Data Sufficiency problems
- 1. On which day of the week did Sourav visit Delhi?
I. Sourav visited Delhi after Monday before but before Thursday but not on an odd day of the week
II. Sourav visited Delhi before Friday but after Monday.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data in both the Statement I and II are not sufficient to answer the question. Discuss
Correct Answer: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Explanation:
From I: Saurav visited Delhi on Wednesday.
From II: He visited on Tue, wed or Thu.
- 2. What is R's position from the left end in a row?
I. M is tenth from the left end of the row
II. there are sixteen children between M and R.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data in both the Statement I and II are not sufficient to answer the question. Discuss
Correct Answer:
Explanation:
From I and II R's position = 10 + 16 + 1 = 27th from left.
- 3. What is Suneeta's rank from the top in the class?
I. In the class of 42 children Suneeta is 29 th from the bottom.
II. Suneeta is ten ranks below Samir.
Options- A. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- B. if the data in Statements II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- C. if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data in both the Statement I and II are not sufficient to answer the question. Discuss
Correct Answer: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Explanation:
From I: Suresh rank = 42 - 29 + 1 = 14
From II : Since we don't know Samir's rank. we get nowhere
- 4. On which day was Yasir born?
(His data of birth is february 29)
I. He was born between years 2005 and 2011.
II. He will complete 4 years on February 29, 2012
Options- A. if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- C. if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
- D. if the data given in both the statement I and II together are not sufficient to answer the question; and Discuss
Correct Answer: if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
Explanation:
Feb 29 can occur only in a leap year. 2008 happens to be the only leap years between 2005 and 2011. Hence Yesir was born on Feb 29, 2008. Using Calendar Method we can find out the day. Hence I is sufficient.
From II: Yasir was born on Feb 29, 2008 (2012 -4 =2008). hence II is also sufficient.
- 5. Out of 64 students, 38 play both chess and crickets. How many students play only chess?
I. Out of 64 students, 22 students don't play any game. 4 student play only cricket.
II. Out of 64 students, 20 are girls and 10 of them don't play any game.
Options- A. if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- C. if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
- D. if the data given in both the statement I and II together are not sufficient to answer the question; and Discuss
Correct Answer: if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Explanation:
From I: 22 students don't play any game. Which means 64 - 22 =42 play either chess or cricket.Now, either chess or cricket = only chess + only cricket + Chess and Cricket or 42 = only chess = 0
From II; We don't get information about boys.Hence II is also sufficient.
- 6. What is the total number of students in the school?
I. The ratio of girls to boys is 2 : 3.
II. The number of student has grown by 5% this years as compared to 4 % last year from the number 2000, which it was year before last.
Options- A. if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- C. if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
- D. if the data given in both the statement I and II together are not sufficient to answer the question; and Discuss
Correct Answer: if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Explanation:
I leads us nowhere. II will give us the present strength as we have the base and percentage increases.
- 7. Who among the six of them is the tallest if Geetha is taller than Shipa and Deepa is taller than Meeta?(Sunita and Sadhana are other two).
I. Sadhana is taller than Sunita.
II. Sadhana is taller than Shipa and Meeta as well as Deepa
Options- A. if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- C. if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
- D. if the data given in both the statement I and II together are not sufficient to answer the question; and Discuss
Correct Answer: if the data given in both the statement I and II together are not sufficient to answer the question; and
Explanation:
From the question:
G > Sh: D > M
From I: Sa > Su
Not sufficient.
From II: Sa > Sh, M, D, But who is taller between Sa and G? Not sufficient.
- 8. on which date is Amit's birthday in September 2010?>
I. Last years hjis birthday was on last Thursday of the month in September 2009.
II. This year his birthday will be on the last Friday of the month in September 2010.
Options- A. if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- C. if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
- D. if the data given in both the statement I and II together are not sufficient to answer the question; and Discuss
Correct Answer: if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
Explanation:
The calendar method is helpful in either case.
- 9. Among M, P, K, J, T and W, who is lighter than only the heaviest?
I. P is heavier than M and T
II. W is heavier than P but lighter than J who is not the heaviest.
Options- A. if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- C. if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
- D. if the data given in both the statement I and II together are not sufficient to answer the question; and Discuss
Correct Answer:
Explanation:
From I: P> M, T
From II: J > W > P Combining, we get K > J > W > P > M, T
Hence, K is the heaviest and J lighter than only the heaviest.
- 10. How is 'never' writen in a code language?
I. never ever go there' is written as 'na ja ni ho' in that code language
II. 'go there and come back ' is written as 'ma ho sa ni da' in the code language.
Options- A. if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- C. if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
- D. if the data given in both the statement I and II together are not sufficient to answer the question; and Discuss
Correct Answer: if the data given in both the statement I and II together are not sufficient to answer the question; and
Explanation:
Only two words are common between I and II
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