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Home Aptitude Percentage See What Others Are Saying!
  • Question
  • In a town 25% families own a phone and 15% own a car, 65% families own neithers a phone nor a car. 2000 families own both a phone and a car. Consider the following statement in this regard.
    (i) 10% families own both a car and a phone.
    (ii) 35% families own either a car or a phone.
    (iii) 40000 families live in the town.
    Which of the above statement are correct?


  • Options
  • A. I and II
  • B. I and III
  • C. II and III
  • D. I, II and III

  • Correct Answer
  • II and III 

    Explanation

    Suppose N% familes own both a car and a phone, then
    percentage of the families owing only a phone = 25 - N
    Percentage of the families owing only a car = 15 - N
    ? (25 - N) +(15 - N) + N + 65 = 100
    ? N = 5
    Percentage of families who have either a car or a phone = (25 - 5) + (15 - 5) + 5 = 35
    So, Statement ll is correct.

    Now, suppose the total number of families in the town be A.
    ? (5 x A)/100 = 2000 ? A = 40000
    So, Statement lll is also correct.


  • More questions

    • 1. 
      3739 + 164 x 27 =?

    • Options
    • A. 105400
    • B. 4000
    • C. 8200
    • D. 690
    • Discuss
    • 2. 
      A solution of sugar syrup has 15 % sugar. Another solution has 5 % sugar. How many liter of the second solution must be added to 20 liters of the first solution to make a solution of 10 % sugar?

    • Options
    • A. 10
    • B. 5
    • C. 15
    • D. 20
    • Discuss
    • 3. 
      If x = 997, y = 998, z = 999, then the value of x2 + y 2 + z 2 ? xy ? yz ? zx will be

    • Options
    • A. 3
    • B. 9
    • C. 16
    • D. 4
    • Discuss
    • 4. 190, 166, 145, 128, 112, 100, 91

    • Options
    • A. 100
    • B. 166
    • C. 145
    • D. 128
    • E. 112
    • Discuss
    • 5. 
      In how many ways can the letter of the word ' civilization' be arranged?

    • Options
    • A. 12! / 4!
    • B. 12! / 4! -1
    • C. 13! / 5! - 1
    • D. None of these
    • Discuss
    • 6. 
      From 4 officers and 8 Jawans in how many ways can 6 be chosen to include at least one officer?

    • Options
    • A. 896
    • B. 986
    • C. 886
    • D. 996
    • Discuss
    • 7. 
      The average age of a man and his son is 27 yr. The ratio of their ages is 8 : 1, respectively. What will be the son's age after 6 yr?

    • Options
    • A. 6 yr
    • B. 14 yr
    • C. 12 yr
    • D. 8 yr
    • Discuss
    • 8. 
      If nP r= 720 nC r than the value r is?

    • Options
    • A. 6
    • B. 5
    • C. 4
    • D. 7
    • Discuss
    • 9. 
      The average daily wages of staff, consisting of supervisors and labourers, of a company is Rs. 50. The average wages of supervisors is Rs. 150 while that of labourers is Rs. 40 per day. If the number of supervisors is 15, find the number of labourers in the company.

    • Options
    • A. 150
    • B. 175
    • C. 180
    • D. 200
    • Discuss
    • 10. 
      If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/ 27. find the fraction?

    • Options
    • A. 8/27
    • B. 11/3
    • C. 22/3
    • D. 32/3
    • Discuss


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