Quant Test for NIACL AO Prelims Exam Set – 5

Directions(1-5): The pie-chart shows the population distribution of a village among various categories.
The total population of the village = 4350

  1. Find the ratio of difference of people from General category and OBC category to the sum of people from SC and ST category taken together.
    7:12
    17:20
    13:17
    15:11
    11:9
    Option D
    Difference of people from General category and OBC category
    = 2349 – 1044 = 1305
    Sum of people from SC and ST category taken together = 609 + 348 = 957
    Required ratio = 1305:957 = 15:11

     

  2. The ratio of male and female in SC and ST categories is 4:3 and 1:3 resp. Find the total number of females from both categories taken together.
    489
    522
    440
    500
    495
    Option B
    Number of people from SC and ST category = 609 and 348
    Number of females from SC category and ST category = 3/(3+4)*609 = 261 and 3/(1+3)*348 = 261
    Total females from SC and ST category = 261+261 = 522

     

  3. The difference between the people from OBC category and people from ST category is what percentage more or less than the people from SC category?
    14.28%
    13.30%
    11.78%
    12.34%
    10.55%
    Option A
    Number of people from OBC category = 0.24*4350 = 1044
    Number of people from SC category = 0.14*4350 = 609
    Number of people from ST category = 0.08*4350 = 348
    Required% = (1044 – 348)-609/609*100 = 14.28%

     

  4. Find the difference between average of people from General and SC categories taken together and average of people from ST category and OBC category people taken together.
    782
    770
    783
    700
    715
    Option C
    Average of people from General category and SC category taken together
    = (2349+609)/2 = 1479
    Average of people from OBC category and ST category taken together = (1044+348)/2 = 696
    Required difference = 1479 – 696 = 783

     

  5. In an election, two candidates were there. 100/9% of people from General category and 100/3% of people from OBC category didn’t cast their votes and rest all categories cast 100% votes. Winning candidate won by 967 votes. Find the number of votes secured by runner – up candidate.
    1440
    1250
    1300
    1550
    1387
    Option E
    Votes cast by people from General category = (100-100/9)% of 54% of 4350
    = 2088
    Votes cast by people from OBC category = (100-100/3)% of 24% of 4350 = 696
    Votes cast by people from SC category = 0.14*4350 = 609
    Votes cast by people from ST category = 0.08*4350 = 348
    Let the number of votes won by runner-up candidate be x.
    x+x+967 = 3741
    => x = 1387

     

  6. Directions(6-10): What will be the approximate value in place of question mark “?” in the following questions.

  7. (1935.98)^1/2 * 25 + 1/23.99*5.99 * 37.5% of 1023.99 = ? * 35.98% of 11.11
    222
    250
    200
    299
    280
    Option D
    (1935.98)^1/2 * 25 + 1/23.99*5.99 * 37.5% of 1023.99 = ? * 35.98% of 11.11
    => ? * 11.11% * 36 = (1935.98)^1/2 * 25 + 1/24 * 6*3/8 * 1024
    => ? * 4 = 44*25 + 96
    => ? * 4 = 1100 + 24
    => ? = 299

     

  8. 74.98% of 639.74 + 35.97% + 749.99 = ?^2 * 29.99
    6
    4
    3
    5
    2
    Option D
    74.98% of 639.74 + 35.97% + 749.99 = ?^2 * 29.99
    => ?^2 * 30 = 75% * 640 + 36% of 750
    => ?^2 * 30 = 750
    => ? = 5

     

  9. 85% of 4540 + 36^2 = ?^2 – 11877 / 37
    74
    70
    66
    60
    71
    Option A
    85% of 4540 + 36^2 = ?^2 – 11877 / 37
    => ?^2 – 321 = 0.85* 4540 +1296
    => ?^2 = 3859 + 1296 + 321
    => ? = 74

     

  10. ((3136)^1/2 + 2048 / 32)% of 10.8% of 10000 = ?% of 2400
    42
    50
    38
    40
    54
    Option E
    ((3136)^1/2 + 2048 / 32)% of 10.8% of 10000 = ?% of 2400
    => ?% of 2400 = (56+64)% of 1080
    => ? = 1296/24
    => ? = 54

     

  11. 511.98/7.99^2 * 14.97 = ?^2 – 50.99% of 399.89
    11
    16
    18
    10
    14
    Option C
    511.98/7.99^2 * 14.97 = ?^2 – 50.99% of 399.89
    => ?^2 – 51% * 400 = 512 / 8^2 *15
    => ?^2 = 120 + 204
    => ? = 18

     


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