Question : Simplify: $\frac{(3.321)^{3}+(2.681)^{3}+(1.245)^{3}–3×3.321×2.681×1.245}{(3.321)^{2}+(2.681)^{2}+(1.245)^{2}–(3.321×2.681)–(2.681×1.245)–(1.245×3.321)}=\ ?$
Option 1: 6.125
Option 2: 8.645
Option 3: 7.247
Option 4: 10.245
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: 7.247
Solution : Given: $\frac{(3.321)^{3}+(2.681)^{3}+(1.245)^{3}–3×3.321×2.681×1.245}{(3.321)^{2}+(2.681)^{2}+(1.245)^{2}–(3.321×2.681)–(2.681×1.245)–(1.245×3.321)}$ We can say that this expression is in form of $\frac{a^{3}+b^{3}+c^{3}–3abc}{a^{2}+b^{2}+c^{2}–ab–bc–ca}=a+b+c$ Where, $a=3.321$, $b=2.681$, $c=1.245$ Then, $a+b+c=3.321+2.681+1.245=7.247$ Hence, the correct answer is 7.247.
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 expression: $\frac{143 \times 143+143 \times 139+139 \times 139}{143 \times 143 \times 143-139 \times 139 \times 139}$
Question : Simplify the given expression. $\frac{(4.2)^3-0.008}{(4.2)^2+0.84+0.04}$
Question : Simplify: $\sqrt{\frac{4\frac{1}{7}-2\frac{1}{4}}{3\frac{1}{2}+1\frac{1}{7}}+\frac{2}{2+\frac{1}{2+\frac{1}{5-\frac{1}{5}}}}}$
Question : Simplify: $\frac{(612+388)^2+(612-388)^2}{(612 \times 612)+(388 \times 388)}=?$
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