Question : Simplify the given expression. $\frac{(381+119)^2+(381-119)^2}{(381)^2+(119)^2}$
Option 1: –1
Option 2: –2
Option 3: 1
Option 4: 2
New: SSC CHSL tier 1 answer key 2024 out | 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: 2
Solution : Given: $\frac{(381+119)^2+(381-119)^2}{(381)^2+(119)^2}$ Let $a=381\ and\ b= 119$ $\frac{(a+b)^2+(a-b)^2}{(a)^2+(b)^2}$ = $\frac{(a^2+b^2+2ab)+(a^2+b^2-2ab)}{a^2+b^2}$ = $\frac{a^2+b^2+a^2+b^2}{a^2+b^2}$ = $\frac{2(a^2+b^2)}{a^2+b^2}$ = $2$ Hence, the correct answer is 2.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : Simplify the given expression. $\frac{(4.2)^3-0.008}{(4.2)^2+0.84+0.04}$
Question : Simplify the given expression $\frac{4\left[(17)^3-(7)^3\right]}{(17)^2+(7)^2+119}$
Question : Simplify the given expression: $\frac{4913+343}{289+49-119}$
Question : Simplify the given expression: $\frac{(0.25)^4+2×(0.25)^2+1–(0.25)^2}{(0.25)^2+0.25+1}$
Question : Simplify the expression: $\frac{(u–v)^{3}+(v–w)^{3}+(w–u)^{3}}{(u^{2}–v^{2})^{3}+(v^{2}–w^{2})^{3}+(w^{2}–u^{2})^{3}}$
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile