Data Sufficiency Quiz | Reasoning MCQ Practice for IBPS AFO 2026

Is PIGEON the word formed after performing the following operations using these six letters only?

If the data in all statements I, II and III together are necessary to answer the question.

If the data in statements I and III are sufficient to answer the question, while the data in statement II alone is not sufficient.

If the data in statements II and III are sufficient to answer the question, while the data in statement I alone is not sufficient.

If the data in statements I and II are sufficient to answer the question, while the data in statement III alone is not sufficient.

If the data in either statement I alone, statement II alone, or statement III alone is sufficient to answer the question.

Solution & Explanation Statements I and III together determine the required arrangement P-I-G-E-O-N, while statement II alone only gives adjacency conditions and is insufficient. Therefore, option B follows.

1 / 5

In a row of 15 students all facing North, what is Q's position from the left end? I. Q is 7th from the right end. II. Only 8 students sit between Q and the left end.

Solution & Explanation Statement I alone gives Q's position as 15 - 7 + 1 = 9th from the left. Statement II alone gives Q's position as 9th from the left (8 students between Q and the left end means Q is at the 9th position). Since both statements independently give the same and sufficient answer, either statement alone is sufficient.

2 / 5

Directions: Study the following information carefully and answer the question given below. Eight persons are seated around a rectangular table, with one person at each corner facing outward and one person at each side facing inward. Determine the answer to the question based on the information given in Statements I and II. Question: Who is sitting four places away from C? Statement I: S and C sit to the immediate right of each other. P and Q face each other. Neither P nor Q sits to the immediate right of D. C sits adjacent to Q. Statement II: A and B face away from each other. A sits adjacent to P. P sits third to the right of C.

Both statements I and II together are sufficient

Statement II alone is sufficient but statement I alone is not

Either statement I alone or statement II alone is sufficient

Statement I alone is sufficient but statement II alone is not

Both statements I and II together are not sufficient

Solution & Explanation Statement I alone: S and C adjacent + P and Q face each other (opposite inward edges) + C adjacent to Q + neither P nor Q to immediate right of D + base clue A 2nd left of D — these geometric locks together uniquely determine the full arrangement and identify who sits four places from C. SUFFICIENT. Statement II alone: A adjacent to P + P is 3rd right of C + A and B face outward (opposite corners) + A 2nd left of D — multiple layout parameters remain open; arrangement cannot be uniquely pinned. NOT SUFFICIENT. Statement I alone is sufficient but statement II alone is not. Hence option D is correct.

3 / 5

Question: Is \(X > Y\)?Statement I: \(X + Y = 20\) and \(X - Y = 4\)Statement II: \(X^2 - Y^2 = 96\)

Statement I alone is sufficient, but Statement II alone is not sufficient.

Neither Statement is sufficient.

Either Statement alone is sufficient.

Both Statements together are sufficient, but neither alone is sufficient.

Statement II alone is sufficient, but Statement I alone is not sufficient.

Solution & Explanation Stmt I: X+Y=20, X-Y=4 -> X=12, Y=8 -> X>Y. Sufficient. Stmt II: (X-Y)(X+Y)=96 has multiple solutions; can't determine X>Y alone. Not sufficient. Answer: A.

4 / 5

How is P related to R?

Solution & Explanation Statement I tells us P is Q's son. Statement II tells us Q is the brother of R's father, making Q R's paternal uncle. Combining I and II: P, the son of R's paternal uncle, is R's cousin — a complete and unambiguous answer. Statement III, about R having a younger brother, has no bearing on how P is related to R and is not needed. Neither I nor II alone mentions both P and R together, so neither is individually sufficient — only I and II together answer the question.

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Data Sufficiency Quiz for IBPS AFO 2026

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