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Home Aptitude Elementary Algebra See What Others Are Saying!
  • Question
  • In a rare coins collection, there is one gold coins for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1:2. Based on the information, the total number of coins in the collection now becomes?


  • Options
  • A. 90
  • B. 80
  • C. 60
  • D. 50

  • Correct Answer
  • 90 

    Explanation

    Let the number of gold coins initially be x and the number of non-gold coins be y.
    According to the question, 3x = y .....(i)
    When 10 more gold coins are added, then total number of gold coins becomes x + 10 and the number of non-gold coins remain the same as y.
    Now,we have 2(10 + x) = y ....(ii)
    On solving these two equations, we get x = 20 and y = 60

    ? Total number of coins in the collection at the end is equal to x + 10 + y = 20 + 10 + 60 = 90.


  • More questions

    • 1. 
      In a two-digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is

    • Options
    • A. 47
    • B. 59
    • C. 23
    • D. 35
    • Discuss
    • 2. 
      If a number is multiplied by three-forth of itself. The value thus obtained is 10800. What is that number?

    • Options
    • A. 210
    • B. 180
    • C. 120
    • D. 160
    • Discuss
    • 3. 
      A can beat B by 5 meters in 100 m and B can beat C by 15 meters in 200 m race. A can beat C in 400 m race by:

    • Options
    • A. 50.5 m
    • B. 48.5 m
    • C. 45.5 m
    • D. 42.5 m
    • Discuss
    • 4. 
      A train is running at the rate 40 kmph. A man also is going in the same direction parallel to the train at the speed of 25 kmph. If the train crosses the man in 48 sec, the length of the train is?

    • Options
    • A. 50 meters
    • B. 100 meters
    • C. 150 meters
    • D. 200 meters
    • Discuss
    • 5. 
      If H is the orthocentre of ? ABC, then the orthocentre of ? HBC is (fig. given) :

    • Options
    • A. N
    • B. M
    • C. A
    • D. L
    • Discuss
    • 6. 
      A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30m/min, than the radius of the circular ground is (take ? = 22/7)

    • Options
    • A. 10.5 m
    • B. 3.5 m
    • C. 5.5 m
    • D. 7.5 m
    • Discuss
    • 7. 
      A and B are two events such that P(A) = 0.3 and P ( A?B) = 0.8. If A and B are independent, then P (B) is

    • Options
    • A. 2/3
    • B. 3/8
    • C. 2/7
    • D. 4/7
    • Discuss
    • 8. 
      If two diameters of a circle intersect each other at right angles, then the quadrilateral formed by joining here end points is a :

    • Options
    • A. Rhombus
    • B. Rectangle
    • C. Square
    • D. Parallelogram
    • Discuss
    • 9. 
      What is the least number must be added to 1057 to get a number exactly divisible by 23?

    • Options
    • A. 1
    • B. 3
    • C. 2
    • D. 4
    • Discuss
    • 10. 
      A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speed is?

    • Options
    • A. 4:1
    • B. 1.4
    • C. 2:1
    • D. 1:2
    • Discuss


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