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Q:

The Steel Man of India and former chief of Tisco (now Tata Steel) who passed away recently

Answer

Russi Mody

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Subject: Famous Personalities

Q:

The economies of the world declared world's most expensive economies in a recent ranking by the World Bank

Answer

Switzerland and Norway

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Subject: General Awareness

Q:

The book '100 Things to Know and Debate Before You Vote' is written by

Answer

Hindol Sengupta

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Subject: Books and Authors

Q:

The value of

$\left [ \frac{2^{n}+2^{n-1}}{2^{n+1}-2^{n}} \right ]$ is:

Answer

$\frac{2^{n} + \frac{2^{n}}{2}}{2 x 2^{n} - 2^{n}} = \frac{2^{n} (1 + \frac{1}{2})}{2^{n} (2 - 1)} = \frac{3}{2}$

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

Q:

The total number of prime factors in the expansion

$4^{11}\times 7^{5}\times11^{2}$

Answer

$2^{2^{11}} x 7^{5} x 11^{2} = > 2^{22} x 7^{5} x 11^{2}$

Total number of prime factors is (22+5+2) = 29

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
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Q:

A fraction becomes 2/3 when 1 is added to both, its numerator and denominator .And , it becomes 1/2 when 1 is subtracted from both the numerator and denominator. What is the fraction?

Answer

Let required fraction be $\frac{x}{y}$ then

$\frac{x+1}{y+1}=\frac{2}{3}\Rightarrow 3x-2y=-1$ ............. (i)

and $\frac{x-1}{y-1}=\frac{1}{2}\Rightarrow 2x-y=1$ ............ (ii)

Solving (i) and (ii) we get x=3, y=5

$\inline \therefore$ Required fraction = $\frac{3}{5}$

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Subject: Problems on Numbers

Q:

The slogan No taxation without representation was first raised during the American Revolution in

A) Boston Tea Party	B) Massachussets Assembly
C) Philadelphia Congress	D) None of these

Answer & Explanation Answer: B) Massachussets Assembly

Explanation:

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Filed Under: World History

Q:

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856	B) 3969
C) 480	D) None of these

Answer & Explanation Answer: B) 3969

Explanation:

We can select atleast one item from 6 different items = $2^{6} - 1$

Similarly we can select atleast one item from other set of 6 different items in $2^{6} - 1$ ways.

Required number of ways = $(2^{6} - 1) (2^{6} - 1) = {(2^{6} - 1)}^{2}$ = 3969

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

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