Quantitative Aptitude Practice Question and Answer

Q: A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ? 2406 0

  • 1
    5 kmph
    Correct
    Wrong
  • 2
    10 kmph
    Correct
    Wrong
  • 3
    15 kmph
    Correct
    Wrong
  • 4
    45 kmph
    Correct
    Wrong
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Answer : 1. "5 kmph"
Explanation :

Answer: A) 5 kmph Explanation: Speed of the boat downstream  s=a/t= 60/3 = 20 kmph Speed of the boat upstream s= d/t = 30/3= 10 kmph   Therefore,  The speed of the stream = speed of downstream - speed of upstream2=5 kmph

Q: Find value of log27 +log 8 +log1000log 120 2401 1

  • 1
    1/2
    Correct
    Wrong
  • 2
    3/2
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    2/3
    Correct
    Wrong
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Answer : 2. "3/2"
Explanation :

Answer: B) 3/2 Explanation:  = log 33 + log 23+ log 103log10×3×22        =log33 12+log 23+log 10312log(10×3×22)                 =12log 33+3 log 2+12 log103log10+log3+log22                 =32log 3 + 2 log 2 + log 10log 3 + 2 log 2 + log 10 = 32

Q: Find the odd one out of the following number series? 56, 64, 48, 90, 16, 144 2401 0

  • 1
    48
    Correct
    Wrong
  • 2
    64
    Correct
    Wrong
  • 3
    90
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 3. "90"
Explanation :

Answer: C) 90 Explanation: The given number series follows a pattern that, 56 56 + 8 = 64 64 - 16 = 48 48 + 32 = 80 (Not equal to 90) 80 - 64 = 16 16 + 128 = 144    Hence, the odd number in the given number series is 90.

Q: What percent of a day is 3 hours? 2398 0

  • 1
    14.9%
    Correct
    Wrong
  • 2
    12.5%
    Correct
    Wrong
  • 3
    15.6%%
    Correct
    Wrong
  • 4
    11.4%
    Correct
    Wrong
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Answer : 2. "12.5%"
Explanation :

Answer: B) 12.5% Explanation: Let p% of a day is 3 hrs. We know that a day has 24 hrs. => p x 24/100 = 3 => p = 300/24 => p = 12.5%   Hence, 3 hrs is 12.5% of a day.

Q: Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ? 2394 0

  • 1
    Rs. 1,24,000
    Correct
    Wrong
  • 2
    Rs. 1,44,000
    Correct
    Wrong
  • 3
    Rs. 1,32,000
    Correct
    Wrong
  • 4
    Rs. 1,62,000
    Correct
    Wrong
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Answer : 2. "Rs. 1,44,000"
Explanation :

Answer: B) Rs. 1,44,000 Explanation: Value of Maruti Van, V1 = Rs. 1,96,000Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 yearsLet V2 is the value after depreciation. V2 = V11 - r100tV2 = 196001 - 10071002 V2 = 196000(6/7)(6/7) V2 = (196000x36)/49 = Rs. 1,44,000.

Q: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ? 2392 0

  • 1
    11 months
    Correct
    Wrong
  • 2
    9 months
    Correct
    Wrong
  • 3
    7 months
    Correct
    Wrong
  • 4
    10 months
    Correct
    Wrong
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Answer : 4. "10 months"
Explanation :

Answer: D) 10 months Explanation: 7x5: 5xk = 7:10k = 10 months

Q: A fair six-sided die is rolled twice. What is the probability of getting 4 on the first roll and not getting 6 on the second roll ? 2391 0

  • 1
    1/36
    Correct
    Wrong
  • 2
    5/36
    Correct
    Wrong
  • 3
    1/12
    Correct
    Wrong
  • 4
    1/9
    Correct
    Wrong
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Answer : 2. "5/36"
Explanation :

Answer: B) 5/36 Explanation: The two events mentioned are independent. The first roll of the die is independent of the second roll. Therefore the probabilities can be directly multiplied. P(getting first 4) = 1/6 P(no second 6) = 5/6 Therefore P(getting first 4 and no second 6) = 1/6 x 5/6 = 5/36

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Answer : 4. "8:3"
Explanation :

Answer: D) 8:3 Explanation: Let the speed of the boat upstream be p kmph and that of downstream be q kmph   Time for upstream = 8 hrs 48 min = 845hrs   Time for downstream = 4 hrs   Distance in both the cases is same.   => p x  845= q x 4   => 44p/5 = 4q   => q = 11p/5    Now, the required ratio of Speed of boat : Speed of water current   = q+p2:q-p2   => (11p/5 + p)/2  : (11p/5 - p)/2   => 8 : 3

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