A candidate, appearing for an examination… | Answer

Subject

Quantitative Aptitude

Topic

Algebra

A candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation?
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ক)

500

খ)

280

গ)

240

ঘ)

180

ঙ)

160

Explanation

Let the number be x. The candidate was asked to find 3/14, i.e. 3/14 of x but mistakenly, he found ¾ of x and difference between these answers = 150 ¾ of x – 3/14 of x = 150

\Rightarrow \frac{3}{4} \times x\;-\frac{3}{{14}} \times x = 150

\Rightarrow \frac{{3x}}{4}-\frac{{3x}}{{14}} = 150

\Rightarrow 3x \times \left( {\frac{1}{4}-\frac{1}{{14}}} \right) = \;150

⇒3x (5/28) =150

\Rightarrow x = \frac{{150 \times 28}}{{5 \times 3}} = 280

\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 candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation?Reading

A candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation?

Explanation

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A candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation?
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