surds and indices Model Questions & Answers, Practice Test for ibps po prelims 2023

Question :6

$(7)^3 ÷ (49)^2 × 343 = 7^{(? – 2)}$

Answer: (a)

$(7)^3 ÷ (7^2)^2 × 7^3 = 7^{? – 2}$

⇒$7^{3 – 4 + 3} = 7^{? – 2}$

⇒? – 2 = 2⇒? = 4

Question :7

$(5)^2 × (25)^3 × 125 = (5)^{?}$

Answer: (d)

$5^2 × (5 × 5)^3 × 5 × 5 × 5 = 5^2 × 5^3 × 5^3 = 5^{11}$

Question :8

If a =$x^{1/3} + x^{-1/3}$ then $a^3 – 3a$ =

Answer: (c)

$ a=x^{1/3}+x^{-1/3}$

Cubing both sides, we get

$a^3=x+1/x+3(x^{1/3}+x^{-1/3})$

$a^3=x+1/x+3a$

$a^3-3a=x+x^{-1}$

Question :9

64 × 16 ÷ 256 = $(4)^{(? – 3)}$

Answer: (a)

${64 × 16}/256 = 4^{?-3} = 4 = 4^{?-3}$ = ? - 3 = 1

∴? = 3 +1 = 4

Question :10

$(6)^4 ÷ (36)^3 × 216 = 6^{(? – 5)}$

Answer: (a)

$(6)^4/(36)^3 × 216 = 6^{(?-5)} = {6^4 × 6^3}/6^6 = 6^{6-5}$

ibps po prelims 2023 IMPORTANT QUESTION AND ANSWERS

Recently Added Subject & Categories For All Competitive Exams

Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024

Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam

17-May-2024 by Careericons

Continue Reading »

Syllogism Practice Questions Answers PDF - IBPS Clerk 2024

Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam

16-May-2024 by Careericons

Continue Reading »

IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers

Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download

14-May-2024 by Careericons

Continue Reading »

New Cloze Test Questions and Answers PDF - IBPS Clerk 2024

The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF

13-May-2024 by Careericons

Continue Reading »