Quantitative Aptitude: Simplification Questions Set 83

  1. An admission of a school has increased in every academic year by 6%. If the number of students in the previous academic year is 2500, then what is the number of students in the next year?
    5690
    2916
    1456
    3456
    1146
    Option B
    8% of 2500 = 8/100 x2500 = 200
    Total no., of students in the current year = 2500 + 200 = 2700
    8% of 2700= 216
    So number of students in the next year = 2700 + 216 = 2916

     

  2. 5 1/8 – 2 1/16 – 1 1/ 16 – 1 1/ 8 = x + 2 1/8.Find the value of x?
    -11/67
    -12/89
    -34/56
    -66/90
    -29/16
    Option E
    Take 1/8 as common ,
    Then 1/8 ( 5 – 2/2 – ½ -1) = x + 2 1/8
    1/8 ( 5 -1 -1/2 -1) = x + 2 1/8
    1/8 ( 5-2-1/2) = x + 17 /8
    1/8 ( 5 /2) = x + 17 /8
    5/16 = x + 17/8
     X = – 29/16

     

  3. A shoots the balloons 6 times to B is 4 but A blasts only once in 2 shots while B blasts once in 3 shots. When B has missed 28 times, A has blasted :
    56
    67
    78
    63
    61
    Option D
    Let the no of shots be x. Then,
    Shots fired by A =(6/10)x
    Shots fired by B = (4/10)x
    blasting shots by A = 1/2 of (6/10)x = (6/20)x
    Shots missed by B = 1/3 of (4/10)x = (4/30)x
    (4/30)x = 28 ⇒ x = 210
    Balloons blasts by A = (6/20)x = 6 / 20 x 210 =63

     

  4. In a group of lions and rabbits, the number of legs are 30 more than twice the number of heads. What is the number of lions in the group ?
    10
    13
    14
    15
    17
    Option D
    Let the number of lions be x and number of rabbits be y.
    Then 4x + 2y = 2(x + y) + 30
    => 2 x = 30
    => x = 15

     

  5. A tank is 3/5 full. If 28 litres of water is added to the tank, it becomes 5/6 full. The capacity of the tank is:
    110
    120
    130
    140
    150
    Option B
    Let the capacity of the tank be x litres.
    Then, (5x/6 – 3x/5) = 28
    => 25x – 18x / 30
    = > 7x / 30 = 28
    => 7x = 840
    => x = 120

     

  6. 13.928 % of 210 + 43.0851 % of 350 + 71.428% of 140 = ?

    340
    450
    280
    600
    320
    Option C
    1/7 * 210 + 3/7 * 350 + 5/7 * 140 = ?

    30 + 150 + 100 = ?

    280 = ?

     

  7. 23.002 * ? + 117.002 = 672.123– 232.23

    170
    180
    190
    200
    210
    Option B
    23 * ? + 117 = 672 – 232

    23 * ? + 117 = 4489 – 232

    ? * 23 = 4140

    ? = 180

     

  8. (21.23 ÷ 797.90) * (49 ÷ 735) * ? = 10

    4700
    5700
    6700
    8700
    9700
    Option B
    (21 ÷ 798) * (49 ÷ 735) * ? = 10

    1/38 * 1/15 * ? = 10

    ? = 5700

     

  9. 300.078 = 23.003 × 256.189 ÷ 8.11 – ? – 159.75

    117
    456
    276
    231
    876
    Option C

    300 = 23 * (256/8) – x – 160

    x = 736 – 160 – 300 = 276

     

  10. (4.99/8.92) of 180.181 × 60.12 ÷ 14.93 – ? = 122

    167
    178
    267
    278
    567
    Option D
    (5/9) * 180 * (60/15) – 122 = x

    x = 400 – 122 = 278

     

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