Question : The value of $\frac{27 \times(0.25)^3+125(0.05)^3}{(0.75)^2-0.25 \times 0.5}$ is :
Option 1: 1
Option 2: 0.75
Option 3: 0.25
Option 4: 0.5
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 1
Solution : Given expression, $\frac{27 \times(0.25)^3+125(0.05)^3}{(0.75)^2-0.25 \times 0.5}$ = $\frac{27×(0.25)^3+(5×0.05)^3}{(0.75)^2−0.25×0.5}$ = $\frac{27×(0.25)^3+(0.25)^3}{(0.25×3)^2−0.25×0.5}$ = $\frac{(0.25)^3×(27+1)}{(0.25)^2×9−0.25×0.5}$ = $\frac{(0.25)^3×(28)}{(0.25)×[(9×0.25)−0.5]}$ = $\frac{(0.25)^3×(28)}{(0.25)×[2.25−0.5]}$ = $\frac{0.25×0.25×28}{1.75}$ = $\frac{0.25×28}{7}$ = 1 Hence, the correct answer is 1.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : Simplify the following. $\frac{0.01 \times 0.01 \times 0.01+0.003 \times 0.003 \times 0.003}{0.05 \times 0.05 – 0.015 \times 0.05 + 0.015 \times 0.015}$
Question : What is the value of $\frac{\frac{1}{3}+\frac{1}{3}\times\frac{1}{3}}{\frac{1}{3}\times\frac{1}{3}+\frac{1}{3}}$?
Question : What is the value of S $=\frac{1}{1×3×5}+\frac{1}{1×4}+\frac{1}{3×5×7}+\frac{1}{4×7}+\frac{1}{5×7×9}+\frac{1}{7×10}+....$ Up to 20 terms, then what is the value of S?
Question : If $x\left(3-\frac{2}{x}\right)=\frac{3}{x}$, then the value of $x^3-\frac{1}{x^3}$ is equal to:
Question : The value of $4 \div 12$ of $[3 \div 4$ of $\{(4-2) \times 6 \div 2\}]-2 \times 6 \div 8+3$ is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile