Bank Exams Questions

Q:

A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?

A) 123 B) 113
C) 246 D) 945
 
Answer & Explanation Answer: C) 246

Explanation:

A Committee of 5 persons is to be formed from 6 gentlemen and 4 ladies by taking. 

 

(i) 1 lady out of 4 and 4 gentlemen out of 6 

(ii) 2 ladies out of 4 and 3 gentlemen out of 6 

(iii) 3 ladies out of 4 and 2 gentlemen out of 6 

(iv) 4 ladies out of 4 and 1 gentlemen out of 6 

 

In case I the number of ways = C14×C46 = 4 x 15 = 60 

In case II the number of ways = C24×C36 = 6 x 20 = 120 

In case III the number of ways = C34×C26 = 4 x 15 = 60

In case IV the number of ways = C44×C16 = 1 x 6 = 6 

 

Hence, the required number of ways = 60 + 120 + 60 + 6 = 246

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Filed Under: Permutations and Combinations
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Q:

Minute hand overlaps hour hand in 65 mins. In how many days it will gain 1440 hours ?

A) 57 days B) 58 days
C) 60 days D) 61 days
 
Answer & Explanation Answer: C) 60 days

Explanation:

In this problem , it has considered that 65 mins = 1hr
So mins has increased by 5 mins so multiply 5 x 24 = 120 mins extra ,
That is now per day it adds 2hr extra, so divide 1440/26 = 59.384 days =~ 60 days.

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Filed Under: Clock puzzles
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38 12886
Q:

Iodine test is used to detect

A) Carbohydrate B) Fat
C) Protein D) Cholesterol
 
Answer & Explanation Answer: A) Carbohydrate

Explanation:

The iodine test is used to test for the presence of starch i.e, Carbohydrate.

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Filed Under: General Science
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30 12876
Q:

Which structural formula represents a dipole?

dipole1526886238.jpg image

A) 4 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: D) 1

Explanation:

What is Dipole :

 

when two atoms in a molecule have substantially different electronegativity: One atom attracts electrons more than another, becoming more negative, while the other atom becomes more positive.

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Filed Under: Chemistry
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Q:

The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.

  Ratio of Value of Imports to Exports by a Company Over the Years.

1. If the imports in 1998 was Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was ?

A. Rs. 250 cr         B. Rs. 300 cr         C. Rs. 357 cr         D. Rs. 420 cr

 

2. The imports were minimum proportionate to the exports of the company in the year ?

A. 1995                 B. 1996                 C. 1997                 D. 2000

 

3. What was the percentage increase in imports from 1997 to 1998 ?

A. 72                     B. 56                     C. 28                     D. Data Inadequate

 

4. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was ?

A. Rs. 370 cr         B. Rs. 320 cr         C. Rs. 280 cr         D. Rs. 275 cr

 

5. In how many of the given years were the exports more than the imports ?

A. 1                       B. 2                       C. 3                       D. 4

Answer

1. ANSWER : D 


Explanation - The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively. 


Let the exports in the year 1999 = Rs. x crores.  


Then, the exports in the year 1998 = Rs. (500 - x) crores. 


 250500-x = 1.25 => x = 300 crores      [ Using ratio for 1998 ]  


Thus, the exports in the year 1999 = Rs. 300 crores. 


 


Let the imports in the year 1999 = Rs. y crores.  


Then, Imports in the year 1999 = y300=1.4 => y = 420= Rs. 420 crores.


 


2. ANSWER : C


Explanation - The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.


Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997. 


 


3. ANSWER : D 


Explanation - The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years. 


Hence, the data is inadequate to answer this question. 


 


4. ANSWER : B 


Explanation -  Ratio of imports to exports in the year 1996 = 0.85. 


Let the exports in 1996 = Rs. x crores. 


Then , 272x = 0.85 => x = 320  


Exports in 1996 = Rs. 320 crores.  


 


5. ANSWER : D  


Explanation - The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000. 


Thus, there are four such years.

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Subject: Line Charts Exam Prep: CAT , Bank Exams , AIEEE
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38 12862
Q:

Which Color has the Longest Wavelength?

A) Violet B) Yellow
C) Red D) White
 
Answer & Explanation Answer: C) Red

Explanation:

The visible colors from Longest wavelength to Shortest wavelength are :: Red, Orange, Yellow, Green, Blue and Violet.

                    Red > Orange > Yellow > Green > Blue > Violet.

 

1. Infrared radiation has a longer wavelength than visible Red light.

 

2. Ultraviolet radiation has a shorter wavelength than the visible violet light. 

 

3. The white light is a mixture of the colors of the visible spectrum.

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Filed Under: Physics
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Q:

What is the median of the following list of numbers

 

55, 53, 56, 59, 61, 69, and 31 ?

A) 55 B) 56
C) 59 D) 61
 
Answer & Explanation Answer: B) 56

Explanation:
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Filed Under: Probability
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Q:

38% of 7500 +  ?% of 375 = 50% of 6000

A) 50 B) 40
C) 60 D) 45
 
Answer & Explanation Answer: B) 40

Explanation:

Let ? = p

38 x 7500/100  + p x 375/100 = 50 x 6000/100

=> 38 x 75 + 3.75p = 3000

=> 3.75p = 3000 - 2850

=> p = 150/3.75 

=> p = ? = 40

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Filed Under: Simplification
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