Q:

Solve the following equations and find the value of abc?

A) 3	B) 6
C) 9	D) 12

Answer & Explanation Answer: B) 6

Explanation:

From the given equations,

$(a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 (ab + bc + ca)$
${(6)}^{2} = 14 + 2 (ab + bc + ca)$
36 - 14 = 2(ab + bc + ca)
22/2 = ab + bc + ca
ab + bc + ca = 11

$a^{3} + b^{3} + c^{3} - 3 abc = (a + b + c) (a^{2} + b^{2} + c^{2} - ab - bc - ca)$
= (6) (14 - 11)
=(6)(3)
=18

Since, $a^{3} + b^{3} + c^{3} - 3 abc = 18$

36 - 3abc = 18

-3abc = 18 - 36

-3abc = -18

abc = 6.

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Filed Under: Math Puzzles
Exam Prep: Bank Exams , CAT

37 10889

Q:

Parenthesis is never required in Postfix or Prefix expressions

A) TRUE

B) FALSE

Answer & Explanation Answer: A) TRUE

Explanation:

Parenthesis is not required because the order of the operators in the postfix /prefix expressions determines the actual order of operations in evaluating the expression

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Subject: Database
Job Role: Database Administration

6 10883

Q:

Who amongst the following is the author of the book ' Colours of the Rainbow '

A) A.V.Kamath	B) Anita Nayyar
C) Pritish Nandy	D) Ranjit Biswas

Answer & Explanation Answer: D) Ranjit Biswas

Explanation:

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Filed Under: Books and Authors

22 10881

Q:

It is not advisable to sleep under a tree at night because of release of

A) oxygen in a lesser quantity than the required levels	B) oxygen in large amounts
C) carbon monoxide	D) carbon dioxide

Answer & Explanation Answer: D) carbon dioxide

Explanation:

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Filed Under: General Awareness

54 10876

Q:

Compatibility in regard to computers refers to ________

A) The software doing the right job for the user	B) It being versatile enough to handle the job
C) The software being able to run on the computer	D) Software running with other previously installed software

Answer & Explanation Answer: D) Software running with other previously installed software

Explanation:

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Filed Under: Computer
Exam Prep: Bank Exams

42 10875

Q:

Which Company has launched 'Citizen First' advertisement campaign?

A) Infosys	B) NGC
C) ITC	D) Reliance

Answer & Explanation Answer: C) ITC

Explanation:

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Filed Under: Business Awareness

62 10869

Q:

Goa Shipyard Limited (GSL) was established in

A) 1955	B) 1956
C) 1957	D) 1958

Answer & Explanation Answer: C) 1957

Explanation:

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Filed Under: General Awareness

52 10866

Q:

The world’s largest refinery and petrochemical complex will be set up in which Indian state ?

A) Andhra Pradesh	B) Uttarakhand
C) Telangana	D) Maharashtra

Answer & Explanation Answer: D) Maharashtra

Explanation:

The three state-run Oil Marketing Companies (OMCs) – Indian Oil Corporation (IOC), Hindustan Petroleum Corp Ltd (HPCL) and Bharat Petroleum Corp Ltd (BPCL) have signed an agreement to jointly set up the world’s largest refinery and petrochemical complex at Ratnagiri district of Maharashtra at a cost of $40 billion. The IOC will hold 50% stake and HPCL & BPCL will will take 25% stake each in the new complex. The refinery will produce petrol, diesel, LPG, ATF and feedstock for making petrochemical that are basic building blocks in plastic, chemical and textile industries. The refinery is expected to be completed by 2022.

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Filed Under: General Awareness

54 10865

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