Quantitative Aptitude Practice Question and Answer

Q: The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is 1858 0

  • 1
    196 mts
    Correct
    Wrong
  • 2
    220 mts
    Correct
    Wrong
  • 3
    230 mts
    Correct
    Wrong
  • 4
    245 mts
    Correct
    Wrong
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Answer : 4. "245 mts"
Explanation :

Answer: D) 245 mts Explanation: Let the length of the brigade is x mtsThen Distance = 130 + x mtsgiven speed = 45 kmph = 45 x5/18 m/sTime = 30 secT = D/S => 30 = 130+x/(45x5/18)=> x = 245 mts.

Q: The average of marks in 3 subjects is 224. The first subject marks is twice the second and the second subject marks is twice the third. Find the second subject marks ? 1858 0

  • 1
    384
    Correct
    Wrong
  • 2
    96
    Correct
    Wrong
  • 3
    192
    Correct
    Wrong
  • 4
    206
    Correct
    Wrong
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Answer : 3. "192"
Explanation :

Answer: C) 192 Explanation: Let the third subject marks be 'x'=> Second subject marks = 2x=> Third subject marks = 4xGiven avg = 224x + 2x + 4x = 224 x 3=> 7x = 224 x 3=> x = 96Hence, Second subject marks = 2x = 2 x 96 = 192.

Q: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ? 1857 0

  • 1
    25 m
    Correct
    Wrong
  • 2
    21 m
    Correct
    Wrong
  • 3
    22 m
    Correct
    Wrong
  • 4
    19 m
    Correct
    Wrong
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Answer : 1. "25 m"
Explanation :

Answer: A) 25 m Explanation: A:B = 200 : 169A:C = 200 : 182 CB = CA×AB    182200×200169   => 182:169   When C covers 182 m , B Covers 169 mWhen C covers 350 m , B Covers 169182×350=> 325 m       So C beats B by (350 - 325) = 25 m.

Q: When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ? 1854 0

  • 1
    22
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    32
    Correct
    Wrong
  • 4
    26
    Correct
    Wrong
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Answer : 2. "36"
Explanation :

Answer: B) 36 Explanation: Total number of students = 54 x 30When arranged in rows of 45, number of rows formed are, 54x3045 = 36.

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 ? 1852 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: An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 600 km from the starting point ? 1852 0

  • 1
    6 hrs 24 min
    Correct
    Wrong
  • 2
    6 hrs
    Correct
    Wrong
  • 3
    7 hrs 21 min
    Correct
    Wrong
  • 4
    6 hrs 28 min
    Correct
    Wrong
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Answer : 4. "6 hrs 28 min"
Explanation :

Answer: D) 6 hrs 28 min Explanation: Time taken to cover 600 km = 600/100 = 6 hrs. Number of stoppages = 600/75 - 1 = 7 Total time of stoppages = 4 x 7 = 28 min Hence, total time taken = 6 hrs 28 min.

Q: What should come in place of question mark (?) in the following number series? 38, 195, ?, 4905, 24530, 122655 1850 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: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? 1850 0

  • 1
    [1, 32]
    Correct
    Wrong
  • 2
    (0, 1)
    Correct
    Wrong
  • 3
    [1, 1/2]
    Correct
    Wrong
  • 4
    (1, 1/2]
    Correct
    Wrong
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Answer : 3. "[1, 1/2]"
Explanation :

Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32=  P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].

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