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- Question
- 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
- Correct Answer
-
ExplanationFrom 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 . - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 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
- 6. What is the exact average of n, 35, 39, 42, p and w ?
I. n is six more than w.
II. w is four less than p.
Options- A. If the data in Statement I alone are suffcient 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
- 7. What was the per cent profit /loss earned incurred by selling an article for ? 24000?
I. The ratio of the selling price to the cost price of the article is 5 : 3.
II. The difference between the cost price and the selling price is ? 9600.
Options- A. If the data in Statement I alone are suffcient 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 alon 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
- 8. What will be the difference between two numbers?
I. The square of the first number is 9 times the second number .
II. The ratio of the first number to the second number is 3 : 4.
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
- 9. In how many days 14 men can complete a piece of work?
I. if 18 women can complete the same piece of work in 24 days.
II. if 28 children can complete the same piece of work in 56 days.
Options- A. If the Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient
- B. if the Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient
- C. if both the Statement I and II together are needed to answer the question
- D. if either the Statement I alone or Statement II alone is sufficient to answer the question Discuss
- 10. What is the average age of the six member A, B, C, D, E and F in the family?
I. Average age of D and E is 14 yr.
II. Average age A, B, C and F is 50 yr.
III. Average age of A, B, D and E is 40 yr.
Options- A. I and II
- B. I and III
- C. II and III
- D. I, II and III Discuss
Data Sufficiency problems
Search Results
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.
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.
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.
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.
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
Correct Answer: if the data in both the Statement I and II are not sufficient to answer the question
Explanation:
From Statement I.
n = W + 6
From Statement II,
p = w + 4
The value of w is not given.
So, exact average can't be determined .
Correct Answer: If the data in Statement I alone are suffcient to answer the question while the data in Statement II alone are not sufficient to answer the question
Explanation:
Selling price of an article = ? 24000
From Statement I.
Cost price = 3/5 x 24000 = ? 14400
? Profit % = [(24000 - 14400)/14400] x 100
= 66.66%
From Statement II,
it is not clear that cost price is more than selling price or vice-versa.
Correct Answer:
Explanation:
Suppose, numbers be x and y.
Statement I. x2 = 9y
Statement II, x/y = 3/4
From both statement, we get
x = 12 and y = 16
Correct Answer:
Explanation:
More data is required.
Correct Answer: I and II
Explanation:
From Statement I,
D + E = 14 x 2 = 28
From Statement II,
A + B + C + D + E + F = 4 x 50 = 200
(A + B + C + D + E + F)/6 = 28 + 200/6
= 228/6 = 38
? Statement I and II are sufficient to answer the question.
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