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  • Question

  • 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

  • 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.

    • Data Sufficiency problems

    Search Results

    • 1. 
      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
    • 2. 
      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
    • 3. 
      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
    • 4. 
      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
    • 5. 
      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
    • 6. 
      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
    • 7. 
      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
    • 8. 
      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
    • 9. 
      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
    • 10. 
      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

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