Mixed Quantitative Aptitude Questions Set 221

  1. The number of boys in a class are x and the number of girls are 4 less than the number of boys. The sum of weight of boys is 630 and the average weight of boys is 45 kg. If 2 students are selected for a exam then what will be the probability that the number of boys the numbers of girls are equal ?
    4/9
    35/69
    82/265
    36/129
    1/5
    Option B
    Total number of boys = x
    number of girls = x – 4
    the number of boys = 630/45 = 14
    the number of girls = 14 – 4 = 10
    probability = 14C1 * 10C1 / 24C2
    = 14 * 10 * 2/24 * 23 = 35/69

     

  2. Difference between CI received in first 1.5 years at 20% per annum compounded annually and CI received in last 1.5 years at same rate of interest in compounded half yearly on the same sum is rs.495, then find the sum ?
    32000
    48000
    30000
    52000
    45000
    Option E
    Let sum = 100x
    total rate of in 1st 1.5 years = 20 + 10 + 20 * 10 /100 = 32%
    CI received = 100x * 32/100 = 32x
    CI received in last 1.5 years = 100x * 1.1 * 1.1 * 1.1 – 100x = 33.1x
    difference = 33.1x – 32x = 495
    1.1x = 495
    x = 450
    sum = 100x = 100* 450 = 45000

     

  3. X and Z alone can do a piece of work in 25 days and 30 days respectively, while Y takes as half time as X and Z take together. If they start working alternatively starting by Y, followed X and Z respectively, then find in how many days work will be completed ?
    5 8/17 days
    12 9/11 days
    8 2/5 days
    6 3/5 days
    26 3/8 days
    Option B
    LCM of 25 and 30 = 150
    efficiency of X = 150/25 = 6
    efficiency of Z = 150/30 = 5
    efficiency of Y = 22
    when all three works alternatively
    3 days work = 22 + 6 + 5 == 33 work
    in total 12 days = 12/3 * 33 = 132 work
    remaining work = 150 – 132 = 18
    remaining work completed by Y = 18/22 = 9/11 day
    total days = 12 9/11 days

     

  4. A boat takes total 10 hours to cover the distance of 84 km in upstream and 84 km in downstream. If the speed of boat is increased by 12km/hr, then the new upstream speed is doubled of its usual speed. Find the time taken by boat to cover 140 km in downstream.
    5
    8
    2
    6.5
    2.5
    Option A
    Let speed of boat = x km/hr
    speed of stream = y km/hr
    downstream speed = x + y
    upstream speed = x – y
    new speed of boat = x + 12
    upstream speed = x + 12 – y
    2 (x – y ) = x + 12 – y
    x – y = 12
    upstream speed = 12
    time taken by boat to cover 84 km in upstream 84/12 = 7
    time taken by boat in downstream = 10 – 7 = 3
    downstream speed = 84/3 = 28 km
    time taken by boat to cover 140 km in downstream = 140/28 = 5 hours

     

  5. A and B started a partnership business with investment (x + 500) and (x – 1000) respectively. After 6 months a withdrew 40% of his amount. If profit received by A at the end of the year is 2800 out of the total profit rs.4800, then what is the value of ‘x’ ?
    4000
    2000
    1500
    3000
    5600
    Option D
    Investment of A = (x + 500)* 6 + ( x + 500)* .6 * 6 = 6(1.6x + 800)
    investment of B = (x – 1000) * 12
    profit of A = 2800
    profit B = 4800 – 2800 = 2000
    6( 1.6x + 800)/(x – 1000)12 = 2800/2000
    8x + 4000 = 14x – 14000
    x = 3000

     

  6. I. 2x^2 – 13x + 15 = 0
    II. y^2 – 6y + 8 = 0
    X > Y
    X < Y
    X ≤ Y
    X ≥ Y
    X = Y or no relation.
    Option E
    I. 2x^2 – 10x – 3x + 15 = 0
    2x = 10, 3
    x = 5 , 1.5
    II. y^2 – 4y – 2y + 8 = 0
    y = 4, 2

     

  7. I. x^2 – 27x + 92 = 0
    II. y^2 – 17y + 60 = 0
    X > Y
    X < Y
    X ≤ Y
    X ≥ Y
    X = Y or no relation.
    Option E
    I. x^2 – 23x – 4x + 92 = 0
    x = 23, 4
    II. y^2 – 12y – 5y + 60 = 0
    y = 12 , 5

     

  8. I. x^2 = 196
    II. y^3 = 4096
    X > Y
    X < Y
    X ≤ Y
    X ≥ Y
    X = Y or no relation.
    Option B
    I. x^2 = 196
    x = 14, -14
    II. y^3 = 4096
    y = 16

     

  9. I. 5x^2 – 7x + 2 = 0
    II. y^2 + 12y + 32 = 0
    X > Y
    X < Y
    X ≤ Y
    X ≥ Y
    X = Y or no relation.
    Option A
    I. 5x^2 – 5x – 2x + 2 = 0
    5x = 5, 2
    x = 1, .4
    II. y^2 + 8y + 4y + 32 = 0
    y = -8, -4

     

  10. I. 3x^2 – 19x + 20 = 0
    II. 4y^2 – 6y + 2 = 0
    X > Y
    X < Y
    X ≤ Y
    X ≥ Y
    X = Y or no relation.
    Option A
    I. 3x^2 – 15x – 4x + 20 = 0
    3x = 15, 4
    x = 5, 1.33
    II. 4y^2 – 4y – 2y + 2 = 0
    4y = 4, 2
    y = 1. .5

     

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  102. Heya are using WordPress for your blog platform? I’m new to the blog world but I’m trying to get started and set up my own. Do you need any html coding knowledge to make your own blog? Any help would be greatly appreciated!

  103. Valuable information. Lucky me I found your website by accident, and I am shocked why this accident didn’t happened earlier! I bookmarked it.

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