Explanation

Do LCM of 18,21,and 24 ...

u will get 6*3*4*7.

So our answer is 504.

Explanation

To find the solution, first, calculate the total man-days required for the job: 36 men * 18 days = 648 man-days.

Then, divide the total man-days by the new number of men (27) to find the new number of days: 648 man-days / 27 men = 24 days.

So, the correct answer is 24.

Explanation

To solve this problem, we can use the concept of man-days:

8 people × 60 days = 480 man-days

Since the amount of work remains the same, we can set up an equation for 6 people:

6 people × x days = 480 man-days

To find the number of days, divide 480 by 6:

x = 480 ÷ 6

x = 80 days

Explanation

Man climbs 20 yards and slips down 5 yards in one minute

i.e. he climbs (20-5 = 15 yards) in one minute.

But in the last minute, he will be climbing 20 yards as he gets on the top so no slip.

Time taken to climb 80 yards = 60/15 + 1

                                                   = 5 minutes.

He climbs the hill in 5 minutes

Explanation

Given:

x ∝ 1/y

y ∝ 1/z

We can rewrite these proportions as:

x = k₁/y (where k₁ is a constant)

y = k₂/z (where k₂ is a constant)

Substitute the expression for y into the first equation:

x = k₁/(k₂/z)

Simplify:

x = k₁z/k₂

x ∝ z

Explanation

Altitude is the shortest perpendicular distance from the base to the opposite vertex in a geometric figure (such as a triangle).

Median, on the other hand, is a line segment joining a vertex to the midpoint of the opposite side.

Explanation

To find the commission percentage:

Commission = Rs. 25

Sales = Rs. 250

Commission percentage = (Commission / Sales) × 100

= (25 / 250) × 100

= 10%

Explanation

To find the sale price, calculate 20% of the listed price (Rs. 160) and subtract that amount from the listed price.

20% of Rs. 160 = (20/100) x Rs. 160 = Rs. 32

Now, subtract Rs. 32 from Rs. 160:

Rs. 160 - Rs. 32 = Rs. 128

So, the correct answer is:

Rs. 128

Explanation

Equilateral Triangle Three equal angles, always 60

all sides are of equal length (equilateral), and all  angles are right angles. 

A triangle that has no equal sides and no equal angles is known as a Scalene Triangle

while 

if two sides of a triangle are of equal length, then it is called. Isosceles triangle

Explanation

Integers (like -2, 0, 3) can be written as a ratio (e.g., -2 = -2/1), so they are part of rational numbers.

Rational numbers include all numbers that can be expressed as p/q, where q ≠ 0.