Arithmetical Reasoning Questions

Q:

Negative plus a positive equals

A) negative B) positive
C) zero D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

We know that a negative value plus a positive value always count backward and the sign depends on the bigger value sign.

When you are adding a negative number to a positive number, then the value counts backward and takes the sign of the biggest number.

 

For example::

Adding -5 and +2

-5 + 2 = -3 (big number is 5 and its sign is '-')

 

Adding -3 and  +5

+5 + (-3) = 5 - 3 = +2(big number is 5 and it has sign '+').  

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Q:

Answer the questions based on the following information.

 

Six colleagues are sitting in a circle and are facing the center of the circle. Diana is between Puskar and Padma. Priyanka is between Mahesh and Lucky. Puskar and Mahesh are opposite to each other.

 

Who is just right to Padma?

A) Diana B) Lucky
C) Puskar D) Priyanka
 
Answer & Explanation Answer: A) Diana

Explanation:
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Q:

Negative divided by Negative

A) -ve B) +ve
C) 0 D) Can't be determined
 
Answer & Explanation Answer: B) +ve

Explanation:

We know the Mathematical rules that

 

++ = ++- = --+ = --- = +

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Q:

Select the option that represents the number of parallelograms in the given figure.

 

 

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

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:

9 tens 10 ones equals

A) 910 B) 90
C) 91 D) 100
 
Answer & Explanation Answer: D) 100

Explanation:

9 tens 10 ones equals

=> 9 x 10 + 10 x 1

=> 90 + 10

=> 100.

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Q:

Two angles whose sum is 180 degrees are

A) Complimentary angles B) Supplementary angles
C) Alternate angles D) None of the above
 
Answer & Explanation Answer: B) Supplementary angles

Explanation:

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

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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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