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- Question
- Is T grandmother of Q?
I. P is the mother Q. Q is the son of R. R is the son of T.
II. L is father of N and N is daughter of T.
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
- Correct Answer
-
ExplanationIn I, Sex of T is not known. In II, Q does not figure. Hence we need both the statements to establish the relationship.
- 1. Are all the five friends, viz, Leena, Amit, Arun, Ali and Ken, who are seated around a circular table, facing the centre?
I. Leena sits second to the left of Amit. Amit face the centre. Arun sits second to the right of Leena.
II. Ali sits on the immediate left of Ali but Ken is not an immediate neighbour of Amit.
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
- 2. Who amongst L, M, N, O and P is the shortest?
I. O is shorter than P but taller than N.
II. M is not as tall as L.
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
- 3. What will be the number?
I. One-fifth of a number is equal to 20% of that number.
II. Thirty-five percent of a number is 7 / 20 of that number.
Options- A. If the data in statement I alone are sufficient to answer the question, while the data in statement I 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 statement I alone or in statement II alone are sufficient to answer the question.
- D. If the data even in both statements I and II together are not sufficient to answer the question. Discuss
- 4. What is the smaller angle of a parallelogram?
I. Ratio between the angles of a triangle is 3 : 5 : 4 and the larger angle, of the parallelogram is 34 ° more than the largest angle of the triangle.
II. Larger angle of the parallelogram is 38° more than its smaller angle.
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 either Statement I alone or in Statement II alone are sufficient to answer the question
- D. If the data in both the Statements I and II are not sufficient to answer the question Discuss
- 5. What is the respective ratio between the length of a rectangle and side of square?
I. Area of the square is 576 sq cm and the area of the rectangle is 600 sq cm
II. Breadth of the rectangle is half the side of the square.
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 either Statement I alone or in Statement II alone are sufficient to answer the question
- D. If the data in both the Statements I and II are not sufficient to answer the question Discuss
- 6. Point A is towards which direction from point B?
I. If a person walks 4m towards the north from point A, and takes two consecutive right turns each after walking 4m, he would reach point C, which is 8 m away from point B.
II. Point D is 2m towards the east of point A and 4m towards the west of point B.
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
- 7. How many brothers does Bharat have?
I. Shiela, the mother of Bharat, has only three children.
II. Meena, the grandmother of Bharat, has only one granddaughter.
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
- 8. How is 'letter written in a code language?
I. 'please write a letter' is written as '7218' 'and recieved a Greek letter' is written as '7513'.
II. 'write in English please' is written as '2084' and 'a Greek' is written as '5714'.
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 together are not sufficient to answer the question. Discuss
- 9. Among A, B, C,D and E seated in a straight line, facing North, who sits exactly in the middle of the line?
I. A sits third to the left of D. B sits on the immediate right of C.
II. B sits second to the right of A. E is not an immediate neighbour of 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 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
- 10. A six-storey building consisting of an unoccupied ground floor and five floors on the top of the ground floor numbered 1, 2, 3, 4, and 5 houses five different persons, viz A, B, C, D and E. Who lives on third floor?
I. C lives on an even-numbered above D. B live immediately above A.
II D lives on an odd-numbered floor. A and B are immediate neighbours. Similarly, C and E are immediate neighbours. C does not live 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 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
Data Sufficiency problems
Search Results
Correct Answer: if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
Explanation:
From I: If all of them face the centre, it means if A sits second to the left of B, then B should sit second to the right of A. But here Amit and Arun are different persons. Hence all of them do not face the centre
From II: Again suppose of them face the centre like KEN. Ali sits third to the left of ken. Now, if Amit sits on the left of Ali obviously ken should be his neighbour. But the statement says otherwise. Hence our assumption is disproved. All of them do not face the centre.
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: P > O > N
From II: L > M From I and II, either M or N is the shortest. We can't determine who is shorter between the two of them.
Correct Answer: If the data even in both statements I and II together are not sufficient to answer the question.
Explanation:
Data in both statements I and II together are not sufficient to answer the question. Hence, required answer is option D .
Correct Answer: If the data in either Statement I alone or in Statement II alone are sufficient to answer the question
Explanation:
From Statement I.
Let the ratio proportion is x.
some of angle of triangle = 180 °
3x + 5x + 4x = 180 °
12x = 180 °
x = 180 ° /12
x = 15 °
Largest angle of triangle
= 5x = 5 x 15
= 75 °
? Larger angle of parallelogram
= 75 ° + 34 °
= 109 °
? Smaller angle of parallelogram
= 180 ° - 109 °
= 71 °
From Statement II,
Let the smaller angle of parallelogram be = x
and the larger angle of parallelogram = x + 38 °
Sum of two opposite angles of a parallelogram = 180 °
x + x + 38 ° = 180 °
? 2x = 180 ° - 38°
? 2x = 142°
? x = 142° / 2
? x = 71 °
Correct Answer:
Explanation:
From Statement I,
Area of square = 576 sq cm
? Side of square = Square root of Square's area
? Side of square = Square root of 576 = 24 cm
and area of rectangle = 600 sq cm
area of rectangle = ( length x breadth ) of rectangle
We cannot find the length of rectangle
From Statement II,
Breadth of rectangle = side of square x 1/2
Breadth of rectangle = 24 x 1/2 = 12 cm
? Length of rectangle = 600/12 = 50 cm
? Ratio = Length of rectangle/ Side of square = 50/24
= 25/12
Correct Answer: if the data given in both the statement I and II together are not sufficient to answer the question; and
Explanation:
From I: We don't known whether B is to the west or east of C. In fact, it could be in any other direction.
From II: Obviously A is west of B.
Correct Answer: if the data in both the Statement I and II are not sufficient to answer the question.
Explanation:
From I: Bharat has two siblings but we don't know their sex.
Correct Answer: if the data in both the Statement I and II together are not sufficient to answer the question.
Explanation:
Using Statement I:
a letter ? '71'
Using Statement II:
'in' ? '4'
Using both:
'Greek' ? '5' and 'received ? '3'
Code for 'letter' cannot be found even by using both statements together.
Correct Answer:
Explanation:
Using Statement I:
A C B D
Position of E Cannot be found it can be left of A or right of D.
Using Statement II: Many seating arrangements are possible
Using both: E A C B D is the unique arrangement are that is possible and C sits in the middle.
Correct Answer: if the data in both the Statement I and II together are not sufficient to answer the question.
Explanation:
Using Statement I:
We get two arrangement, ie
5 ? B E
4 ? A C
3 ? D or B
2 ? C A
1 ? E D
Using Statement II: Many arrangements are possible.
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