List of practice Questions

The sine of the angle between the straight line $\frac{x - 2}{3} = \frac{y - 3}{4} = \frac{4-z}{5}$ and the plane $2x - 2y + z = 5$ is:

The equation $xy = 0$ in three-dimensional space represents:
The plane containing the point $(3, 2, 0)$ and the line $\frac{x - 3}{1} = \frac{y - 6}{5} = \frac{z - 4}{4}$ is
Corner points of the feasible region for an LPP are $(0, 2), (3, 0), (6, 0), (6, 8)$ and $(0, 5)$. Let $z = 4x + 6y$ be the objective function. The minimum value of $z$ occurs at:
A die is thrown 10 times. The probability that an odd number will come up at least once is:
A random variable $X$ has the following probability distribution: \[ \begin{array}{|c|c|c|c|} \hline X & 0 & 1 & 2 \\ \hline P(X) & \frac{25}{36} & k & \frac{1}{36} \\ \hline \end{array} \] If the mean of the random variable $X$ is $\frac{1}{3}$, then the variance is:
If a random variable $X$ follows the binomial distribution with parameters $n = 5$, $p$, and $P(X = 2) = 9P(X = 3)$, then $p$ is equal to:
From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable $X$ denote the number of defective items in the sample. Let items in the sample be drawn one by one without replacement. If the variance of $X$ is $\frac{m}{n}$, where $\gcd(m, n) = 1$, then $n - m$ is equal to ________.
Which among the following is used to treat Emphysema?
Homeostasis is a condition where the organisms:
Which of the following is not a parasitic adaptation?
DNA polymerase of Thermus aquaticus is:
If a recombinant DNA bearing a gene for resistance to Ampicillin is transferred into E.coli cells, host cells become transformed into Ampicillin-resistant cells. What happens when these E.coli are grown on a medium containing Ampicillin?
Which of the following is based on the principle of antigen-antibody interaction?
A strict protection of biodiversity hotspots could reduce the ongoing mass extinction by almost:
Identify the incorrect match with respect to recently extinct animals and their place of extinction according to the IUCN Red List:
According to the hypothesis proposed by environmental biologists, a relatively constant environment in tropics promotes:
In the prevention of air pollution, the role of a scrubber is to remove:
Match List-I with List-II and choose the correct answer.
List-IList-II
1Nitrogen rich fertilizerspOzone depletion
2Carbon dioxideqEutrophication
3Carbon monoxiderGreenhouse effect
4CFC’ssAir pollutant
Following representations P, Q, and R denote few steps of Griffith Experiment. Identify the correct one(s).
P. R strain → Inject into mice → Mice die
Q. S strain (Heat killed) → Inject into mice → Mice die
R. R strain → Inject into mice → Mice live
In tRNA, the region that binds with mRNA is:
The mRNA has Untranslated Regions (UTRs):
In a structural gene, the template DNA strand has nucleotide sequences: 3’ ATGCATGCATGCATGC 5’. Find the correct and complementary nucleotide sequence on the coding strand.

Read the following statements: Statement I: All vertebrates develop a row of vestigial gill slits during embryonic stage. 
Statement II: Embryos always pass through the adult stages of other animals.

Which of the following exhibits a haplodiplontic lifecycle?