Data Sufficiency problems
- 1. What is the present age of Subir?
I. The present age of Subir is half that of his father.
II. After 5 years the ratio of Subir's age to his father'swill be 6 : 11.
III. Subir is 5 years younger than his brother.
Options- A. Only I and II
- B. Only I and III
- C. Only II and III
- D. All I, II and III Also asked in: Bank Exams
Correct Answer: Only I and II
Explanation:
- 2. What is the speed of the train 'A'?
I. Train A crosses 200-metre-long train B running in opposite direction in 20 seconds.
II. Speed of the train B is 60 Km/h.
III. Length of train A is twice that of train B.
Options- A. I and II only
- B. II and III only
- C. I and III only
- D. All, I II and III Discuss
Correct Answer: All, I II and III
Explanation:
- 3. What is the area of the isosceles triangle?
I. Perimeter of the triangle is 14 m.
II. Base of the triangle is 14 m.
III. Height of the triangle is 5 m.
Options- A. I and II only
- B. II and III only
- C. I and II only or, II and III only
- D. I and III only Discuss
Correct Answer: II and III only
Explanation:
- 4. Who earns most among M, N, P, Q and R?
I. M earns less than P but not less than R.
II. Q earns more than M but not equal to N.
III. N earns more than M and R.
Options- A. Question cannot be answered even within formation in all three statements
- B. I and II only
- C. Only I and II or only I and III
- D. Only I and III Discuss
Correct Answer: Question cannot be answered even within formation in all three statements
Explanation:
- 5. The cost of carpeting a rectangular hall will be how much?
I. Perimeter of a rectangle is 60 m.
II. Angle between width and hypotenuse is 60°.
III. The cost of carpeting the surface floor is $125 per m 2.
Options- A. Only I and II
- B. Only II and III
- C. Only I and III or only II and III
- D. Question cannot be answered even within formation in all three. Discuss
Correct Answer:
Explanation:
- 6. What is Sudha's present salary?
I. The salary increases every year by 15%
II. Her salary at the time of joining was $10000.
III. She had joined exactly 5 years ago.
Options- A. II and III only
- B. I and II only
- C. All I, II and III
- D. I and III only Discuss
Correct Answer: All I, II and III
Explanation:
- 7. How many students are there in all in the institute of Arts, Commerce and Science?
I. 20% of the students study Science.
II. The numbers of students studying Arts and Commerce are in the ratio of 3 : 5.
III. The number of students studying Commerce is more than that studying Science by 375.
Options- A. II and III only
- B. III and either I or II only
- C. Any two of the three
- D. All I, II and III Discuss
Correct Answer: All I, II and III
Explanation:
As per given above statements , we can see that
I. % of the students study Science = 20%
II. The ratio of numbers of students studying Arts and Commerce = 3 : 5.
III. The number of students studying Commerce is more than that studying Science by 375.
From above it is clear that Statements I and II give the percentage number I of students studying in different disciplines. Combining this with (iii), the total number of students can be determined.
- 8. In how many days can a work be completed by A and B together?
I. A alone can complete the work in 8 days.
II. If A alone works for 5 days and B alone works for 6 days, the work gets completed.
III. B alone can complete the work in 16 days.
Options- A. Any two of the three
- B. II and either I or II
- C. I and II only
- D. II and III only Discuss
Correct Answer: Any two of the three
Explanation:
- 9. What is a two-digit number?
I. The difference between the two-digit number and the number formed by interchanging the digits is 27.
II. The difference between the two digits is 3.
III. The digit at unit's place is less than that at ten's place by 3.
Options- A. Only I and II
- B. Only I and either II or III
- C. Only I and III
- D. All I, II and III Discuss
Correct Answer:
Explanation:
As per given all statements , we can see that
Let, the two-digit number be 10x + y.
I. ? | 10x + y ? 10y ? x | = 27 ? |x ? y | = 3
II. ? |x ? y | = 3
III. ? x ? y = 3
All the given informations are not sufficient so answer can not be determined .
Here, by taking any two of three , the values of x and y cannot be determined. So, choice ( E ) is the correct answer.
- 10. In how many days can a work be completed by A, B and C together?
I. A and B together can complete the work in 6 days.
II. B and C together can complete the work in 3 3 days 4
III. A and C together can complete the work in 3 1 days 3
Options- A. Only I
- B. Only II
- C. Only III
- D. Anyone of the three Discuss
Correct Answer:
Explanation:
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