Aptitude and Reasoning Questions

Q:

A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :

A) 1 : 2 : 3 B) 3 : 4 : 15
C) 3 : 5 : 10 D) 5 : 6 : 10
 
Answer & Explanation Answer: D) 5 : 6 : 10

Explanation:

Let their initial investments be x, 3x and 5x respectively. Then,

 

A:B:C = (x*4+2x*8) : (3x*4+(3x/2)*8) : (5x*4+(5x/2)*8)

 

20x : 24x : 40x = 5 : 6 : 10          

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207 86252
Q:

Find the next number in the given series

0.25, 8, 128, 1024, ?

A) 4096 B) 2526
C) 8486 D) 2620
 
Answer & Explanation Answer: A) 4096

Explanation:

Here given series follows a pattern that

0.25, 8, 128, 1024, ?

0.25 x 32 = 8

8 x 16 = 128

128 x 8 = 1024

1024 x 4 = 4096

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5 86183
Q:

Some blades are hammers. Some hammers are knives. Some knives are axes.

Conclusions:

1. Some axes are hammers

2. Some knives are blades

3. Some axes are blades

A) None follows B) Only 1 follows
C) Only 2 follows D) Only 3 follows
 
Answer & Explanation Answer: A) None follows

Explanation:

Since each combination has of premises has 2 particular premises, so no defenite conclusion follows

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37 86066
Q:

Find the Missing number in the given Series ?

 

2, 3, 6, 15, ? , 157.5

A) 87 B) 78.5
C) 56.5 D) 45
 
Answer & Explanation Answer: D) 45

Explanation:

Here given 

2, 3, 6, 15, ? , 157.5

2 x 1.5 = 3

3 x 2  = 6

6 x 2.5 = 15

15 x 3 = 45

45 x 3.5 = 157.5

Therefore, the missing number is 45

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7 85542
Q:

What value will come in place of question mark (?) in following number series?

12, 16, 32, 68, ?

A) 198 B) 164
C) 132 D) 118
 
Answer & Explanation Answer: C) 132

Explanation:

Given series is 

 

12        16         32          68         ?

 

Here it follows a pattern that,

 

12

 

12 + (2x2) = 16

 

16 + (4x4) = 32

 

32 + (6x6) = 68

 

68 + (8x8) = 132

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7 85456
Q:

Find the next number in the given number series

1, 3, 10, 41, 206, ?

A) 1237 B) 897
C) 987 D) 1007
 
Answer & Explanation Answer: A) 1237

Explanation:

The given number series is 1, 3, 10, 41, 206, ?

It follows a pattern that,

1

1 x 2 + 1 = 3

3 x 3 + 1 = 10

10 x 4 + 1 = 41

41 x 5 + 1 = 206

206 x 6 + 1 = 1237

 

Hence, the next number in the given number series is 1237.

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13 85403
Q:

Essential Part for the given word from the following options.

Respiration

A) Oxygen B) Carbon monoxide
C) Mouth D) Circulation
 
Answer & Explanation Answer: A) Oxygen

Explanation:

A person or animal must take in oxygen for respiration to occur. A mouth (choice a) is not essential because breathing can occur through the nose. Choices b and d are clearly not essential and can be ruled out.

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13 84856
Q:

Find the sum of the Arithmetic Series upto 36 terms

2, 5, 8, 11,...

A) 3924 B) 1962
C) 1684 D) 1452
 
Answer & Explanation Answer: B) 1962

Explanation:

Arithmetic Series ::

 

An Arithmetic Series is a series of numbers in which each term increases by a constant amount.

 

How to find the sum of the Arithmetic Sequence or Series for the given Series ::

 

When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.

 

That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term

 

Here Last term is given by an = a1 + n-1d where d = common difference

 

Now given Arithmetic Series is 

 

2, 5, 8, 11,...

 

Here a1 = 2,  d = 3, n = 36 

 

Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107 

 

Now, Sum to 36 terms is given by

 

S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962

 

 

 

Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

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