Quantitative Aptitude Practice Question and Answer

Q: A duster is of dimension 5x5x7 all in cms,  is sinked into a cylindrical vessel of radius 5 cm and height 10 cm. After insertion the level of the water is inccresed by 2.14 cm. Then by what percentage the part of the duster is above the layer ? 1646 0

  • 1
    96 %
    Correct
    Wrong
  • 2
    4 %
    Correct
    Wrong
  • 3
    97 %
    Correct
    Wrong
  • 4
    3 %
    Correct
    Wrong
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Answer : 2. "4 %"
Explanation :

Answer: B) 4 % Explanation: Imension of the duster is assumed as 5x5x7 cm3 Volume of the duster below the water layer= volume of water increased= πxrxrxh = 3.14×52×2.14 ≈ 168 cm3 Total volume of the duster = 5×5×7 = 175 cm3 Percentage of the duster part below the layer = 168×100/175 = 96% Percentage of the duster part above the layer = 4%

Q: A sum of Rs. 8,000 is deposited for 3 years at 5% per annum compound interest (compounded annually). The difference of interest for 3 years and 2 years will be 1643 0

  • 1
    Rs. 387
    Correct
    Wrong
  • 2
    Rs. 441
    Correct
    Wrong
  • 3
    Rs. 469
    Correct
    Wrong
  • 4
    Rs. 503
    Correct
    Wrong
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Answer : 2. "Rs. 441"
Explanation :

Answer: B) Rs. 441 Explanation: Given principal amount = Rs. 8000 Time = 3yrs Rate = 5% C.I for 3 yrs = 8000 x 105100 x 105100 x 105100 - 8000= Rs. 1261   Now, C.I for 2 yrs = 8000 x 105100 x 105100= Rs. 820    Hence, the required difference in C.I is 1261 - 820 = Rs. 441

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Answer : 1. "5"
Explanation :

Answer: A) 5 Explanation: The following arrangements satisfy all 3 conditions. Arrangement 1: 3 books in a row; 12 rows. Arrangement 2: 4 books in a row; 9 rows.Arrangement 3: 6 books in a row; 6 rows.Arrangement 4: 9 books in a row; 4 rows.Arrangement 5: 12 books in a row; 3 rows.   Therefore, the possible arrangements are 5.

Q: 311, 230, 294, ?, 281, 256   What will come in place of the question mark (?) in the above number series? 1637 0

  • 1
    240
    Correct
    Wrong
  • 2
    245
    Correct
    Wrong
  • 3
    244
    Correct
    Wrong
  • 4
    246
    Correct
    Wrong
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Answer : 2. "245"
Explanation :

Answer: B) 245 Explanation: Given 311   230   294   ?   281   256   311 - (9x9) = 230   230 + (8x8) = 294   294 - (7x7) = 245   245 + (6x6) = 281   281 - (5x5) = 256   Hence, the missing number in the given series is 245.

Q: A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ? 1635 0

  • 1
    36 kmph
    Correct
    Wrong
  • 2
    32 kmph
    Correct
    Wrong
  • 3
    28 kmph
    Correct
    Wrong
  • 4
    34 kmph
    Correct
    Wrong
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Answer : 1. "36 kmph"
Explanation :

Answer: A) 36 kmph Explanation: Let the speed of goods truck be 'p' kmphDistance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs. 10p = 4 x 90p = 36kmph.Therefore, the speed of the goods truck is p = 36 kmph.

Q: Find the length of a train if it takes 10 seconds to cross a pole and double of this time to cross a platform of length 200 mts ? 1630 0

  • 1
    180 mts
    Correct
    Wrong
  • 2
    190 mts
    Correct
    Wrong
  • 3
    200 mts
    Correct
    Wrong
  • 4
    210 mts
    Correct
    Wrong
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Answer : 3. "200 mts"
Explanation :

Answer: C) 200 mts Explanation: Let the length of the train be 'L' mts let the speed of the train be 'S' m/s Given it crosses a pole in 10 sec=> L/S = 10 ......(1)Given it takes 20 sec (double of pole) to cross a platform of length 200 mts => (L + 200)/S = 20 => L/S + 200/S = 20 But from (1) L/S = 10 => 200/S = 20 - 10 => S = 20 m/s Then, from (1) => L = 10 x 20 = 200 mts. Hence, the length of the train = 200 mts.

Q: The price of a car is increased by 25%, by how much percent, must the new price of this car be decreased to restore its original price ? 1629 0

  • 1
    20%
    Correct
    Wrong
  • 2
    24%
    Correct
    Wrong
  • 3
    21%
    Correct
    Wrong
  • 4
    25%
    Correct
    Wrong
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Answer : 1. "20%"
Explanation :

Answer: A) 20% Explanation: Suppose that the original price of the car = Rs. x  Then new price of the car => (x) + (x ×25/100) = Rs. 5x/4  To restore the original price, the new price must be decreased by 5x/4 − x = x/4 So required percentage =(x/4)/(5x/4) × 100% = 20%

Q: Simplify the following expression? 40% of (244 x ?) = 48 1627 0

  • 1
    24
    Correct
    Wrong
  • 2
    22
    Correct
    Wrong
  • 3
    20
    Correct
    Wrong
  • 4
    18
    Correct
    Wrong
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Answer : 3. "20"
Explanation :

Answer: C) 20 Explanation: We know that  40% = 40100 = 25⇒25 x 244 x ? = 48? = 48 x 5 x 42 x 24 = 20

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