# powers surds and indices Model Questions & Answers, Practice Test for ssc chsl tier 1 2023

#### ssc chsl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs

Question :1

Simplify : \$^3√2+^4√64+^4√2500+^6√8\$

\$3√2+^4√{16×4}+^4√{625×4}+^6√2^3\$

= \$√2+^4√{2^4×2^2}+^4√{5^4×2^2}+^6√2^3\$

= \$3√2+2√^4 2^2+5√^4 2^2+√^6 2^3\$

= \$3√2+2√2+5√2+√2\$

= \$(3+2+5+1)√2=11√2\$

Question :2

\$(31)^{31} × (31)^{– 27}\$ = ?

? = \$(31)^{31} × (31)^{– 27}\$

? = \$(31)^{31 – 27}\$

? = \$(31)^4\$

? = \$(961)^2\$

Question :3

\$8^7 × 2^6 ÷ 8^{2.4} = 8^{?}\$

\$8^{?} = 8^7 × 2^6 ÷ 8^{2.4}\$

\$8^{?} = 8^7 × {8^2/8^{2.4}\$ or \$8^{?} = 8^{7 + 2 – 2.4}\$

\$8^{?} = 8^{6.6}\$ or ? = 6.6

Question :4

The value of \$(-1/126)^{-2/3}\$ is :

\$(-1/216)^{-2/3}=(-1/6^3)^{-2/3}=(-1/6)^{-2}=(-6)^2\$=36

Question :5

\$(4 × 4)^3 ÷ (512 ÷ 8)^4 × (32 × 8)^4 = (2 × 2)^{? + 4}\$

\$(4 × 4)^3 ÷ (512 ÷ 8)^4 × (32 × 8)^4 = (2 × 2)^{? + 4}\$

⇒\$(16)^3 ÷ (64)^4 × (256)^4 = (4)^{? + 4}\$

⇒\$(4)^{2 × 3} ÷ (4)^{3 × 4} × (4)^{4 × 4} = (4)^{? + 4}\$

⇒\$(4)^6\$ ÷\$(4)^{12} × (4)^{16} = (4)^{? + 4}\$

⇒\$(4)^{6 – 2 + 16} = (4)^{? + 4}⇒(4)^{10} = (4)^{? + 4}\$⇒10 = ? + 4

∴ ? = 6

## Recently Added Subject & Categories For All Competitive Exams

#### Top 150 Ratio and Proportion MCQ Test For IBPS SO Prelims

Most Important Aptitude Topic Ratio and Proportion Concept Based Multiple Choice Questions and Answer Practice Test PDF & Quiz Problems for IBPS SO 2023 Exam

23-Aug-2023 by Careericons

#### Top 150+ Number System Aptitude MCQ PDF For IBPS SO 2023

Quantitative Aptitude Problems on Fundamental Number System Based Multiple Choice Questions and Answer Practice Test PDF Useful for IBPS SO Prelims 2023 Exam

22-Aug-2023 by Careericons

#### 150+ Reading Comprehension MCQ PDF For IBPS SO 2023 Exams

Easy, Moderate to Hard Level English Reading Comprehension Passages Based Multiple Choice Questions and Answers Practice Test Useful for IBPS SO Prelims Exam

22-Aug-2023 by Careericons

#### 150+ Directions and Distances MCQ PDF For IBPS SO Prelims

New Directions and Distances Verbal Reasoning Based Multiple Choice Questions and Answers Practice Free Mock Test Series & Online Quiz For IBPS SO 2023 Exam.

21-Aug-2023 by Careericons