Quantitative Aptitude Practice Question and Answer

Q: If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ? 1515 0

  • 1
    100 mts
    Correct
    Wrong
  • 2
    96 mts
    Correct
    Wrong
  • 3
    98 mts
    Correct
    Wrong
  • 4
    120 mts
    Correct
    Wrong
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Answer : 3. "98 mts"
Explanation :

Answer: C) 98 mts Explanation: Let the distance between home and school is 'x'.Let actual time to reach be 't'.Thus, x/4 = t + 4 ---- (1)and x/6 = t - 30 -----(2)Solving equation (1) and (2)=> x = 98 mts.

Q: Length of a train is 300 metre. It’s speed is 72 km/hour. In how many seconds it can cross a pole? 1514 0

  • 1
    18 seconds
    Correct
    Wrong
  • 2
    15 seconds
    Correct
    Wrong
  • 3
    12 seconds
    Correct
    Wrong
  • 4
    20 seconds
    Correct
    Wrong
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Answer : 2. "15 seconds"

Q: After working for 8 days, Hari Ram finds that only 1/3 rd of the work has been done. He employs Satya who is 60% as efficient as Hari Ram. How many days more would Satya take to complete the work ? 1514 0

  • 1
    24 1/2 days
    Correct
    Wrong
  • 2
    25 3/2 days
    Correct
    Wrong
  • 3
    24 2/3 days
    Correct
    Wrong
  • 4
    26 2/3 days
    Correct
    Wrong
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Answer : 4. "26 2/3 days"
Explanation :

Answer: D) 26 2/3 days Explanation: 1/3 ---- 8 1 -------? Hari can do total work in = 24 days As satya is 60% efficient as Hari, then Satya = 1/24 x 60/100 = 1/40 => Satya can do total work in 40 days 1 ----- 40 2/3 ---- ? => 26 2/3 days.

Q: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1512 0

  • 1
    360
    Correct
    Wrong
  • 2
    180
    Correct
    Wrong
  • 3
    90
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "180"
Explanation :

Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ;   8 x 9 x 25 x 7 = 23 × 32 × 52 × 7   16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72   H.C.F = 22 × 32 × 5 = 180.

Q: A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ? 1512 0

  • 1
    25
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    23
    Correct
    Wrong
  • 4
    21
    Correct
    Wrong
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Answer : 1. "25"
Explanation :

Answer: A) 25 Explanation: (A+B+C) do 1 work in 10 days. So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5 Remaining work=1-2/5=3/5   (B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50 Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25 A does 1/25 work in in 1 day Therefore 1 work in 25 days.

Q: 7 years ago, the ratio of the ages of Anirudh to that of Bhavana, was 7:9. Chandhu is 12 years older than Anirudh and 12 years younger than Bhavana. What is Chandhu's present age? 1511 0

  • 1
    91 years
    Correct
    Wrong
  • 2
    115 years
    Correct
    Wrong
  • 3
    103 years
    Correct
    Wrong
  • 4
    Can't be determined
    Correct
    Wrong
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Answer : 3. "103 years"
Explanation :

Answer: C) 103 years Explanation: Let present Anirudh's age be 'A' and Bhavana's age be 'B' Given seven years, their ratio is 7:9 => A-7 : B-7 = 7 : 9 => 9A - 7B = 14 .......(1) And given, Chandhu is 12 years older than A nad 12 years younger than B => C = A + 12....(2) => B = C + 12 => B = A + 12 + 12 .....(From (2)) => B = A + 24 ....(3) Put (3) in (1) 9A - 7(A+24) = 14 9A - 7A - 168 = 14 2A = 182 => A = 91 years => C = A + 12 = 91 +12 = 103 years.

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 ? 1509 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

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Answer : 2. "100"
Explanation :

Answer: B) 100 Explanation: Let the Efficiency of pavan be E(P) Let the Efficiency of sravan be E(S) Here Work W = LCM(25,20) = 100 Now, E(P+2S) = 100/25 = 4 ....(1) E(2P+S) = 100/20 = 5 ....(2) Hence, from (1) & (2) we get E(S) = 1 => Number of days Savan alone work to complete the work  = 100/1 = 100 days.

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