digits, we must arrange them in ascending order.

Here, we get

0358 = 358 [It has only 3 digits ]

3058

Therefore,

The smallest 4-digit number using

0,3,5,8 is 3058.

Explanation

No. of digits in 1-digit page nos. = 1x9 = 9.

No. of digits in 2-digit page nos. = 2 x 90 = 180.

No. of digits in 3-digit page nos. = 3 x 900 = 2700.

No. of digits in 4-digit page nos. = 3189 - (9 + 180 + 2700) = 3189 - 2889 = 300.

Therefore No. of pages with 4-digit page nos. = (300/4) = 75.

Hence, total number of pages = (999 + 75) = 1074.

Explanation

Distance = 3250 km

Time = 65 hours

Average speed of car = Distance / Time

= 3250 / 65

= 50 km/h

Given that the average speed of the bus is 3/5 of the car's speed:

Average speed of bus = (3/5) * 50

= 30 km/h

Explanation

To find the average speed for the entire journey, let's assume the total distance traveled is 3x (since he travels equal distances at each speed).

Let's denote the speeds as:

S1 = 40 km/h

S2 = 30 km/h

S3 = 15 km/h

Time taken for each segment:

T1 = x / 40

T2 = x / 30

T3 = x / 15

Total time = T1 + T2 + T3

= x / 40 + x / 30 + x / 15

To find the common denominator (120):

Total time = 3x / 120 + 4x / 120 + 8x / 120

= 15x / 120

Total distance = 3x

Average speed = Total distance / Total time

= 3x / (15x / 120)

= 3 * 120 / 15

= 24

Explanation

7 spiders make 7 webs in 7 days.

This means 1 spider makes 1 web in 7 days.

Explanation

Days in which 40 cows eat 40 bags of husk = 40 days

Days in which 1 cow eat 40 bags of husk = 40 * 40 days

Days in which 1 cow eat 1 bag of husk = (40 * 40) / 40 bags

In a dairy form 40 cows eat 40 bags of husk in 40 days, In 40 days one cow will eat one bag of husk