Quantitative Aptitude Practice Question and Answer

Q: The respective ratio between the speed of a bike, a van  and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together? 2615 0

  • 1
    60 kmph
    Correct
    Wrong
  • 2
    62 kmph
    Correct
    Wrong
  • 3
    64 kmph
    Correct
    Wrong
  • 4
    63 kmph
    Correct
    Wrong
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Answer : 1. "60 kmph"
Explanation :

Answer: A) 60 kmph Explanation: Speed of lorry = 36012 = 30 kmph Speed of van =250100 x 30 = 75 kmph Speed of bike = 35 x 75 = 45 kmph Therefore, now required average speed of bike and van  = 75 + 452= 60 kmph.

Q: When Ram was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Ram's brother is 6 years older than Ram and his mother is 3 years younger than his father, how old was Ram's sister when Ram was born ? 2610 0

  • 1
    6 years
    Correct
    Wrong
  • 2
    8 years
    Correct
    Wrong
  • 3
    10 years
    Correct
    Wrong
  • 4
    12 years
    Correct
    Wrong
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Answer : 3. "10 years"
Explanation :

Answer: C) 10 years Explanation: Ram age when he was born = 0 years=> His brother's age = 6 year=> His father's age = brother age + 32years = 6+32 = 38=> His mother's age = father's age - 3 = 35So sister's age = 35-25 = 10years.

Q: 40 % of 250 = 50% ? 2604 0

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    200
    Correct
    Wrong
  • 2
    100
    Correct
    Wrong
  • 3
    150
    Correct
    Wrong
  • 4
    400
    Correct
    Wrong
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Answer : 1. "200"
Explanation :

Answer: A) 200 Explanation: As per given     40100×250 =50100×x   ⇒x=200

Q: At what time between 3 and 4 o’clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ? 2596 0

  • 1
    3:15 2/8
    Correct
    Wrong
  • 2
    3:49
    Correct
    Wrong
  • 3
    3:49 1/11
    Correct
    Wrong
  • 4
    3:51
    Correct
    Wrong
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Answer : 3. "3:49 1/11"
Explanation :

Answer: C) 3:49 1/11 Explanation: On straight line means 180 degree angle.180 = 11/2 min – 30 hrs180 = 11/2 m – 30 × 3180 = 11/2 m – 90(180 + 90) 2 = 11 mm = 540/11 = 49 1/11 minutes.

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Answer : 2. "5"
Explanation :

Answer: B) 5 Explanation: Let M, N and O worked together for x days. From the given data,M alone worked for 8 daysM,N,O worked for x daysN, O worked for 1 day But given thatM alone can complete the work in 18 daysN alone can complete the work in 36 daysO alone can complete the work in 54 days The total work can be the LCM of 18, 6, 54 = 108 units M's 1 day work = 108/18 = 6 unitsN's 1 day work = 108/36 = 3 unitsO's 1 day work = 108/54 = 2 units Now, the equation is8 x 6 + 11x + 5 x 1 = 10848 + 11x + 5 = 10811x = 103 - 4811x = 55x = 5 days. Hence, all M,N and O together worked for 5 days.

Q: A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ? 2578 0

  • 1
    487
    Correct
    Wrong
  • 2
    585
    Correct
    Wrong
  • 3
    635
    Correct
    Wrong
  • 4
    705
    Correct
    Wrong
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Answer : 2. "585"
Explanation :

Answer: B) 585 Explanation: The smallest possible number of books = L.C.M of 5, 9 and 13.Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.

Q: An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ? 2578 0

  • 1
    55 kms
    Correct
    Wrong
  • 2
    35 kms
    Correct
    Wrong
  • 3
    25 kms
    Correct
    Wrong
  • 4
    65 kms
    Correct
    Wrong
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Answer : 1. "55 kms"
Explanation :

Answer: A) 55 kms Explanation: Let x and y be the respective km's travelled by man via taxi and by his own car.Given x + y = 90 => x = 90 - yBut according to the question,7x + 6y = 5957(90-y) + 6y = 595=> 630 - 7y + 6y = 595=> y = 630 - 595 = 35=> x = 90 - 35 = 55Therefore, the distance travelled by taxi is 55 kms.

Q: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ? 2577 0

  • 1
    39 days
    Correct
    Wrong
  • 2
    37 days
    Correct
    Wrong
  • 3
    35 days
    Correct
    Wrong
  • 4
    33 days
    Correct
    Wrong
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Answer : 3. "35 days"
Explanation :

Answer: C) 35 days Explanation: Distance d = 1200kmlet S be the speed he walks 15 hours a day(i.e 24 - 9)so totally he walks for 70 x 15 = 1050hrs. S = 1200/1050 => 120/105 = 24/21 => 8/7kmph given 1 1/2 of previous speedso 3/2 * 8/7= 24/14 = 12/7 New speed = 12/7kmph Now he rests 10 hrs a day that means he walks 14 hrs a day. time = 840 x 7 /12 => 490 hrs=> 490/14 = 35 days So he will take 35 days to cover 840 km.

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