Question : If $x, y,$ and $z$ are three sums of money such that y is the simple interest on $x$ and $z$ is the simple interest on $y$ for the same time and at the same rate of interest, then we have:
Option 1: $z^{2}=xy$
Option 2: $xyz=1$
Option 3: $x^{2}=yz$
Option 4: $y^{2}=zx$
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $y^{2}=zx$
Solution : Let the time be $t$ years and the rate of interest be $R$. We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ According to the question, Case(I): $y=\frac{x\times R\times t}{100}$-------------(i) Case(II): $z=\frac{y\times R\times t}{100}$------------(ii) By dividing equation (i) by equation (ii), we get, $\frac{y}{z}=\frac{x\times R\times t}{y\times R\times t}$ $⇒y^{2}=zx$ Hence, the correct answer is $y^{2}=zx$.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : If $xy+yz+zx=0$, then $(\frac{1}{x^2–yz}+\frac{1}{y^2–zx}+\frac{1}{z^2–xy})$$(x,y,z \neq 0)$ is equal to:
Question : If $\small x+y+z=6$ and $xy+yz+zx=10$, then the value of $x^{3}+y^{3}+z^{3}-3xyz$ is:
Question : Simplify the given expression. $\frac{x^3+y^3+z^3-3 x y z}{(x-y)^2+(y-z)^2+(z-x)^2}$
Question : If $x : y$ is the ratio of two whole numbers and $z$ is their HCF, then the LCM of those two numbers is:
Question : x, y, and z are 3 values, such that x + y = 12, y + z = 17 and z + x = 19. What is the average of x, y, and z?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile