Explanation

1 kilometre is equal to 1000 metres.

Explanation

Euclid was an ancient Greek mathematician active as a geometer and logician.

He established the foundations of geometry that largely dominated the field until the early 19th century.

Died: Alexandria, Egypt

Explanation

The number of pass candidates are 2 + 6 + 18 + 40 = 66 out of total 100.

Hence, Pass percentage = 66%

Explanation

Total weight of (36 + 44) Students,

= (36 × 40 + 44 × 35) kg

= 2980 kg

Therefore average weight of the whole class,

= 298080 kg.

Therefore average weight = 37.25 kg.

Explanation

80 percent of 700 is 560.

80 percent *700

= (80/100)*700

= (80*700)/100

= 56000/100 = 560

Explanation

Average is equal to sum of all numbers and divided by Total numbers

= 9+18+27+36+45 = 135/5

=27

Explanation

• Avg of 6 numbers = 30
• Sum of 6 numbers = 6 x 30 = 180
• Avg of first 4 numbers = 25
• Sum of first 4 numbers = 4 x 25 = 100
• Avg of last 3 numbers = 35
• Sum of last 3 numbers = 3 x 35 = 105
• Now, let's find the 4th number:
• Sum of first 3 numbers = Sum of first 4 numbers - 4th number
• = 100 - 4th number
• Sum of first 3 numbers = Sum of all 6 numbers - Sum of last 3 numbers
• = 180 - 105
• = 75
• So, 75 = 100 - 4th number
• 4th number = 100 - 75
• = 25

Explanation

3x-54 = 36

3x = 90

x = 30

Explanation

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours.

So, in a day, the hands point in the opposite directions 22 times.

Explanation

Let the two-digit number be xy, where x is the tens digit and y is the units digit.
The sum of its digits is x + y.
The number is three times the sum of its digits, so we can write an equation: xy = 3(x + y).
Simplify the equation: 10x + y = 3x + 3y.
Rearrange the equation to get: 7x = 2y.
Now, if 45 is added to the number, the digits are reversed, so we can write another equation: xy + 45 = yx.
Simplify the equation: 10x + y + 45 = 10y + x.
Rearrange the equation to get: 9x = 9y - 45.
Divide both sides by 9 to get: x = y - 5.
Now we have two equations:

1. 7x = 2y

2. x = y - 5

Substitute the second equation into the first equation:
7(y - 5) = 2y
Expand and simplify:
7y - 35 = 2y
5y = 35
y = 7
Now that we have found y, substitute it back into one of the original equations to find x:
x = y - 5
x = 7 - 5
x = 2
So, the original number is 27.