Quantitative Aptitude: Ratio and Proportion Questions Set 9

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  1. Number of persons in 9th and 10th class is in ratio of 6:11.40% in class 9th are females and 48% in class 10th .What percentage of persons in both the classes are males?
    54.80%
    63.50%
    55.50%
    59.25%
    None of these
    Option A
    Total persons=6x+11x=17x
    Males in class 9th=(60/100)*6x=360x/100
    Males in class 10th=(52/100)*11x=572x/100
    Sp total persons-=360x/100 + 572x /100

     

  2. Consider two alloys X and Y.50 kg of alloy X is mixed with 70kg of alloy Y. X contains bronze and aluminum in ratio 3:2 , and Y contain them in ratio 4:3 respectively.What is the ratio of aluminium to bronze in the mixture?
    2:5
    3:4
    5:7
    1:5
    None of these
    Option C
    Bronze in X=3/5 *50=30
    Bronze in Y=4/7*70=40
    tOTAL Bronze=30+40=70
    So luminum in mixture is (50+70) -70=50 kg
    So aluminum to brass is 50:70

     

  3. Two alloys contains aluminum and copper in ratio 3:7 and 7:3 respectively.In what ratio these alloys must be mixed with each other so that we can get a alloty of aluminnum and silver in ratio of 2:3?
    2:5
    3:4
    3:1
    1:2
    None of these
    Option C
    Aluminum =3/10 and copper =7/10 – first vessel
    Aluminum =7/10 and copper=3/10-scond vessel
    Let the alloy mix be k:1,
    (3k/10 +7/10) / (7k/10 +3/10) = 2/3

     

  4. If 40% of number is subtracted from the second number then the second number is reduced to 3/5.Fi d the ratio between first number and second number ?
    1:2
    1:8
    1:5
    1:1
    None of these
    Option D

     

  5. A company TCS reduces hs employee in ratio 14:12 and increases his wages in ratio 16:18 .Detrmine whetehr bill of wages increaes or not and in what ratio?
    Decreaese and 24:22
    Increaese and 25:26
    Decreases and 28:27
    Increeses and 27:95
    None of these
    Option C

     

  6. A vessel contins X and Y in ratio 4:5. 36 litres of mixture is taken out and and filled with 36 litre of Y.Now the ratio changes to 2:5.Find the quantity of Y initially?
    54 l
    56 l
    58 l
    60 l
    65 l
    Option B
    Let X=4x and Y=5x
    Now X=4x-36*4/9
    Y=5x-36*5/9
    Ratio between X and Y=2:5

     

  7. 50 litres of the mixture contains coke and water in ratio of 2:3.Hiw much cock should be added to mixture so that it contins coke and water in proportion of 3:2?
    35 l
    30 l
    25 l
    22 l
    None of these
    Option C
    =(20+x)/30 =3/2

     

  8. Two alloys contain aluminum and silver in ratio of 1;2 and 1:3 respectively.A third alloy Z is formed by mixing alloys one and alloys two in ratio 3:4.Find the percentge of silver in the mixture?
    71.3/7%
    72.5/8%
    75.5/8%
    71.5/4%
    None of these
    Option A
    Aluminum =1/3 and 1/4
    Silver=2/3 and 3/4
    Therefore,silver perentage =(5/7)*100

     

  9. Two diyas of same height are lighted at same time,The first is consumed in 6 hours and second in 4 hours.Assuming that each diyas burns at a constant rate,in how many hours after being lighted,the ratio between the first and second diyas becomes 2:1?
    1 hours
    3 hours
    2 hours
    4 hours
    None of these
    Option B
    Let height be h and let after t times ratio between height 2;1
    =h-t*h/6 : h-t*h/4 =2:1
    t=3

     

  10. The ratio of two numbers is 3:4.If three is subtracted from both numbers,the ratio becomes 1:2.What is the sum of two numbers?
    15
    12
    10.5
    10
    None of these
    Option C
    (3x-3)/(4x-3)=1/2