Quantitative Aptitude Practice Question and Answer

Q: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most  ? 2193 0

  • 1
    215
    Correct
    Wrong
  • 2
    268
    Correct
    Wrong
  • 3
    254
    Correct
    Wrong
  • 4
    216
    Correct
    Wrong
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Answer : 1. "215"
Explanation :

Answer: A) 215 Explanation: Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 x 6 x 6 = 216. Of these attempts, one of them is a successful attempt.   Maximum number of unsuccessful attempts = 216 - 1 = 215.

Q: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is  ? 2193 0

  • 1
    2(6!)
    Correct
    Wrong
  • 2
    6! x 7
    Correct
    Wrong
  • 3
    6! x ⁷P₆
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "6! x ⁷P₆"
Explanation :

Answer: C) 6! x ⁷P₆ Explanation: We can initially arrange the six boys in 6! ways.Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways. Hence required number of ways = 6! x ⁷P₆

Q: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ? 2193 0

  • 1
    2 hrs
    Correct
    Wrong
  • 2
    20 min
    Correct
    Wrong
  • 3
    40 min
    Correct
    Wrong
  • 4
    30 min
    Correct
    Wrong
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Answer : 2. "20 min"
Explanation :

Answer: B) 20 min Explanation: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages. Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr. stoppage time = 20/60 hrs = 20 min.

Q: In a party there are male and female members. If 15 female quit then the number of females will become double the number of males. If 45 males quit no. of female becomes five times the number of males. Find the number of females ? 2189 0

  • 1
    175
    Correct
    Wrong
  • 2
    145
    Correct
    Wrong
  • 3
    165
    Correct
    Wrong
  • 4
    135
    Correct
    Wrong
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Answer : 1. "175"
Explanation :

Answer: A) 175 Explanation: Let the number of males be 'M'Let the number of females be 'F'From the given conditions,(F-15)=2M.....(i)F=5(M-45).....(ii)By solving the equations (1) & (2) we get M = 80 Then substitute M = 80 in (1)F = 2M + 15F = 2 x 80 + 15=> F = 175Therefore, number of males = 80 and females = 175 in the party.

Q: Twelve percent of Kalyan's monthly salary is equal to the sixteen per cent of Nandu's monthly salary. Sarnesh's monthly salary is half that of Nandu's monthly salary. If sarnesh's annual salary is Rs. 1.08 lacs, What is Kalyan's monthly salary ? 2188 0

  • 1
    15,000
    Correct
    Wrong
  • 2
    36,000
    Correct
    Wrong
  • 3
    24,000
    Correct
    Wrong
  • 4
    12,500
    Correct
    Wrong
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Answer : 3. "24,000"
Explanation :

Answer: C) 24,000 Explanation: Let K = Kalyan's monthly salaryN = Nandu's monthly salaryS = Sarnesh's monthly salary.Then from given data, 12% of K = 16% of NS = N/2 => N = 2SK = 16/12 x N = 16/12 x 2S= 16/6 x 1.08/12 = 16/6 x 0.09 = 0.24 lacs = 24,000

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  ? 2185 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: Derivative of sinx by first principle? 2185 0

  • 1
    -sinx
    Correct
    Wrong
  • 2
    -cosx
    Correct
    Wrong
  • 3
    cosx
    Correct
    Wrong
  • 4
    sinx
    Correct
    Wrong
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Answer : 3. "cosx"
Explanation :

Answer: C) cosx Explanation:   Thus, the derivative of sinx by first principle is cosx.

Q: There is sufficient salary to give K for 10 days and L for 15 days. Then how many days will the money last if both has to be given the salary ? 2182 0

  • 1
    6 days
    Correct
    Wrong
  • 2
    12 days
    Correct
    Wrong
  • 3
    4 days
    Correct
    Wrong
  • 4
    9 days
    Correct
    Wrong
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Answer : 1. "6 days"
Explanation :

Answer: A) 6 days Explanation: K's 1 day's salary = 1/10 L's 1 day's salary = 1/15 Together their 1 day's salary = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6 So the money will be enough for paying them both for 6 days.

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