Ratio and Proportions Questions and answers

  1. Aptitude
    1. Compound interest
    2. Boat and Stream
    3. Trains
    4. Percentage
    5. Discount
    6. Mixture and Allegation
    7. Unitary Method
    8. Work and Wages
    9. Pipes and Cisterns
    10. Linear Equations
    11. Approximation
    12. Word problems
    13. Number System
    14. Time and Distance
    15. Average
    16. Ratio and Proportions
    17. Profit and Loss
    18. Partnership
    19. Permutation and combination
    20. Probability
    21. Problem on ages
    22. Time and work
    23. Simple and compound interest
    24. Mensuration
    25. Number series
71). The army of two countries A and B number 125,000 and 160,000 men respectively. Each of them get an additional 10,000 recruits into their armies. Which country has had a higher proportionate increase in its military strength?
A). Country 'B'
B). Country 'A'
C). None
D). Not distinguishable
72). A, B and C work in a company. The ratio of A's age to B's age is 4 : 3 and B's age to C's age is 4 : 3. If the sum of the ages of A, B and C is 129.5, what are their respective ages?
A). 40, 30 and 22.5 years
B). 24, 18 and 13.5 years
C). 56, 42 and 31.5 years
D). 72, 64 and 40.5 years
73). In an examination, a candidate scored marks in each of the five subjects in the ratio 4 : 5 : 6 : 7 : 8 and got an aggregate of 72%. In order to pass, if a candidate has to score 50% of the maximum marks in each subject and the maximum marks for all of the subjects are the same, then in how many subjects did the candidate fail?
A). Four subjets.
B). Three subjects.
C). Two subjects.
D). One subject.
74). Total expenses on travel, lodging and boarding spent by a family during a summer vacation was Rs.2500. If Rs.30. Rs.55 and Rs.15 were deducted from the amounts spent on travel, lodging and boarding respectively, then the ratio of the expenses on these heads would be 12 : 17 : 11 respectively. How much was spent on travel, lodging and boarding during the summer vacation?
A). Rs.750, Rs.1075 and Rs.675
B). Rs.630, Rs.905 and Rs.565
C). Rs.510, Rs.735 and Rs.455
D). Rs.390, Rs.565 and Rs.345
75). Martin, Michael, Lawrence and Joseph bought a used car for Rs.6000. Martin paid one half of the sum of the amount paid by the other boys, Michael paid one third of the sum of the amount paid by the other boys; and Lawrence paid one fourth of the sum of the amount paid by the other boys. How much did Joseph pay?
A). Rs.2000
B). Rs.1300
C). Rs.1500
D). Rs.2600


76). Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did each of them get?
A). Rs.90, Rs.60 and Rs.120
B). Rs.144, Rs.96 and Rs.192
C). Rs.150, Rs.100 and Rs.200
D). Rs.120, Rs.80 and Rs.160
77). The expenses of a dormitory are partly fixed and partly variable. It costs Rs.12 per head per day if there are 20 students and Rs.11 per head per day if there are 25 students. What will be the cost per head per day if the number of students increases to 40?
A). Rs.12
B). Rs.10
C). Rs.9.5
D). Rs.8
78). A, B and C share Rs.315 in such a way that for every Rs.2 that A gets, B gets :55 and for every 54 that B gets, C gets 57. How much does C get?
A). Rs.378
B). Rs.441
C). Rs.252
D). Rs.175
79). As part of a restructuring exercise, a company reduced its work force by 30%. However, to motivate the remaining employees, a wage hike was given. The wages, on an average. increased in the ratio of 25 : 28. If the present wage bill per month is Rs.4,90,000 what was the wage bill prior to the downsizing followed by the rise?
A). Rs.6,25,000
B). Rs.64,00,000
C). Rs.48,00,750
D). Rs.36,36,000
80). A besieged army camp had food for 2400 men for 18 days at 3.5 kgs a soldier a day. However, if they reckon that it will take 42 days for external support to rescue them, what proportion of the soldiers will go hungry everyday if they decide to cut down the ration to 1.8kgs a day per soldier.
A). 1 out of every 8 soldiers will go hungry each day.
B). 1 out of every 6 soldiers will go hungry each day.
C). 1 out of every 10 soldiers will go hungry each day.
D). 1 out of every 9 soldiers will go hungry each day.
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