Mixed Quantitative Aptitude Questions Set 93

Directions(1-5): Find the missing number of the following series.

  1. 5,12,24,36,52,?
    74
    60
    55
    81
    68
    Option E
    +3
    +7
    +13
    +19
    +29
    +37

     

  2. 3,8,27,124,?
    725
    715
    656
    700
    818
    Option A
    +2!
    +3!
    +4!
    +5!
    +6!

     

  3. 16,15,24,-1,48,?
    -18
    -24
    -33
    -15
    -11
    Option C
    -1^2
    +3^2
    -5^2
    +7^2
    -9^2

     

  4. 356,352,368,332,396,?
    Option
    -2^2 +4^2 -6^2 +8^2 -10^2

     

  5. 62,31,?,62,248,1984
    40
    35
    28
    31
    20
    Option D
    62*0.5 =31
    31*1=31
    31*2= 62
    62*4=248
    248*8 = 1984

     

  6. Ram invested a sum of money “P” in a scheme X and received Rs. 250 as interest after a year. He then added Rs. 750 to it, and invested the total amount in the same scheme X for one more year and received Rs. 6300 as total amount. Find the interest obtained if amount P is invested in the scheme Y offering 12% interest rate compounded annually for 2 years.
    Rs. 1272
    Rs. 1700
    Rs. 1550
    Rs. 1000
    Rs. 1525
    Option A
    Let r be the rate of interest.
    P*r%*t = 250 —-(1)
    {(P+250)+750}*r%*1 = 6300 *{(P+250)+750} —-(2)
    P = 5000 or 50
    Take P = 5000
    Required Interest
    = 5000{(1+12/100)^2-1}
    = Rs. 1272

     

  7. A started a business with an investment of Rs. 5500. After 6 months, B joined the business with an investment of Rs.8000. After one year of commencement of business, A received Rs. 71000 as profit. 40% of profit was given to A as incentive for handling the business single handedly and the rest was divided between A and B on the basis of their equivalent investment. Find the total profit of the business.
    Rs. 72000
    Rs. 88000
    Rs. 90000
    Rs. 100000
    Rs. 95000
    Option E
    Let the total profit be x.
    Profit sharing between A and B = [5500*11]/[8000*6] = 11/8
    Now, 40% of x + 11/[11+8]*(100-40)% of x = 7100
    => x = Rs. 95000

     

  8. A vessel contains mixture of milk and water mixed in the ratio 12:5 resp. 85 litres of mixture is taken out of the vessel and replaced with “x” litres of milk such that the ratio of the milk to water in the vessel becomes 19:7.Find the value of “x”, if the difference between the initial quantities of milk and water in the vessel is 84 litres.
    7
    11
    8
    10
    12
    Option B
    Let the initial quatities 12y and 5y of milk and water resp.
    12y-5y = 84 y = 12
    Initial quantities of milk and water are 144 l and 60 l resp.
    Now , [144 – 60 + x]/[60-25] = 19/7
    => x = 11

     

  9. A shopkeeper bought a packet of soap (4 soaps in a packet) with the scheme of “Buy 3 get 1 free” for Rs. 180. If he sells the soap without offer and sells three soaps at the cost price of a packet of soap,find his profit percentage.
    30.13%
    26.34%
    33.33%
    25.52%
    27.27%
    Option C
    Cost price of a soap = 180/4 = 45
    Selling price of a soap = 180/3 = 60
    Profit% = (60-45)/45*100 = 33.33%

     

  10. A train is running at a speed of 56 kmhr. After continuous running for 2 hours 40 minutes, the train stops at a station for 15 minutes. If the train starts from its source point at 8:45 am and reaches the destination point at 1:00 pm with only one stoppage, then find the total distance covered by the train.
    250 km
    177 km
    185km
    224 km
    200 km
    Option D
    Total time taken to reach the destination
    = 4 hour 15 minutes
    Total running time of the train = 4 hours
    Total distance covered by the train = 4*56 = 224 km

     


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