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Q:

A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?

A) 13/42 B) 17/42
C) 5/42 D) 3/14
 
Answer & Explanation Answer: B) 17/42

Explanation:

3 letters can be choosen out of 9 letters in 9C3 ways.

 

More than one vowels ( 2 vowels + 1 consonant  or  3 vowels ) can be choosen in (4C2*5C1)+4C3 ways

 

Hence,required probability = 4C2*5C1+4C39C3 = 17/42

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Filed Under: Probability

Q:

What are operating system services?

Answer



  • Program execution

  • I/O operations

  • File system manipulation

  • Communication

  • Error detection

  • Resource allocation

  • Accounting

  • Protection


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Q:

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1/4%, is:

A) 108.25 B) 112.20
C) 124.75 D) 125.25
 
Answer & Explanation Answer: C) 124.75

Explanation:

For an income of Rs. 756, investment = Rs. 9000. 

 

For an income of Rs.212,  investment =Rs.9000756×212 = Rs. 125.

 

For a Rs. 100 stock, investment = Rs. 125.

 

Market value of Rs. 100 stock = Rs.125-14= Rs. 124.75

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Filed Under: Stocks and Shares

Q:

A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:

A) 8.5% B) 7.5%
C) 8% D) 9%
 
Answer & Explanation Answer: C) 8%

Explanation:

By investing Rs. 1552, income = Rs. 128.

 

By investing Rs. 97, income =Rs.1281552×97= Rs. 8.

 

Dividend = 8%

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Filed Under: Stocks and Shares

Q:

By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:

A) 80 B) 96
C) 106 D) 108
 
Answer & Explanation Answer: B) 96

Explanation:

To earn Rs. 135, investment = Rs. 1620.

 

To earn Rs. 8, investment =Rs.1620135×8= Rs. 96.

 

Market value of Rs. 100 stock = Rs. 96.

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Filed Under: Stocks and Shares

Q:

A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:

A) 3:5 B) 2:1
C) 16:15 D) 4:5
 
Answer & Explanation Answer: C) 16:15

Explanation:

For an income of Re. 1 in 9% stock at 96, investment = Rs. 96/9 = Rs.32/3

For an income Re. 1 in 12% stock at 120, investment = Rs. 120/12 = Rs. 10.

Ratio of investments =(32/3) : 10 = 32 : 30 = 16 : 15.

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Filed Under: Stocks and Shares

Q:

The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height

A) 3 : 7 B) 7 : 3
C) 6 : 7 D) 7 : 6
 
Answer & Explanation Answer: B) 7 : 3

Explanation:

πr2h2πr2h = 924264  

=> r = (24/364) x 2 = 7m 

2πrh = 264   h = (264 × 722×12 ×17) = 6m   

Required Rato =2r/h  =14/6 = 7:3

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Q:

Assume that money can be invested at 8% compounded quarterly,which is larger,$2500 now or $3800 in 5 years?

A) 1557.29 B) 2557.29
C) 2567 D) 2457
 
Answer & Explanation Answer: B) 2557.29

Explanation:

First find the present value of $3800,then compare present values:

 

M  = p(1+i/4)^4n

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO