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Question Details

Determine the missing number in the given pattern:


3 → 15

4 → 24

5 → 35

6 → ?

Options

A

44

B

40

C

54

D

48

Show Answer

Correct Answer :

Option D

48

56

Solution :

The correct answer is 48.

Step-by-step Explanation:

We are given the pattern:

3→15

4→24

5→35

6→?

Let us analyze the relationship between each input number n and its corresponding output value:

For n=3:

3×(3+2)=3×5=15

Alternatively: (3+1)2-1=42-1=16-1=15

For n=4:

4×(4+2)=4×6=24

Alternatively: (4+1)2-1=52-1=25-1=24

For n=5:

5×(5+2)=5×7=35

Alternatively: (5+1)2-1=62-1=36-1=35

Following the same pattern for n=6:

6×(6+2)=6×8=48

Alternatively: (6+1)2-1=72-1=49-1=48

Thus, the missing number in the given pattern is 48.

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