Data Sufficiency problems
- 1. Question: In a certain code language, '297' means 'tie clip button'. Which number means 'button' in that language?
Statements:
- In that language, '926' means clip your tie'.
- In that language, '175' means 'hole and button'.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Either I or II is sufficient
Explanation:
- 2. Question: What is Sumit's position from the right end in a row of children?
Statements:
- There are 10 children between Sumit and Rajan.
- Rajan is twentieth from the left end of the row of children.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Neither I nor II is sufficient
Explanation:
- 3. Question: In a certain code, 'nop al ed' means They like flowers'. Which code word means 'flowers'?
Statements:
- 'id nim nop' means 'They are innocent'.
- 'gob ots al' means 'We like roses'.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
Explanation:
In the given statement and II, the common word is 'like' and the common code word is 'al'. So, 'al' is the code for 'like'.
Thus, in the given statement, 'ed' is the code for 'flowers'.
- 4. Question: What is the code for 'mangoes' in the code language?
Statements:
- In that code language, 'Te Le Pa Na' means 'You eat many mangoes' and 'Le Na Da' means 'You sell mangoes'.
- In the code language, 'Ge Na Se La Le' means 'They eat bananas and mangoes' and 'Ne De Le La' means 'Who others eat bananas'.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
Explanation:
In 'You eat many mangoes' and 'They eat bananas and mangoes', the common code word 'Le' stands for 'eat'. So, the other common code word 'Na' stands for the other common word i.e. 'mangoes'.
- 5. Question: In a row of five children A, B, C, D and E, who is standing in the middle?
Statements:
- D is to the immediate right of E and B is to the immediate left of E.
- B is at the extreme left of the, row.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
Explanation:
From II, B is at the extreme left of the row.
Thus, considering both I and II, we conclude that among the five children, D is the third and hence the middle child in the row.
- 6. Question: How many employees of Bank Z opted for VRS?
Statements:
- 18% of the 950 officer cadre employees and 6% of the 1100 other cadre employees opted for VRS.
- 28% of the employees in the age-group of 51 to 56 and 17% of the employees in all other age-groups opted for VRS.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: I alone is sufficient while II alone is not sufficient
Explanation:
From II, we cannot get the required answer until and unless the number of employees in age-group 51 to 56 and other age-groups is known.
- 7. Question: Among M, N, D, P and K, who earns more than only the least earner among them?
Statements:
- N earns more than M and P but less than only D.
- M earns more than P who earns less than K.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Neither I nor II is sufficient
Explanation:
But, from II, M earns more than P i.e. D > N > M > P. Also, since P earns less than K and N earns less than only D, so we have: D>N>K>M>P or D>N>M> K > P.
Hence, either K or M earns more than only the least earner i.e. P.
- 8. Question: What is Sachin's rank from the top in a class of 25 students?
Statements:
- Sachin ranks three ranks above Amit who ranks 18th from the bottom.
- Sachin's rank from the top is two ranks below Deepti who ranks 23rd from the bottom.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Either I or II is sufficient
Explanation:
Sachin is three ranks above Amit and so, Sachin ranks 5th from the top.
From II, Deepti ranks 23rd from the bottom and hence, 3rd from the top. Sachin, being 2 ranks below Deepti, is, thus, 5th from the top.
- 9. Question: It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur?
Statements:
- Buses for Ramnagar leave after every 30 minutes, till 10 p.m.
- Fifteen minutes ago, one bus has left for Ramnagar.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
Explanation:
- 10. Question: How many girls are taller than Shravan in his class?
Statements:
- When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.
- Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: I alone is sufficient while II alone is not sufficient
Explanation:
This implies that there are 5 girls taller than Shravan.
In II, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.
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