Why did Mendel's work remain unrecognized for a long time?

How many sentences are correct?
$(i)$ Every gene contains the information to express a particular trait.
$(ii)$ Gene responsible for $\beta$-thalassemia is present on the $11^{th}$ pair of autosomal chromosomes.
$(iii)$ Mendel's approach of using mathematics to explain biological phenomena was totally new and unacceptable to many of the biologists of his time.

Match the terms in Column $I$ with its phenotypic ratio in Column $II$ correctly and choose the correct option.

Column $I$	Column $II$
$i$. Monohybrid test cross	$a$. $1:2:1$
$ii$. Incomplete dominance	$b$. $1:2$
$iii$. Law of independent Assortment	$c$. $1:1$
$iv$. Sickle Cell Anaemia	$d$. $9:3:3:1$

In a plant,three dominant genes $A$,$B$,and $C$ must be expressed together to produce purple flowers. If any one or all three genes are in the recessive state,the flowers become colorless.
Raw material $\xrightarrow{A} X \xrightarrow{B} Y \xrightarrow{C} Z$ (Pigment)
$A$ purple-flowered plant with genotype $AABBCC$ is crossed with a colorless plant with genotype $aabbcc$. This results in $F_1$ hybrid purple offspring. What will be the proportion of purple-flowered plants in the $F_2$ generation produced by selfing the $F_1$ generation?

Choose the correct sequence of True $(T)$ and False $(F)$ statements:
$(i)$ Queen Elizabeth shows a number of haemophilic descendants.
$(ii)$ Variation in blood group prevalences is due to incomplete dominance.
$(iii)$ Drosophila has three pairs of autosomal chromosomes.
$(iv)$ In birds,the female is heterozygous.

Select the incorrect statement$(s)$: