Test: Mental Ability (Inserting Missing Character) - Software Development MCQ

The logic followed is:
Top number = (sum of the bottom number)²
In fig 1:
225 = (8 + 7)²
225 = 15²
225 = 225
In fig 2:
49 = (3 + 4)²
49 = 7²
49 = 49
Similarly,
121 = (6 + ?)²
√121 = 6 + ?
11 = 6 + ?
? = 11 - 6
? = 5 
Hence, the correct answer is "5".

The logic followed is:

middle number = sum of the bottom number - top number

In fig 1:

10 = (7 + 9) - 6

10 = 16 - 6

10 = 10

In fig 2:

10 = (5 + 8) - 3

10 = 13 - 3

10 = 10

Similarly,

? = (9 + 6) - 4

? = 15 - 4

? = 11 

Hence, the correct answer is "11".

The Logic followed here is:

The third number = The First number × (second number ÷ 2)

In Row 1:- 10, 4, 20

The third number = 10 × (4 ÷ 2)

= 10 × 2 = 20

In Row 2:- 15, 8, 60

The third number = 15 × (8 ÷ 2)

= 15 × 4 = 60

Similarly,

In Row 3:- 25, 8, ?

The third number = 25 × (8 ÷ 2)

? = 25 × 4 = 100

Hence, the correct answer is "100".

Additional Information 

The most common pattern asked in exams are based on:

• It could be the sum of two numbers divided by a constant
• It could be the average of numbers.
• It could be in the form of alphabets, where alphabets are increased by constant or increased by the square of numbers or increased by prime numbers.
• It could be the difference of product of two diametrically opposite numbers.
• It could be the difference in the sum of adjacent numbers.
• The difference of the numbers could be in the pattern 13 ± 1, 23 ± 1,  and so on.
• The difference of the numbers could be in the pattern 12 ± 1, 22 ± 1, and so on.
• Numbers could be 12, 22, 32, and so on or 13, 23, 33, and so on.
• The difference could be prime numbers or the difference could be the square of prime numbers.
• The difference could be in the form of N2 ± N or N3 ± N.
• The difference could be in the form of ×N + N or ×2 + 1, ×2 + 2, ×2 + 3, and so on.
• The difference could be in the form of ×2 ± 1 alternatively.
• Numbers could be ×1, ×2, ×3, and so on. 

The logic followed here is:

In figure 1:

32 = (2 + 2) × 8

4 × 8

32

In figure 2:

24 = (3 + 1) × 6

4 × 6

24

Similarly,

In figure 3:

45 = (4 + ?) × 5 

4 + ? = 9

? = 9 - 4

? = 5

Hence, the correct answer is "5".

The logic followed is:

The bottom number = sum of the square of all the first three number column-wise 

In column-wise operation:

Column 1:

69 = 7² + 4² + 2² 

69 = 49 + 16 + 4

69 = 69

Column 2:

91 = 32 + 92 + 12 

91 = 9 + 81 + 1

91 = 91

Similarly,

Column 3:

? = 22 + 62 + 52 

? = 4 + 36 + 25

? = 65 

Hence, the correct answer is "65".

Additional Information

The most common pattern asked in exams are based on:

• It could be the sum of two numbers divided by a constant
• It could be the average of numbers.
• It could be in the form of alphabets, where alphabets are increased by constant or increased by the square of numbers or increased by prime numbers.
• It could be the difference of product of two diametrically opposite numbers.
• It could be the difference in the sum of adjacent numbers.
• The difference of the numbers could be in the patterns 13 ± 1, 23 ± 1,  and so on.
• The difference of the numbers could be in the patterns 12 ± 1, 22 ± 1, and so on.
• Numbers could be 12, 22, 32, and so on or 13, 23, 33, and so on.
• The difference could be prime numbers or the difference could be the square of prime numbers.
• The difference could be in the form of N2 ± N or N3 ± N.
• The difference could be in the form of ×N + N or ×2 + 1, ×2 + 2, ×2 + 3, and so on.
• The difference could be in the form of ×2 ± 1 alternatively.
• Numbers could be ×1, ×2, ×3, and so on. 

The logic follows here is:

In a figure:

Middle number = (Top number × bottom number) - (left number × right number) 

In fig 1:

Middle number = (9 × 10) - (7 × 8)

= 90 - 56

= 34

In fig 2:

Middle number = (12 × 8) - (8 × 7)

= 96 - 56

= 40

Similarly,

In fig 3:

Middle number = (11 × 7) - (4 × 9) 

? = 77 - 36

? = 41

Hence, the correct answer is "41".

The logic follows here is:

Middle number = square root of first number + third number.

Row-wise operation :

(25, 41, 36)

middle number = 41

= √25 + 36

= 5 + 36

= 41

(49, 45, 38)

middle number = 45

= √49 + 38

= 7 + 38

= 45

Similarly

(36, ?, 62)

middle number = ?

= √36 + 62

= 6 + 62

= 68

Hence, the correct answer is "68"

Additional Information

The most common pattern asked in exams are based on:

• It could be the sum of two numbers divided by a constant
• It could be the average of numbers.
• It could be in the form of alphabets, where alphabets are increased by constant or increased by the square of numbers or increased by prime numbers.
• It could be the difference of product of two diametrically opposite numbers.
• It could be the difference in the sum of adjacent numbers.
• The difference of the numbers could be in the patterns 13 ± 1, 23 ± 1,  and so on.
• The difference of the numbers could be in the patterns 12 ± 1, 22 ± 1, and so on.
• Numbers could be 12, 22, 32, and so on or 13, 23, 33, and so on.
• The difference could be prime numbers or the difference could be the square of prime numbers.
• The difference could be in the form of N2 ± N or N3 ± N.
• The difference could be in the form of ×N + N or ×2 + 1, ×2 + 2, ×2 + 3, and so on.
• The difference could be in the form of ×2 ± 1 alternatively.
• Numbers could be ×1, ×2, ×3, and so on. 

The logic follows here is:

In fig 1:

12 = 6 ÷ 2 × 4

12 = 3 × 4 

12 = 12

In fig 2:

80 = 20 ÷ 2 × 8

80 = 10 × 8

80 = 80

Similarly,

63 = ? ÷ 2 × 21

63 / 21 = ? ÷ 2

3 = ? ÷ 2

? = 3 × 2

? = 6

Hence, the correct answer is "6".

The logic is:

Column 1: 9 × 5 × 3 = 135

Column 2: 5 × 7 × 4 = 140 

Similarly,

Let the missing number in column 3 be 'a'.

So, 5 × a × 5 = 150

⇒ 25 × a = 150

⇒ a = 150 ÷ 25

⇒ a = 6

Hence, ‘6’ is the correct answer.

The pattern followed is:

Top right number = multiplication of top left number and bottom number 

In fig 1:

729 = 81 × 9

729 = 729

In fig 2:

512 = 64 × 8

512 = 512

Similarly,

In fig 3:

? = 49 × 7

? = 343 

Hence, the correct answer is "343".