Quantitative Aptitude Practice Question and Answer

Q: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ? 3163 0

  • 1
    12,421
    Correct
    Wrong
  • 2
    9,423
    Correct
    Wrong
  • 3
    11,600
    Correct
    Wrong
  • 4
    10,500
    Correct
    Wrong
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Answer : 4. "10,500"
Explanation :

Answer: D) 10,500 Explanation: The ratio of their investments:50000x36 : 80000x30 = 3 : 4Simran's share of profit = (24500x3/7) = Rs.10,500.

Q: The ratio between boys and girl’s in a school is 4:6 respectively. If the number of boys is increased by 200 the ratio becomes 5:6 respectively. How many girls are there in the school? 2169 0

  • 1
    1200
    Correct
    Wrong
  • 2
    800
    Correct
    Wrong
  • 3
    1000
    Correct
    Wrong
  • 4
    500
    Correct
    Wrong
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Answer : 1. "1200"

Q: A is thrice as fast as B. Together they can do a job in 15 days. In how many days will B finish the work? 2633 0

  • 1
    40
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    30
    Correct
    Wrong
  • 4
    20
    Correct
    Wrong
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Answer : 2. "60"

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Answer : 3. "118.08L"
Explanation :

Answer: C) 118.08L Explanation: The amount of petrol left after 4 operations   = 200 × 1-402004   = 200 × 454   = 200 × 256625   = 81.92 litres   Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

Q: From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was: 13565 1

  • 1
    75 litres
    Correct
    Wrong
  • 2
    100 litres
    Correct
    Wrong
  • 3
    150 litres
    Correct
    Wrong
  • 4
    120 litres
    Correct
    Wrong
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Answer : 4. "120 litres"
Explanation :

Answer: D) 120 litres Explanation: wine(left)wine(added) = 343169   It means  wine(left)wine(initial amount) = 343512    (since 343 + 169 = 512)    Thus,  343x = 512x1 - 15k3    343512 = 783 = 1 - 15k3    1-15k=78=1-18    Thus the initial amount of wine was 120 liters.

Q: 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible? 1703 1

  • 1
    2880
    Correct
    Wrong
  • 2
    1440
    Correct
    Wrong
  • 3
    720
    Correct
    Wrong
  • 4
    2020
    Correct
    Wrong
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Answer : 1. "2880"
Explanation :

Answer: A) 2880 Explanation: There are total 9 places out of which 4 are even and rest 5 places are odd.   4 women can be arranged at 4 even places in 4! ways.   and 5 men can be placed in remaining 5 places in 5! ways.   Hence, the required number of permutations  = 4! x 5! = 24 x 120 = 2880

Q: How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4? 2743 0

  • 1
    120
    Correct
    Wrong
  • 2
    360
    Correct
    Wrong
  • 3
    240
    Correct
    Wrong
  • 4
    424
    Correct
    Wrong
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Answer : 2. "360"
Explanation :

Answer: B) 360 Explanation: There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.    Number of 7 digit numbers = 7!3!×2! = 420   But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.   =6!3!×2! = 60   Hence the required number of 7 digits numbers = 420 - 60 = 360

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Answer : 2. "2 x (18!)"
Explanation :

Answer: B) 2 x (18!) Explanation: A person can be chosen out of 18 people in 18 ways to be seated between Musharraf and Manmohan. Now consider Musharraf, Manmohan, and the third person, sitting between them, as a single personality, we can arrange them in 17! ways but Musharraf and Manmohan can also be arranged in 2 ways.    Required number of permutations = 18 x (17!) x 2 = 2 x 18!

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