Mixed Quantitative Aptitude Questions Set 215

  1. Difference between circumference and diameter of a circle is 60 cm. What will be volume of cylinder, whose height is 14 cm more than that of radius of circle and radius of cylinder is 10 cm ?
    8400
    8500
    8800
    9800
    9200
    Option C
    ATQ, 2πr-2r=60
    2r=28
    r=14
    height of cylinder =14+14=28 cm
    radius=10 cm
    volume of cylinder=πr^2h=22/7*10^2*28=8800 cm^3

     

  2. A bag contains 5 oranges, 4 apples and 6 mangoes. 4 fruits are drawn randomly, then find probability of getting all fruits are of mangoes.
    2/91
    1/91
    13/95
    5/96
    6/95
    Option B
    required no. of outcome=6C4
    total no. of outcome=15C4
    probability=(6C4)/15C4
    =6*5*4*3/15*14*13*12= 1/91

     

  3. A man brought two articles for rs.1200. He sold one article at a profit of 20% and another article at a loss of 20%. If the selling price of both the articles is equal, then find the cost price of article which is sold at a loss of 20%.
    720
    800
    600
    550
    780
    Option A
    total CP of two article=1200
    CP of one article=x
    CP of another article=1200-x
    x*120/100=(1200-x)80/100
    6x/5=4800-4x/5
    x=480
    CP of article which is sold at a loss of 20%=1200-480=720

     

  4. The ratio of the present ages of A and B is 4:3. 4 years hence the age of A will be 20% more than the age of B 6 years hence. Find the difference of their present ages.
    10
    15
    16
    8
    no of these
    Option D
    let the present age of A and B be 4x and 3x respectively
    4x+4=(3x+6)6/5
    4x+4=18x+36/5
    20x+20=18x+36
    2x=16
    x=8
    A’s present age=32
    B’s present age=24
    difference=32-24=8 years

     

  5. A,B and C alone can complete the work in 16:24:32 days respectively. All of them started working together but after 2 days A left the job and 7 days before the completion of the work B also left the job. In how many days the work is completed ?
    20
    15
    25
    16
    18
    Option D
    LCM of 16,24 and 32=96
    A’s efficiency=96/6=16
    B’s efficiency=96/24=4
    C’s efficiency=96/32=3
    all work together for 2 days=13*2=26 work
    remaining work=96-26=70
    C alone work for 7 days=7*3=21 work
    remaining work done by B and C together=49/7=7 days
    total time required=2+7+7=16 days

     

  6. A train crosses a bridge and a platform of length 650m and 800m in 20 sec and 30 sec respectively. Find the speed of the train(in km/hr).
    300 km/hr
    280 km/hr
    200 km/hr
    180 km//hr
    240 km/hr
    Option D
    let the length of train=x
    x+650/20=x+800/30
    3x+1950=2x+1600
    x=350
    speed of train=350+650/20=50 m/sec
    speed of train (in km/hr)=50*18/5=180 km/hr

     

  7. A,B and C enter into a partnership by investing in the ratio of 3:4:5. After 1 year, B invests another 15000 and C at the end of 2 years also invest 10000. At the end of 3 years profit are shared in the ratio of 3:5:7.. Find initial investment of C.
    60000
    50000
    65000
    70000
    80000
    Option B
    let A,B and C invest be 3x, 4x and 5x respectively
    A’s total investment=3x*3=9x
    B’s total investment=(4x*1)+(4x+15000)*2=12x+30000
    C’s total investment=(5x*2)+(5x+10000)*1=15x+10000
    9x/12x+30000=3/5
    45x=36x+90000
    9x=90000
    x=10000
    C’s initially invested=5*10000=50000

     

  8. Difference between SI and CI in certain amount of principal is rs.60. If the rate of interest is 20% in both cases, then find the SI after 3 years in same rate of interest.
    850
    600
    900
    1200
    950
    Option C
    ATQ, 60=PR^2//100^2
    60=P*400/1000
    P=1500
    SI after 3 years=1500*20/100*3=900

     

  9. In a vessel milk and water are in the ratio of 5:3. If 48 liter of mixture is taken out from the vessel and 30 liter of water is added, then new ratio of milk and water becomes 4:3. Find the initial quantity of mixture in vessel.
    368
    280
    365
    440
    320
    Option A
    let the milk and water be 5x and 3x
    (5x-30)/3x-18+30=4/3
    15x-90=12x-48
    3x=138
    x=46
    total quantity of mixture=8x=8*46=368

     

  10. The income of A and B is in the ratio of 3:2 and their expenditure in the ratio of 4:3. If each of them save rs.4000, then find income of A ?
    9000
    8400
    9500
    6500
    7000
    Option B
    let the income of A and B be 3x and 2x respectively
    3x-4000/2x-4000=7/3
    9x-12000=14x-2800
    5x=14000
    x=2800
    income of A=2800*3=8400

     

 

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