AB is the diameter of a circle. The chord CD is perpendicular to AB intersecting it at P. If CP = 2 and PB = 1, the radius of the circle is :

A shopkeeper purchases a product for Rs.100 and sells it making a profit of 10 %. The customer resells it to the same shopkeeper incurring a loss of 10 %. In these dealings the shopkeeper makes :

The product of the perimeter of a triangle, the radius of its in-circle, and a number gives the area of the triangle. The number is :

Starting from a point A you fly one mile south, then one mile east, then one mile north which brings you back to point A. Which of the following MUST be true ?

Three boxes are coloured red, blue and green and so are three balls. In how many ways can one put the balls one in each box such that no ball goes into the box of its own colour ?

There are two buckets A and B. Initially A has 2 litres of water and B is empty. At every hour 1 litre of water is transferred from A to B followed by returning 1/2 litre back to A from B half an hour later. The earliest A will get empty in :

Density of a rice grain is 1.5g/cc and bulk density of rice heap is 0.80 g/cc. If a 1 litre container is completely filled with rice, what will be the approximate volume of pore space in the container ?

What is the minimum number of moves required to transform figure 1 to figure 2 ? A move is defined as removing a coin and placing it such that it touches two other coins in its new position .

It takes 5 days for a steamboat to travel from A to B along a river. It takes 7 days to return from B to A. How many days will it take for a raft to drift from A to B (assuming all speed are constant) ?

How many times starting at 1: 00 pm would the minute and hour hands of a clock make an angle of 40° with each other in the next 6 hours ?

The graph shows cumulative frequency, percentage of research scholars and the number of papers published by them. Which of the following statements is true ?

The random errors associated with the measurement of P and Q are 10 % and 2%. respectively. What is the maximum percentage random error in P/Q ?

If a person travels x % faster than normal, he reaches y minutes earlier than normal. What is his normal time of travel ?

Pre - Ph.D exam score of 10 students are plotted against their M.Sc. marks. Which of the following is true ?

What is the average value of y for the range of x shown in the following plot ?

A fair die was thrown three times and the outcome was repeatedly six. If the die is thrown again what is the probability of getting six ?

What is the volume of soil in an open pit of size 2 m × 2 m × 10 cm ?

If a plant with green leaves is kept in a dark room with only green light on, which one of the following would we observe ?

The distance from city P to city Q is 27 km. A and B start walking from P towards Q at speeds of 5 km/hr and 7 km/hr, respectively. B reaches Q, returns immediately, and meets A at R. What is the distance between Pand R ? (assume all three cities to be in one straight line)

A floor of size 13 x 24 is to be paved using square tiles only. What is the smallest number of tiles needed to do this ?

Following statements are made about uncompetitive inhibition of an enzyme :
(a) Uncompetitive inhibitor binds to both free enzyme as well as an enzyme - substrate complex.
(b) Addition of uncompetitive inhibitor lowers the V_max of the reaction.
(c) Apparent K_M of the enzyme is lowered.
(d) Apparent K_M of the enzyme remains unchanged.
Which one of the following option represents the correct combination of the statments ?

Following are the pKa's of the ionizable groups in lysine :
pKa₁ = 2.16 (α – carboxylic group)
pKa₂ = 9.06(α – amino group)
pKa₃ = 10.54(ε – amino group)
Which one of the following options represents the pl of lysine ?

The enzyme alkaline phosphatase was tested for its catalytic activity using the substrate para-nitrophenylphosphate. The K_M obtained was 10 mM and V_max was 100 µ mol/min. Which one of the following options represents the initial velocity of the reaction at a substrate concentration of 10 mM?

How many hydrogen bonds involving the backbone CO and NH can be observed in an α - helix consisting, of 15 amino acid residues ?

Progression across Gl/S boundary followed by entry into S-phase is promoted by the activation of which one of the following protein complexes?

In eukaryotic cells, covalently attached lipids help to anchor some water soluble proteins to the plasma membrane. One group of cytosolic proteins are anchored to the cytosolic face of membrane by a fatty acyl group (e.g. myristate or palmitate). These groups are generally covalently attached to which amino acids present at the N-terminus of the polypeptide chain ?

The movement of proteins bigger than 50 kDa across the nuclear envelope requires :

Iron - sulphur clusters [Fe - S] are the key prosthetic groups that carry electrons in all of the below EXCEPT :

In bacteria many of the tRNA genes do not contain the CCA sequence found at the 3' end of tRNA. In this context which one of the following statements represents the correct explanation ?

Some cells possess peptides which contain D-form of amino acids. How do they arise ?

All of the following statements about bacterial transcription termination are true EXCEPT :

Which one of the following proteins is essential for both the initiation of DNA replication as well as the continued advance of the replication fork ?

Which one of the following combinations represents the major protein or protein complex involved in chromatin condensation in yeast and human, respectively ?

Which of the following is the causative agent of filariasis ?

The cytoplasmic domain of the receptor of which of the following proteins does NOT function as tyrosine kinase ?

Tumors are generally classified by :

A breakthrough in cancer therapy is expected where T - cells are taken from a patient are modified in the laboratory to attack cancer cells before re - infusion in the patient. These T - cells are called:

Which one of the following statements with respect to development in amphibians is correct ?

During normal development of sea urchin, b - catenin accumulates predominantly in the micromeres, which are fated to become endoderm and mesoderm. If GSK - 3 is blocked in the developing embryo:

In which of the following stages of Arabidopsis embryogenesis do the visible distinctions between the adaxial and abaxial tissues of the cotyledons become initially apparent ?

In a transplantation experiment, the area of presumptive ectoderm from an early frog gastrula was transplanted to a region of the newt gastrula destined to become parts of the mouth. The resulting salamander larvae had frog like mouth parts (frog tadpole suckers) instead of balancers as observed during development of wild type newt embryo. This is an example of :

Which of the following ' R ' gene products do not contain NBS - LRR domain ?

Photochemically generated ATP is consumed in which one of the following phases of Calvin- Benson cycle ?

Dirigent proteins predominantly play an important role in biosynthesis of :

Which one of the following is used in organification of tyrosine residues in thyroglobulin protein, during thyroid hormone biosynthesis ?

The dark current in retina is due to :

Which one of the following is not present in the filtration slit diaphragm ?

DNA was isolated from a strain in bacterium with genotype a⁺ b⁺ c⁺ d⁺ e⁺ and transformed into a bacterial strain a^– b^– c^–, d– e^–. The transformants were tested for the presence of the donated genes.
The cotransformed genes were found as follows: a⁺ and b⁺ ; c⁺ and e⁺ ; d⁺ and c⁺ ; b⁺ and d⁺; What is the order of genes on the bacterial chromosome ?

A fly with apricot coloured eye was crossed with a sepia eyed fly of opposite sex. In F1 all flies were wild type. The genes responsible for the two phenotypes were :

Human polydactyly traits having extra fingers or toes are caused by a dominant allele. In a screening it was found that out of 42 individuals having an allele for polydactyly, only 38 of them were polydactylus. Which of the following is the correct interpretation of the observation ?