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Q:

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

A) 18%	B) 28%
C) 38%	D) 48%

Answer & Explanation Answer: B) 28%

Explanation:

Let original length = x and original breadth = y.

Decrease in area = xy - $(\frac{80}{100} x \times \frac{90}{100} y)$ = (7/25)xy

Decrease % = (7/25)xy * (1/xy) * 100 = 28%

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

The percentage increase in the area of a rectangle, if each of its sides is increased by 20%

A) 22%	B) 33%
C) 44%	D) 55%

Answer & Explanation Answer: C) 44%

Explanation:

Let original length = x metres and original breadth = y metres.

Original area = xy sq.m

Increased length = $\frac{120}{100}$ and Increased breadth = $\frac{120}{100}$

New area = $\frac{120}{100} x * \frac{120}{100} y = \frac{36}{25} x y m^{2}$

The difference between the Original area and New area is:

$\frac{36}{25} x y - x y$

$\frac{11}{25} x y$ Increase % = $(\frac{\frac{11}{25} x y}{x y}) * 100$ = 44%

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

In how many ways can you choose one or more of 12 different candies?

A) 4054	B) 4050
C) 4095	D) 4059

Answer & Explanation Answer: C) 4095

Explanation:

Each candy can be dealt with in two ways.It can be chosen or not chosen.This will give 2 possibilites for the first candy, 2 for the second, and so on.by multiplying the cases together we get $2^{12}$ . Since the case of no candy being selected is not an option, we have to subtract 1 from our answer.

Therefore,there are $2^{12}$ - 1 = 4095 ways of selecting one or more candies

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Filed Under: Permutations and Combinations

Q:

If each of the 8 teams in a league must play each other three times,how many games will be played?

A) 72	B) 84
C) 36	D) 79

Answer & Explanation Answer: B) 84

Explanation:

Since,each member of the league must meet every other member of the league.If they only played each other once,there would be $8 C_{2}$ games.Since,each pairing of teams will occur three times,the answer will be triple.

Therfore, $8 C_{2} * 3$ =84

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Filed Under: Permutations and Combinations

Q:

A research team of 6 people is to be formed from 10 chemists,5 politicians, 8 economists and 15 biologists.How many teams have atleast 5 chemists?

A) 7350	B) 6400
C) 6379	D) 7266

Answer & Explanation Answer: D) 7266

Explanation:

$10 C_{5} * 28 C_{1} * 10 C_{6} = 7266$

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Filed Under: Permutations and Combinations

Q:

A research team of 6 people is to be formed from 10 chemists,5 politicians, 8 economists and 15 biologists.How many teams have atleast 5 chemists?

A) 7350	B) 6400
C) 6379	D) 7266

Answer & Explanation Answer: D) 7266

Explanation:

10C5 x 28C1 x 10C6 = 7266

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

Which among the following keys are used to identify each row of the table uniquely?

A) Primary key	B) Unique key
C) Partial key	D) None of the above

Answer & Explanation Answer: A) Primary key

Explanation:

Primary key helps us to identify a row uniquely in a relation

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Filed Under: Oracle Certification
Job Role: Database Administration

Q:

A school committee of 5 is to be formed from 12 students.How many committees can be formed if John must be on the committee?

A) 11P4	B) 11C4
C) 11P5	D) 11C5

Answer & Explanation Answer: B) 11C4

Explanation:

If John must be on the committee,we have 11 students remaining,out of which we choose 4. So, $11 C_{4}$

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Filed Under: Permutations and Combinations

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