List of practice Questions

If $\displaystyle \int_{1}^{k} (3x^2 + 2x + 1)\,dx = 11$, then $k =$
Evaluate \[ \int \frac{5^x}{\sqrt{5^{-2x}} - 5^{2x}}\,dx \]
Which of the following is NOT an antiseptic?
In meter bridge experiment, null point was obtained at a distance \( f \) from left end. The values of resistances in the left and right gaps are doubled and then interchanged. The new position of null point is
Let \( A = \{ 1, 2, 5 \} \), \( B = \{ 1, 2, 3, 4 \} \), and \( C = \{ 2, 5, 6 \} \) be the three sets. If \( D = [A \times (B \cap C)] \cap [(A - B) \times C] \), then which of the following is true?
In an examination, 82% of students passed in Mathematics, 70% passed in Science and 13% failed in both the subjects. If 299 students passed in both the subjects, then the total number of students who appeared in the examination is:
The number of elements in sets X and Y are $p$ and $q$ respectively. The total number of subsets of X is 112 more than that of Y. What is the value of $(2p - 3q)$?
Let \( U \) be the universal set, and \( A, B, C \) are the sets such that \( C \subset A \) and \( B \cap C = \emptyset \). If \( n(U) = 105 \), \( n(A) = 58 \), \( n(B) = 50 \), \( n(A \cap B) = 20 \) and \( n(A \cup C) = 32 \), then \( n(A \cup B) - n(B \cap C) \) is:
Let A = \(\{2, 3, 4, 8, 10\}\), B = \(\{3, 4, 5, 10, 12\}\), and C = \(\{4, 5, 6, 12, 14\}\) be the three sets. If $D = ((A \cup B) \cap (A \cup C)) - (B \cap C)$, then the number of elements in D is:
In a heterozygous tall pea plant, the possibility of T gamete fertilizing T gamete during its selfing is ___________%.

The variation in temperatures in the three steps of PCR cycle is ___________, ___________ and ___________ respectively.

Presence of which hormone in urine confirms pregnancy?
Water reaches to the top of trees of more than 100 feet against gravity, which one of the following is the main phenomenon responsible for this?
Genome of a cell can be manipulated by ______.
Chromosomal mechanism of sex determination in human beings is called ______.
A narrow dark line seen in isotropic band of myofibril of a striated muscle fibre is called ______.
Match Column-I and Column-II considering the inheritance pattern and ratio obtained in them.
Column-I Column-II
(a) Pleiotropy (sickle cell anaemia) (i) 16:15:20:15:6:1
(b) Polygenic inheritance (wheat kernel) (ii) 1:2:1
(c) Polygenic inheritance (human skin color) (iii) 1:4:6:4:1
(d) Co-dominance (coat colour in cattle) (iv) 2:1
All of the following animals are uricotelic EXCEPT ______.
Match the Column-I with Column-II and select the correct option.
Column-I Column-II
(a) DNA fragmentation (i) ssDNA gets embedded in nylon membrane
(b) Electrophoresis (ii) Sample DNA and probe DNA form double stranded DNA
(c) Southern blotting (iii) DNA fragments move to positive pole
(d) Hybridization (iv) Fragments of DNA with variable length are formed
Blood pressure will be maximum in ______.
During glycolysis, cleavage of fructose 1,6-diphosphate occurs in presence of enzyme ______.
Griffith in his experiment with {Diplococcus pneumoniae discovered ______}.
Study of genes and genomes by DNA sequencing and its related analysis is called ______.
The sum total of genes of all individuals of an interbreeding population is called ______.

Considering the following chemical equation, guess what could be the nature of respiratory substrate?  

$2\,\mathrm{C}_{51}\mathrm{H}_{98}\mathrm{O}_{6} + 145\,\mathrm{O}_{2} \rightarrow 102\,\mathrm{CO}_{2} + 98\,\mathrm{H}_{2}\mathrm{O} + \text{Energy}$