Bank Clerk 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 9247
Q:

The age of a lion can be determined from its

A) hair B) nose
C) nails D) tail
 
Answer & Explanation Answer: B) nose

Explanation:

By seeing the color of the nose we can determine the age of lions.

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Filed Under: Animals and Birds
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

24 9246
Q:

Sixty men can stitch 150 shirts in 30 days working 8 hours a day. In how many days can 35 men stitch 200 shirts working 6 hours a day ?

A) 87.5 B) 89
C) 91.5 D) 93.5
 
Answer & Explanation Answer: C) 91.5

Explanation:

We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (Variation rule)
(60 x 30 x 8)/ 150 = (35 x D2 x 6) / 200
D2 = (60 x 30 x 8 x 200) / (150 x 35 x 6) => D2 = 91.42 days =~ 91.5 days.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

5 9238
Q:

Adverbs can modify all of the following except

A) Nouns B) Verbs
C) Adjectives D) Other adverbs
 
Answer & Explanation Answer: A) Nouns

Explanation:

An adverb is a word that modifies a verb, adjective, determiner, clause, preposition, or sentence.

Adverbs can modify all of the following except nouns.

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Filed Under: English
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

6 9236
Q:

A supplier supplies cartridges to a news paper publishing house. He earns a profit of 25% by selling cartridges for Rs. 1540. Find the cost price of the Cartridges ?

A) Rs. 1100 B) Rs. 1793.4
C) Rs. 1440 D) Rs. 1232
 
Answer & Explanation Answer: D) Rs. 1232

Explanation:

Let Cost Price(C.P) = P
gain% = {(S.P-C.P)/C.P} x 100
25 = {(1540-P)/P} x 100
25/100 = (1540-P)/P
=> P = 4(1540)-4P
=> 5P = 4(1540)
=> P = 1232
So, Cost Price = Rs. 1232

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

11 9229
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 9207
Q:

Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 25 kmph and 35 kmph. When will they meet for the first time any where on the track  ?

A) 54 sec B) 36 sec
C) 72 sec D) 11 sec
 
Answer & Explanation Answer: B) 36 sec

Explanation:

Time taken to meet the first time = length of track/relative speed

 

Given the length of the track is 600 m

 

The relative speed = 25 + 35 = 60 kmph = 60 x 5/18 m

 

Therefore Time = 60025+35518= 600/60 x (18/5) = 36 sec.

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Filed Under: Time and Distance
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8 9206
Q:

Which of these is not a function of the kidneys?

A) The kidneys regulate the plasma volume B) The kidneys help to regulate blood pressure
C) The kidneys help control the rate of red blood cell production D) The kidneys deactivate vitamin D and stimulate the activity of osteoclasts
 
Answer & Explanation Answer: D) The kidneys deactivate vitamin D and stimulate the activity of osteoclasts

Explanation:

The kidneys deactivate vitamin D and stimulate the activity of osteoclasts is wrong among the functions of kidneys.

 

The kidneys are two bean-shaped organs in the renal system. They help the body pass waste as urine. They also help filter blood before sending it back to the heart.

 

The kidneys perform many crucial functions, including:

  • maintaining overall fluid balance.
  • regulating and filtering minerals from the blood.
  • filtering waste materials from food, medications, and toxic substances.
  • creating hormones that help produce red blood cells, promote bone health, and regulate blood pressure.
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Filed Under: Biology
Exam Prep: AIEEE , Bank Exams
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10 9187