Download App

basic of algoritham — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSbasic of algoritham1 Mark
MCQ
The number ${\log _{20}}3$  lies in
  • A
    $\left( {1/4,\,\,1/3} \right)$
  • ✓
    $\left( {1/3,\,\,1/2} \right)$
  • C
    $\left( {1/2,\,3/4} \right)$
  • D
    $\left( {3/4,\,\,4/5} \right)$
✓

Answer

Correct option: B.
$\left( {1/3,\,\,1/2} \right)$
b
(b) ${20^{1/3}} < 3 < {20^{1/2}}$$ \Rightarrow $${1 \over 3} < {\log _{20}}3 < {1 \over 2}$

$\therefore {\log _{20}}3 \in \left( {{1 \over 3},\,{1 \over 2}} \right)$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from basic of algoritham→basic of algoritham — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A point on the ellipse, $4x^2 + 9y^2 = 36$, where the normal is parallel to the line, $4x -2y-5 = 0$ , is
→
If $A$ and $B$ are mutually exclusive events then:
→
The bisector of the acute angle formed between the lines $4x - 3y + 7 = 0$and $3x - 4y + 14 = 0$has the equation
→
The number of solution$(s)$ of the equation $ln(lnx)$ = $log_xe$ is -
→
If $n$ is an integer greater than $1$, then $a{ - ^n}{C_1}(a - 1){ + ^n}{C_2}(a - 2) + .... + {( - 1)^n}(a - n) = $
→
A die is thrown then find the probability of getting a number greater than 3.
→
If the normal at any point $P$ on the ellipse cuts the major and minor axes in $G$ and $g$ respectively and $C$ be the centre of the ellipse, then
→
Let sets $A$ and $B$ have $5$ elements each. Let the mean of the elements in sets $A$ and $B$ be $5$ and $8$ respectively and the variance of the elements in sets $A$ and $B$ be $12$ and $20$ respectively $A$ new set $C$ of $10$ elements is formed by subtracting $3$ from each element of $A$ and adding 2 to each element of B. Then the sum of the mean and variance of the elements of $C$ is $.......$.
→
If A and B are finite sets, then which one of the following is the correct equation?
→
If A lies in second quadrant $3\tan\text{A}+4=0,$ then the value of $2\cot\text{A}-5\cot\text{A}+\sin\text{A}$ is:
→