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- Question
- 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
- Correct Answer
-
ExplanationAs 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. - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. What is the percent profit earned by a shopkeeper on selling the articles in his shop?
I. Labelled price of the articles sold was 130% of the cost price.
II. Cost price of each article was $550.
III. A discount of 10% on labelled price was offered.
Options- A. Only I
- B. Only II
- C. Only III
- D. All the three are required. Discuss
- 8. What is the average salary of 15 employees?
I. Average salary of 7 clerical cadre (out of the 15 employees) employees is $ 8500.
II. Average salary of 5 officer cadre (out of the 15 employees) employees is $ 10000.
III. Average salary of the 3 sub-staff employees (out of the 15 employees) is $ 2500.
Options- A. None
- B. Only I
- C. Only II
- D. Only III Discuss
- 9. What is the cost of flooring a rectangular hall?
I. The length and the breadth of the hall are in the ratio of 3 : 2.
II. The length of the hall is 48 m and the cost of flooring is $850 per m 2.
III. The perimeter of the hall is 160 m and the cost of flooring is $850 per m 2.
Options- A. Only I and II
- B. Only I and III
- C. Only III
- D. Only I and either II or III Discuss
- 10. What is the total compound interest earned at the end of three years?
I. Simple interest earned on that amount at the same rate and for the same period is $ 4500.
II. The rate of interest is 10 p.c.p.a.
III. Compound interest for three years is more than the simple interest for that period by $ 465.
Options- A. OnlyI and II
- B. Only II and III
- C. Only I and III
- D. Anyone of the three Discuss
Data Sufficiency problems
Search Results
Correct Answer: Any two of the three
Explanation:
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.
Correct Answer: All I, II and III
Explanation:
Correct Answer:
Explanation:
Correct Answer: Question cannot be answered even within formation in all three statements
Explanation:
Correct Answer:
Explanation:
Correct Answer: Only II
Explanation:
Correct Answer: Only I
Explanation:
From above given all statements , we have
I. Average salary of 7 clerical cadre employees = $ 8500.
Sum of salary of 7 clerical cadre employees = $ 8500 x 7 = $ 60000
II. Average salary of 5 officer cadre employees = $ 10000.
Sum of salary of 5 officer cadre employees = $ 10000 x 5 = $ 50000
III. Average salary of the 3 sub-staff employees = $ 2500.
Sum of salary of 3 sub-staff employees = $ 2500 x 3 = $ 7500
Average salary of 15 employees = Sum of salary of 7 clerical cadre employees + Sum of salary of 5 officer cadre employees + Sum of salary of 3 sub-staff employees = 60000 + 50000 + 7500 = $ 117500/15 = $ 7834
Correct Answer:
Explanation:
Correct Answer: Anyone of the three
Explanation:
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