Quantitative Aptitude: Data Interpretation Questions Set 144

Directions (1-5): Study the following information carefully and answer the questions that follow:

Monthly salary of three workers P, Q and R in the ratio of 4: 6: 5. S’s monthly salary is 33.33% more than the R’s monthly salary.T’s spends is half of the S’s monthly salary which is five times the monthly savings of T. P and Q saves same amount in monthly which is 50% of the amount saved by S in monthly. S saves 3/2nd of the amount saves by T in monthly. T’s monthly salary is equal to the S’s monthly spends.R’s monthly spends is two times of the amount saves by him. Q invests his monthly savings in two different plans A and B in the ratio of 2: 1. Plan A offers 10% simple interest for two years and plan B offers 20% compound interest for two years compounded annually. Total interest obtained by Q in both the plans together is Rs. 1680.

  1. What is the ratio of R’s monthly spends to that of Q’s monthly spends?

    2: 1
    2: 5
    2: 9
    2: 3
    2: 7
    Option D
    Let us take Q saves Rs. 3x amount
    by question,
    (2x * 10 * 2)/100 + (x * 44)/100 = 1680
    40x/100 + 44x/100 = 1680
    84x/100 = 1680
    = > x = 1680 * (84/100) = Rs.2000
    Q saves monthly Rs.6000
    P’s monthly savings = Q’s monthly savings = 50% of S’s monthly savings
    P‘s monthly savings = Rs.6000
    Q’s monthly savings = Rs.6000
    S’s monthly savings = 6000 * (100/50) = Rs.12000
    T’s monthly savings = 2/3rd of S’s monthly savings = 12000 * 2/3 = Rs.8000
    S’s monthly salary = 5 * T’s monthly savings = 5 * 8000 = Rs.40000
    T’s monthly spends = ½ * S’s monthly salary = 40000 * ½ = Rs.20000
    S’s monthly spends = 40000 – 12000 = Rs.28000
    T’s monthly salary = S’s monthly spends = Rs.28000
    S’s monthly salary = (100 + 33.33)% of R’s monthly salary
    40000 = (100 + 100/3)% of R’s monthly salary
    40000 = 400/300 * R’s monthly salary
    40000 * (3/4) = R’s monthly salary
    R’s monthly salary = Rs.30000
    Ratio of R’s spends to savings = 2: 1
    R’s monthly spends = 30000 * (2/3) = Rs.20000
    R’s monthly savings = 30000 * (1/3) = Rs.10000
    P’s monthly salary = 30000 * (4/5) = Rs.24000
    Q’s monthly salary = 30000 * (6/5) = Rs.36000
    Q’s monthly spends = 36000 – 6000 = Rs.30000
    Q’s monthly salary = 200% of P’s monthly spends
    36000 = 2 * P’s monthly spends
    P’s monthly spends = 36000/2 = Rs.18000
    Required ratio = 20000: 30000 = 2: 3

     

  2. P and R invested their monthly savings in a business. After 6 months, S also joined with his monthly savings in the business. Find the share of P if the total profit at the end of the year is Rs.18700?
    Rs.5390
    Rs.6700
    Rs.5800
    Rs.3400
    Rs.5100
    Option E
    Profit ratio of P, Q and R = (6000 * 12): (10000 * 12): (12000 * 6)
    = 72: 120: 72
    = 3: 5: 3
    P’s share = 18700 * (3/11) = Rs.5100

     

  3. P and Q’s monthly salary is what percentage of the T’s monthly spends?
    100%
    300%
    200%
    350%
    50%
    Option B
    Required percentage = (24000 + 36000)/20000 * 100
    = 60000/20000 * 100
    = 300%

     

  4. What is the difference between the R, S and T’s monthly salary together and P, Q and S’s monthly spends?
    Rs.32000
    Rs.20000
    Rs.42000
    Rs.12000
    Rs.22000
    Option E
    Required difference = (30000 + 40000 + 28000) – (18000 + 30000 + 28000)
    = Rs.22000

     

  5. Who among the following person has maximum savings percentage?
    p
    Q
    R
    S
    T
    Option C
    P’s savings percentage = 6000/24000 * 100 = 25%
    Q’s savings percentage = 6000/36000 * 100 = 16.67%
    ’s savings percentage = 10000/30000 * 100 = 33.33%
    S’s savings percentage = 12000/40000 * 100 = 30%
    T’s savings percentage = 8000/28000 * 100 = 28.57%
    R has maximum savings percentage.

     

  6. Directions (6-10): Study the following bar graph and answer the questions that follows:
    The following line graph shows the total weight loss by two persons on 5 different days of a week by exercise in a certain month.

  7. Find the difference between the average number of weights loss by P to that of Q on all the given days together.
    15
    16
    17
    18
    19
    Option D
    The average number of weights loss by P on all the given days together
    = > (120 + 80 + 180 + 150 + 220) / 5 = 150
    The average number of weights loss by Q on all the given days together
    = > (170 + 120 + 90 + 200 + 260) / 5 = 168
    Required difference = 168 – 150 = 18

     

  8. Find the difference between total weights loss by P on Monday and Friday together to that of total weights loss by Q on Tuesday and Thursday together.
    20
    30
    24
    17
    19
    Option A
    The total weights loss by P on Monday and Friday together
    = >120 + 220 = 340
    The total weights loss by Q on Tuesday and Thursday together
    = >120 + 200 = 320
    Required difference = 340 – 320 = 20

     

  9. If the average number of weights loss by P and Q from Monday to Saturday is 160 and 168 respectively, then find the total number of weights loss by P and Q on Saturday.
    234
    378
    267
    438
    213
    Option B
    The number of weights loss by P on Saturday
    = > (160 * 6) – (120 + 80 + 180 + 150 + 220)
    = >960 – 750 = 210
    The number of weights loss by Q on Saturday
    = > (168 * 6) – (170 + 120 + 90 + 200 + 260)
    = > 1008 – 840 = 168
    The total number of weights loss by P and Q on Saturday
    = >210 + 168 = 378

     

  10. Total weights loss by both of them together on Tuesday is approximately what percentage of total weights loss by both of them together on Thursday?
    37
    47
    57
    67
    68
    Option C
    Total weights loss by both of them together on Tuesday
    = > 80 + 120 = 200
    Total weights loss by both of them together on Thursday
    = > 150 + 200 = 350
    Required % = (200 / 350) * 100 = 57.14 % = 57 %

     

  11. The average marks of English of a class of 40 students is 36. If the marks of three students were told wrong as 48, 52 and 56 of the actual marks 58, 66 and 72 respectively, then what would be the correct average?
    33
    34
    35
    36
    37
    Option E
    The average marks of English of a class of 40 students = 36
    Total marks = 40 * 36 = 1440
    Correct average = [1440 – (48 + 52 + 56) + (58 + 66 + 72)] / 40
    = > [1440 – 156 + 196] / 40
    = > 1480 / 40 = 37

     

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