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basic of algoritham MATHS - basic of algoritham

Gujarat Board (GSEB) - STD 11 Science - MATHS (GSEB - English Medium). 174 questions in this chapter.

Question types

basic of algoritham question types

174 questions across 1 question group — pick any mix to generate a MATHS paper with step-by-step answer keys.

174
Questions
1
Question groups
5
Question types
Sample Questions

basic of algoritham questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
If ${\log _7}2 = m,$ then ${\log _{49}}28$ is equal to
  • A
    $2\,(1 + 2m)$
  • ✓
    ${{1 + 2m} \over 2}$
  • C
    ${2 \over {1 + 2m}}$
  • D
    $1 + m$

Answer: B.

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Q 2MCQ1 Mark
If ${\log _e}\left( {{{a + b} \over 2}} \right) = {1 \over 2}({\log _e}a + {\log _e}b)$, then relation between $a$ and $b$ will be
  • ✓
    $a = b$
  • B
    $a = {b \over 2}$
  • C
    $2a = b$
  • D
    $a = {b \over 3}$

Answer: A.

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Q 3MCQ1 Mark
The value of ${81^{(1/{{\log }_5}3)}} + {27^{{{\log }_{_9}}36}} + {3^{4/{{\log }_{_7}}9}}$ is equal to
  • A
    $49$
  • B
    $625$
  • C
    $216$
  • ✓
    $890$

Answer: D.

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Q 4MCQ1 Mark
If ${\log _4}5 = a$ and ${\log _5}6 = b,$ then ${\log _3}2$ is equal to
  • A
    ${1 \over {2a + 1}}$
  • B
    ${1 \over {2b + 1}}$
  • C
    $2ab + 1$
  • ✓
    ${1 \over {2ab - 1}}$

Answer: D.

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Q 5MCQ1 Mark
If ${\log _k}x.\,{\log _5}k = {\log _x}5,k \ne 1,k > 0,$ then $x$ is equal to
  • A
    $k$
  • B
    ${1 \over 5}$
  • C
    $5$
  • ✓
    $(b)$ and $(c)$ both

Answer: D.

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