SSC Quantitative Aptitude Ratio and Proportion Question Bank

done Ratio and Proportion (II) Total Questions - 32

• question_answer1)
  The labourers A, B, C were given a contract of Rs. 750 for doing a certain piece of work. All the three together can finish the work in 8 days. A and C together can do it in 12 days, while A and B together can do it in \[13\frac{1}{3}\] days. The money will be divided in the ratio [SSC CGL Tier II, 2017]
  A)
  4 : 5 : 6 done clear
  B)
  4 : 7 : 5 done clear
  C)
  5 : 7 : 4 done clear
  D)
  5 : 6 : 8 done clear
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• question_answer2)
  In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. The number of girls to be added in the union, so that the number of boys to girls in 6 : 5, is [SSC CGL Tier II, 2017]
  A)
  6 done clear
  B)
  7 done clear
  C)
  12 done clear
  D)
  17 done clear
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• question_answer3)
  Three glasses of equal volume contains acid mixed with water. The ratio of acid and water are 2 : 3, 3 : 4 and 4 : 5, respectively. Contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is [SSC CGL Tier II, 2015]
  A)
  401 : 544 done clear
  B)
  417 : 564 done clear
  C)
  407 : 560 done clear
  D)
  411 : 540 done clear
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• question_answer4)
  A and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs. 12000 and Rs. 10000 monthly respectively, then the difference in their monthly income is [SSC CGL Tier II, 2015]
  A)
  Rs. 46000 done clear
  B)
  Rs. 42000 done clear
  C)
  Rs. 44000 done clear
  D)
  Rs. 52000 done clear
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• question_answer5)
  The monthly incomes of A and B are in the ratio 2 : 3 and their monthly expenses are in the ratio 5 : 9. If each of them saves Rs. 600 per month, then their monthly incomes are
  A)
  Rs. 1500, Rs. 2250 done clear
  B)
  Rs. 1200, Rs. 1800 done clear
  C)
  Rs. 1600, Rs. 2400 done clear
  D)
  Rs. 1400, Rs. 2100 done clear
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• question_answer6)
  If 32 students in a class are females and the ratio of female to male students is 16 : 9, then what percentage of the class is female?
  A)
  32 done clear
  B)
  36 done clear
  C)
  56.25 done clear
  D)
  64 done clear
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• question_answer7)
  Three numbers are in the ratio 2 : 3 : 4. If the sum of their square is 1856, then the numbers are
  A)
  8, 12, 16 done clear
  B)
  16, 24, 32 done clear
  C)
  12, 18, 24 done clear
  D)
  None of these done clear
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• question_answer8)
  Two numbers are in the ratio of 3 : 5. If each number is increased by 10, the ratio becomes 5 : 7. The numbers are
  A)
  3, 5 done clear
  B)
  7, 9 done clear
  C)
  13, 22 done clear
  D)
  15, 25 done clear
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• question_answer9)
  Two numbers are in the ratio \[1\frac{1}{2}:2\frac{2}{3}.\] When each one of these is increased by 15, their ratio becomes \[1\frac{2}{3}:2\frac{1}{2}.\] The larger of the numbers is
  A)
  27 done clear
  B)
  36 done clear
  C)
  48 done clear
  D)
  64 done clear
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• question_answer10)
  What should be subtracted from each of the numbers 54, 71, 75, 99 so that the remainders may be proportional?
  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  6 done clear
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• question_answer11)
  If a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?
  A)
  2 : 1 done clear
  B)
  3 : 1 done clear
  C)
  3 : 2 done clear
  D)
  7 : 5 done clear
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• question_answer12)
  If x runs are scored by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively.
  A)
  144, 96, 64 done clear
  B)
  162, 108, 72 done clear
  C)
  180, 120, 80 done clear
  D)
  189, 126, 84 done clear
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• question_answer13)
  If Rs. 126.5 is divided among A, B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by
  A)
  Rs. 36.50 done clear
  B)
  Rs. 35.50 done clear
  C)
  Rs. 34.50 done clear
  D)
  Rs. 33.50 done clear
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• question_answer14)
  The ratio of incomes of A and B is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs. 2600 and Rs. 1800 respectively, then their incomes are
  A)
  Rs. 9000, Rs. 5400 done clear
  B)
  Rs. 10000, Rs. 6000 done clear
  C)
  Rs. 1000, Rs. 3600 done clear
  D)
  Rs. 8000, Rs. 4800 done clear
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• question_answer15)
  The third proportional of 12 and 18 is
  A)
  3 done clear
  B)
  6 done clear
  C)
  27 done clear
  D)
  144 done clear
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• question_answer16)
  Ram got twice as many marks in English as in Science. His total marks in English, Science and Maths are 180. If the ratio of his marks in English and Maths is 2 : 3, what are his marks in Science?
  A)
  30 done clear
  B)
  60 done clear
  C)
  72 done clear
  D)
  90 done clear
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• question_answer17)
  1 yr ago, the ratio between A's and B's salary was 3 : 4. The ratio of their individual salaries between last and this year was 4 : 5 and 2 : 3, respectively. Now, the total of their salaries is Rs. 41600. A's present salary is
  A)
  Rs. 10400 done clear
  B)
  Rs. 16000 done clear
  C)
  Rs. 25600 done clear
  D)
  Rs. 31200 done clear
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• question_answer18)
  A bag contains Rs. 216 in the form of Rs. 1, 50 paise and 25 paise coins in the ratio of 2 : 3 : 4. The number of 50 paise coins is
  A)
  96 done clear
  B)
  114 done clear
  C)
  141 done clear
  D)
  144 done clear
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• question_answer19)
  From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 times as large as the smaller number. What is the ratio of the numbers?
  A)
  5 : 2 done clear
  B)
  1 : 4 done clear
  C)
  4 : 1 done clear
  D)
  4 : 5 done clear
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• question_answer20)
  Brothers A and B had some savings in the ratio 4 : 5. They decided to buy a gift for their sister, sharing the cost in the ratio 3 : 4. After they bought, A spent two-third of his amount while B is left with Rs. 145. Then, the value of the gift is
  A)
  Rs. 70 done clear
  B)
  Rs. 105 done clear
  C)
  Rs. 140 done clear
  D)
  Rs. 175 done clear
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• question_answer21)
  Men, women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages as 5 : 3 : 2. When 90 men are employed, total daily wages of all amounts to Rs. 10350. Find the daily wage of a man.
  A)
  Rs. 72 done clear
  B)
  Rs. 73 done clear
  C)
  Rs. 74 done clear
  D)
  Rs. 75 done clear
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• question_answer22)
  The marks of 3 students A, B and C are in the ratio 10 : 12 : 15. If the maximum marks of the paper are 100, then the marks of B cannot be in the range of
  A)
  20-30 done clear
  B)
  70-80 done clear
  C)
  40-50 done clear
  D)
  80-90 done clear
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• question_answer23)
  Incomes of A, B and C are in the ratio 7 : 9 : 12 and their expenditures are in the ratio 8 : 9 : 15. If A's saving is \[\frac{1}{4}\]  of his income, then the ratio of savings of A, B and C is
  A)
  56 : 99 : 69 done clear
  B)
  99 : 56 : 69 done clear
  C)
  69 : 56 : 99 done clear
  D)
  99 : 69 : 56 done clear
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• question_answer24)
  The ratio of first and second class train fares between two stations is 3 : 1 and that of the number of passengers travelling between these stations by first and second class is 1 : 50. If on a particular day Rs. 1325 be collected from the passengers travelling between these stations, then the amount collected from second class passengers is
  A)
  Rs. 1250 done clear
  B)
  Rs. 1000 done clear
  C)
  Rs. 850 done clear
  D)
  Rs. 750 done clear
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• question_answer25)
  Rs. 680 is divided among A, B, C such that A gets \[\frac{2}{3}\] of what B gets and B gets \[\frac{1}{4}\] of what C gets. Then, their shares are respectively
  A)
  Rs. 75, Rs. 325, Rs. 280 done clear
  B)
  Rs. 80, Rs. 120, Rs. 480 done clear
  C)
  Rs. 90, Rs. 210, Rs. 380 done clear
  D)
  Rs. 100 Rs. 200, Rs. 380 done clear
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• question_answer26)
  The ratio of the sum of two numbers and their difference is 5 : 1. The ratio of the greater number to the smaller number is
  A)
  2 : 3 done clear
  B)
  3 : 2 done clear
  C)
  5 : 1 done clear
  D)
  1 : 5 done clear
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• question_answer27)
  An employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage was Rs. 18900, find the ratio in which the wage bill is decreased.
  A)
  20 : 21 done clear
  B)
  21 : 20 done clear
  C)
  20 : 19 done clear
  D)
  19 : 21 done clear
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• question_answer28)
  If \[\frac{1}{x}:\frac{1}{y}:\frac{1}{z}=2:3:5,\] then determine\[x:y:z.\]
  A)
  15 : 12 : 8 done clear
  B)
  15 : 10 : 6 done clear
  C)
  18 : 10 : 5 done clear
  D)
  12 : 8 : 9 done clear
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• question_answer29)
  The quantity that must be added to each term of \[a:b,\] so as to make it \[c:d\] is
  A)
  \[\frac{ab-cd}{a-b}\] done clear
  B)
  \[\frac{ac-bd}{a+b}\] done clear
  C)
  \[\frac{ad-bc}{c+d}\] done clear
  D)
  \[\frac{ad-bc}{c-d}\] done clear
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• question_answer30)
  The ratio between two numbers is 3 : 4. If each number is increased by 3, the ratio becomes 4 : 5. Find the difference between the numbers.
  A)
  3 done clear
  B)
  9 done clear
  C)
  2 done clear
  D)
  7 done clear
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• question_answer31)
  From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 times as large as the smaller number. What is the ratio of the number?
  A)
  5 : 2 done clear
  B)
  1 : 4 done clear
  C)
  4 : 1 done clear
  D)
  4 : 5 done clear
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• question_answer32)
  Two numbers are respectively 20% and 50% more than a third number. These two numbers are in the ratio
  A)
  2 : 5 done clear
  B)
  4 : 5 done clear
  C)
  3 : 2 done clear
  D)
  5 : 2 done clear
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