Aptitude and Reasoning Questions

Q:

X and Y together can do a piece of work in 30 days. Y and Z together can do the work in 20 days. X starts the work and works for 15 days then Y takes that work and works for 27 days. Finally Z finishes the remaining work in 9 days. In how many days Y alone can complete the entire work?

 

A) 60 B) 45
C) 50 D) 65
 
Answer & Explanation Answer: A) 60

Explanation:
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Filed Under: Time and Work
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Q:

If 15 men 4 hours per day works for 14 days get Rs.35/- then how many men required if the work is 8 hours per day for 10 days they get 50/- ?

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: D) 15

Explanation:

We know M1×D1×H1W1 = M2×D2×H2W2 

 


=> 15×4×1435 = M×8×1050

 

=> M = 15

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Filed Under: Logic
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Q:

x, y and z are three numbers such that x is 30% of z and y is 40% of z. If x is p% of y, then what is the value of p?

A) 45 B) 55
C) 65 D) 75
 
Answer & Explanation Answer: D) 75

Explanation:

x = 30% of z = 30z/100 = 3z/10

y = 40% of z = 40z/100 = 4z/10

According to the question,(x/y)*100 = p%

p% = 3z/100/4z/100×100= 75%

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Filed Under: Percentage
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3 2902
Q:

Refer the below table and answer the question.

What percent students who chose engineering are girls?

A) 21.05 B) 10
C) 20 D) 26.67
 
Answer & Explanation Answer: A) 21.05

Explanation:
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0 2901
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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Filed Under: Arithmetical Reasoning
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9 2901
Q:

The areas of three consecutive faces of a cuboid are 12 cm², 20cm² and 15 cm², then the volume (in cm³) of the cuboid is

A) 60 B) 55
C) 45 D) 40
 
Answer & Explanation Answer: A) 60

Explanation:

From the given data,

let the length, breadth and height of the cuboid are m, n, r

m x n = 12

n x r = 20

r x m = 15

 

Hence, m x n x n x r x r x m = 12 x 20 x 15

mnr = sqrt of (12x20x15) = 60 cub.cm.

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Filed Under: Volume and Surface Area
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11 2900
Q:

In a certain code language, "DONKEY" is written as "YEKNOD". Howis "RAINBOW" written in that code language?

A) WOBNAIR B) WOBNIAR
C) WONBAIR D) WOBNRAI
 
Answer & Explanation Answer: B) WOBNIAR

Explanation:
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Filed Under: Coding and Decoding
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Q:

The expression of 5008 km in scientific notation is

A) 50.08 x 10^3 kms B) 5.008 x 10^-3 kms
C) 5.008 x 10^3 kms D) 500.8 x 10^3 kms
 
Answer & Explanation Answer: C) 5.008 x 10^3 kms

Explanation:

We know that, any decimal number when multiplied by the multiples of 10, the decimal point moves to right the number of zeroes in the multiplying number.

 

For example :: 

0.0410 x 100 = 4.10 (Number of zeros in 100 are 2. So, the decimal point in 0.0410 moves two places to the right and becomes 4.10.)

 

Similarly, here in the option C) 5.008 x 10^3 kms it makes 5008 kms as the number of zeros in 10^3  i.e,  1000 are 3 and 5.008 becomes 5008.

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Filed Under: Arithmetical Reasoning
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