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- Question
- Total marks obtained by P, Q, R and S in Mathematics is 360. How many marks did P secure in Mathematics?
I. P secured one-third marks of the total of Q, R and S.
II. Average marks obtained by Q and R are 20 more than that secured by S.
Options- A. if statement I alone is sufficient to answer the question.
- B. if statement II alone is sufficient to answer the question.
- C. if both statement I and II together are necessary to answer the question.
- D. if both statement I and II together are not sufficient to answer the question.
- Correct Answer
- if statement I alone is sufficient to answer the question.
ExplanationSince sum is 360 hence P + Q + R + S = 360
From statement I alone we will get P = (Q + R + S)/3 from this we can find the value of P hence statement I alone is sufficient enough.
From statement II alone we can not find the value of P. - 1. How many ice cubes can be accommodated in a container?
I. The length and breath of the container is 20 cm and 15 cm respectively.
II. The edge of the ice cube is 2 cm.
Options- A. if statement I alone is sufficient to answer the question.
- B. if statement II alone is sufficient to answer the question.
- C. if both statement I and II together are necessary to answer the question.
- D. if both statement I and II together are not sufficient to answer the question. Discuss
- 2. Ram got ? 1500 as dividend from a company.
What is the rate of interest given by the company?
I. The dividend paid last year was 10% .
II. Ram has 350 shares of ? 10 denomination.
Options- A. if statement I alone is sufficient to answer the question.
- B. if statement II alone is sufficient to answer the question.
- C. if both statement I and II together are necessary to answer the question.
- D. if both statement I and II together are not sufficient to answer the question. Discuss
- 3. Are all the four friend, viz A, B, C and D, who are sitting around a circular table, facing the centre?
I. B sits second to the right of D. D faces the centre. C sits on the immediate right of both B and D.
II. A sits on the immediate left of B. C is not an immediate neighbour of A.C sits on the immediate right of D.
III. D is an immediate neighbour of both A and C. B sits on the immediate left of A. C sits on the immediate right of B.
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 given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 4. How is 'one' coded in a code language?
I. 'one of its kind, is coded as 'zo pi ko fe' and in kind and cash' is coded as 'ga to ru ko'.
II. 'its point for origin' is coded as 'ba le fe mi' and 'make a point a clear' is coded as 'yu si mi de'.
III. 'make money and cash' is coded as 'to mi ru hy' and 'money of various kind' is coded as 'qu ko zo hy'.
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 given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 5. Point D is in which direction with respect to Point B?
I. Point A is to the west of Point B. Point C is to The north of Point B. Point D is to the south of Point C.
II. Point G is to the south of Point D. Point G is 4 km from Point B. Point D is 9m from point B.
III. Point A is to the west of Point B. Point B is exactly midway between Point E, Point D is to the west of Point F.
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. if
- C. the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
- D. if the data given in both the Statement I and II together are not sufficient to answer the question. Discuss
- 6. What is the middle number of 7 consecutive whole numbers?
I. Product of number is 702800.
II. sum of the the number is 105.
Options- A. if statement I alone is sufficient to answer the question.
- B. if statement II alone is sufficient to answer the question.
- C. if both statement I and II together are necessary to answer the question.
- D. if both statement I and II together are not sufficient to answer the question. Discuss
- 7. If C1 and C2 are the circumferences of the outer and inner circles respectively. What is C1 : C2?
I. The two circles are concentric.
II. The area of the ring is 2/3 the area of greater circle.
Options- A. if statement I alone is sufficient to answer the question.
- B. if statement II alone is sufficient to answer the question.
- C. if both statement I and II together are necessary to answer the question.
- D. if both statement I and II together are not sufficient to answer the question. Discuss
- 8. In a general body election, 3 candidates, p, q and r were contesting for a membership off the board.
How many votes did each receive?
I. p received 17 votes more than q and 103 votes more than r.
II. Total votes cast were 1703.
Options- A. if statement I alone is sufficient to answer the question.
- B. if statement II alone is sufficient to answer the question.
- C. if both statement I and II together are necessary to answer the question.
- D. if both statement I and II together are not sufficient to answer the question. Discuss
- 9. Is 'Ube' positive?
I. a + b is positive.
II. a - b is positive.
Options- A. if statement I alone is sufficient to answer the question.
- B. if statement II alone is sufficient to answer the question.
- C. if both statement I and II together are necessary to answer the question.
- D. if both statement I and II together are not sufficient to answer the question. Discuss
- 10. ?ABC and ?PQR are congruent
I. Area of ?ABC and ?pPQR are same
II. ?ABC and ?PQR are right angle Triangles.
Options- A. if the data in Statement I alone is sufficient to answer the question but the data in Statement II alone is not sufficient to answer the question.
- B. if the data in Statements II alone is sufficient to answer the question but the data in Statement I alone is not sufficient to answer the question.
- C. if the data in Statement I and II together are necessary to answer the question.
- D. if the data in Statement I and II together are not sufficient to answer the question. Discuss
Data Sufficiency problems
Search Results
Correct Answer: if both statement I and II together are not sufficient to answer the question.
Explanation:
Statement I is not sufficient as the size of the ice cube and height of the container is not known hence statement I is not sufficient alone.
Statement I is not sufficient as the dimension of the container is not known.
We cannot answer the question even by combining both the statement as the height of the container is not known.
Correct Answer: if statement II alone is sufficient to answer the question.
Explanation:
It is given that Ram got a dividend of ? 1500.
Statement I
Knowing the dividend paid last year, we cannot find the dividend paid this year.
Statement II
Given that Ram bought 350 shares of face value ? 10, and so, their total face value is ?3500. So, here we know the investment and the return hence wen can find out the rate of interest.
Correct Answer: if the data given in both the Statement I and II together are not sufficient to answer the question.
Explanation:
from I: Two-digit marks is less than or equal to 20.
Possible marks: 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20
From II: Suman scored more than 9 marks.
Possible marks: 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20
Hence statement I and II together are not sufficient.
Correct Answer: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Explanation:
From I: The possible day of exam is Wednesday.
From II. The third day of the week is Wednesday.
Hence, either statement I alone or statement II alone is sufficient.
Correct Answer: 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. if
Explanation:
From I: Possible months: January, February, March, April, May or June.
From II: Rahul's son correctly remembers that his father went on vacation after 31st March but before 1st May. So, his father went on vacation in the month of April. Hence only II is sufficient.
Correct Answer: if statement II alone is sufficient to answer the question.
Explanation:
Let the 7 consecutive whole numbers be (n ± 3), (n ± 2), (n ± 1), n.
Now i we consider Statement I alone
Product of these 7 integers = 702800
Since 702800 = 24 52 (251)(7), it cannot be the product of 7 consecutive whole numbers. Hence I alone is insufficient.
Now if we consider Statement II alone
Given that their sum = 105 = 7n or n = 15 and then 7 consecutive integers are 12, 13, 14, 15, 16, 17, 18 So, II alone is sufficient.
Correct Answer: if statement II alone is sufficient to answer the question.
Explanation:
If we look at Statement I
It is given that the circle are concentric. But nothing is given about their dimensions. Hence I alone is not sufficient.
In statement II ratio of area is given hence we can find the required ratio.
Correct Answer: if both statement I and II together are necessary to answer the question.
Explanation:
If we look at Statement I
i = p - 17 and r = p - 103
Hence, we cannot ind how many each received so this statement is not sufficient enough.
Now by considering Statement II alone.
p + i + r = 170
Hence, we cannot find how many each received. so, this statement is not sufficient enough.
Using I sand II together, we get the value of p and the value of q and r.
Correct Answer: if both statement I and II together are not sufficient to answer the question.
Explanation:
If we look at statement I then we will get
If a = 3 and b = 2, a + b > 0. Here b > 0
If a = 3 and b = -2, a + b > 0. Here b < 0
Hence I alone is not sufficient.
Now if we look at Statement II only then we will get
if a = 3 and b 2, a - b > 0. Here b > 0
If a = 3 and b = -2, a - b > 0. Here b < 0
Hence II alone is not sufficient.
Now by using statements I and II together
If a = 3 and b = 2, a - b > 0 and a + b > 0. Here b > 0
If a = 3 and b = -2, a - b > 0. and a + b > 0. Here b < 0.
Hence I and II together are also insufficient.
Correct Answer: if the data in Statement I and II together are not sufficient to answer the question.
Explanation:
Consider Statement I alone
Given that Area (?ABC) = Area(?PQR) since nothing about the sides or angles is mentioned, we can not say if they are congruent.Hence, I alone is not sufficient.
Consider Statement II alone
?ABC and ?PQR are right triangles. Nothing about the sides is given, Hence, II alone is not sufficient. Now using both I and II
Now we have two right angled triangle k with same area we may have different combination as only product of base and height is same. Hence even by using both the statement we can not find the answer.
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