বিন্যাস, সমবেশ ও সম্ভাব্যতা (Permutation, Combination and Probability)

Question 1: A jogger running at 9 km/hr alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?

3.6 sec

18 sec

36 sec

72 sec

Source: Exim Bank Ltd - Management Trainee Officer - 11.01.2013

Answer: 36 sec

Explanation:

Question 2: Certain numbers of children were playing a game of football. There was a trial taking place on the field. In this trial the probability that a goal is scored is 2/5. The probability that a gril hits a goal is 7/10 whereas the probability than a boy hits a goal is 1/5. What will be the probability that not only a goal is hit but it is also hit by a boy?

14/50

7/50

44962

2/25

Source: Mutual Trust Bank ltd - Management Trainee Officer - 16.05.2014

Answer: 2/25

Explanation:

Question 3: A bag contains 4 white , 5 red and 6 blue balls. Three balls are drawn at rand dom from the bag .The probability that all of them are red.is :

122

291

322

277

Source: অফিসার (ক্যাশ ) - Sonali - Rupali - BD Krishi - Rajshahi Krishi Unnayn - Investment Corporation Of Bangladesh - ২৯. ০৩.২০১৯

Answer: 291

Explanation:

Question 4: Jennifer flipped a coin three times and got heads each time. What is the probability that she gets heads on the next flip?

1/16

44928

Source: সহকারী পরিচালক(AD) -12.11.2021

Answer: 44928

Explanation:

Question 5: All possible three digit numbers are formed formes by 1, 2, 3 . If one number is chosen randomly, the probability that it would be divisible by 111 is____

2/9

44929

1/4

Source: Senior Officer 01-06-2018

Answer:

Explanation:

Question 6: In a group of buffaloes and ducks, the number of legs is 24 more than twice the number of heads. What is the number of buffaloes?

Source: বাংলাদেশ ব্যাংক অফিসার ০২ -১২-২০২২

Answer: 12

Explanation:

Question 7: From a group of 7 men and 6 women, five persons are to be selected to from a committee so that at least 3 men are there on the committee. In how many ways can it be done ?

564

645

735

756

Source: Bangladesh Bank - Assistant Director - 2011

Answer: 756

Explanation:

Question 8: A person has TK. 950 in 29 notes consisting of TK. 500,100, 50 and 10. How many notes should at least be in TK. 50 ?

None of these

Source: Bangladesh Bank - Officer - 2001

Answer: 2

Explanation:

Question 9: what is the probability that an integer selected at random from those between 10 and 100 inclusive is a multiple of 5 or 9?

2789

2091

2791

2389

Source: Assistant Director (General) 06.07.18

Answer: 2791

Explanation:

Question 10: Ina zoo , each pigeon has 2 legs, and each rabbit has 4 legs. The head count of the two species together is 12 , and the leg count is 32. How many pigeons and how main rabbits are there in the zoo ?

6 & 3

5 &10

8 & 4

6 & 8

Source: Bangladesh Bank - Assistant Director - 2012

Answer: 8 & 4

Explanation:

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Question 1: A jogger running at 9 km/hr alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?

Question 3: A bag contains 4 white , 5 red and 6 blue balls. Three balls are drawn at rand dom from the bag .The probability that all of them are red.is :

Question 4: Jennifer flipped a coin three times and got heads each time. What is the probability that she gets heads on the next flip?

Question 5: All possible three digit numbers are formed formes by 1, 2, 3 . If one number is chosen randomly, the probability that it would be divisible by 111 is____

Question 6: In a group of buffaloes and ducks, the number of legs is 24 more than twice the number of heads. What is the number of buffaloes?

Question 7: From a group of 7 men and 6 women, five persons are to be selected to from a committee so that at least 3 men are there on the committee. In how many ways can it be done ?

Question 8: A person has TK. 950 in 29 notes consisting of TK. 500,100, 50 and 10. How many notes should at least be in TK. 50 ?

Question 9: what is the probability that an integer selected at random from those between 10 and 100 inclusive is a multiple of 5 or 9?

Question 10: Ina zoo , each pigeon has 2 legs, and each rabbit has 4 legs. The head count of the two species together is 12 , and the leg count is 32. How many pigeons and how main rabbits are there in the zoo ?

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