Arithmetical Reasoning Questions

We know the Mathematical rules that

$$\begin{gathered} ++ = + \\ +- = - \\ -+ = - \\ -- = + \end{gathered}$$

Two angles whose sum is 180 degrees are called supplementary angles.

The total cards in the deck are 52. These 52 cards are divided into 4 suits of 13 cards in each suit. Two Red suits and Two black suits.

Red suits :: Heart suit and Diamond suit = 26

Black suits :: Spade suit and Club suit = 26.

Let R, G and B represent the number of balls in red, green and blue boxes respectively.

Then, .

R + G + B = 108 ...(i),

G + R = 2B ...(ii)

B = 2R ...(iii)

From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.

Putting G = 3R and B = 2R in (i), we get:

R + 3R + 2R = 108 6R = 108 R = 18.

Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

To join 5 tables we require 4 joins.

Let x be number of houses and y be colors.

on the basis of question
x = 4y+1
x = 5(y-1)
on solving these 2 equations x = 25

Indeterminate are those,which mathematics can’t determine.

Because we don’t actually know which one is the exact answer for this due to having lots of results for this.

Explanation::

• Let us think by this analogy that,

0 / 1 = 0

0 / 2 = 0

…………

………..

we can say 0 / n = 0 from this we can write, 0/0 = 0

• Again, another analogy,(from limiting concept of 1/0 = infinity)

1 / 0 = +∞ or -∞

2 /0 = +∞ or -∞

………

.…….

we can say 0 / 0 = ∞

• Again, another analogy,

1 / 1 = 1

2/2 = 1

.……..

………..

we can say, 0/0 = 1

Now, you see it’s confusing. Every analog is mathematically correct then which one is the right answer for 0/0.  Therefore Mathematics can’t determine this fact.

So, 0/0 is indeterminate.