Question : Let $x, y, z$ be fractions such that $x<y<z$. If $z$ is divided by $x$, the result is $\frac{5}{2}$, which exceeds $y$ by $\frac{7}{4}$. If $x+y+z=1 \frac{11}{12}$, then the ratio of $(z-x):(y-x)$ is:
Option 1: 6 : 5
Option 2: 9 : 5
Option 3: 5 : 6
Option 4: 5 : 9
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 6 : 5
Solution : Given that $z$ divided by $x$ is $\frac{5}{2}$. $⇒z = \frac{5}{2}x$ Also, given that $\frac{5}{2}$ exceeds $y$ by $\frac{7}{4}$. $⇒y = \frac{5}{2} - \frac{7}{4} = \frac{3}{4}$ Substituting $y = \frac{3}{4}$ and $z = \frac{5}{2}x$ into the equation $x + y + z = 1 \frac{11}{12}$. $⇒x + \frac{3}{4} + \frac{5}{2}x = 1 \frac{11}{12}$ $⇒x + \frac{3}{4} + \frac{5}{2}x = \frac{23}{12}$ $⇒42x+9=23$ $⇒x = \frac{1}{3}$ Substituting $x = \frac{1}{3}$ into the equation $z = \frac{5}{2}x$, $⇒z = \frac{5}{6}$ Therefore, the ratio of $(z - x)$ to $(y - x)$ = $\frac{\frac{5}{6} - \frac{1}{3}}{\frac{3}{4} - \frac{1}{3}} = \frac{6}{5}$ Hence, the correct answer is 6 : 5.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : Three fractions $x, y$ and $z$ are such that $x > y > z$. When the smallest of them is divided by the greatest, the result is $\frac{9}{16}$, which exceeds $y$ by 0.0625. If $x+y+z=2 \frac{3}{12}$, then what is the value of $x + z$?
Question : The value of $\frac{(x-y)^3+(y-z)^3+(z-x)^3}{6(x-y)(y-z)(z-x)}$, where $x \neq y \neq z$, is equal to:
Question : $\text { If } x^2+y^2+z^2=x y+y z+z x \text { and } x=1 \text {, then find the value of } \frac{10 x^4+5 y^4+7 z^4}{13 x^2 y^2+6 y^2 z^2+3 z^2 x^2}$.
Question : A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45 : 42 : 28, then x : y : z =?
Question : If $\frac{11-13x}{x}+\frac{11-13y}{y}+\frac{11-13z}{z}=5$, then what is the value of $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile