Quantitative Aptitude Practice Question and Answer

Q: Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ? 1645 0

  • 1
    40 km
    Correct
    Wrong
  • 2
    50 km
    Correct
    Wrong
  • 3
    70 km
    Correct
    Wrong
  • 4
    80 km
    Correct
    Wrong
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Answer : 4. "80 km"
Explanation :

Answer: D) 80 km Explanation: Let the total distance be 'x' km. Time taken to cover remaining 40% of x distance is   t1=40×x100×48 But given time taken to cover first 60% of x distance is   t2=t1+2060hrs  t2=60×x100×48 ∴60×x100×48= 40×x100×48+2060  x=80 km.

Q: It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel  ? 1643 0

  • 1
    1/7 min
    Correct
    Wrong
  • 2
    7/2 min
    Correct
    Wrong
  • 3
    5/7 min
    Correct
    Wrong
  • 4
    7/5 min
    Correct
    Wrong
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Answer : 2. "7/2 min"
Explanation :

Answer: B) 7/2 min Explanation: Time taken to fill 2/7 = 1Then to fill full 1 = ?? = 1/(2/7) = 7/2 minutes.

Q: A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively? 1642 0

  • 1
    7:4
    Correct
    Wrong
  • 2
    11:4
    Correct
    Wrong
  • 3
    4:7
    Correct
    Wrong
  • 4
    8:3
    Correct
    Wrong
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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

Q: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ? 1641 0

  • 1
    11
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    13
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Here the number of cogs is inveresly proportional to number of revolutions => More cogs less revolution=> 6 : 14 :: x : 21=> (21x6)/14 = 9

Q: How many numbers up to 101 and 300 are divisible by 11  ? 1640 0

  • 1
    18
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    19
    Correct
    Wrong
  • 4
    17
    Correct
    Wrong
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Answer : 1. "18"
Explanation :

Answer: A) 18 Explanation: (300 – 101)/11 = 199/11 = 18 1/1118 Numbers.

Q: A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ? 1635 1

  • 1
    14.28 % profit
    Correct
    Wrong
  • 2
    24.18 % profit
    Correct
    Wrong
  • 3
    14.28 % loss
    Correct
    Wrong
  • 4
    24.18 % loss
    Correct
    Wrong
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Answer : 1. "14.28 % profit"
Explanation :

Answer: A) 14.28 % profit Explanation: Let 1kg of Rs. 100 then 840gm is of Rs. 84.Now (label on can 1kg but contains 840kg ) so for customer it is of Rs. 100 and further gives 4% discount [he sells his article on 4% loss on cost price.] So now S.P = Rs. 96But actually it contains 840 gm so C.P for shopkeeper = Rs. 84S.P = Rs. 96C.P = Rs. 84Profit% = {(S.P-C.P)/C.P}x100{(96-84)/84} x 100 = 14.28571429% PROFIT.

Q: There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ? 1634 0

  • 1
    49450
    Correct
    Wrong
  • 2
    50540
    Correct
    Wrong
  • 3
    46587
    Correct
    Wrong
  • 4
    52487
    Correct
    Wrong
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Answer : 2. "50540"
Explanation :

Answer: B) 50540 Explanation: Given G + B= 41 and B = G-1 Hence, G = 21 and B = 20Now we have 2 options, 1G and 3M (or) 3G and 1M(2G and 2M or 0G and 4M or 4G and oM are not allowed),   Total : C121×C320+C321×C120= 50540 ways.

Q: The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements? 1629 0

  • 1
    4320
    Correct
    Wrong
  • 2
    4694
    Correct
    Wrong
  • 3
    4957
    Correct
    Wrong
  • 4
    4871
    Correct
    Wrong
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Answer : 1. "4320"
Explanation :

Answer: A) 4320 Explanation: Given Word is PROMISE. Number of letters in the word PROMISE = 7 Number of ways 7 letters can be arranged = 7! ways Number of Vowels in word PROMISE = 3 (O, I, E) Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways   Now, the number of ways of arrangements so that three vowels should not come together = 7! - (5! x 3!) ways = 5040 - 720 = 4320.

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