Bank PO Questions


Q:

A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ?

A) 24 - 1  

B) 2425-1   

C) (24-1)(23-1)25   

D) None 

A) A B) B
C) C D) D
 
Answer & Explanation Answer: C) C

Explanation:

It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects.

 

Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection.

 

Hence, we can select 1 black ball from 4 black balls
or 2 black balls from 4 black balls.
or 3 black balls from 4 black balls.
or 4 black balls from 4 black balls.

 

Hence, number of ways in which we can select the black balls

 

= 4C1 + 4C2 + 4C3 + 4C4
= 24-1 ........(A)

 

Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection.

 

Hence, we can select 1 red ball from 3 red balls
or 2 red balls from 3 red balls
or 3 red balls from 3 red balls

 

Hence, number of ways in which we can select the red balls
= 3C1 + 3C2 + 3C3
=23-1........(B)

 

Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)
or 1 blue ball from 5 blue balls
or 2 blue balls from 5 blue balls
or 3 blue balls from 5 blue balls
or 4 blue balls from 5 blue balls
or 5 blue balls from 5 blue balls.

 

Hence, number of ways in which we can select the blue balls
= 5C0 + 5C1 + 5C2 + … + 5C5
= 25..............(C)

 

From (A), (B) and (C), required number of ways
=  2524-123-1

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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3 9426
Q:

Pointing towards a photograph kiran said to chotu, "I am the only daughter of this lady and her son is your maternal uncle " How is the kiran related to chotu's father  ?

A) Cousin B) Daughter
C) Sister D) Wife
 
Answer & Explanation Answer: D) Wife

Explanation:

cpVU4AOGE7K85NoCI0.34923100_1496466517.png image 

So, the speaker is the mother of chotu. Kiran is wife of chotu's father. Chotu's father is not shown in the diagram.

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Filed Under: Blood Relations
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8 9424
Q:

Two trains namely X & Y leave station 'A' at 6.30am and 7.40am and travel at 30km/hr and 40 km/hr respectively. How many kms from 'A' will the trains meet ?

A) 140 kms B) 120 kms
C) 96 kms D) 142 kms
 
Answer & Explanation Answer: A) 140 kms

Explanation:

It is given train X leave station A at 6:30 am, here it is asked to calculate the distance from A when the trains meet, the
Distance traveled by train left at 6:30 am upto 7:40 am i.e. in 1 hr. 10 min. or 7/6 hours = 30 x 7/6 = 35 km
So train leaving at 7:40 am will meet first train after covering a distance of 35 km. with relative speed of 40-30=10 km/hr.
Hence time taken = 35/10 = 3.5 hours or 3 hours 30 minutes
So distance from A = Distance traveled by 2nd train in 3 hr. 30 min
= 40 x 3.5 = 140 km.

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Filed Under: Problems on Trains
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15 9418
Q:

Which alphabet is a vegetable?

A) C B) T
C) P D) B
 
Answer & Explanation Answer: C) P

Explanation:

The letter 'P' sounds same as the vegetable 'PEA'.

 

Hence P is an alphabet which is a vegetable.

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Filed Under: Logic Puzzles
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6 9417
Q:

The famous book Kankal is authored by ?

A) Ketan Bhagat B) Mahesh Rao
C) Nirmal Verma D) Jaishankar Prasad
 
Answer & Explanation Answer: D) Jaishankar Prasad

Explanation:
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Filed Under: Books and Authors
Exam Prep: Bank Exams , CAT
Job Role: Bank PO

23 9415
Q:

Foresight : Anticipation :: Insomnia : ?

A) Gems B) Sleeplessness
C) Iron D) Diamond
 
Answer & Explanation Answer: B) Sleeplessness

Explanation:

The words in each pair are synonyms. Here Foresight and Anticipation are synonyms to each other and Insomnia is a synonym to Sleeplessness.

 

Hence, Foresight : Anticipation :: Insomnia : Sleeplessness.

 

 

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Filed Under: Analogy
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9 9415
Q:

A spreadsheet contains

A) Rows B) Columns
C) Both A & B D) Tables
 
Answer & Explanation Answer: C) Both A & B

Explanation:

A_spreadsheet_contains1553603758.png image

 

A spreadsheet contains both rows and columns.

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Filed Under: Computer
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5 9412
Q:

Ashok Mehta committee recommended for the establishment of

A) Gram Panchayat B) Nagar Panchayat
C) Panchayat Samiti D) All of the above
 
Answer & Explanation Answer: A) Gram Panchayat

Explanation:

Under the chairmanship of Ashoka Mehta, the Janata Government appointed a committee on Panchayat Raj system in December 1977. They have made 132 recommendations to revive and strengthen the declining Panchayati Raj system in the country. As a result of this report, the Indian states of Karnataka, Andhra Pradesh, and West Bengal passed new legislation.

Ashok_Mehta_committee_recommended_for_the_establishment_of1560945557.jpg image

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Filed Under: Indian Politics
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4 9409