Mixed Quant Questions

  1. The ratio of the milk to water in a mixture is 4 : 3. 21 liter of mixture is taken out and 8 liter of milk and 14 liter of water is added in mixture, so that new ratio of milk to water becomes 320 : 17, then find initial quantity of milk in the mixture ?
    84 liters
    35 liters
    63 liters
    80 liters
    72 liters
    Option A
    Let quantity of milk and water in the mixture = 4x and 3x respectively
    (4x – 21 * 4/7 + 8)/(3x – 21 * 3/7 + 14) = 20/17
    4x – 4/3x + 5 = 20/17
    x = 21
    Initial quantity of milk in the mixture = 4x = 4 * 21 = 84 liters

     

  2. A alone can do 40% of work in 8 days and B alone can do 30% of work in 12 days. If efficiency of C is 50% more than A, then find in how many days A, B and C together will be completed 90% of work ?
    5 days
    8 days
    12 days
    6 days
    4 days
    Option D
    Total days required to complete the work by A = 8/40 * 100 = 20
    total days required to complete the work by B = 12/30 * 100 = 40
    LCM of 20 and 40 = 40
    efficiency of A = 40/20 = 2
    efficiency of B = 40/40 = 1
    efficiency of C = 2 * 150/100 = 3
    days required = 40/6 * 90/100 = 6 days

     

  3. The ratio of present age of A and B is 3 : 4. If the ratio of age of A after 6 years and age of B before 4 years is 6 : 5, then find the age of B after 4 years ?
    42 years
    25 years
    26 years
    28 years
    40 years
    Option D
    Let the present age of A and B = 3x and 4x
    3x + 6/ 4x – 4 = 6/5
    15x + 30 = 24x – 24
    x = 6
    the age of B after 4 years = 4x + 4 = 28 years

     

  4. A man goes from a place A to B at a speed of 12 km/hr and returns from B to A at a speed of 18 km/hr. What is the average speed for the whole journey ?
    12 km/hr
    24 km/hr
    14 km/hr
    14 2/5 km/hr
    15 2/5 km/hr
    Option D
    Average speed = 2xy /x + y
    = 2 * 12 * 18/12 + 18 = 14 2/5 km/hr

     

  5. A boat covers 12 km upstream and 18 km downstream in 3 hours while it covers 36 km upstream and 24 downstream in 6 1/2 hours, what is the speed of stream ?
    5 km/hr
    4 km/hr
    6 km/hr
    2 km/hr
    8 km/hr
    Option D
    12/x – y + 18/x + y = 3
    36/x – y + 24/x + y = 13/2
    let x – y = a, x + y = b
    12/a + 18/b = 3
    36a + 24/b = 13/2
    By multiplying ‘3’ in equation (i)
    36/a + 54/b = 9
    36/a + 24/b = 13/2
    30/b = 9 – 13/2
    b = 12
    36/a + 9/2 = 9
    36/a = 9/2
    a = 8
    x – y = 8
    x + y = 12
    2x = 20
    x = 10
    y = 2

     

  6. Directions : What will come in place of questions marks (?) in the following number series ?
    345, 358, 375, ?, 417, 446
    380
    382
    392
    394
    396
    Option D
    The series is, (+ 13), (+ 17), (+ 19), (+ 23), (+ 29),

     

  7. 5, 11, 35, 143, 719, ?
    4240
    4319
    4465
    4978
    4565
    Option B
    The series is, ( * 2 + 1), ( * 3 + 2), ( * 4 + 3), ( * 5 + 4), ( * 6 + 5),

     

  8. 20, 18, 38, 56, 94, ?
    155
    100
    120
    125
    150
    Option E
    The series is, (20 + 18), (18 + 56), (56 + 94)

     

  9. 35, 40, 55, 80, 115, ?
    145
    180
    160
    172
    165
    Option C
    The series is, (+ 5), (+ 15), (+ 25), (+ 35), (+ 45),

     

  10. 35, 18, 19, 30, ?, 157.5
    64
    62
    58
    96
    86
    Option B
    The series is, ( * 5 + .5), (* 1 + 1), (* 1.5 + 1.5), (* 2 + 2), (* 2.5 + 2.5)

     


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