KVPY SB/SX Mock...

If sin x + sin y = 7/5 and cos x + cos y = 1/5, then sin (x + y) equals

Consider the cubic equation x³ + ax² + bx + c = 0, where a, b and c are real numbers. Which of the following statements is correct?

For an integer n, let Sn = {n + 1, n + 2, ... n + 18}. Which of the following is true for all n ≥ 10?

The solvent used for carrying out a Grignard reaction is

The isoelectronic pair of ions is:

For a tetrahedral complex [MCl4]^2-, the spin-only magnetic moment is 3.83 BM. The element M is:

Glycolysis is the

This cell organelle consists of two granule-like centrioles and is found in animal cells only. It helps in cell division. It is called

The natural source of Ti plasmid is

In which kind of rocks are fossils most commonly found?

Human chromosomes undergo structural changes during the cell cycle. Chromosomal structure can be best visualised if a chromosome is isolated from a cell at

DNA mutations that do not cause any functional change in the protein product are known as

A reflex action is a quick involuntary response to stimulus. Which of the following is an example of BOTH, unconditioned and conditioned reflex?

A horse has 64 chromosomes and a donkey has 62. Mules result from crossing a horse and a donkey. State which of the following is INCORRECT.

Fruit wrapped in paper ripens faster than when kept in open air because

Out of the following combinations of cell biological processes, which one is associated with embryogenesis?

The distance between two consecutive DNA base pairs is 0.34 nm. If the length of a chromosome is 1 mm, the number of base pairs in the chromosome is approximately

If the sequence of bases in DNA is 5'-ATGTATCTCAAT-3', then the sequence of bases in its transcript will be

Carbon dioxide in the blood is mostly carried

Modern evolutionary theory consists of the concepts of Darwin modified by knowledge concerning

Crossing over occurs at which of the following stages of meiosis I?

If DNA codons are ATG GAA, then insertion of thymine after the first codon results in

According to Mendel, ..................................... segregate and ........................... assort independently.

Stroke could be prevented/treated with

In a large isolated population, alleles p and q at a locus are at Hardy-Weinberg equilibrium. The frequencies are p = 0.6 and q = 0.4. The proportion of the heterogeneous genotype in the population is

A stream of photons having energy 3 eV each impinges on a potassium surface. The work function of potassium is 2.3 eV. The emerging photo-electrons are slowed down by a copper plate placed 5 mm away. If the potential difference between the two metal plates is 1 V, then the maximum distance the electrons can move away from the potassium surface before being turned back is

The amount of Na₂S₂O₃.5H₂O required to completely reduce 100 mL of 0.25 N iodine solution is

Gregor Mendel showed that unit factors exist in pairs and exhibit a dominant-recessive relationship. These unit factors, in modern terminology, are called

Greatest proportion of photosynthesis in the world is carried out by

In cattle, the coat colours red and white are two dominant traits which express equally in F1 to produce roan (red and white colours in equal proportion). If F1 progeny are self-bred, the resulting progeny in F2 will have phenotypic ratio (red : roan : white)

The following sequence contains the open reading frame of polypeptide. How many amino acids will the polypeptide consist of?

5' AGCATATGATCTCGTTTCTGCTTTGAACT-3'

The amino acid sequences of a bacterial protein and a human protein carrying out similar functions are found to be 60% identical. However, the DNA sequences of the genes coding for these proteins are only 45% identical. This is possible because

Although blood flows through large arteries at high pressure, when the blood reaches small capillaries the pressure decreases because

Nocturnal animals have retinas that contain

From an early amphibian embryo, the cells that would give rise to skin in adults were transplanted into the developing brain region of another embryo. The transplanted cells developed into brain tissue in the recipient embryo. What do you infer from this experiment?

In some species, individuals forego reproduction and help bring up another individual's offspring. Such altruistic behaviour cannot be explained by which of the following?