Question : What is the simplified value of $\frac{33}{(6–\sqrt3)}$?
Option 1: $6+\sqrt3$
Option 2: $6-\sqrt3$
Option 3: $12+\sqrt3$
Option 4: $12-\sqrt3$
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $6+\sqrt3$
Solution : $\frac{33}{(6–\sqrt3)}$ $=\frac{33}{(6–\sqrt3)}×\frac{(6+\sqrt3)}{(6+\sqrt3)}$ $=\frac{33(6+\sqrt3)}{33}$ $=(6+\sqrt3)$ Hence, the correct answer is $(6+\sqrt3)$.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : What is the value of $\frac{44–13+17–21+45–24}{12 \text { of } 4–3 \times 4–6 \times 2}$?
Option 1: 1
Option 2: 2
Option 3: –2
Option 4: –1
Question : What is the value of $\frac{6}{13}[\frac{29}{12}+\frac{4}{18}(\frac{16}{12}+\frac{18}{9})–\frac{46}{15} \div \frac{23}{45}]$?
Option 1: $\frac{–312}{137}$
Option 2: $\frac{–307}{234}$
Option 3: $\frac{–294}{117}$
Option 4: $\frac{–207}{119}$
Question : What is the value of $\frac{99 \div 33+44 \div 11 \text { of } 4}{24 \div 12–4+3}$?
Option 1: 6
Option 2: 4
Option 3: 1
Option 4: 8
Question : What is the value of $\frac{11 \times 11-24 \times 6 ~of~ 2+12 \times 12}{4 \times 5+6 \times 2 \div 4}$ ?
Option 2: –1
Option 3: 2
Option 4: –2
Question : If $A=\frac{2}{3} \div \frac{4}{9}, B=\frac{6}{11} \times\frac{33}{12}$ and $C=\frac{1}{3} \times \frac{9}{2}$, then what is the value of $A \times B-C$?
Option 1: $\frac{3}{8}$
Option 2: $\frac{3}{2}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{3}{16}$
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile