Data Sufficiency problems
- 1. Who amongst A, B, C, D, and E is the tallest?
I. A is taller than B but shorted than C, D is not the tallest.
II. Two people taller than C.
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 either 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 together are not sufficient to answer the question. Discuss
Correct Answer:
Explanation:
From I: C > A > B and - > D
From II: -> - > C. Comblining, we get E > D > C > A > B.
- 2. Which directions is Ali facing?
I. If Ken, who is currently facing East turns 90° towards his right he would face a direction exactly opposite to the direction which Ali is facing
II. If Priya who is currently facing South, turns left, walks 1m and then takes a left turn again, she would face the same direction as Ali.
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 either 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 together are not sufficient to answer the question. Discuss
Correct Answer: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Explanation:
Using Statement I: If ken turns 90° towards his right he will face South. So, Ali is facing north.
Using Statement II: In the end Priya faces north. So, Ali also faces north.
- 3. Did 300 candidates appear for the written examination for admission into College X?
I. The principal of the college correctly mention that the number of candidates who had appeared for the examination was more than 200.
II. According to a statistical report, only 175 candidates could qualify the examination.
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 either 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 together are not sufficient to answer the question. Discuss
Correct Answer: if the data in both the Statement I and II together are not sufficient to answer the question.
Explanation:
Even by using both the statements together we can only determine that number of candidates appeared was more than 200.
- 4. How many brother does A have?
I. A, who is B's brother, has two siblings.
II. D is brother of A and is youngest in the family.
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 either 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 together are not sufficient to answer the question. Discuss
Correct Answer: if the data in both the Statement I and II together are not sufficient to answer the question.
Explanation:
Even by using both the statements together we cannot determine the gender of B. So, A can have one or two brothers.
- 5. How for is point P from Point Q? (All the point lie on a straight line.)
I. Point T is exactly midway between Point P and Q.
Point T is 5 km towards the west of Point R.
II. Point Q is 2 km towards the east of Point 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 either 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 together are not sufficient to answer the question. Discuss
Correct Answer:
Explanation:
Using I:
T 5 R and T is midway between P and Q
Using II:
R 2 Q
Using both:
P 7 T 5 R 2 Q
- 6. On which floor of the building does G stay? (the building has five floor 1, 2, 3, 4, 5.)
I. Only the even-number floors are occupied and G does not stay on the second floor.
II. G does not stay on an odd-numbered floor.
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 either 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 together 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:
I. Using I only, we cannot determine that G stays on 4th floor.
- 7. How many days did Raju take to complete his assignment?
I. Mohit correctly remembers that Raju took more than 3 days less than 9 days to complete his assignment.
II. Mina correctly remembers that Raju took more than 7 days less than 11 days to complete his assignment.
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 either 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 together are not sufficient to answer the question. Discuss
Correct Answer:
Explanation:
I. Raju can take 4 to 8 days to complete the work.
II. Raju can take 8 to 10 days to complete the work.
Using both the statements together we can determine that Raju took 8 days to complete the work.
- 8. How is the word 'GATES' coded in the code language?
I. 'BRICK' is coded as 'LDJSC' and 'PIN' is coded as 'QJQ'
II. 'WATER' is coded as 'SFUBX' and 'DIST' is coded as 'ITJE'
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 either 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 together are not sufficient to answer the question. Discuss
Correct Answer: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Explanation:
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.
- 9. Among A, B, C and D, which school has the highest number of students.
I. School A has fewer students than school D.
II. School C has fewer students than school D.
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 either 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 together are not sufficient to answer the question. Discuss
Correct Answer: if the data in both the Statement I and II together are not sufficient to answer the question.
Explanation:
Even by using both the statements together we cannot determine whether B has highest number of student or D.
- 10. What is the perimeter of a semi-circle?
I. The radius of the semi- circle is equal to half the side of a square.
II. The area of the square is 196 sq cm.
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 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 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 Statement II.
Suppose, side of a square be x.
Hence, x2 = 196
? x = 14 cm
From Statements I and II,
Radius of semi-circle, r = 7 cm
? Circumference of semi-circle
?r = 22/7 x 7 = 22 cm
Hence, both Statement are required .
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