32
Q:

# A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?

 A) 28 B) 29 C) 31 D) 35

Explanation:

Clearly, we have :

A = B - 3 ...(i)

D + 5 = E ...(ii)

A+C = 2E ...(iii)

B + D = A+C = 2E ...(iv)

A+B + C + D + E=150 ...(v)

From (iii), (iv) and (v), we get: 5E = 150 or E = 30.

Putting E = 30 in (ii), we get: D = 25.

Putting E = 30 and D = 25 in (iv), we get: B = 35.

Putting B = 35 in (i), we get: A = 32.

Putting A = 32 and E = 30 in (iii), we get: C = 28.

Q:

Which is called 'OFF State' in binary?

 A) 4 B) 3 C) 2 D) 1

Explanation:

'0' is called OFF State in Binary...

2 6
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

5 32
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.

5 27
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 54
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.

84
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 95
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 87
Q:

How many feet are in a meter?

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