Quantitative Aptitude Practice Question and Answer

Q: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ? 6775 0

  • 1
    6/7
    Correct
    Wrong
  • 2
    19/21
    Correct
    Wrong
  • 3
    7/31
    Correct
    Wrong
  • 4
    5/21
    Correct
    Wrong
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Answer : 4. "5/21"
Explanation :

Answer: D) 5/21 Explanation: Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁) As remaining person can be any one among three couples left. Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅= (10 x 6)/252 = 5/21

Q: In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin? 6753 0

  • 1
    4/7
    Correct
    Wrong
  • 2
    2/3
    Correct
    Wrong
  • 3
    1/2
    Correct
    Wrong
  • 4
    5/6
    Correct
    Wrong
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Answer : 2. "2/3"
Explanation :

Answer: B) 2/3 Explanation: Total coins 30 In that, 1 rupee coins 20 50 paise coins 10Probability of total 1 rupee coins =  20C11 Probability that 11 coins are picked = 30C11 Required probability of a coin now picked from the box is 1 rupee = 20C11/30C11 = 2/3.

Q: Find the missing number? 15, 30, ? , 40, 8, 48 6725 0

  • 1
    21
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    19
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 4. "10"
Explanation :

Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48  Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.

Q: Which two months in a year have the same calendar? 6706 0

  • 1
    October, December
    Correct
    Wrong
  • 2
    April, November
    Correct
    Wrong
  • 3
    June, October
    Correct
    Wrong
  • 4
    April, July
    Correct
    Wrong
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Answer : 4. "April, July"
Explanation :

Answer: D) April, July Explanation: If the period between the two months is divisible by 7, then that two months will have the same calender . Now,(a). October + November = 31 + 30 = 61 (not divisible by 7) (b). Apr. + May + June + July + Aug. + Sep. + Oct. = 30 + 31 + 30 + 31 + 31 +30 + 31 = 213 (not divisible by 7) (c). June + July + Aug. + Sep. = 30 + 31 + 31 + 30 = 122 (not divisible by 7) (d). Apr. + May + June = 30 + 31 + 30 = 91 (divisible by 7)   Hence, April and July months will have the same calendar.

Q: There are Rs.300 in a box in denomination of Rs.1, 50 paisa and 25 paisa and in the ratio 2:4:8. Find the number of coins of 25 paisa 6652 3

  • 1
    300
    Correct
    Wrong
  • 2
    200
    Correct
    Wrong
  • 3
    400
    Correct
    Wrong
  • 4
    100
    Correct
    Wrong
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Answer : 3. "400"

Q: Which is the next number in the sequence: 1, 3, 6, 11, 20, 37, ?? 6646 0

  • 1
    49
    Correct
    Wrong
  • 2
    56
    Correct
    Wrong
  • 3
    64
    Correct
    Wrong
  • 4
    70
    Correct
    Wrong
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Answer : 4. "70"
Explanation :

Answer: D) 70 Explanation: Here the given series is 1, 3, 6, 11, 20, 37, ??, and the logic behind the series is 1 x 2 + 1 = 3 3 x 2 + 0 = 6 6 x 2 + (-1) = 11 11 x 2 + (-2) = 20 20 x 2 + (-3) = 37 37 x 2 + (-4) = 70   Hence, the next number in the given series is 70.

Q: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? 6623 1

  • 1
    180 km
    Correct
    Wrong
  • 2
    160 km
    Correct
    Wrong
  • 3
    140 km
    Correct
    Wrong
  • 4
    120 km
    Correct
    Wrong
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Answer : 1. "180 km"
Explanation :

Answer: A) 180 km Explanation: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

Q: 30% of first number is 75% of the second number. What is the respective ratio of the first number to the second number? 6621 1

  • 1
    5:2
    Correct
    Wrong
  • 2
    5:3
    Correct
    Wrong
  • 3
    25:14
    Correct
    Wrong
  • 4
    15:16
    Correct
    Wrong
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Answer : 1. "5:2"

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