Verbal Reasoning - Mental Ability Questions

Q:

The binary system uses powers of

A) 0 B) 1
C) 2 D) None of the above
 
Answer & Explanation Answer: C) 2

Explanation:

Binary system is what the representation uses only two digits 0 & 1.

It uses only the powers of 2.

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Q:

If 3 @ 3 * 3 = 3 and 48 @ 4 * 3 = 36, then 91 @ 13 * 2 = ?

A) 4 B) 8
C) 10 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:
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Q:

In the following question, a matrix of certain characters is given.These characters follow a certain trend, row-wise or column wise.Find out this trend and choose the missing character accordingly.

13 12 5
17 15 8
25 24 ?

29

21 20

A) 7 B) 9
C) 11 D) 15
 
Answer & Explanation Answer: A) 7

Explanation:

 Clearly, (3rd column)2 + (2nd column)2 = (1st column)2
In the first row, 52 + 122 = 132.
In the second row, 82 + 152 = 172.
Let the missing number in the third row be y.
Then y2 + 242 = 252 or y2 + 576 = 625 or y2 = 49 or y = 7.

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Q:

Identify the diagram that best represents the relationship among the given classes.
Pet animals, Dog, Cat

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:
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Q:

Select the missing number from the given responses.

A) 45 B) 65
C) 70 D) 80
 
Answer & Explanation Answer: B) 65

Explanation:
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Q:

A*B means multiply A by B; A@B means divide A by B, A?B means add B to A and A=B means subtract B from A. Then find the value of 10*10 = 5*10 ? 50@10

A) 100 B) 45
C) 1000 D) 55
 
Answer & Explanation Answer: D) 55

Explanation:
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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) 76 B) 54
C) 64 D) 48
 
Answer & Explanation Answer: B) 54

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.

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Q:

0 divided by 0

A) 0 B) 1
C) Undefined D) Indeterminate
 
Answer & Explanation Answer: 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.

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