Mixed Quantitative Aptitude Questions Set 223

  1. Train A leaves kolkata at 8am and is travelling at a speed of 70 km/hr, 4 hours later another train B leaves kolkata and is travelling in same direction as train A in how many time (in minutes) train B will be 25 km ahead train A, if speed of train B is 100 km/hr ?
    475 minutes
    610 minutes
    340 minutes
    620 minutes
    368 minutes
    Option B
    Distance covered by train A in 4 hours = 70 * 4 = 280 km
    total distance should be covered by train B from kolkata for ahead 25 km to train A
    required time = 280 + 25/100-70 = 305/30 * 60 = 610 minutes

     

  2. In a box there are 3 red balls, 7 white balls and 5 orange balls. If one bottle is drawn at random from the cartoon what is the probability that it is either red balls or white balls ?
    2/7
    8/9
    3/4
    5/7
    2/3
    Option E
    probability = (3C1) + (7C1)/15C1 = (3 + 7)/15 = 2/3

     

  3. Two persons A and B alone can do a piece of work in 10 days and 12 days respectively. A and B together worked for 4 days and remaining worked by C alone. If efficiency of C is 20% less than the efficiency of B then find in how many days total work will be completed ?
    5 days
    8 days
    7 days
    12 days
    6 days
    Option B
    LCM of 10 and 12 = 60
    efficiency of A = 60/10 = 6
    efficiency of B = 60/12 = 5
    work completed by A and B together in 4 days = (6 + 5)* 4 = 44 work
    remaining work = 60 – 44 = 16 work
    efficiency of C = 5 * 80/100 = 4
    time required to complete the work = 16/4 = 4 work
    total time to complete the work = 4 + 4 = 8 days

     

  4. a and B invested rs.2500 and rs.3100 in a business respectively. After 6 months A left the business and C joined with a capital of rs.2200. At the end of 1.5 years the profit received by A and B together is how much percent more or less than that by C ?
    125 3/8%
    140 10/11%
    48 3/5%
    152 3/7%
    215 3/8%
    Option B
    Profit sharing ratio of A , B and C = (2500 * 1.5) : (3100 * .5) : (2200 * 1) = 75 : 31 : 44
    more % = (75 + 31) – 44/44 * 100 = 140 10/11%

     

  5. Sudha is travelling from point A to B which is 560 km apart with a certain speed. While returning he covers half the distance with 30% less speed than the usual speed and cover the remaining distance with a speed of 140 km/hr. If time taken in both cases is equal, then find the speed of Sudha while going from point A to B ?
    75 km/hr
    80 km/hr
    72 km/hr
    84 km/hr
    108 km/hr
    Option B
    Let speed of Sudha while travelling from point A to point B = 10x km/hr
    time taken by Sudha while travelling from A to B = 560/10x
    time taken by Sudha while returning = 280/7x + 280/140
    560/10x = 280/7x + 2
    56/x – 40/x = 2
    x = 8
    speed of Sudha = 10 * 8 = 80 km/hr

     

  6. Directions : What will come in place of questions (?) marks in the following questions below ?
    (15)^2 – (18)^2 + 312 = ? + 47
    319
    120
    184
    133
    166
    Option E
    225 – 324 + 312 = ? + 47
    – 99 + 312 = ? + 47
    ? = 166

     

  7. ∛1331 + 38% of 1200 – ? = 98.20
    421.50
    213.40
    368.80
    254.20
    281.20
    Option C
    11 + 456 – ? = 98.20
    ? = 368.80

     

  8. 1/14 + 2/7 – 1/42 = ?
    2/7
    1/3
    4/5
    3/5
    4/7
    Option B
    (3 + 12 – 1) /42 = ?
    ? = 1/3

     

  9. 42.30 – (11)^2 + 520 – ? = 218.40
    240.80
    312.90
    422.90
    222.90
    128.46
    Option D
    562.30 – 121 – ? = 218.40
    ? = 222.90

     

  10. 3/4 of 420 + 320 – 4/5 of 215 = ? + 85
    420
    422
    540
    325
    378
    Option E
    315 + 320 – 172 = ? + 85
    ? = 378

     

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