Quantitative Aptitude: Mixture and Alligation Questions Set 7

 

  1. A shopkeeper sells two types of books national books and international books .He sells national books at Rs. 18 / book  and incurs at loss of 10% whereas on selling the international books at Rs. 30 / book ,he gains 20 % .Find the ratio of the national and international books such that he can gain a profit of  25% by selling the combined books at 27.5/ book ?
    A)  5:6
    B)  5:2
    C)  4:5
    D)  2:3
    E)  4:7
    View Answer

    Option  B
    Solution:
    Loss at national books =  10% = 1/10
    SP -> 9 = 18
    1 = 2
    CP -> 10 = 20
    Gain at  international books = 20 % = 1/5
    SP -> 6 = 30
    1 = 5
    CP ->5 = 25
    CP = 4 *5.5  = 22
    National Books                            International Books
    20                                                          25
                                
    .                                 22
    5                                                              2
  2. One test  tube contains some acid and another test tube contains an equal quantity of water .To prepare a solution , 20 g of the acid is poured into the second test tube .Then , two –third of the so- formed solution is poured from the second tube into the first .If the fluid in the first test tube is four times that in the second ,what quantity of water was taken initially ?
    A)  90 g
    B)  70 g
    C)   154 g
    D)  100g
    E)   180 g
    View Answer

    Option  D
    Solution:
    Let x g of water was taken initially .
    1st process
    First test tube (x- 20)
    second test tube (x +20)
    2nd process
    First test tube = [(x-20) +2/3 (x+20)]
    Second test tube = 1/3(x+20)
    Now ,
    (x -20 ) + 2/3(x+20) = 4* (1/3)(x+20)
    => x = 100 g
     
  3. Two brands of detergents are to be combined . Detergent  A contains  40 % bleach and 60 % soap . While detergent  B contains  25 % bleach and  75%  soap . If the combined mixture is to be 35 % bleach .What % of the final mixture should be detergent A?
    A)  30%
    B) 45.64%
    C)   20%
    D)  32.5%
    E)  66.67%
    View Answer

    Option E
    Solution:
    A                                                         B
    40                                                       25
    .                               35
    10                                                           52   :    1
    Therefore ,
    % of detergent in A = (2 /3) *100 =
  4. A thief has stolen  15 L of beer from a container and replaced with the same quantity of water .He again repeated this process 3 times .Thus the ratio of the beer become 343 :169 .Find the initial amount of beer in the container .
    A)  90 L
    B) 120 L
    C) 140 L
    D)  110 L
    E)  80 L
    View Answer

    Option B
    Solution:
    The initial amount of beer in the container was =343 + 169 = 512 L
    Initial amt. of beer  : After mixed with water
    512 : 343
    Taking cube roots on both the sides,
    8 :7
    For 1 unit of beer -> 15 L
    For 8 units of beer -> 120 L
  5. A tank which contains a mixture of syrup and water in ratio 15:6. 25.5 litres of mixture is taken out from the tank and 2.5 litres of pure water and 5 litres of syrup is added to the mixture. If resultant mixture contains 25% water, what was the initial quantity of mixture in the tank before the replacement in litres?
    A)  77.7

    B)  70.78
    C) 75.6
    D)  80.5
    E)  76
    View Answer

    Option  A
    Solution:
    Quantity of Syrup = 15x

    Quantity of water =6x
    Total = 21x
    Resultant Mixture = 21x – 25.5 + 2.5 + 5 = 21x – 18
    Resultant water = 6x – 25.5 * (6/21) + 2.5 = 6x – 7.28
    Resultant mixture contains 25% water
    (21x – 18)*25/100 = 6x – 7.28
    x = 3.7
    Initial quantity = 21*3.7 = 77.7
  6. Ram covered a distance of 200km  in 10 hrs . The first part of his journey is covered by auto ,then he hired a car  .The speed of the auto and car is  15 km/hr and  30 km /hr resp. Find the ratio of distance covered by auto and car .
    A)  3 : 4
    B)  2 : 1
    C)  1 : 1
    D)  2: 3
    E)  None of these
    View Answer

    Option C
    Solution:
    Speed of the Ram = 200 /10 = 20 km/hrAuto                       Car
    15km/hr              30km/hr.                    20

    10                   :                5
    2                    :                1

    Now ,
    Ratio of  distance covered :
    Auto                  :            Car
    2 * 15                 :             1 *30
    30                   :            30
    1           :                               1

  7. 9 L  are drawn from a cask full of water and it is  then filled with milk , 9 L of mixture are drawn and the cask is again filled with milk .The quantity of water now left in the cask to that of the milk in it is 16 : 9 .How much does the cask hold ?
    A)  30 L
    B)  45 L
    C)  35 L
    D)  50 L
    E)  42 L
    View Answer

    Option B
    Solution:
    16 – > water
    25 – > milk
    => √(16/25) = 4/5
    If 1 -> 9
    then 5 = 45 litres
  8. If  2 kg metal , of which (1/3) is zinc and the rest is copper , be mixed with 3 kg of metal , of which (1/4) is zinc and the rest is copper . What is the ratio of zinc to copper in the mixture ?
    A)  11 : 43
    B)  15 : 37
    C) 17 : 43
    D) 23 : 74
    E)  18 : 52
    View Answer

    Option C
    Solution:
    Quantity of zinc in the mixture = 2 (1/3) + 3 (1/4) = ( 2/3) + (3/4)
    =17/12
    Quantity of copper in the metal =  (3+2) – (17/12) =  43/12
    Therefore , 17 / 12 : 43 /12 = 17 : 43
  9. Vessels  A and B contain mixtures of milk and water  in the ratios 4 : 5 and 5 : 1 resp .In what ratio should quantities of mixture be taken from A and B to form a mixture in which milk to water is in the ratio 5 : 4 ?
    A)  5 : 2
    B)  7 : 5
    C)  6 : 11
    D)  8 : 5
    E)  9 : 4
    View Answer

    Option A
    Solution:
    Quantity of milk in vessel A = 4 / (4+5) = 4/9
    Quantity of milk in vessel B = 5/(5+1) = 5/6
    Quantity of milk in resultant mixture = 5 /( 5+4) = 5/9
    A                                 B

    4/9                              5/6
    .                5/9
    5/18                            1/9
    Required ratio= 5:2
  10. Two barrels conatin a mixture of ethanol and gasoline is 60%  in the first barrel and 30% in the second barrel .In what ratio must the mixtures from the first and the second barrels be taken to form a mixture containing 50% alcohol ?
    A)  3:4
    B)  5:8
    C)  1:2
    D)  5:4
    E)  2 :1
    View Answer

    Option E
    Solution:
    Mix. I                          Mix. II
    3/5                              3/10
    .                  1/2
    1/5                                 1/10
    Required ratio = 2 : 1

 

 

 

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28 Thoughts to “Quantitative Aptitude: Mixture and Alligation Questions Set 7”

  1. _/_

    A shopkeeper sells two types of books national books and international books .He sells national books at Rs. 18 / book and incurs at loss of 10% whereas on selling the international books at Rs. 30 / book ,he gains 20 % .Find the ratio of the national and international books such that he can gain a profit of 25% by selling the combined books at 27.5/ book ?
    A) 5:6
    B) 5:2
    C) 4:5
    D) 2:3
    E) 4:7
    ans :3:2 hona chaiye mod
    check that
    …………..

  2. _/_

    A tank which contains a mixture of syrup and water in ratio 15:6. 25.5 litres of mixture is taken out from the tank and 2.5 litres of pure water and 5 litres of syrup is added to the mixture. If resultant mixture contains 25% water, what was the initial quantity of mixture in the tank before the replacement in litres?
    A) 77.7
    B) 70.78
    C) 75.6
    D) 80.5
    E) 76
    qs wrong hai kya?

  3. _/_

    the income of a trader increases in the ratio of 4:5 in the first year and 5:7 in the second year but reduction in the third year in the ratio 14:15. Find out the ratio of his income in the beginning and at the end

    1. thinker

      Solution plz

      1. thinker

        Third year bhi increase hi show Ho rha h question me .8:15 is answer. Am I right

  4. Jellyfish

    8/10 ty az
    Que 1 ans should be 3:2
    Que 6 alternate method
    X/15+(200-x)/30=10
    X=100
    Ratio of dist 1:1

    1. thinker

      Question 2 ka koi shortcut h kya?

      1. Jellyfish

        Nahi hai Maine waise hi kiya

  5. thinker

    Mam question 5 dusre formule se alg answer show Kr rha .is this question wrong

    1. Oliver Queen

      haan

  6. Oliver Queen

    ma’am que 1 mein 3:2 hona chahie ye 5:2 kaise hua?

    1. Hungry for success

      typo ho gya hoga

    2. cActi?

      Yes..
      Ans. is 3:2

  7. Hungry for success

    A thief has stolen 15 L of beer from a container and replaced with the same quantity of water .He again repeated this process 3 times .Thus the ratio of the beer become 343 :169 .Find the initial amount of beer in the container .
    total 4 time nai hua kya sir/mam
    @subra mam

    1. cActi?

      Three times hoga..

      1. Hungry for success

        again 3 times plus 1 time phle b kiya?=4 times hua na?

  8. Hungry for success

    6th question me 2;1 kya h speed k ratio ya distance ki ratio??
    samj nai aaya .i think distance ki h bki sir plz conform

    1. In the END

      2:1 is time ratio. You have to multiply it by their respective speed to get the distance ratio.

      1. Hungry for success

        Okk thanx bro

  9. jaga

    Niranjan and Prabhat are working in PMO. They are working together and take 9.5 days to finish a project. When Niranjan and Prabhat are working individually to finish half of the same project then the sum of the number of days taken by them individually is 20 days. If Niranjan is more efficient than Prabhat, how long will Prabhat alone take to do the job?

    1. Bishwas Choubey

      yo right

  10. ~lonely~hanker~nitrous oxide~

    A tank which contains a mixture of syrup and water in ratio 15:6. 25.5 litres of mixture is taken out from the tank and 2.5 litres of pure water and 5 litres of syrup is added to the mixture. If resultant mixture contains 25% water, what was the initial quantity of mixture in the tank before the replacement in litres?
    mam dekhna kha galat hai
    15x+5/6x+2.5=3/1
    15x+5==18x+7.5
    3x==2.5 ??
    x===2.5*21/3
    initai;la ===
    2.5*21/3+25.5

  11. ~lonely~hanker~nitrous oxide~

    tq ,mam

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