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  • Question
  • There are two examination halls P and Q. If 10 students shifted P to Q, then the number of students will be equal in both the examination halls. If 20 students shifted from Q to P, then the students of P would be doubled to the students of Q. The number of students would be in P and Q respectively are?


  • Options
  • A. 60, 40
  • B. 70, 50
  • C. 80, 60
  • D. 100, 80

  • Correct Answer
  • 100, 80 

    Explanation

    Let number of students in examination halls P and Q is x and y, respectively

    Then as per the first condition,
    x - 10 = y + 10
    ? x - y = 20 ..............(i)
    As per the second condition,
    ? x + 20 = 2( y - 20)
    ? x - 2y = - 60 ...............(ii)
    On subtraction Eq. (ii) from Eq. (i), we get
    - y + 2y = 20 + 60
    ? y = 80
    Putting the value of y Eq. (i) we get,
    x - 80= 20 ? x = 100
    Hence, number of students in examination halls P and Q is 100 and 80, respectively.


  • 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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