Quantitative Aptitude Practice Question and Answer

Q: Which expression is equivalent to i233? 2147 0

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

Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233  =i4 x 58 + 1 = i232 x i1 = 1 x i = i

Q: A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately? 2140 0

  • 1
    20
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    22
    Correct
    Wrong
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Answer : 1. "20"
Explanation :

Answer: A) 20 Explanation: Given height of the conical tent = 3 m Diameter = 10 => Radius = D/2 = 10/2 = 5 m  Now, as the tent is in the conical form Volume of the conical tent = πr2h3  => (22 x 5 x 5 x 3) / (7 x 3)  = 22 x 25/7  = 78.54 cu.m  Given each person requires 3.92 cu.m of air  => Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20

Q: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ? 2139 0

  • 1
    Rs. 3748
    Correct
    Wrong
  • 2
    Rs. 3847
    Correct
    Wrong
  • 3
    Rs. 3944
    Correct
    Wrong
  • 4
    Rs. 3154
    Correct
    Wrong
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Answer : 3. "Rs. 3944"
Explanation :

Answer: C) Rs. 3944 Explanation: Let the side of the square plot be 'a' ft.Given area of the plot (a x a) = 289 => a = 17Length of the fence = Perimeter of the plot = 4a = 68 ft.Cost of building the fence = 68 x 58 = Rs. 3944.

Q: A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current? 2138 0

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

Answer: A) 4 kmph Explanation: Let the speed of current = 'C' km/hr   Given the speed of boat in still water = 6 kmph   Let 'd' kms be the distance it covers.   According to the given data,   Boat takes thrice as much time in going the same distance against the current than going with the current   i.e, d8 - C = 3 × d8 + C   ⇒ 24 - 3C = 8 + C⇒ 4C = 16⇒ C = 4 kmph   Hence, the speed of the current C = 4 kmph.

Q: Sum of present ages of P and Q is 41. Age of P 2 year hence is equal to age of R, 1 year ago. Age of P, 4 year hence is equal to age of Q 1 year ago and ratio of present age of P and S is 3 : 4. Find the difference of age of R and S. 2125 0

  • 1
    2
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 2. "3"
Explanation :

Answer: B) 3 Explanation: According to the given data, P + Q = 41 ......(1) R - 1 = P + 2 R = P + 3 and P + 4 = Q - 1 => Q = P + 5 ....(2) From (1)&(2) P = 18 Q = 18 + 5 = 23 R = 18 + 3 = 21 => P/S = 3/4 => S = 4/3 x 18 = 24 Required Difference = S - R = 24 - 21 = 3.

Q: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ? 2117 0

  • 1
    Rs. 17.80
    Correct
    Wrong
  • 2
    Rs. 16.30
    Correct
    Wrong
  • 3
    Rs. 14
    Correct
    Wrong
  • 4
    Rs. 15.40
    Correct
    Wrong
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Answer : 2. "Rs. 16.30"
Explanation :

Answer: B) Rs. 16.30 Explanation: C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630. S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819. S.P. per kg = 819/50 = Rs. 16.38 = 16.30.

Q: In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture? 2108 0

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

Answer: A) 1:1 Explanation: Quantity of alohol in the mixture = 40 x 5/8 = 25 lit Quantity of water = 40 - 25 = 15 lit According to question, Required ratio = 20 - 40 x 20100 x 5815 - 40 x 20100 x 38 + 40 x 20100 = 2015 - 3 + 8 = 1 : 1

Q: 40% of 265 + 35% of 180 = 50% of ? 2106 0

  • 1
    383
    Correct
    Wrong
  • 2
    338
    Correct
    Wrong
  • 3
    84.5
    Correct
    Wrong
  • 4
    253.5
    Correct
    Wrong
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Answer : 2. "338"
Explanation :

Answer: B) 338 Explanation: We know that 40% = 25   40% of 265 + 35% of 180 = 50% ?   25 x 265 + 35% of 180 = 50% ?   We know that (35% of 180 = 180% of 35) & 180% = 95   25 x 265 + 95 x 35 = 50% ?   106 + 63 = 50% ?   ?= 2 x 169 = 338.

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