74
Q:

# In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

 A) 18 B) 36 C) 45 D) None of these

Explanation:

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.

Q:

3 divided by 1/3?

 A) 1 B) 0 C) 9 D) None

Explanation:

3 divided by 1/3

=> $\frac{3}{\frac{1}{3}}$

= 3 x 3/1

= 9

2 26
Q:

How much does a gallon of water weigh?

 A) 2.741 kgs B) 2.956 kgs C) 3.418 kgs D) 3.785 kgs

Explanation:

1 Gallon = 3.785 kgs

Gallon is a unit of measurement of liquid.

We know that 1 gallon = 3.785 liters

But we know that,

1 cubic meter = 1000 lit or 1000 kgs

=> 1 lit = 1 kg

Hence,  1 gallon = 3.785 lit = 3.785 kgs.

3 24
Q:

0 divided by 0

 A) 0 B) 1 C) Undefined D) Indeterminate

Explanation:

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.

6 53
Q:

How Many Hours Is 100 Miles?

It depends on the speed with what you are travelling.

• For example, if you have travelled 100 miles and it took 2.5 hours to do it, then that is 100 miles = 2.5 hrs for you.

And the Average Speed is given by 100/2.5 = 40 miles per 1hour.

82
Q:

What are the Multiples of 18?

 A) 144 B) 72 C) 306 D) All the above

Explanation:

The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....

• Multiples of 18 are nothing but numbers which are divisible by 18 leaving remainder 0.

• An infinite number of multiples of 18 can be achieved by adding 18 to each subsequent multiple.

4 94
Q:

7 is to 34 as 5 is to

 A) 33 B) 24 C) 54 D) 41

Explanation:

We can get this by any of two explanations.

7 = 3 + 4  = 34

Similarly, 5 = 4 + 1  = 41

7 - 3 = 4  => 34

Similarly, 5 - 4 = 1  => 41

6 79
Q:

How many feet are in a meter?

 A) 3.214 B) 3.28084 C) 3.2516 D) 3.21456

Explanation:

We know that,

1 meter = 100 cms.

=> 1 meter = 3.28084 feet.

13 322
Q:

If the LCM and HCF of two numbers are equal, then the numbers must be

 A) Prime Numbers B) Composite Numbers C) Equal D) Co- prime Numbers