Two hackers planned to hack a bank accoun… | Answer | TuitionWave

Subject

Quantitative Aptitude

Topic

Algebra

Two hackers planned to hack a bank account which had debit card pin code in such a format that if a fraction could be made using the first two digits as numerator and last two digits as denominator, then if the numerator of the fraction was increased by 200% and the denominator by 300%, the fraction becomes 12/15. What was the pin of the debit card?
Reading

ক)

1889

খ)

1660

গ)

4850

ঘ)

1890

ঙ)

1615

Explanation

n percent (%) of a number x =

x \times \frac{n}{{100}}

Suppose the original fraction to be x/y. Then,

\frac{{x+x \times \frac{{200}}{{100}}}}{{y+y \times \frac{{300}}{{100}}}} = \frac{{12}}{{15}}

\Rightarrow \frac{x}{y} = \frac{{12 \times 4}}{{15 \times 3}}

\Rightarrow \frac{x}{y} = \frac{{16}}{{15}}

∴ Debit card pin is 1615

\frac{a}{3} = \frac{b}{4} = \frac{c}{7}

then what would be the value of

\frac{{a + b + c}}{a}

?Multiplication and difference of two numbers are 93 and 28 respectively. Find the difference of reciprocals of the numbers.if

{P^2} + {1 \over {{P^2}}} = 7

, then find the value of

{P^2} - {1 \over {{P^2}}}.

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