Mixed Quantitative Aptitude Questions Set 71

  1. A’s monthly income is two times B’s monthly income. B’s monthly income is 20% more than C’s monthly income. C’s monthly income is Rs. 25,000. What is A’s monthly income?
    Rs55000
    Rs45000
    Rs60000
    Rs40000
    None
    Option C
    A’s Monthly income=25000*120/100*2
    =Rs60000.

     

  2. Present ages of P and Q are in the ratio 5: 6 respectively. 8 years hence the ratio becomes 7 : 8. What is the sum of the present ages of P and Q?
    44yrs
    32yrs
    40yrs
    36yrs
    None
    Option A
    Let the ratio be 5x and 6x
    (5x+8) / (6x+8) =7/8
    x=4
    Their ages 20 and 24
    Sum=20+24=44yrs.

     

  3. A mixture of milk and water contains 10% water. What quantity of pure milk should be added to 24 liters of mixture to reduce water to 4%?
    29liters
    36liters
    32liters
    25liters
    None
    Option B
    Quantity of pure milk=[24*(10-4)] / 4
    =(24*6) /4
    =36liters.

     

  4. The daily work of 2 men is equal to that of 3 women or that of 4 youngsters. By employing 14 men, 12 women, and 12 youngsters a certain work can be finished in 24 days. If it is required to finish it in 14 days and as an additional labour, only men are available, how many of them will be required?
    25
    22
    15
    20
    None
    Option D
    Here 2M=3W=4Y
    2M=3W➔ W=2/3M
    2M=4Y➔Y=1/2M
    Then 14M+12W+12Y= 14M+ 12*2/3M + 12* 1/2M
    =28M.
    (28*24) /1 = (14*x)/1
    x=48
    Additional Men =48-28=20.

     

  5. Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If they are turned on alternately for one hour each starting with A, then what is the time taken to fill the tank?
    13 1/4hrs
    14hrs
    12 2/3hrs
    15hrs
    None
    Option A
    12——5
    ——— LCM60
    15——4
    In 2hrs 9unit filled
    Then in 12hrs 54unit filled.
    In Remaining 5unit filled by A
    And 1more unit filled by B in 1/4hrs
    Total 12+1+1/4=13 1/4hrs.

     

  6. The ratio between area of a rectangular field and area of a square field is 3 : 2. If the area of rectangular field is equal to 216 sq.metre, what is the perimeter of the square field ?
    54m
    45m
    48m
    52m
    None
    Option C
    Ratio 3:2
    3—–216
    2——? ➔144
    Area of a square a2=144
    a=12
    Perimeter=4a=4*12=48m.

     

  7. Three persons P, Q and R started a business by investing their capitals in the ratio of 6 : 5 : 2. After 6 months, P and R invested half more of their initial capital amount . After a year, the total profit was Rs. 18,360. Find the share of Q in the profit.
    Rs4510
    Rs6120
    Rs5325
    Rs5645
    None
    Option B

    Ratio (6*6 + 9*6) : (5*12) : (2*6 + 3*6)
    =(36+54) : 60 : (12+18)
    =90:60:30➔ 3:2:1
    6(3+2+1)—18360
    2————–? ➔ Rs 6120.

     

  8. A gave a sum of 5000 at simple rate of interest of 10% to B for 5 years and B gave this amount to C at the rate of 13% for 5 years. Find how much extra amount did B get after 5 years ?
    Rs720
    Rs580
    Rs600
    Rs750
    None
    Option D
    B get
    =(5000*13*5)/100 – (5000*10*5)/100
    =50*15
    =Rs750.

     

  9. Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it?
    38days
    54days
    44days
    56days
    None
    Option B
    (4M + 3W)*6 = (5M + 6W)*4
    4M = 6W or 2M = 3W
    4M + 3W = 6W + 3W = 9W
    (9W*6)/1 =(1W*x)/1
    =54 days.

     

  10. There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 492, what is the smallest odd number?
    45
    39
    37
    43
    None
    Option C

    Five consecutive odd numbers = x , x+2, x +4 , x+6 and x +8
    Now ,
    [(x+6+x+8) /2]2 – [(x+x+2)/2]2 = 492
    x= 444/12 = 37
    Smallest odd number = 37.

     


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