Mixed Quantitative Aptitude Questions Set 165

Banya
  1. Ram takes thrice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is:
    2:5
    5:7
    3:4
    2:1
    2:3
    Option D
    Speed downstream = x kmph
    Speed upstream = 3x kmph
    (3x+x)/2 : (3x-x)/2
    4x/2 : 2x/2 = 2:1

     

  2. Three men, four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
    3
    5
    7
    8
    6
    Option C
    2 men = 1 woman
    1 man =1/2 woman
    3 men =3/2 women
    2 children = 1 man =1/2 woman
    1 child =1/4 woman
    6 children =6/4 =3/2 women
    Now, three men, four women and six children
    =3/2 + 4 +3/2 = (3+8+3)/2 = 14/2 = 7 women

     

  3. Three pipes P, Q and R connected to a Cistern. The first pipe (i.e) P can fill 1/2 part of the tank in one hour, second pipe, Q can fill 1/3 part of the cistern in one hour. R is connected to empty the cistern. After opening all the three pipes 7/12 part of the cistern. Then how much time required to empty the cistern completely?
    3
    5
    7
    4
    6
    Option D
    In 1 hour, P can fill = 1/2 Part
    Time taken to fill the Cistern by Pipe P = 2 hours
    In 1 hour, Q can fill = 1/3 Part
    Time taken to fill the Cistern by Pipe P = 3 hours
    [1/2 + 1/3 – 1/R] = 7/12
    1/R = 1/4
    Time required to empty the Cistern = 4 hours

     

  4. P takes 6 days less than Q to finish the work individually. If P and Q working together complete the work in 4 days, then how many days are required by Q to complete the work alone ?
    1/3
    1/5
    1/6
    1/4
    1/2
    Option D
    Days required by Q to complete the work
    =1/6 + 1/12
    =2+1/12 =3/12 = ¼

     

  5. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
    20
    40
    30
    10
    50
    Option C
    Part filled by both pipes A and B in 1 minute
    =1/60+1/40=1/24
    To fill the tanker from empty state, B is used for x/2 minutes and A and B together is used for the rest x/2 minutes.
    x/2×1/40+x/2×1/24=1
    ⇒x/2(1/40+1/24)=1
    ⇒x/2×8/120=1
    ⇒x/2×1/15=1
    =>x=15×2 =30 minutes

     

  6. In what ratio must the 3 varieties of wheat costing Rs 42, Rs 54 and Rs 65 respectively be mixed so that the resulting mixture is sold for Rs 63.8 at a profit of 10%?
    7:3:11
    9:6:20
    7:3:18
    7:7:20
    7:7:19
    Option D
    SP = 63.8, Profit=10%, so CP = (100/110)*63.8 = 58
    Now 58 is greater than 42 and 54 and less than 65
    So
    42 65
    58
    7 16
    And
    54 65
    58
    7 4
    A : B : C = 7 : 7 : (16+4) = 7:7:20

     

  7. How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?
    10 kg
    20 kg
    15 kg
    22 kg
    27 kg
    Option B
    25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg.
    (x×42)+(25×24)=32(x+25)
    42x+600=32x+800
    10x=200
    x = 20kg

     

  8. A, B, C subscribe Rs. 60,000 for a business, A subscribes Rs.8000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 40,000. Find how much A receives.
    Rs.17,000
    Rs.15,000
    Rs.18,000
    Rs.14,000
    Rs.10,000
    Option C
    Let C = x then B = x + 5000 and A = x + 5000 + 8000 = x + 13000.
    x + x + 5000 + x + 13000 = 60000 <=> 3x = 42000 , x = 14000.
    A : B : C = 27000 : 19000 : 14000 = 27 : 19 : 14
    A’s share = Rs. (40000 * 27/60 ) = Rs.18,000

     

  9. In a business A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs.261300 was their profit how much amount did B receive?
    Rs.122000
    Rs.162000
    Rs.135000
    Rs.120600
    Rs.152000
    Option D
    A:B = 3:2
    B:A = 2:3 = 4:6
    A:C = 2:1= 6:3
    B’s share = 6/13 * 261300
    = Rs.120600

     

  10. A bag contains 2 red caps, 4 blue caps, 3 yellow caps and 5 green caps. If three caps are picked at random, what is the probability that none is green?
    4/15
    3/10
    1/13
    3/13
    3/11
    Option D
    Total caps = 14
    Probability = 5c0 * 9c3/ 14c3 = 3/13

     


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