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

In how many distinguishable ways can the letters of the word CHANCE be arranged?

Find out the missing pattern.

Seeds when soaked in water gain about 20% by weight and 10% by volume. By what factor does the density increase?

Retarding frictional force f on a moving ball, is proportional to it velocity, V. Two identical balls roll down identical slopes (A & B) from different heightsheights. Compare the retarding forces and the velocities of the balls at the bases of the slopes.

Choose the most appropriate pH at which the net charge is zero for the molecule from the data shown below :

Choose the correct statement about peptides in the Ramachandran plot.

Equilibrium constant (K'eq) of a reaction is a ratio of product to substrate concentrations. The relation between (K'eq) and free energy change in a reaction (G') is as follows 
G' = –RT ln K'eq
Reaction A and Reaction B have K'eq values of 10 and 100,respectively. Which of the following statements is correct with respect to G'?

Excess oxygen consumed after a vigorous exercise is

Which one of the following describes the primary function of flippases?

From the following statements
1. Hydrogen, Deuterium and Tritium differ in the number of protons.
2. Hydrogen, Deuterium and Tritium differ in the number of neutrons.
3. Both Deuterium and Tritium are radioactive and decay to Hydrogen and Deuterium, respectively.
4. Tritium is radioactive and decays to Helium.
5. Carbon-14 decays to Nitrogen-14.
6. Carbon-14 decays to Carbon-13.
Pick the combination with ALL correct statements. 

From the following statements,
1. For a reaction to occur spontaneously the free energy change must be negative.
2. The interaction between two nitrogen molecules in the gaseous state is predominantly electrostatic.    
3. By knowing bond energies, it is possible to deduce whether the bond is covalent bond or hydrogen bond.
4. Hydrophobic interactions are not important in a folded globular protein.
Pick the combination with ALL WRONG statements. 

The following are four statements on peptide/protein conformation :
1. Glycine has the largest area of con-formationally allowed space in the Ramachandran plot of f and Y
2. A 20-residue peptide that is acetylated at the N-terminus and amidated at the C-terminus has f = –60°(±5), Y = –30°(±5) for all the residues. It can be concluded that conformation of the peptide is helix-turn-strand.
3. The allowed values of f, Y for amino acids in a protein are not valid for short perptides.
4. A peptide Acetyl-A1-A2-A3-A4-CONH2 (A1-A4 are amino acids) adopts a well defined b-turn. The dihedral angles of A2 and A3 determine the type of b-turn.
 Choose the combination of correct statements. 

A researcher investigated a set of conditions for a protein with an isoelectric point of 6.5 and also binds to calcium. This protein was subjected to four independent treatments: (i) pH 6.4, (ii) 10% glycerol, (iii) 10 mM CaCl2, (iv) 40% ammonium sulphate. This was followed by centrifugation and estimation of the protein in the supernatant. The results are depicted in the graph below : Which of the following treatments best represents the results shown in the graph?

In the biosynthesis of purine :
 

A granite block of  2 m x 5 m x 3 m size is cut into  5 cm  thick slabs of  2 m x 5 m size. These slabs are laid over a 2 m  wide pavement. What is the length of the pavement that can be covered with these slabs?

Which is the least among the following?  0.33^0.33 ,    0.44^0.44 ,    ^-1/ ,  e^-1/e

What is the  next number in this "see and tell"  sequence? 
1   11     21      1211       111221____

A peacock perched on the top a 12 m high tree spots a snake moving towards its hole at the base of the tree from a distance to thrice the height of the tree. The peacock flies towards the snake in a straight line and they both move at the same speed. At what distance from the base of the tree will the peacock catch the snake?

The cities of a country are connected by intercity roads. If a city is directly connected to an odd number of other cities, it is called an odd city. If a city is directly connected to an even number of other cities, it is called an even city. Then which of the  following is impossible?

In the given figure, the area of the shaded region (in cm² ), is :

The angels of a right-angled triangle shaped garden are in arithmetic progression and the smallest side is 10.00 m.  The total length of the fencing of the garden in m is

AB is the diameter of the semicircle as shown in the diagram. If AQ = 2AP then which of the  following is correct? 

The rabbit population in community A increases at 25% per year while that in B increases at 50% per year. If the present populations of A and  B are equal, the ratio of the number of the rabbits in B to that in A  after 2 years will be

Two moles each of O2 and H2 are in two separate containers, each of volume V0 and  at 150°C and  1 atmosphere. The two are made to react in a third container to form water vapour until H2 is exhausted. When the temperature of the mixture in the  third container was restored to  150°C,  its pressure became 1 atmosphere. The volume of the third container must be

A 16.2 m long wooden log has a uniform diameter of 2 m. To what length the log should be cut to obtain a piece of 22 m³ volume?

What  is the last digit of 773?

A lucky man finds 6 pots of gold coins. He counts the coins in the first four pots to be  60, 30, 20 and  15, respectively. If there is a definite progression, what would be the numbers of coins in the next two pots?

A bee leaves its hive in the morning and after flying for 30 minutes due south reaches a garden and spends 5 minutes collecting honey. Then it flies for 40 minutes due west and  collects honey in another garden for 10 minutes.  This it returns to the  hive taking the shortest route. How long was the  bee away from its hive?  (Assume that the bee flies at constant speed)

A bird perched at the  top of a 12 m high tree sees a centipede moving towards the base of the tree from a distance equal to  twice the height of the tree. The bird flies along a straight line of catch the centipede. If both move at the same speed, at what distance from the base of the tree will the centipede be picked up by the bird? 

Marks obtained by two students  S1 and  S2 in a four semester course are plotted in following graph  Which of the following statements is true?

The prices of diamond having a particular color and clarity are tabulated below :

How many digits are there in  , 2¹⁷ x 3² x 5¹⁴ x 7 ?

A man on the equator moves along O° longitude up to 45° N.  then turns east and moves up to 90° E,  and returns to the equator along 90° E.  The distance covered in multiples of Earth's radius R is 

On a semi-circle of diameter 10 m drawn on a horizontal ground are standing 4 boys A, B,  C and  D with distance AB = BC = CD. The length of the line-segment joining A and  B is

 A cart wheel rolls along a straight line. If the distance covered is equal to the diameter of the wheel,  what is the angle through which the wheel has turned?

In a class of  10 students,  3 failed in History, 6 failed in Geography and failed in both. How many passed in the subjects?

As shown in the diagram above, a sphere is placed on the top of an incline. It rolls down the incline without slipping in exactly  50 turns. The radius of the sphere is

A set of concentric circles of integer radii 1,2,....N is shown in the figure above. An ant starts at point A₁, goes round the first circle, returns to A₁, moves to A₂, goes round the second circle, returns to A₂, moves to A₃ and  repeats this until it reaches A_N.  The distance covered by the ant is

The figure above shows an infinite series of triangles, in which  r ₁ > r ₂ > r ₃ .... What is the total length of the solid line segments in the figure? 

 Every month the price of a particular commodity falls in this order : 1024, 640, 250, ...........  What is the next value?

A  cubicle piece of wood was filed to make it into the largest possible sphere. What fraction of the original volume was removed?

Three volumes of a Hindi book, identical in shape and size, are next to each other in a shelf, all upright, so that their spines are visible, left to right : I,  II and  III. A worm starts eating from the outside front cover of volume I,  and  eats its way horizontally to the outside back cover of volume  III. What is the distance travelled by the worm, if each volume is  6 cm  thick?

What is the area of the triangle bounded by the lines  y = 2x, y = - 2x and  y = 6 ?

A 2.2 m  wide rectangular steel plate is corrugated as shown in the diagram. Each corrugation is a semi-circle in cross section having a diameter of  7 cm.  What will be the width of steel after it is corrugated?

In each of the following groups of words is a hidden number, based on which you should arrange them in ascending order. Pick the right answer :
1.   Tinsel event
2.   Man in England
3.  Good height
4.   Last encounter

Let m and n be two positive integers such that  m + n + mn = 118 , Then the value of  m + n is

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  :

What is angle x in the schematic diagram given below  ?

From a group of 40 players,  a cricket team of 11 players is chose. The, one of the eleven is chose as the captain of the team. The total number of ways this can done is  [ below means the number of ways  n objects can be chosen from  m  objects ]