A boy was asked to find 8/9th of a fracti… | Answer

Subject

Quantitative Aptitude

Topic

Algebra

A boy was asked to find 8/9th of a fraction. He made a mistake of dividing the fraction by 8/9 and so got an answer which exceeds the correct answer by 17/54. Find the original fraction?
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ক)

2/3

খ)

3/4

গ)

4/3

ঘ)

3/5

ঙ)

None of these

Explanation

Let the fraction be a/b We consider fraction a/b = x A boy was asked to find 8/9 th of a fraction. He made a mistake of dividing the fraction by 8/9 and so got an answer which exceeds the correct answer by 17/54

\Rightarrow \frac{x}{{\frac{8}{9}}}\;-\frac{8}{9} \times x\; = \frac{{17}}{{54}}

⇒ 9x/8 – 8x/9 = 17/54

\begin{array}{l} \Rightarrow \;\frac{{9x \times 9 - 8x \times 8}}{{72}} = \;\frac{{17}}{{54}}\\ \Rightarrow {\rm{\;}}\frac{{81x - 64x}}{{72}} = \frac{{17}}{{54}} \end{array}

⇒ 17x/72 = 17/54

\Rightarrow {\rm{\;x\;}} = \frac{{17}}{{54}}\; \times \frac{{72}}{{17}}

⇒ x = 4/3 So, our fraction a/b = x = 4/3

\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}}}.

In following question, two equations are given, you have to solve them and choose the correct option: x2– 3x – 4 = 0, y2– 4 = 0 In following question, two equations are given, you have to solve them and chose the correct option: x2+ 11x + 30 = 0, y2+ 7y + 12 = 0 In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘l’ and ‘m’ and mark correct answer. I. (125)1/3l – (1331)1/3= 4 × (729)1/6+ (1024)1/10II. (m)2– (15625)1/3= 0 Direction: In the following question two equations numbered I and II are given. You have to solve both the equations and give answers:I: x - √121 = 0 II: y2- 121 = 0 The number of solutions of x2+ 4|x| + 5 = 0 is

A boy was asked to find 8/9th of a fraction. He made a mistake of dividing the fraction by 8/9 and so got an answer which exceeds the correct answer by 17/54. Find the original fraction?Reading

A boy was asked to find 8/9th of a fraction. He made a mistake of dividing the fraction by 8/9 and so got an answer which exceeds the correct answer by 17/54. Find the original fraction?

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A boy was asked to find 8/9th of a fraction. He made a mistake of dividing the fraction by 8/9 and so got an answer which exceeds the correct answer by 17/54. Find the original fraction?
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