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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.


  • Number System problems


    Search Results


    • 1. 
      On children's Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?

    • Options
    • A. 1450
    • B. 1700
    • C. 1500
    • D. 1650
    • Discuss
    • 2. 
      The differences between two numbers is 18. If four times the second numbers is less than three times the first number by 18, then what is the sum of these two numbers?

    • Options
    • A. 100
    • B. 80
    • C. 86
    • D. 90
    • Discuss
    • 3. 
      Out of three given numbers, the first number is twice the second and thrice the third. If the average of these three numbers is 154, then what is the difference between the first and the third numbers?

    • Options
    • A. 126
    • B. 42
    • C. 168
    • D. 52
    • Discuss
    • 4. 
      The sum of five consecutive odd numbers is equal to 175. What is the sum of the second largest number and the square of the smallest number among them together?

    • Options
    • A. 989
    • B. 997
    • C. 979
    • D. 995
    • Discuss
    • 5. 
      If the numerator of a certain fraction is increased by 2 and the denominator is increased by 1, then the resulting fraction is equal to the 1/2. If how ever the numerator is increased by 1, then denominator is decreased by 2, then the resulting fraction is equal to 3/5. Find the original fraction?

    • Options
    • A. 2/7
    • B. 3/5
    • C. 1/7
    • D. 2/5
    • Discuss
    • 6. 
      The sum of the square of two numbers is 97 and the square of their difference is 25. The product of the two number is

    • Options
    • A. 45
    • B. 36
    • C. 54
    • D. 63
    • Discuss
    • 7. 
      There are 200 question in a 3 hour examination. Among 200 question, 50 are Mathematics, 100 are from GK and 50 are from Sciences. Ram spent twice as much time on each Mathematics question for each other question. How many minute did he spend on Mathematics questions?

    • Options
    • A. 36
    • B. 72
    • C. 100
    • D. 60
    • Discuss
    • 8. 
      The taxi charges in a city contain fixed charges and additional charge per kilometer. The fixed charge is for a distance of up to 5 km and additional charge per kilometer thereafter. The charge for a distance of 10 km is ? 350 and for 25 km is ? 800. The charge for a distance of 30 km is

    • Options
    • A. ? 800
    • B. ? 750
    • C. ? 900
    • D. ? 950
    • Discuss
    • 9. 
      X, Y and Z had have dinner together. The cost of the meal of Z was 20% more then that of Y and the cost of the meal of X was 5/6 as much as the cost of the meal of Z. If Y paid ? 100, then what was the total amount that all the three of them had paid?

    • Options
    • A. ? 285
    • B. ? 300
    • C. ? 335
    • D. None of these
    • Discuss
    • 10. 
      In an examination paper of five questions 5% of the candidates answered all of them and 5% answered none. Of the rest 25% candidates answered only one question and 20% answered 4 question. If 396 candidates answered either 2 question or 3 question. The number of candidates that appeared for the examination was

    • Options
    • A. 800
    • B. 1000
    • C. 850
    • D. 900
    • Discuss


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