ICMR JRF (Life Science) Exam - English

The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________ ?

Which of the following numbers is irrational ?

356 x 936 – 356 x 836 = ?

Arrange in descending order: 5/8, 7/10, 3/4

What is (3^{^}{4} times 9^{^}{2}) ?

If 3⁴X^-2 = 729, then find the value of X.

Convert 0.6 into fraction ?

The no. plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate numbers were reversed. The bus company had only five hundred buses numbered from 1 to 500. What was the number ?

If a and b are positive integers, such that ab = 125, then (a-b)^a+b-4 = ?

If x^*y = x² + y² – xy, then value of 9^*11 is

Which is greater ?

If sum of two numbers is 42 and their product is 437, then find their difference.

Write the 44000 in Roman numerals

Convert 0.0909… into fraction ?

What is (98 times 102) ?

Which is smaller ?

Convert 0.5777… into fraction ?

Convert 0.81 into fraction ?

(63)² – (12)² =?

Which is greater ?

16.928 + 24.7582  5.015 =?

Convert 0.75 into fraction ?

Temperature can be expressed as derived quantity in terms of

Electron volt is a unit of

Dimensions of impulse are

Potential is measured in

One Nanometer is equal to

Maxwell is the unit of

Which of the following is derived physical quantity ?

What are the units of magnetic permeability ?

Which of the following is not a synthetic fibre:

Which one of the following is not contained in Portland cement ?

What is the reson for white cement to be white ?

Which fertilizer is assimilated directly by the plant ?

Which of the following chemicals is used in foam fire extinguishers ?

What is a mixture of potassium nitrate, powdered charcoal and sulphur called ?

Which one of the following chemicals is used in beauty parlours for hair – setting ?

Which one of the following is used as a mordant in dyeing and tanning industry ?

Which of the following contain enzymes for cellular respiration ?

Which one among the following nutrients is a strctural

Which one among the following nutrients is a structural component of the cell wall of plants ?

Which of the following groups is present in animal cells ?

For which among the following is not a true fruit ?

Which one of the following is not a constituent of cell membrane ?

The replication of DNA is a pre-requisite for a eukaryotic cell to undergo division. During the cell cycle, the DNA replicates in

During which stage of mitosis does cytokinesis usually occur in animals ?

The grain size (USDA) of silt in soil ranges between :

What will be BOD, for a wastewater sample when 21 ml of sample is diluted to 300 ml in BOD bottle to determine dissolved oxygen .
[Given: Initial DO, = 10 mg/l; Five days later DO5 = 5 mg/l]

What will be the concentration of 40 ppb SOâ‚‚ in µg/m³ unit at 25°C ?

National Ambient air quality standards typically include following components :

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? 

An ant goes from  A to C in the figure crawling only on the lines and taking the least length of path. The number of ways in which it can do so is

A point is chosen at random from a circular disc shown below. What is the  probability that the point lies in the sector  OAB?

(where

A ray of light, after getting reflected twice from a hemispherical mirror of radius R (see the above figure),  emerges parallel to the incident ray. The separation of the original incident ray and the final reflected ray is 

A king ordered that a golden crown be made for him from  8 kg of gold and 2 kg of silver. The goldsmith took away some amount of gold and replaced in by an equal amount of silver and the crown when made, weighed 10 kg. Archimedes knew that underwater gold lost 1/20th of its weight, while silver lost  1/10th. When the crown was weighed underwater,  it was  9.25 kg. How much gold was stolen by the  goldsmith?

What is the angle between the minute and hour hands of a clock at  7:35 ?

A stream of ants go from point A to point B and return to A along the same path. All the ants move at a constant speed and from any given point  2 ants pass per second one way.  It takes 1minutes for an ant to go from  A to B. How many returning ants will an ant meet in its journey from A to B?

The capacity of the conical vessel shown above is V. It is filled with water upto half its height. The volume of water in the vessel is :

A large tank filled with water is to be emptied by removing half of the water present in it everyday.  After how many days will there be closets to 10% water left in the  tank?

n is a natural number. If n⁵ is odd, which of the following is true?
1.      n is odd
2.      n³  is odd
3.      n⁴  is even

Suppose you expand the product ( x₁  +   y₁ ) (x₂ +  y₂ )....(x₂₀  +  y₂₀). How many terms will have only one X and  rest y ' s?

In the figure below the numbers of circles in the blank rows must be 

If we plot the weight (w)  versus age (t)  of a child in a graph,  the one that will never be  obtained from amongst the four graphs given below  is :

Find the missing number :

In solving a quadratic equation of the from  x² + ax + b = 0, one student took the wrong value of a and  got the roots as 6 and  2', while  another student took the wrong value of  b and  got the roots as 6 and  1. What are the correct  values of a and b, respectively?

The distance between two oil rigs is 6 km. What will be the distance between these rigs in maps of 1:50000 and  1:50000 scales, respectively?

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 ] 

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. Point A is NOT the north Pole. Which of the following  MUST be true?

A 3 m long car goes past a 4 m long truck at rest on the road. The speed of the car is 7  m/s. The time taken to go past is  :

Jar W contains 40 white marble and jar B contains 40 black marbles. Ten black marbles from B are transferred to  W and mixed thoroughly. Now, ten randomly selected marbles from W are put back in Jar B to make  40 marbles in each jar. The number of black marbles in W :

Consider  3 parallel strips of  10 m width running around the Earth, parallel to the equator,  A₁ at the Equator,  A₂ at the Tropic of Cancer and A₃ at the Arctic Circle. The order of the areas of the strips is  :.

If  aN  ⇒  S
eF ⇒  1
gH ⇒> M
then  nS ⇒  ?

How many non - negative integers less than 10,000 are there such that the sum of the digits of the number is divisible by there  ?

Of three persons A,  B and  C  one always lies while the others always speak the truth. C asked A, " Do you always speak the truth, yes or no? " He said something that  C could not hear. So,  C asked B. " what did  A say " B replied,  " A  said  No ".   So,  who is the liar  ?

Two ants,  initially at diametrically opposite points  A and  B on a circular ring of radius R,  start crawling towards each other. The speed of the one at A is half of that of the one at  B. The point at which they meet is at a straight line distance of  :

Based on the graph,  which of the following statements is  NOT  true?

A pyramid shaped toy is made by tightly placing cubic blocks  of  1 x  1 x  1 cm³ . The base of the toy is a Square 4 x 4 cm² The width of   each step is 0.5 cm.  How many blocks are required to make the toy  ?

Information in DNA is in the from of sequence of 4 bases namely  A,  T,  G and  C. The proportion of G is the same as that of C, and than of A is the same as that of T. Which of the following strands of DNA will potentially have maximum diversity ( i. e.,  maximum information content per base)  ?

Two plane mirrors facing each other are kept at 60° to each other.  A point is located on the angle bisector. The number of images of the point is  :

I bought a shirt at  10% discount and sold it to a friend at a loss of 10% . If the friend paid me  Rs 729.00  for the shirt,  what was the undiscounted price of the shirt? 

A single celled spherical organism contains  70%  water by volume. If it loses  10%  of its water content,  how much would its surface area change by approximately?

Suppose :
1.    x =  4
2.   Then,  x -- 4 = x² - 4² ( as both sides are zero)
3.   Therefore,  ( x - 4) = ( x - 4 ) (x +  4) Cancelling (x-4)   from both sides
4.   1  =  (x + 4)
5.  The,  x  =  -  3
Which is the wrong step?

In each of the following groups of words is a hidden number,  based on which you should arrange them in descending order. Pick the correct answer :
E.  Papers  I  xeroxed
F.  Wi - Fi  veteran
G.  Yourself  ourselves
H.  Breaks even

Count the number of squares in the given figure.

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 dealing the shopkeeper makes :

Five congruent rectangles are drawn inside a big rectangle of perimeter  165  as shown. What is the perimeter of one of the five rectangles?

A person walks downhill at 10 km/h. If the 6km/h and  on the plane at  7.5 km/h. If the person takes 3 hours to go from a place A to another place  B,  and  1 hour on the way back,  the distance between  A and  B is :

 A vessel is partially filled with water. More water is added to it at a rate directly proportional to time   . Which of the following graphs depicts correctly the variation of total volume  V of water with time  t?

At one instant the hour hand and the minute hand of a clock are one over the other in between the markings for  5 and  6 on the dial. At this instant,  the tip of the minute hand

A bird leaves its nest and flies away. Its distance x from the nest is plotted as a function of time t. Which of the following plots cannot be right?

A cubicle cardboard box made of 1 cm thick card board has outer side of 29 cm. A tight - fitting cubical box of the same thickness is placed inside it, then another one inside it and so on. How many cubical boxes will be there in the entire set?

Secondary colours are made by a mixture of three primary colours,  Red Green and Blue,  in different proportions'. each of the primary colours comes in 8 possible levels. Grey corresponds to equal proportions of Red. Green and Blue. How many shades of grey exist in this scheme?

The triangle formed by the lines  y  =  x,   y  =  1 --  x and  x  =  0  in a two dimensional plane is ( x and  y axes have the same scale)

The 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   litre back to  A from B half an hour later.  The earliest  A  will get empty is in :

Statement  A : The following statements is true
Statement  B : The preceding statement is false Choose the correct inference from the following :

A car is moving at 60 km/h. The instantaneous velocity of the upper most points of its wheels is :

If  D +  I  +  M  =  1501
C + I + V + I + L  =  157
L + I + V + I + D  =  557
C + I + V + I + C = 207         
What is  V +  I +  M  =  ?

When Ramesh was at the age of 8 years, he hammered a nail into a large tree to mark his height. If the tree grows 2 cm/year, how much higher would the nail be after 6 years?

The molar fraction of hydrochloric acid extremely dilute aqueous solution is The pH of the resulting solution is-

Approximately how much blood flows the through a normal human heart beating 70 times per minute, having a relaxed volume 110 cc and compressed volume of 70cc?

A leaf appears green in daylight. If this leaf were observed in red light, what colour would It appear to have?

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

football and cricket, 15% play both basketball and cricket 10% play both football and Basketball 15 students play no games, while 5% of the students play all three games. What is the total number of students?

A 100 m long fence is to be made by fixing a wire mesh on steel poles. Each pole has a 1m vertical portion and a l m portion tilted at 45⁰  to the vertical. What will be the area of wire mesh required?

The average staff salary of a company Rs.8000/-. A new guard and a new manager recruited with salaries of Rs.5000/- and Rs.20000 respectively. What is the current staff stridence if the new average salary  Rs.4000/-more that of the guard?

A bird flies along the three sides of a field in the shape of an equilateral triangle at speeds of 2, 4, 8 km/hr, respectively. The average speed of bird is-

A buys n copies of a book at 20% discount. B gets the same book at 30% discount. What is the minimum value of n for which B can buy one extra copy of the book, spending the same amount as A?

The number of three English letter words, having at least one consonant, but not having two consecutive consonants, is

There are two gas parcels of equal volume, A and B at the same temperature and pressure. Parcel A is one mole of water vapour, while parcel B is one mole of dry air. Which of the following is TRUE?

For which of the following numbers is its positive square roof closest to the number itself ?

Which one of the following ʵ proteinst both as an activator and repressor of transcription?

One of the mechanisms used by bacteria for  adaptation to changed environment is altering
transcription of their genes. In this regard which one of the following responses is NOT found in bacteria?

During eukaryotic cell division, metaphase to anaphase transition is regulated by degradation of -

Which one of the following statements about chromatin is NOT true?

Select a cellular body which is NOT a part of the nuclear bodies

In a signalling event, binding of an extracellular ligand activates G-protein coupled receptor (GPCR) that eventually activates phospholipase C-B. Which one of the following statements truly reflects the function of phospholipase C-B?

The Ñ„ and Ψ values of a B-strand composed of all D-amino acids will mainly occupy which quadrant in the Ramachandran plot?