NIMCET 2022 — Reasoning PYQ
NIMCET | Reasoning | 2022Identify the sixth number in the series: 6, 11, 21, 36, 56, ?
Choose the correct answer:
- A.
82
- B.
21
- C.
81
(Correct Answer) - D.
52
81
Explanation
Step 1: Calculate the differences
-
First term to second term: 11−6=5
-
Second term to third term: 21−11=10
-
Third term to fourth term: 36−21=15
-
Fourth term to fifth term: 56−36=20
Step 2: Identify the pattern
The differences are: 5, 10, 15, 20.
Notice that each difference increases by 5 (which is a table of 5):
-
5×1=5
-
5×2=10
-
5×3=15
-
5×4=20
Step 3: Find the next difference
Following the pattern, the next difference should be:
5×5=25
Step 4: Calculate the sixth number
Add the next difference (25) to the fifth term (56):
Sixth Number=56+25
Sixth Number=81
Explanation
Step 1: Calculate the differences
-
First term to second term: 11−6=5
-
Second term to third term: 21−11=10
-
Third term to fourth term: 36−21=15
-
Fourth term to fifth term: 56−36=20
Step 2: Identify the pattern
The differences are: 5, 10, 15, 20.
Notice that each difference increases by 5 (which is a table of 5):
-
5×1=5
-
5×2=10
-
5×3=15
-
5×4=20
Step 3: Find the next difference
Following the pattern, the next difference should be:
5×5=25
Step 4: Calculate the sixth number
Add the next difference (25) to the fifth term (56):
Sixth Number=56+25
Sixth Number=81

