NIMCET 2009
Rajita has a unique way of attempting a question paper having 50 questions. She starts from question 1 and attempts all questions which are in A.P. with a common difference of 3 in the forward direction (and 3 in the reverse direction). If she reaches a stage when she cannot attempt any more questions, she starts in the reverse direction with the first unanswered question. She repeats the process, and whenever she cannot proceed further, she reverses her direction again, starting with the first unanswered question. Which is the 20th question Rajita answers?
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option D — 44
Detailed Solution
Round 1 answers 1, 4, …, 49, which is 17 questions.
Round 2 starts at 50 and goes back by 3: the 18th, 19th and 20th answers are 50, 47 and 44.
✓ Check
20th answer .⚠ Common trap
(C) 47 is the 19th answer, and (A) 50 the 18th.Quick tip
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Analytical Reasoning — Preparation
This question tests your understanding of Analytical Reasoning, 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.
Analytical reasoning questions give a set of conditions about people, objects or events and ask you to deduce facts from them. They include puzzles on scheduling (who does what on which day), distribution (who owns which item), floor-based puzzles, comparisons, and grouping or selection problems where certain people must or cannot be chosen together. The key is organising the information. Draw a table or grid with the categories as rows and columns, and fill in the definite clues first. Then use the conditional clues to eliminate possibilities, marking crosses for what is impossible and ticks for what is certain. When a clue leaves two possibilities, write both cases and test each against the remaining clues. Usually one case leads to a contradiction. Most puzzles have four or five questions, so time spent setting up a clear grid pays off. Practise the analytical reasoning puzzles below. Each solution shows the grid built step by step.