Answer the sufficiency question, not the hidden value

A data-sufficiency item gives a question and two statements. The task is to decide whether the value or relation can be determined uniquely, not necessarily to compute it. Evaluate Statement I alone while deliberately ignoring Statement II. Then reset and evaluate Statement II alone. Only after those two independent tests should you combine them. This prevents an earlier fact from leaking into the second test.

Uniqueness is the test

Suppose the question asks the value of x. Statement I says x+y=12; infinitely many x values satisfy it, so I alone is insufficient. Statement II says y=5; it is also insufficient alone. Together they give x=7, so both are required. By contrast, if Statement I says x is the only even prime, it alone fixes x=2. An inequality may narrow a range but still leave several values, so it is not sufficient unless the question asks only a relation that the inequality establishes.

Five-option conventions

This chapter includes items with five answer choices, the common data-sufficiency format. Read the wording of all five choices before using a memorised A–E mapping; different tests order the choices differently. A typical set distinguishes I only, II only, either alone, both together and neither. For comparisons, construct two examples consistent with a statement. If those examples yield different answers to the question, the statement is insufficient. Recheck whether the task seeks an exact number, a yes/no answer or the identity of a person; sufficiency can differ for each.

Test each statement with alternative worlds

Consider: Is x greater than y? Statement I gives x+y=20. Both x=12,y=8 and x=8,y=12 obey it, but answer the question differently. Thus I alone is insufficient. Statement II gives x−y=4. It directly establishes x>y, even though neither x nor y is individually known. It is sufficient for the yes/no question. The test is uniqueness of the requested answer, not uniqueness of every variable in the story.

For a question asking the exact value of x, “x is positive” is usually insufficient. If x is an integer and 2<x<4, however, x=3 is unique. Read all domain restrictions, including integer, non-negative, distinct and prime. A condition that appears broad over real numbers can become decisive over integers. Conversely, a quadratic equation such as x²=25 leaves x=5 and x=−5 unless a sign restriction resolves the ambiguity.

Combined statements can still fail

Suppose I says x+y=10 and II says x−y is positive. Together they establish x>5, but they do not fix x: x=6 and x=7 both work with different y values. If the task is “Is x greater than 5?”, both together are sufficient; if the task is “What is x?”, they are insufficient. Write the target at the top of the working. That simple step stops you from treating any useful clue as a complete solution.

A reliable five-choice workflow

Draw three small boxes labelled I, II and I+II. In each, write S or N for sufficient or not sufficient, followed by one reason. Evaluate I and II independently. For an S mark, show the one forced answer. For an N mark, give two allowed examples with different answers. Only then read the exact A–E wording and select its matching pattern. This prevents a memorised option order from overriding the actual paper. In review, save the two counterexamples; they are stronger evidence than “not enough information” written without explanation.

Practice — 50 questions

Attempt every item before reading the answers. Use the chart or caselet printed with the question.

1. Who is the tallest among Priya, Meena, Anjali?
Statement I: Priya is taller than Meena. Meena is taller than Anjali.
Statement II: Priya is taller than Meena. Priya is taller than Anjali.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

2. Who is the tallest among Sanjay, Anjali, Kavita?
Statement I: Sanjay is taller than Anjali.
Statement II: Anjali is taller than Kavita.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

3. What is Aman's rank from the top in a queue?
Statement I: Aman's rank from the bottom is 17th.
Statement II: There are 20 people in a queue.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

4. What is Vikram's rank from the top in a class?
Statement I: Vikram's rank from the bottom is 20th.
Statement II: There are 27 people in a class.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

5. What is Sanjay's rank from the top in a queue?
Statement I: Sanjay's rank from the bottom is 3rd.
Statement II: There are 24 people in a queue.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

6. Who is the tallest among Priya, Kavita, Vikram?
Statement I: Priya is taller than Kavita.
Statement II: Kavita is taller than Vikram.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

7. Who is the tallest among Vikram, Sneha, Priya?
Statement I: Vikram is taller than Sneha.
Statement II: Sneha is taller than Priya.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

8. What is Arjun's rank from the top in a class?
Statement I: Arjun's rank from the top is 3rd.
Statement II: Exactly 2 people are ranked above Arjun.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

9. Who is the tallest among Priya, Anjali, Meena?
Statement I: Priya is taller than Anjali.
Statement II: Anjali is taller than Meena.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

10. What is Sneha's rank from the top in a queue?
Statement I: Sneha's rank from the bottom is 18th.
Statement II: There are 23 people in a queue.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

11. What is Sneha's rank from the top in a queue?
Statement I: Sneha's rank from the top is 2nd.
Statement II: Exactly 1 people are ranked above Sneha.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

12. Who is the tallest among Priya, Sneha, Kavita?
Statement I: Priya is taller than Sneha. Sneha is taller than Kavita.
Statement II: Priya is taller than Sneha. Priya is taller than Kavita.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

13. What is Meena's rank from the top in a group of students?
Statement I: Meena's rank from the bottom is 22nd.
Statement II: There are 34 people in a group of students.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

14. What is Karan's rank from the top in a group of students?
Statement I: Karan's rank from the top is 29th.
Statement II: Exactly 28 people are ranked above Karan.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

15. Who is the tallest among Sanjay, Priya, Sneha?
Statement I: Sanjay is taller than Priya. Priya is taller than Sneha.
Statement II: Sanjay is taller than Priya. Sanjay is taller than Sneha.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

16. What is Arjun's rank from the top in a queue?
Statement I: Arjun is younger than at least one other person in a queue.
Statement II: Arjun's rank from the top is 26th.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

17. How is Meena related to Neha?
Statement I: Priya is Neha's mother.
Statement II: Meena is Priya's daughter.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

18. Who is the tallest among Neha, Arjun, Pooja, Anjali?
Statement I: Neha is taller than Arjun. Arjun is taller than Pooja.
Statement II: Pooja is taller than Anjali.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

19. What is Kavita's rank from the top in a queue?
Statement I: Kavita's rank from the bottom is 29th.
Statement II: In a different, unrelated group there are 9 people.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

20. Who is the tallest among Suresh, Meena, Neha, Rohit?
Statement I: Suresh is taller than Meena.
Statement II: Neha is taller than Rohit.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

21. How is Pooja related to Vikram?
Statement I: Meena is Vikram's mother.
Statement II: Pooja is Meena's mother.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

22. What is Aman's rank from the top in a queue?
Statement I: Aman is younger than at least one other person in a queue.
Statement II: Aman's rank from the top is 12th.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

23. What is Sanjay's rank from the top in a class?
Statement I: Sanjay's rank from the bottom is 15th.
Statement II: In a different, unrelated group there are 24 people.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

24. How is Suresh related to Anjali?
Statement I: Pooja is Anjali's mother.
Statement II: Suresh is Pooja's father.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

25. What is Divya's rank from the top in a group of students?
Statement I: Divya's rank from the bottom is 24th.
Statement II: There are 33 people in a group of students.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

26. Who is the tallest among Anjali, Rahul, Suresh, Kavita?
Statement I: Anjali is taller than Rahul. Rahul is taller than Suresh. Suresh is taller than Kavita.
Statement II: Suresh is taller than Kavita.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

27. What is Pooja's rank from the top in a queue?
Statement I: Pooja's rank from the bottom is 37th.
Statement II: In a different, unrelated group there are 26 people.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

28. What is Divya's rank from the top in a group of students?
Statement I: Divya's rank from the bottom is 38th.
Statement II: There are 59 people in a group of students.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

29. How is Priya related to Karan?
Statement I: Anjali is Karan's mother.
Statement II: Priya is Anjali's mother.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

30. Who is the tallest among Arjun, Rahul, Kavita, Divya?
Statement I: Arjun is taller than Rahul.
Statement II: Kavita is taller than Divya.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

31. Who is the tallest among Rahul, Pooja, Meena, Rohit?
Statement I: Rahul is taller than Pooja. Pooja is taller than Meena. Meena is taller than Rohit.
Statement II: Meena is taller than Rohit.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

32. What is Rahul's rank from the top in a group of students?
Statement I: Rahul's rank from the top is 7th.
Statement II: Rahul is older than at least one other person in a group of students.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

33. How is Arjun related to Rahul?
Statement I: Neha is Rahul's mother.
Statement II: Arjun is Neha's son.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

34. What is Suresh's rank from the top in a group of students?
Statement I: Suresh's rank from the top is 32nd.
Statement II: Suresh is older than at least one other person in a group of students.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

35. Who is the tallest among Divya, Suresh, Aman, Sanjay?
Statement I: Divya is taller than Suresh. Suresh is taller than Aman. Aman is taller than Sanjay.
Statement II: Aman is taller than Sanjay.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

36. How is Neha related to Rahul?
Statement I: Anjali is Rahul's sister.
Statement II: Neha is Anjali's daughter.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

37. What is Karan's rank from the top in a queue?
Statement I: Karan's rank from the top is 27th.
Statement II: Karan is older than at least one other person in a queue.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

38. What is Sneha's rank from the top in a group of students?
Statement I: Sneha's rank from the top is 27th.
Statement II: Sneha is older than at least one other person in a group of students.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

39. Who is the tallest among Priya, Divya, Kavita, Suresh?
Statement I: Priya is taller than Divya.
Statement II: Kavita is taller than Suresh.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

40. Who is the tallest among Karan, Rohit, Divya, Vikram?
Statement I: Karan is taller than Rohit.
Statement II: Divya is taller than Vikram.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

41. How is Karan related to Arjun?
Statement I: Sanjay is Arjun's father.
Statement II: Karan is Sanjay's brother.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

42. Who is the tallest among Karan, Rahul, Suresh, Anjali?
Statement I: Karan is taller than Rahul. Rahul is taller than Suresh.
Statement II: Suresh is taller than Anjali.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

43. What is Kavita's rank from the top in a class?
Statement I: Kavita's rank from the bottom is 61st.
Statement II: There are 70 people in a class.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

44. What is Rohit's rank from the top in a group of students?
Statement I: Rohit's rank from the bottom is 80th.
Statement II: There are 83 people in a group of students.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

45. What is Pooja's rank from the top in a group of students?
Statement I: Pooja's rank from the bottom is 24th.
Statement II: In a different, unrelated group there are 47 people.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

46. What is Pooja's rank from the top in a class?
Statement I: Pooja's rank from the bottom is 38th.
Statement II: There are 80 people in a class.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

47. How is Arjun related to Meena?
Statement I: Vikram is Meena's father.
Statement II: Arjun is Vikram's father.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

48. How is Aman related to Anjali?
Statement I: Pooja is Anjali's mother.
Statement II: Aman is Pooja's father.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

49. What is Aman's rank from the top in a group of students?
Statement I: Aman is younger than at least one other person in a group of students.
Statement II: Aman's rank from the top is 22nd.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

50. Who is the tallest among Rahul, Rohit, Arjun, Karan?
Statement I: Rahul is taller than Rohit. Rohit is taller than Arjun. Arjun is taller than Karan.
Statement II: Arjun is taller than Karan.

A. Statement I alone is sufficient, but Statement II alone is not sufficient B. Statement II alone is sufficient, but Statement I alone is not sufficient C. Both statements I and II together are sufficient, but neither alone is sufficient D. Each statement alone is sufficient E. Statements I and II together are not sufficient

Answers and explanations

Check the value and the unit before comparing your working with the calculation.

1. D. Statement I alone (Priya is taller than Meena. Meena is taller than Anjali.) forms a complete chain showing Priya is taller than everyone else, so I alone is sufficient. Statement II alone (Priya is taller than Meena. Priya is taller than Anjali.) independently establishes the same complete chain, so II alone is sufficient too. Hence each statement alone is sufficient.

APDI26-02-01 | data-sufficiency | Easy

2. C. Statement I alone (Sanjay is taller than Anjali.) does not connect enough people to identify a person taller than everyone else, so I alone is not sufficient. Statement II alone (Anjali is taller than Kavita.) likewise leaves gaps, so II alone is not sufficient. Combining all pairwise facts and taking the transitive closure, Sanjay emerges as the unique person taller than all others. So both together are sufficient, but neither alone is.

APDI26-02-02 | data-sufficiency | Easy

3. C. Statement I alone gives only the rank from the bottom (17th) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (20) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 20 − 17 + 1 = 4. So both together are sufficient, but neither alone is.

APDI26-02-03 | data-sufficiency | Easy

4. C. Statement I alone gives only the rank from the bottom (20th) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (27) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 27 − 20 + 1 = 8. So both together are sufficient, but neither alone is.

APDI26-02-04 | data-sufficiency | Easy

5. C. Statement I alone gives only the rank from the bottom (3rd) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (24) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 24 − 3 + 1 = 22. So both together are sufficient, but neither alone is.

APDI26-02-05 | data-sufficiency | Easy

6. C. Statement I alone (Priya is taller than Kavita.) does not connect enough people to identify a person taller than everyone else, so I alone is not sufficient. Statement II alone (Kavita is taller than Vikram.) likewise leaves gaps, so II alone is not sufficient. Combining all pairwise facts and taking the transitive closure, Priya emerges as the unique person taller than all others. So both together are sufficient, but neither alone is.

APDI26-02-06 | data-sufficiency | Easy

7. C. Statement I alone (Vikram is taller than Sneha.) does not connect enough people to identify a person taller than everyone else, so I alone is not sufficient. Statement II alone (Sneha is taller than Priya.) likewise leaves gaps, so II alone is not sufficient. Combining all pairwise facts and taking the transitive closure, Vikram emerges as the unique person taller than all others. So both together are sufficient, but neither alone is.

APDI26-02-07 | data-sufficiency | Easy

8. D. Statement I directly gives Arjun's rank from the top (3rd), so I alone is sufficient. Statement II says exactly 2 people are ranked above Arjun, which also fixes the rank from the top at 3, so II alone is sufficient too. Hence each statement alone is sufficient.

APDI26-02-08 | data-sufficiency | Easy

9. C. Statement I alone (Priya is taller than Anjali.) does not connect enough people to identify a person taller than everyone else, so I alone is not sufficient. Statement II alone (Anjali is taller than Meena.) likewise leaves gaps, so II alone is not sufficient. Combining all pairwise facts and taking the transitive closure, Priya emerges as the unique person taller than all others. So both together are sufficient, but neither alone is.

APDI26-02-09 | data-sufficiency | Easy

10. C. Statement I alone gives only the rank from the bottom (18th) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (23) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 23 − 18 + 1 = 6. So both together are sufficient, but neither alone is.

APDI26-02-10 | data-sufficiency | Easy

11. D. Statement I directly gives Sneha's rank from the top (2nd), so I alone is sufficient. Statement II says exactly 1 people are ranked above Sneha, which also fixes the rank from the top at 2, so II alone is sufficient too. Hence each statement alone is sufficient.

APDI26-02-11 | data-sufficiency | Easy

12. D. Statement I alone (Priya is taller than Sneha. Sneha is taller than Kavita.) forms a complete chain showing Priya is taller than everyone else, so I alone is sufficient. Statement II alone (Priya is taller than Sneha. Priya is taller than Kavita.) independently establishes the same complete chain, so II alone is sufficient too. Hence each statement alone is sufficient.

APDI26-02-12 | data-sufficiency | Easy

13. C. Statement I alone gives only the rank from the bottom (22nd) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (34) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 34 − 22 + 1 = 13. So both together are sufficient, but neither alone is.

APDI26-02-13 | data-sufficiency | Easy

14. D. Statement I directly gives Karan's rank from the top (29th), so I alone is sufficient. Statement II says exactly 28 people are ranked above Karan, which also fixes the rank from the top at 29, so II alone is sufficient too. Hence each statement alone is sufficient.

APDI26-02-14 | data-sufficiency | Easy

15. D. Statement I alone (Sanjay is taller than Priya. Priya is taller than Sneha.) forms a complete chain showing Sanjay is taller than everyone else, so I alone is sufficient. Statement II alone (Sanjay is taller than Priya. Sanjay is taller than Sneha.) independently establishes the same complete chain, so II alone is sufficient too. Hence each statement alone is sufficient.

APDI26-02-15 | data-sufficiency | Easy

16. B. Statement I only says Arjun is younger than someone else — this says nothing about rank, so I alone is not sufficient. Statement II directly states Arjun's rank from the top (26th), so II alone is sufficient.

APDI26-02-16 | data-sufficiency | Medium

17. C. Statement I alone (Priya is Neha's mother.) tells us only Priya's relation to Neha, and says nothing about Meena, so I alone is not sufficient to relate Meena to Neha. Statement II alone (Meena is Priya's daughter.) tells us only Meena's relation to Priya, and says nothing about Neha, so II alone is not sufficient either. Combining both: Neha -> (mother) -> Priya -> (daughter) -> Meena, so Meena is Neha's sister. Both together are sufficient, but neither alone is.

APDI26-02-17 | data-sufficiency | Medium

18. C. Statement I alone (Neha is taller than Arjun. Arjun is taller than Pooja.) does not connect enough people to identify a person taller than everyone else, so I alone is not sufficient. Statement II alone (Pooja is taller than Anjali.) likewise leaves gaps, so II alone is not sufficient. Combining all pairwise facts and taking the transitive closure, Neha emerges as the unique person taller than all others. So both together are sufficient, but neither alone is.

APDI26-02-18 | data-sufficiency | Medium

19. E. Statement I alone gives only Kavita's rank from the bottom (29th) with no total, so I alone is not sufficient. Statement II talks about a different, unrelated group and gives no information about Kavita's group at all, so II alone is not sufficient. Even together, the total for Kavita's own group is never established, so the rank from the top cannot be determined — neither statement, together or alone, is sufficient.

APDI26-02-19 | data-sufficiency | Medium

20. E. Statement I alone (Suresh is taller than Meena.) only compares Suresh and Meena, so I alone is not sufficient. Statement II alone (Neha is taller than Rohit.) only compares Neha and Rohit, so II alone is not sufficient. Even together, there is no comparison linking the {Suresh, Meena} pair to the {Neha, Rohit} pair, so it is impossible to tell which pair is taller overall — neither statement, together or alone, is sufficient.

APDI26-02-20 | data-sufficiency | Medium

21. C. Statement I alone (Meena is Vikram's mother.) tells us only Meena's relation to Vikram, and says nothing about Pooja, so I alone is not sufficient to relate Pooja to Vikram. Statement II alone (Pooja is Meena's mother.) tells us only Pooja's relation to Meena, and says nothing about Vikram, so II alone is not sufficient either. Combining both: Vikram -> (mother) -> Meena -> (mother) -> Pooja, so Pooja is Vikram's grandmother. Both together are sufficient, but neither alone is.

APDI26-02-21 | data-sufficiency | Medium

22. B. Statement I only says Aman is younger than someone else — this says nothing about rank, so I alone is not sufficient. Statement II directly states Aman's rank from the top (12th), so II alone is sufficient.

APDI26-02-22 | data-sufficiency | Medium

23. E. Statement I alone gives only Sanjay's rank from the bottom (15th) with no total, so I alone is not sufficient. Statement II talks about a different, unrelated group and gives no information about Sanjay's group at all, so II alone is not sufficient. Even together, the total for Sanjay's own group is never established, so the rank from the top cannot be determined — neither statement, together or alone, is sufficient.

APDI26-02-23 | data-sufficiency | Medium

24. C. Statement I alone (Pooja is Anjali's mother.) tells us only Pooja's relation to Anjali, and says nothing about Suresh, so I alone is not sufficient to relate Suresh to Anjali. Statement II alone (Suresh is Pooja's father.) tells us only Suresh's relation to Pooja, and says nothing about Anjali, so II alone is not sufficient either. Combining both: Anjali -> (mother) -> Pooja -> (father) -> Suresh, so Suresh is Anjali's grandfather. Both together are sufficient, but neither alone is.

APDI26-02-24 | data-sufficiency | Medium

25. C. Statement I alone gives only the rank from the bottom (24th) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (33) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 33 − 24 + 1 = 10. So both together are sufficient, but neither alone is.

APDI26-02-25 | data-sufficiency | Medium

26. A. Statement I alone (Anjali is taller than Rahul. Rahul is taller than Suresh. Suresh is taller than Kavita.) forms a complete chain showing Anjali is taller than everyone else, so I alone is sufficient. Statement II (Suresh is taller than Kavita.) only compares two people who are not Anjali, giving no information about who is tallest overall, so II alone is not sufficient.

APDI26-02-26 | data-sufficiency | Medium

27. E. Statement I alone gives only Pooja's rank from the bottom (37th) with no total, so I alone is not sufficient. Statement II talks about a different, unrelated group and gives no information about Pooja's group at all, so II alone is not sufficient. Even together, the total for Pooja's own group is never established, so the rank from the top cannot be determined — neither statement, together or alone, is sufficient.

APDI26-02-27 | data-sufficiency | Medium

28. C. Statement I alone gives only the rank from the bottom (38th) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (59) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 59 − 38 + 1 = 22. So both together are sufficient, but neither alone is.

APDI26-02-28 | data-sufficiency | Medium

29. C. Statement I alone (Anjali is Karan's mother.) tells us only Anjali's relation to Karan, and says nothing about Priya, so I alone is not sufficient to relate Priya to Karan. Statement II alone (Priya is Anjali's mother.) tells us only Priya's relation to Anjali, and says nothing about Karan, so II alone is not sufficient either. Combining both: Karan -> (mother) -> Anjali -> (mother) -> Priya, so Priya is Karan's grandmother. Both together are sufficient, but neither alone is.

APDI26-02-29 | data-sufficiency | Medium

30. E. Statement I alone (Arjun is taller than Rahul.) only compares Arjun and Rahul, so I alone is not sufficient. Statement II alone (Kavita is taller than Divya.) only compares Kavita and Divya, so II alone is not sufficient. Even together, there is no comparison linking the {Arjun, Rahul} pair to the {Kavita, Divya} pair, so it is impossible to tell which pair is taller overall — neither statement, together or alone, is sufficient.

APDI26-02-30 | data-sufficiency | Medium

31. A. Statement I alone (Rahul is taller than Pooja. Pooja is taller than Meena. Meena is taller than Rohit.) forms a complete chain showing Rahul is taller than everyone else, so I alone is sufficient. Statement II (Meena is taller than Rohit.) only compares two people who are not Rahul, giving no information about who is tallest overall, so II alone is not sufficient.

APDI26-02-31 | data-sufficiency | Medium

32. A. Statement I directly states Rahul's rank from the top (7th), so I alone is sufficient. Statement II only says Rahul is older than someone else — this says nothing about rank, so II alone is not sufficient.

APDI26-02-32 | data-sufficiency | Medium

33. C. Statement I alone (Neha is Rahul's mother.) tells us only Neha's relation to Rahul, and says nothing about Arjun, so I alone is not sufficient to relate Arjun to Rahul. Statement II alone (Arjun is Neha's son.) tells us only Arjun's relation to Neha, and says nothing about Rahul, so II alone is not sufficient either. Combining both: Rahul -> (mother) -> Neha -> (son) -> Arjun, so Arjun is Rahul's brother. Both together are sufficient, but neither alone is.

APDI26-02-33 | data-sufficiency | Medium

34. A. Statement I directly states Suresh's rank from the top (32nd), so I alone is sufficient. Statement II only says Suresh is older than someone else — this says nothing about rank, so II alone is not sufficient.

APDI26-02-34 | data-sufficiency | Medium

35. A. Statement I alone (Divya is taller than Suresh. Suresh is taller than Aman. Aman is taller than Sanjay.) forms a complete chain showing Divya is taller than everyone else, so I alone is sufficient. Statement II (Aman is taller than Sanjay.) only compares two people who are not Divya, giving no information about who is tallest overall, so II alone is not sufficient.

APDI26-02-35 | data-sufficiency | Medium

36. C. Statement I alone (Anjali is Rahul's sister.) tells us only Anjali's relation to Rahul, and says nothing about Neha, so I alone is not sufficient to relate Neha to Rahul. Statement II alone (Neha is Anjali's daughter.) tells us only Neha's relation to Anjali, and says nothing about Rahul, so II alone is not sufficient either. Combining both: Rahul -> (sister) -> Anjali -> (daughter) -> Neha, so Neha is Rahul's niece. Both together are sufficient, but neither alone is.

APDI26-02-36 | data-sufficiency | Medium

37. A. Statement I directly states Karan's rank from the top (27th), so I alone is sufficient. Statement II only says Karan is older than someone else — this says nothing about rank, so II alone is not sufficient.

APDI26-02-37 | data-sufficiency | Medium

38. A. Statement I directly states Sneha's rank from the top (27th), so I alone is sufficient. Statement II only says Sneha is older than someone else — this says nothing about rank, so II alone is not sufficient.

APDI26-02-38 | data-sufficiency | Medium

39. E. Statement I alone (Priya is taller than Divya.) only compares Priya and Divya, so I alone is not sufficient. Statement II alone (Kavita is taller than Suresh.) only compares Kavita and Suresh, so II alone is not sufficient. Even together, there is no comparison linking the {Priya, Divya} pair to the {Kavita, Suresh} pair, so it is impossible to tell which pair is taller overall — neither statement, together or alone, is sufficient.

APDI26-02-39 | data-sufficiency | Medium

40. E. Statement I alone (Karan is taller than Rohit.) only compares Karan and Rohit, so I alone is not sufficient. Statement II alone (Divya is taller than Vikram.) only compares Divya and Vikram, so II alone is not sufficient. Even together, there is no comparison linking the {Karan, Rohit} pair to the {Divya, Vikram} pair, so it is impossible to tell which pair is taller overall — neither statement, together or alone, is sufficient.

APDI26-02-40 | data-sufficiency | Medium

41. C. Statement I alone (Sanjay is Arjun's father.) tells us only Sanjay's relation to Arjun, and says nothing about Karan, so I alone is not sufficient to relate Karan to Arjun. Statement II alone (Karan is Sanjay's brother.) tells us only Karan's relation to Sanjay, and says nothing about Arjun, so II alone is not sufficient either. Combining both: Arjun -> (father) -> Sanjay -> (brother) -> Karan, so Karan is Arjun's uncle. Both together are sufficient, but neither alone is. Note: reading the two statements out of order can mislead — Statement II must be applied to Sanjay (from Statement I), not directly to Arjun.

APDI26-02-41 | data-sufficiency | Difficult

42. C. Statement I alone (Karan is taller than Rahul. Rahul is taller than Suresh.) does not connect enough people to identify a person taller than everyone else, so I alone is not sufficient. Statement II alone (Suresh is taller than Anjali.) likewise leaves gaps, so II alone is not sufficient. Combining all pairwise facts and taking the transitive closure, Karan emerges as the unique person taller than all others. So both together are sufficient, but neither alone is.

APDI26-02-42 | data-sufficiency | Difficult

43. C. Statement I alone gives only the rank from the bottom (61st) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (70) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 70 − 61 + 1 = 10. So both together are sufficient, but neither alone is.

APDI26-02-43 | data-sufficiency | Difficult

44. C. Statement I alone gives only the rank from the bottom (80th) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (83) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 83 − 80 + 1 = 4. So both together are sufficient, but neither alone is.

APDI26-02-44 | data-sufficiency | Difficult

45. E. Statement I alone gives only Pooja's rank from the bottom (24th) with no total, so I alone is not sufficient. Statement II talks about a different, unrelated group and gives no information about Pooja's group at all, so II alone is not sufficient. Even together, the total for Pooja's own group is never established, so the rank from the top cannot be determined — neither statement, together or alone, is sufficient.

APDI26-02-45 | data-sufficiency | Difficult

46. C. Statement I alone gives only the rank from the bottom (38th) — without the total, the rank from the top cannot be found, so I alone is not sufficient. Statement II alone gives only the total (80) — without the rank from the bottom, the rank from the top cannot be found either, so II alone is not sufficient. Combining both: rank from top = Total − rank from bottom + 1 = 80 − 38 + 1 = 43. So both together are sufficient, but neither alone is.

APDI26-02-46 | data-sufficiency | Difficult

47. C. Statement I alone (Vikram is Meena's father.) tells us only Vikram's relation to Meena, and says nothing about Arjun, so I alone is not sufficient to relate Arjun to Meena. Statement II alone (Arjun is Vikram's father.) tells us only Arjun's relation to Vikram, and says nothing about Meena, so II alone is not sufficient either. Combining both: Meena -> (father) -> Vikram -> (father) -> Arjun, so Arjun is Meena's grandfather. Both together are sufficient, but neither alone is. Note: reading the two statements out of order can mislead — Statement II must be applied to Vikram (from Statement I), not directly to Meena.

APDI26-02-47 | data-sufficiency | Difficult

48. C. Statement I alone (Pooja is Anjali's mother.) tells us only Pooja's relation to Anjali, and says nothing about Aman, so I alone is not sufficient to relate Aman to Anjali. Statement II alone (Aman is Pooja's father.) tells us only Aman's relation to Pooja, and says nothing about Anjali, so II alone is not sufficient either. Combining both: Anjali -> (mother) -> Pooja -> (father) -> Aman, so Aman is Anjali's grandfather. Both together are sufficient, but neither alone is. Note: reading the two statements out of order can mislead — Statement II must be applied to Pooja (from Statement I), not directly to Anjali.

APDI26-02-48 | data-sufficiency | Difficult

49. B. Statement I only says Aman is younger than someone else — this says nothing about rank, so I alone is not sufficient. Statement II directly states Aman's rank from the top (22nd), so II alone is sufficient.

APDI26-02-49 | data-sufficiency | Difficult

50. A. Statement I alone (Rahul is taller than Rohit. Rohit is taller than Arjun. Arjun is taller than Karan.) forms a complete chain showing Rahul is taller than everyone else, so I alone is sufficient. Statement II (Arjun is taller than Karan.) only compares two people who are not Rahul, giving no information about who is tallest overall, so II alone is not sufficient.

APDI26-02-50 | data-sufficiency | Difficult