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Reasoning Ability · 0-3 Qs

Data Sufficiency (Reasoning)

Read the notes once, then practise. Every question shows the full solution right after you answer.

Study notes

Format

A question is followed by two statements, I and II. You do not need the answer itself - only whether the statements give enough data. The five standard options are:

  1. Statement I alone is sufficient, II alone is not.
  2. Statement II alone is sufficient, I alone is not.
  3. Either I alone or II alone is sufficient.
  4. Both I and II together are necessary.
  5. Even I and II together are not sufficient.

Topics used: seating, ranking, blood relations, directions, coding, days and floors.

Method

  1. Read the question and note exactly what must be fixed (one person, one direction, one code).
  2. Test statement I alone. Is there only one possible answer? Write "I: yes/no".
  3. Test statement II alone, forgetting I completely. Write "II: yes/no".
  4. Only if both are "no", combine them and test again.
  5. Map the results: yes/no = option 1; no/yes = 2; yes/yes = 3; no/no but together yes = 4; otherwise 5.

Worked example

Question: Who is the tallest among P, Q, R, S and T? I. P is taller than Q and R, and T is shorter than S. II. S is taller than P. From I, the tallest is P or S - not sufficient. From II alone, nothing is said about Q, R and T - not sufficient. Together: S > P > Q, R and S > T, so S is the tallest. Answer: both together are necessary.

Trap: do not carry information from statement I into your test of statement II. Also, "cannot find the exact answer but can find a yes/no" still counts as sufficient for a yes/no question.

Common sufficiency checks

  • Blood relation: a statement that leaves the person's gender unknown is usually insufficient for "son/daughter" type questions.
  • Coding: a word is fixed only if it is the sole word common to two sentences.
  • Direction: both direction and distance of each link must be known; a distance without a direction is not enough.
  • Position: "12th from the right" is useless for "position from the left" unless the total is known.

Time target

40-60 seconds per question. Never solve fully when a quick check shows two possibilities - two answers already means "not sufficient".

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