Mr. Arun is on tour and he has Rs. 360 fo… | Answer

Subject

Quantitative Aptitude

Topic

Algebra

Mr. Arun is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. For how many days is Mr. Arun out on tour?
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None of these

Explanation

Let Mr. Arun is on tour for x days. Then, According to the question, Difference in expenses per day for original and extended tour = 3

\frac{{360}}{x} - \frac{{360}}{{x + 4}} = 3

\Rightarrow \frac{1}{x} - \frac{1}{{x + 4}} = \frac{3}{{360}} = \frac{1}{{120}}

\Rightarrow \frac{{x + 4 - x}}{{x\left( {x + 4} \right)}} = \frac{1}{{120}}

⇒x(x+4) = 4×120=480 ⇒ x 2 + 4x – 480 = 0 ⇒ x 2 + 24x – 20x – 480 = 0 ⇒ x(x + 24) – 20(x + 24) = 0 ⇒ (x + 24) (x - 20) = 0 ∴ x = 20 (we ignore negative value of x, that is, - 24 because days cannot be negative) Hence, the required answer is 20,

\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

Mr. Arun is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. For how many days is Mr. Arun out on tour?Reading

Mr. Arun is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. For how many days is Mr. Arun out on tour?

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Mr. Arun is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. For how many days is Mr. Arun out on tour?
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