Data Sufficiency problems
- 1. 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
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 .
- 2. 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
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.
- 3. 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
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
- 4. 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
Correct Answer:
Explanation:
More data is required.
- 5. 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
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.
- 6. What is the ratio of two numbers x and y?
I. 40% of x is 20% of 50.
II. 30% of y is 25% of 72.
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
Correct Answer:
Explanation:
Statement I,
40/100 xx = 20/100 x 50 ? x = 25
Statement II,
30/100 x y = 25/100 x 72 ? y = 60
From both statements,
x : y = 25 : 60 = 5 : 12
- 7. How is the 'cost' written in the given code language?
I. In the coded as '@ 0 # 9' and 'cost was very high' is coded as '& 6 # 1' .
II. In the code language 'some cost was discunt' is coded as '1 8 7 #' . and 'some people like discount'.is coded as '8 7 5 %' .
Options- A. The data in both the Statements I and II together are necessary to answer the question
- B. the data neither in Statement I nor in Statement II are sufficient to answer the question
- C. 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
- D. 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 Discuss
Correct Answer: 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 Statement I,
tell me the cost ? @ 0 # 9
cost wase very high ? & 6 # 1
? cost ? #
From Statement II ,
Some cost was discount ? 1 6 7 #
Some people like discount ? 8 7 5 %
? some discount ? 8 7 and cost ? either 1 or #
Thus we can the code of 'cost' from Statement I only.
Hence, data in Statement I alone are sufficient to answer the question.
- 8. Is D the mother of s?
I. L is the husband of D . L has only three children.
II. N is the brother of S and P. P is the daughter of L .
Options- A. The data in both the Statements I and II together are necessary to answer the question
- B. the data neither in Statement I nor in Statement II are sufficient to answer the question
- C. 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
- D. 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 Discuss
Correct Answer: 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 Statement I L is the husband of D . as L has three children , D also has three children .
From Statement II, N, S and P are siblings and are the children of L and of D also . Thus , D is the mother of S .
Hence , data in both the Statement I and II together are necessary to answer the question .
- 9. How many student are there in the class?
I. there are more than 20 but less that 27 student in the class .
II. there are more than 24 but less then 31 student in the class the number of student in the class can be divided into group such that each group contains 5 students.
Options- A. The data in both the Statements I and II together are necessary to answer the question
- B. the data neither in Statement I nor in Statement II are sufficient to answer the question
- C. 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
- D. 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 Discuss
Correct Answer: The data in both the Statements I and II together are necessary to answer the question
Explanation:
From Statement I,
Number of student in the class
= 21 or 22 or 23 or 24 or 25 or 26
From Statement II,
Number of student in the class
= 25 or 26 or 27 or 28 or 29 or 30
Sine , number of student can be divided into group of 5 students, therefore number of student must be multiple of 5.
? NUmber of student in the class = 25 or 30
Combining Statement I and II .
Number of Student in the class = 25
Hence , the data in both the Statement I and II together are necessary to answer the question .
- 10. Among five friend ? J, K, L, M, and N each of a different height , who is the second tallest?
I. N is taller than M and K,K is shorted than M.
II. L is taller than M and N. J is not the tallest.
Options- A. 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
- B. the data neither in Statement I nor in Statement II are sufficient to answer the question
- C. 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
- D. The data in both the Statements I and II together are necessary to answer the question Discuss
Correct Answer: the data neither in Statement I nor in Statement II are sufficient to answer the question
Explanation:
From Statement I,
N > M > K
From Statement II ,
L > N
From both the Statement
L > N > M > K
but height of J is not clear .
Thus second tallest friend cannot be determined.
Hence, data neither in Statement I nor in Statement II are sufficient to answer the question .
More in Data Interpretation:
Programming
Copyright ©CuriousTab. All rights reserved.