Question 21 of 68 · Series
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MAH MCA CET 2024

In the series given below, a wrong number is given. Find out the number: 1, 2, 3, 5, 12, 15, 48, 53, 212, 217, 1090

Answer View answer ▾

Answer: Option C — 53

Detailed Solution

1

The terms follow the operations , , , , , , , , , : .

2

After 48 the next term should be , but 53 is given. The terms that follow confirm 52: .

✓ Check

The tail also fits the pattern: and .

⚠ Common trap

Option (D), 212, may look wrong because , but 212 is ; it follows from the correct earlier term, so the fault is 53.

Quick tip

Pattern:

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Series — Preparation

This question tests your understanding of Series, a key topic in the Logical Reasoning section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.

Series questions give a sequence of numbers, letters or a mix of both, and ask you to find the next term, a missing term, or the wrong term. This topic covers number series (based on differences, squares and cubes, multiplication, or mixed operations), letter series, alphanumeric series, and repeating letter patterns. Start by checking the differences between consecutive terms. If those don't show a pattern, check the second differences, ratios, squares and cubes nearby, or whether two separate series alternate. For letter series, convert letters to their alphabet positions and look for the number pattern. With practice, recognising common patterns becomes quick and these questions become reliable marks. Practise the series questions below, each with a step-by-step solution that shows the pattern.