Quantitative Aptitude Practice Question and Answer

Q: The difference between the squares of two consecutive odd integers is always divisible by ? 1475 0

  • 1
    8
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 1. "8"
Explanation :

Answer: A) 8 Explanation: Let the two consecutive odd integers be (2x + 1) and (2x + 3)Then, (2x + 3)2 - (2x + 1)2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4x + 4)(2)= 8 (x + 1), which is always divisible by 8

Q: Manisha went to shop with certain amount, with which she can buy 50 Chacobar or 40 Fivestar. She uses 10% amount for petrol and out of the remaining balance, she purchases 20 Fivestar and some Chacobar. Find the number of Chacobar she can buy? 1474 0

  • 1
    20
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    26
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 1. "20"
Explanation :

Answer: A) 20 Explanation: Let the total amount be 200 {L.C.M of 40 and 50} Chacobar C.P. = 200/50 = 4 Fivestar C.P = 200/40 = 5 Remaining Money after petrol = [200 - 200×10%] = 180 Remaining money after buying fivestars = [180 - 20×5] = 80 So number of Chacobar she can buy = 80/4 = 20

Q: Two letters are randomly chosen from the word TIME. Find the probability that the letters are T and M? 1471 0

  • 1
    1/4
    Correct
    Wrong
  • 2
    1/6
    Correct
    Wrong
  • 3
    1/8
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 2. "1/6"
Explanation :

Answer: B) 1/6 Explanation: Required probability is given by P(E) = n(E)n(S) = 14C2 = 16

Q: What should come in place of question mark (?) in the following number series? 38, 195, ?, 4905, 24530, 122655 1470 0

  • 1
    980
    Correct
    Wrong
  • 2
    885
    Correct
    Wrong
  • 3
    824
    Correct
    Wrong
  • 4
    1021
    Correct
    Wrong
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Answer : 1. "980"
Explanation :

Answer: A) 980 Explanation: The given series follows the pattern that,   ×5+5,   ×5+5,   ×5+5,   ×5+5,   ×5+5   38 x 5 + 5  = 195   195 x 5 + 5 = 980   980 x 5 + 5 = 4905   4905 x 5 + 5 = 24530   24530 x 5 + 5 = 122655   So the missing number is 980 .

Q: Two trains of equal length are running on parallel lines in the same direction at 36 km/hr and 26 km/hr. The faster train passes the slower train in 36 sec. The length of each train is ? 1468 0

  • 1
    28 mts
    Correct
    Wrong
  • 2
    54 mts
    Correct
    Wrong
  • 3
    24 mts
    Correct
    Wrong
  • 4
    50 mts
    Correct
    Wrong
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Answer : 4. "50 mts"
Explanation :

Answer: D) 50 mts Explanation: Let the length of each train be x mts. Then, distance covered = 2x mts. Relative speed = 36 - 26 = 10 km/hr. = 10 x 5/18 = 25/9 m/sec. 2x/36 = 25/9 => x = 50 mts.

Q: Value of vehicle at end of each year depreciates at the rate of 3/5th of value at the beginning. If Initial value is 10,000Rs then at the end of three years its value is ? 1465 0

  • 1
    Rs. 6000
    Correct
    Wrong
  • 2
    Rs. 3600
    Correct
    Wrong
  • 3
    Rs. 2160
    Correct
    Wrong
  • 4
    Rs. 415
    Correct
    Wrong
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Answer : 3. "Rs. 2160"
Explanation :

Answer: C) Rs. 2160 Explanation: End of first year     :  10000 x (3/5) = Rs. 6000End of second year :  6000 x (3/5) = Rs. 3600End of third year    :  3600 x (3/5) = Rs. 2160

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 ? 1461 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,B,C,D,E,F,G and H are sitting around a circular table facing the centre but not necessarily in the same order. G sits third to the right of C. E is second to the right of G and 4th to the right of H. B is fourth to the right of C. D is not an immediate neighbour of E. A and C are immediate neighbours.  Which of the following is/are correct ? 1460 0

  • 1
    F is third to the left of B
    Correct
    Wrong
  • 2
    F is second to the right of B
    Correct
    Wrong
  • 3
    B is an immediate neighbour of D
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 2. "F is second to the right of B"
Explanation :

Answer: B) F is second to the right of B Explanation: From the given information, the circular arrangement is Here F is second to the right of B and the remaning all are wrong.

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