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Phrases Previous Year Questions (PYQs)
Phrases 2021 PYQ
The Process when processor fetch or decode another instruction during the execution of current instruction is called
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Solution
Pipelining is the process of accumulating instruction from the processor through a pipeline. It allows storing and executing instructions in an orderly process. It is also known as pipeline processing. Pipelining is a technique where multiple instructions are overlapped during execution.
Which of the following is used by ALU to store the intermediate results?
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Solution
An accumulator is a type of register included in a CPU. It acts as a temporary storage location which holds an intermediate value in mathematical and logical calculations. Intermediate results of an operation are progressively written to the accumulator, overwriting the previous value. For example, in the operation "3 + 4 + 5," the accumulator would hold the value 3, then the value 7, then the value 12. The benefit of an accumulator is that it does not need to be explicitly referenced, which conserves data in the operation statement.
One TeraByte(TB)=_________GB and One ExaByte(EB)=_______GB
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Solution
| Unit | Shortened | Capacity |
|---|---|---|
| Bit | b | 1 or 0 (on or off) |
| Byte | B | 8 bits |
| Kilobyte | KB | 1024 bytes |
| Megabyte | MB | 1024 kilobytes |
| Gigabyte | GB | 1024 megabytes |
| Terabyte | TB | 1024 gigabytes |
| Petabyte | PB | 1024 terabytes |
| Exabyte | EB | 1024 petabytes |
| Zettabyte | ZB | 1024 exabytes |
| Yottabyte | YB | 1024 zettabytes |
The Cache Memory is more effective because of
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Solution
Locality of reference refers to a phenomenon in which a computer program tends to access same set of memory locations for a particular time period. In other words, Locality of Reference refers to the tendency of the computer program to access instructions whose addresses are near one another.
Which of the following is the fastest means of memory access for CPU?
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Solution
Registers are a type of computer memory used to quickly accept, store, and transfer data and instructions that are being used immediately by the CPU. The registers used by the CPU are often termed as Processor registers.
The number (2217)8 is equivalent to
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Solution
(2217)8 =(010010001111)8Pair of 4 Bits
1111= F
1000=8
0100=4
(010010001111)8 =(48F)16
To fetch data from secondary memory which one of the following register is used
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Solution
MAR register is used to access data and instructions from memory during the execution phase of instruction. MAR holds the memory location of data that needs to be accessed. When reading from memory, data addressed by MAR is fed into the MDR (memory data register) and then used by the CPU. When writing to memory, the CPU writes data from MDR to the memory location whose address is stored in MAR. MAR, which is found inside the CPU, goes either to the RAM (random-access memory) or cache.
Consider a computer system with speed of 106 instructions per second. A program P, having 2n2 steps is run on this system, where n is the input size. If n = 10000, what is the execution time for P?
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Solution
Speed of computer=106per secondFor n=10000=104
Time=No of tasksSpeed of computer
Time=2n2106
=2×(104)2106
=2×108106
=2×102
=200sec
To access the I/O devices the status flags is continuously checked in
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Solution
Programmed I/O: In program-controlled I/O, the processor program controls the complete data transfer. So only when an I/O transfer instruction is executed, the transfer could take place. It is required to check that device is ready/not for the data transfer in most cases. Usually, the transfer is to & from a CPU register & peripheral. Here, CPU constantly monitors the peripheral. Here, until the I/O unit indicates that it is ready for transfer, the CPU wait & stays in a loop. It is time-consuming as it keeps the CPU busy needlessly.
Choose the most suitable synonym of the given word:
SCINTILLATING
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Solution
Warming - The word ‘warming’ refers to ‘make or become warm'. This has a very different meaning to the given word. It is not the required synonym. So, this is an incorrect option.Touching - The word ‘touching’ refers to ‘arousing feelings of sympathy or gratitude'. This has a completely different meaning to the given word. It is not its synonym. So, this is an incorrect option.
Glittering - The word ‘glittering’ refers to ‘shining with a shimmering or sparkling light'. This word has the exact same meaning as the given word. It is the synonym of ‘scintillating’. So, this is the correct option.
Choose the most suitable synonym of the given word:
BLAND
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Solution
bland - tastelessExample: a bland sauce.
Fil in the blank with the most appropriate word given:
I cannot ____________ it to you right now; tomorrow we will discuss about it.
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Solution
Choose the most suitable synonym of the given word?
RECUPERATE
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Solution
Synonyms:come back,
convalesce,
gain,
heal,
mend,
recoup,
recover,
snap back
Example:
This way, your body can recuperate after working hard.
Fill in the blank with the most appropriate word:
The _________ with which he is able to wield the paint – brush is really remarkable?
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Solution
Fill in the blank with the most appropriate word:
The car driver was arrested for rash driving and his license was __________ by the police.
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Solution
Fill in the blank with the most appropriate word:
The State Transportation Corporation has _______ a loss of 5 crore INR this year.
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Solution
Read the following passage carefully and answer the question that follow:
It is said with truth that the function of a university is to prepare the young to take their place in human society. It must provide Its members with the knowledge and skill necessary to make them efficient citizens. But is the whole duty of man exhausted by the acquisition of knowledge and professional training? Is a university only an institution for higher learning, a factory which churns out clerks and technicians able to run the machinery of the State? Mere knowledge which gratifies curiosity is different from culture which refines personality. Culture is not remembering a mass of serious details about the dates of birth of the great heroes of the world or the interesting names of the fastest ships which cross the Atlantic or entertaining odds and ends gathered from the latest who's who. A well-known institution of this country has for Its motto sa vidya yavimuchyate: that is, knowledge which is designed for salvation, for the development of the soul, is the best. Such an idea is not merely an Indian idiosyncrasy. Plato said long ago that the culture of soul is "the first and fairest thing that the best of men can ever have. According to Goethe, the object of education is to form tastes and not simply to communicate knowledge. A man's culture Is not judged by the amount of tabulated information which he has at his command, but by the quality of mind which he brings to bear on the facts of life. Education is not cramming the mind with a host of technical details, putting sight, as it were, into blind eyes. The eye of the soul Is never blind, only its gaze may be turned to the false and the fleeting. Too often the vision may be dragged downwards by the "leaden weights" of pride and prejudice, of passion and desire. The function of the teacher is not to add to the "leaden weights" but remove them and liberate the soul from the encumbrance so that it may follow its native impulse to soar upwards. The student at a university does not merely learn something, but becomes something by being exposed, in the most elastic period of his life, to transforming influences, such as the constant clash of mind with mind, the interchange of ideas, the testing of opinions, and the growth of knowledge of human nature.
Mere knowledge and culture may be distinguished from each other in that
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Solution
Read the following passage carefully and answer the question that follow:
It is said with truth that the function of a university is to prepare the young to take their place in human society. It must provide Its members with the knowledge and skill necessary to make them efficient citizens. But is the whole duty of man exhausted by the acquisition of knowledge and professional training? Is a university only an institution for higher learning, a factory which churns out clerks and technicians able to run the machinery of the State? Mere knowledge which gratifies curiosity is different from culture which refines personality. Culture is not remembering a mass of serious details about the dates of birth of the great heroes of the world or the interesting names of the fastest ships which cross the Atlantic or entertaining odds and ends gathered from the latest who's who. A well-known institution of this country has for Its motto sa vidya yavimuchyate: that is, knowledge which is designed for salvation, for the development of the soul, is the best. Such an idea is not merely an Indian idiosyncrasy. Plato said long ago that the culture of soul is "the first and fairest thing that the best of men can ever have. According to Goethe, the object of education is to form tastes and not simply to communicate knowledge. A man's culture Is not judged by the amount of tabulated information which he has at his command, but by the quality of mind which he brings to bear on the facts of life. Education is not cramming the mind with a host of technical details, putting sight, as it were, into blind eyes. The eye of the soul Is never blind, only its gaze may be turned to the false and the fleeting. Too often the vision may be dragged downwards by the "leaden weights" of pride and prejudice, of passion and desire. The function of the teacher is not to add to the "leaden weights" but remove them and liberate the soul from the encumbrance so that it may follow its native impulse to soar upwards. The student at a university does not merely learn something, but becomes something by being exposed, in the most elastic period of his life, to transforming influences, such as the constant clash of mind with mind, the interchange of ideas, the testing of opinions, and the growth of knowledge of human nature.
What is the function of education according to the ancient Indian philosophers?
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Solution
Read the following passage carefully and answer the question that follow:
It is said with truth that the function of a university is to prepare the young to take their place in human society. It must provide Its members with the knowledge and skill necessary to make them efficient citizens. But is the whole duty of man exhausted by the acquisition of knowledge and professional training? Is a university only an institution for higher learning, a factory which churns out clerks and technicians able to run the machinery of the State? Mere knowledge which gratifies curiosity is different from culture which refines personality. Culture is not remembering a mass of serious details about the dates of birth of the great heroes of the world or the interesting names of the fastest ships which cross the Atlantic or entertaining odds and ends gathered from the latest who's who. A well-known institution of this country has for Its motto sa vidya yavimuchyate: that is, knowledge which is designed for salvation, for the development of the soul, is the best. Such an idea is not merely an Indian idiosyncrasy. Plato said long ago that the culture of soul is "the first and fairest thing that the best of men can ever have. According to Goethe, the object of education is to form tastes and not simply to communicate knowledge. A man's culture Is not judged by the amount of tabulated information which he has at his command, but by the quality of mind which he brings to bear on the facts of life. Education is not cramming the mind with a host of technical details, putting sight, as it were, into blind eyes. The eye of the soul Is never blind, only its gaze may be turned to the false and the fleeting. Too often the vision may be dragged downwards by the "leaden weights" of pride and prejudice, of passion and desire. The function of the teacher is not to add to the "leaden weights" but remove them and liberate the soul from the encumbrance so that it may follow its native impulse to soar upwards. The student at a university does not merely learn something, but becomes something by being exposed, in the most elastic period of his life, to transforming influences, such as the constant clash of mind with mind, the interchange of ideas, the testing of opinions, and the growth of knowledge of human nature.
What is meant by “leaden weights”.?
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Solution
Read the following passage carefully and answer the question that follow:
It is said with truth that the function of a university is to prepare the young to take their place in human society. It must provide Its members with the knowledge and skill necessary to make them efficient citizens. But is the whole duty of man exhausted by the acquisition of knowledge and professional training? Is a university only an institution for higher learning, a factory which churns out clerks and technicians able to run the machinery of the State? Mere knowledge which gratifies curiosity is different from culture which refines personality. Culture is not remembering a mass of serious details about the dates of birth of the great heroes of the world or the interesting names of the fastest ships which cross the Atlantic or entertaining odds and ends gathered from the latest who's who. A well-known institution of this country has for Its motto sa vidya yavimuchyate: that is, knowledge which is designed for salvation, for the development of the soul, is the best. Such an idea is not merely an Indian idiosyncrasy. Plato said long ago that the culture of soul is "the first and fairest thing that the best of men can ever have. According to Goethe, the object of education is to form tastes and not simply to communicate knowledge. A man's culture Is not judged by the amount of tabulated information which he has at his command, but by the quality of mind which he brings to bear on the facts of life. Education is not cramming the mind with a host of technical details, putting sight, as it were, into blind eyes. The eye of the soul Is never blind, only its gaze may be turned to the false and the fleeting. Too often the vision may be dragged downwards by the "leaden weights" of pride and prejudice, of passion and desire. The function of the teacher is not to add to the "leaden weights" but remove them and liberate the soul from the encumbrance so that it may follow its native impulse to soar upwards. The student at a university does not merely learn something, but becomes something by being exposed, in the most elastic period of his life, to transforming influences, such as the constant clash of mind with mind, the interchange of ideas, the testing of opinions, and the growth of knowledge of human nature.
The function of university is :
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Solution
Read the following passage carefully and answer the question that follow:
It is said with truth that the function of a university is to prepare the young to take their place in human society. It must provide Its members with the knowledge and skill necessary to make them efficient citizens. But is the whole duty of man exhausted by the acquisition of knowledge and professional training? Is a university only an institution for higher learning, a factory which churns out clerks and technicians able to run the machinery of the State? Mere knowledge which gratifies curiosity is different from culture which refines personality. Culture is not remembering a mass of serious details about the dates of birth of the great heroes of the world or the interesting names of the fastest ships which cross the Atlantic or entertaining odds and ends gathered from the latest who's who. A well-known institution of this country has for Its motto sa vidya yavimuchyate: that is, knowledge which is designed for salvation, for the development of the soul, is the best. Such an idea is not merely an Indian idiosyncrasy. Plato said long ago that the culture of soul is "the first and fairest thing that the best of men can ever have. According to Goethe, the object of education is to form tastes and not simply to communicate knowledge. A man's culture Is not judged by the amount of tabulated information which he has at his command, but by the quality of mind which he brings to bear on the facts of life. Education is not cramming the mind with a host of technical details, putting sight, as it were, into blind eyes. The eye of the soul Is never blind, only its gaze may be turned to the false and the fleeting. Too often the vision may be dragged downwards by the "leaden weights" of pride and prejudice, of passion and desire. The function of the teacher is not to add to the "leaden weights" but remove them and liberate the soul from the encumbrance so that it may follow its native impulse to soar upwards. The student at a university does not merely learn something, but becomes something by being exposed, in the most elastic period of his life, to transforming influences, such as the constant clash of mind with mind, the interchange of ideas, the testing of opinions, and the growth of knowledge of human nature.
According to the passage, the function of the teacher is :
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Solution
Read the following passage carefully and answer the question that follow:
It is said with truth that the function of a university is to prepare the young to take their place in human society. It must provide Its members with the knowledge and skill necessary to make them efficient citizens. But is the whole duty of man exhausted by the acquisition of knowledge and professional training? Is a university only an institution for higher learning, a factory which churns out clerks and technicians able to run the machinery of the State? Mere knowledge which gratifies curiosity is different from culture which refines personality. Culture is not remembering a mass of serious details about the dates of birth of the great heroes of the world or the interesting names of the fastest ships which cross the Atlantic or entertaining odds and ends gathered from the latest who's who. A well-known institution of this country has for Its motto sa vidya yavimuchyate: that is, knowledge which is designed for salvation, for the development of the soul, is the best. Such an idea is not merely an Indian idiosyncrasy. Plato said long ago that the culture of soul is "the first and fairest thing that the best of men can ever have. According to Goethe, the object of education is to form tastes and not simply to communicate knowledge. A man's culture Is not judged by the amount of tabulated information which he has at his command, but by the quality of mind which he brings to bear on the facts of life. Education is not cramming the mind with a host of technical details, putting sight, as it were, into blind eyes. The eye of the soul Is never blind, only its gaze may be turned to the false and the fleeting. Too often the vision may be dragged downwards by the "leaden weights" of pride and prejudice, of passion and desire. The function of the teacher is not to add to the "leaden weights" but remove them and liberate the soul from the encumbrance so that it may follow its native impulse to soar upwards. The student at a university does not merely learn something, but becomes something by being exposed, in the most elastic period of his life, to transforming influences, such as the constant clash of mind with mind, the interchange of ideas, the testing of opinions, and the growth of knowledge of human nature.
What are the hindering factors in the liberation and development of the soul?
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Solution
Read the following passage carefully and answer the question that follow:
It is said with truth that the function of a university is to prepare the young to take their place in human society. It must provide Its members with the knowledge and skill necessary to make them efficient citizens. But is the whole duty of man exhausted by the acquisition of knowledge and professional training? Is a university only an institution for higher learning, a factory which churns out clerks and technicians able to run the machinery of the State? Mere knowledge which gratifies curiosity is different from culture which refines personality. Culture is not remembering a mass of serious details about the dates of birth of the great heroes of the world or the interesting names of the fastest ships which cross the Atlantic or entertaining odds and ends gathered from the latest who's who. A well-known institution of this country has for Its motto sa vidya yavimuchyate: that is, knowledge which is designed for salvation, for the development of the soul, is the best. Such an idea is not merely an Indian idiosyncrasy. Plato said long ago that the culture of soul is "the first and fairest thing that the best of men can ever have. According to Goethe, the object of education is to form tastes and not simply to communicate knowledge. A man's culture Is not judged by the amount of tabulated information which he has at his command, but by the quality of mind which he brings to bear on the facts of life. Education is not cramming the mind with a host of technical details, putting sight, as it were, into blind eyes. The eye of the soul Is never blind, only its gaze may be turned to the false and the fleeting. Too often the vision may be dragged downwards by the "leaden weights" of pride and prejudice, of passion and desire. The function of the teacher is not to add to the "leaden weights" but remove them and liberate the soul from the encumbrance so that it may follow its native impulse to soar upwards. The student at a university does not merely learn something, but becomes something by being exposed, in the most elastic period of his life, to transforming influences, such as the constant clash of mind with mind, the interchange of ideas, the testing of opinions, and the growth of knowledge of human nature.
What is the object of education according to Goethe?
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Solution
Read the following passage carefully and answer the question that follow:
It is said with truth that the function of a university is to prepare the young to take their place in human society. It must provide Its members with the knowledge and skill necessary to make them efficient citizens. But is the whole duty of man exhausted by the acquisition of knowledge and professional training? Is a university only an institution for higher learning, a factory which churns out clerks and technicians able to run the machinery of the State? Mere knowledge which gratifies curiosity is different from culture which refines personality. Culture is not remembering a mass of serious details about the dates of birth of the great heroes of the world or the interesting names of the fastest ships which cross the Atlantic or entertaining odds and ends gathered from the latest who's who. A well-known institution of this country has for Its motto sa vidya yavimuchyate: that is, knowledge which is designed for salvation, for the development of the soul, is the best. Such an idea is not merely an Indian idiosyncrasy. Plato said long ago that the culture of soul is "the first and fairest thing that the best of men can ever have. According to Goethe, the object of education is to form tastes and not simply to communicate knowledge. A man's culture Is not judged by the amount of tabulated information which he has at his command, but by the quality of mind which he brings to bear on the facts of life. Education is not cramming the mind with a host of technical details, putting sight, as it were, into blind eyes. The eye of the soul Is never blind, only its gaze may be turned to the false and the fleeting. Too often the vision may be dragged downwards by the "leaden weights" of pride and prejudice, of passion and desire. The function of the teacher is not to add to the "leaden weights" but remove them and liberate the soul from the encumbrance so that it may follow its native impulse to soar upwards. The student at a university does not merely learn something, but becomes something by being exposed, in the most elastic period of his life, to transforming influences, such as the constant clash of mind with mind, the interchange of ideas, the testing of opinions, and the growth of knowledge of human nature.
What is the man’s culture judged by?
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Solution
Fill in the blank with the most appropriate word given in the options.
The child prefers rooms with _________ceilings.
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Solution
The area of the region bounded by x-axis and the curves defined by y=tanx, −π3≤x≤π3 and y=cotx, −π6≤x≤3π2 is
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Solution
The number of common tangents to the circle x^2+y^2=4 and x^2+y^2-6x-8y=24 is
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Solution
In a ΔABC, if \tan ^2\frac{A}{2}+\tan ^2\frac{B}{2}+\tan ^2\frac{C}{2}=k , then k is always
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Solution
Let \vec{a}=2\widehat{i}\, +\widehat{j}\, +2\widehat{k} , \vec{b}=\widehat{i}-\widehat{j}+2\widehat{k} and \vec{c}=\widehat{i}+\widehat{j}-2\widehat{k} are are three vectors. Then, a vector in the plane of \vec{a} and \vec{c} whose projection on \vec{b} is of magnitude \frac{1}{\sqrt{6}} is
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Solution
For what value of p, the polynomial x^4-3x^3+2px^2-6 is exactly divisible by (x-1)
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Solution
If F(\theta)=\begin{bmatrix}{\cos \theta} & {-\sin \theta} & {0} \\ {\sin \theta} & {\cos \theta} & {0} \\ {0} & {0} & {1}\end{bmatrix} , then F(\theta)F(\alpha) is equal to
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Solution
If \frac{n!}{2!(n-2)!} and \frac{n!}{4!(n-4)!} are in the ratio 2:1, then the value of n is
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Solution
The locus of the point of intersection of tangents to the ellipse \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 which meet right angles is
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Solution
If the position vector of A and B relative to O be \widehat{i}\, -4\widehat{j}+3\widehat{k} and -\widehat{i}\, +2\widehat{j}-\widehat{k} respectively, then the median through O of ΔABC is:
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Solution
The general value of \theta, satisfying the equation \sin \theta=\frac{-1}{2},\, \tan \theta=\frac{1}{\sqrt[]{3}}
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Solution
The area of the triangle formed by the vertices whose position vectors are 3\widehat{i}+\widehat{j} , 5\widehat{i}+2\widehat{j}+\widehat{k} , \widehat{i}-2\widehat{j}+3\widehat{k} is
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Solution
The standard deviation of 20 numbers is 30. If each of the numbers is increased by 4, then the new standard deviation will be
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Solution
The function f(x)=\frac{x}{1+x\tan x} , 0\leq x\leq\frac{\pi}{2} is maximum when
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Solution
If f\colon R\rightarrow R is defined by f(x)=\begin{cases}{\frac{x+2}{{x}^2+3x+2}} & {,\, if\, x\, \in R-\{-1,-2\}} \\ {-1} & {,if\, x=-2} \\ {0} & {,if\, x=-1}\end{cases} , then f(x) is continuous on the set
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Solution
The probability of occurrence of two events E and F are 0.25 and 0.50, respectively. the probability of their simultaneous occurrence is 0.14. the probability that neither E nor F occur is
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Solution
If y={\tan }^{-1}\lgroup{\frac{3x-{x}^3}{1-3{x}^2}}\rgroup\, ,\, \frac{-1}{\sqrt[]{3}}{\lt}x{\lt}\frac{1}{\sqrt[]{3}} then \frac{dy}{dx} is
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Solution
Incorrect questionThe value of \tan 9{^{\circ}}-\tan 27{^{\circ}}-\tan 63{^{\circ}}+\tan 81{^{\circ}} is equal to
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Solution
In a triangle, if the sum of two sides is x and their product is y such that (x+z)(x-z)=y, where z is the third side of the triangle , then triangle is
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Solution
If H_1,H_2,\ldots,H_n are n harmonic means between a and b (b\ne a);,then \frac{{{H}}_n+a}{{{H}}_n-a}+\frac{{{H}}_n+b}{{{H}}_n-b}
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Solution
If y=\sin ^{-1}(\frac{{x}^2+1}{\sqrt[]{1+3{x}^2+{x}^4}}),\, (x>0), then \frac{dy}{dx}=
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Solution
If 32\, \tan ^8\theta=2\cos ^2\alpha-3\cos \alpha and 3\, \cos \, 2\theta=1, then the general value of \alpha =
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Solution
In a triangle ABC, a\cos ^2\frac{C}{2}+\, c\, \, {\cos }^2\frac{A}{2}=\frac{3b}{2} then the sides of the triangle are in
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Solution
If |k|=5 and 0° ≤ θ ≤ 360°, then the number of distinct solutions of 3cosθ + 4sinθ = k is
NIMCET 2021
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Solution
If θ is acute angle between the pair of lines x^2-7xy+12y^2=0, then \frac{2\cos \theta+3\sin \theta}{4\sin \theta+5\cos \theta}=
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Solution
The lines px+qy=1 and qx+py=1 are respectively the sides AB, AC of the triangle ABC and the base BC is bisected at (p,q). Equation of the median of the triangle through the vertex A is
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Solution
If the vectors a\hat{i}+\hat{j}+\hat{k},\hat{i}+b\hat{j}+\hat{k},\hat{i}+\hat{j}+c\hat{k} , (a,b,c\ne1) are coplanar, then \frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=
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Solution
Let \vec{a}=\hat{i}+\hat{j} and \vec{b}=2\hat{i}-\hat{k}, the point of intersection of the lines \vec{r}\times\vec{a}=\vec{b}\times\vec{a} and \vec{r}\times\vec{b}=\vec{a}\times\vec{b} is
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Solution
If the system of equations 3x-y+4z=3 , x+2y-3z=-2 , 6x+5y+λz=-3 has atleast one solution, then λ=
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Solution
If a variable takes values 0, 1, 2,…, 50 with frequencies 1,\, {{50}}_{{{C}}_1},{{50}}_{{{C}}_2},\ldots..,{{50}}_{{{C}}_{50}}, then the AM is
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Solution
If A={1,2,3,4} and B={3,4,5}, then the number of elements in (A∪B)×(A∩B)×(AΔB)
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Solution
If n is an integer between 0 to 21, then find a value of n for which the value of n!(21-n)! is minimum
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Solution
Suppose A_1,A_2,\ldots,A_{30} are 30 sets each with five elements and B_1,B_2,B_3,\ldots,B_n are n sets (each with three elements) such that \bigcup ^{30}_{i=1}{{A}}_i={{\bigcup }}^n_{j=1}{{B}}_i=S\, and each element of S belongs to exactly ten of the A_i's and exactly 9 of the B^{\prime}_j's. Then n=
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Solution
The eccentric angle of the extremities of latus-rectum of the ellipse \frac{{x}^2}{{a}^2}^{}+\frac{{y}^2}{{b}^2}^{}=1 are given by
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Solution
If α≠β and \alpha^2=5\alpha-3,\beta^2=5\beta-3, then the equation whose roots are \frac{\alpha}{\beta} and \frac{\beta}{\alpha} is
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Solution
The probability that a man who is x years old will die in a year is p. Then, amongst n persons A_1,A_2,\ldots A_n each x year old now, the probability that {{A}}_1 will die in one year and (be the first to die ) is
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Solution
Angle between \vec{a} and \vec{b} is 120{^{\circ}}. If |\vec{b}|=2|\vec{a}| and the vectors , \vec{a}+x\vec{b} , \vec{a}-\vec{b} are at right angle, then x=
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Solution
If a number x is selected at random from natural numbers 1,2,…,100, then the probability for x+\frac{100}{x}{\gt}29 is
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Solution
If \vec{e_1}=(1,1,1) and \vec{e_2}=(1,1,-1) and \vec{a} and \vec{b} and two vectors such that \vec{e_2}=\vec{a}+2\vec{b} , then angle between \vec{a} and \vec{b}
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Solution
If P(1,2), Q(4,6), R(5,7) and S(a,b) are the vertices of a parallelogram PQRS, then
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If a\, \cos \theta+b\, \sin \, \theta=2 and a\, \sin \, \theta-b\, \cos \, \theta=3 , then {a}^{2^{}}+{b}^2=
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Solution
If three thrown of three dice, the probability of throwing triplets not more than twice is
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Solution
There are 50 questions in a paper. Find the number of ways in which a student can attempt one or more questions :
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Solution
Consider the following frequency distribution table.
| Class Interval | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| Frequency | 180 | f_1 | 34 | 180 | 136 | f_2 | 50 |
If the total frequency is 686 and the median is 42.6, then the value of f_1;and f_2 are
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Solution
Choose the word which has the same relationship among the given three words:
Yellow, Blue, Red
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Solution
A company produces five different products. The sales of these five products (in lakh number of packs) during 2005 and 2010 are shown in the following bar – graph. Question is based on this graph. Sales (in lakh number of packs) of five different products of a company during 2005-2010.
The sales of Products a in 2010 was by that percent more than the sales of Product B in 2010? (rounded off to the nearest integer)
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Solution
Read the information given below and answer the following question: Who among the following is one of the couples?
- In a family of six persons A,B,C,D,E and F, there are two married couples.
- D Is grandmother of A and mother of B.
- C is wife of B and mother of F.
- F is the granddaughter of E.
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Solution
Read the information given below and answer the following question: Which of the following is true?
- In a family of six persons A,B,C,D,E and F there are two married couples.
- D Is grandmother of A and mother of B.
- C is wife of B and mother of F.
- F is the granddaughter of E.
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Solution
Read the information given below and answer the following question: What is C to A?
- In a family of six persons A,B,C,D,E and F there are two married couples.
- D Is grandmother of A and mother of B.
- C is wife of B and mother of F.
- F is the granddaughter of E.
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Solution
If 9 × 3 + 8 = 24, 10 × 2 + 7 = 35 and 80 × 40 + 3 = 6, then find the value of 12 × 4 + 3 = ?
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Solution
Choose the missing term out of the given alternatives:
Q1F , S2E , U6D , W21C , ?
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Solution
Study the following table carefully and answer the following question.
| Subject (Full Marks 50) | 40 and above | 30 and above | 20 and above | 10 and above | 0 and above |
| Physics | 9 | 32 | 80 | 92 | 100 |
| Chemistry | 4 | 21 | 66 | 81 | 100 |
| Aggregate | 7 | 27 | 73 | 87 | 100 |
If it is known that at least 23 students were eligible for a Symposium on Chemistry, the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range:
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Solution
Since 66 students get 20 and above marks in Chemistry and out of these 21 students get 30 and above marks, therefore to select top 35 students in Chemistry, the qualifying marks should lie in the range 20-30.In a certain code language, "do re me" means "he is late"; "fa me la" means "she is early" and "so ti do" means "he leaves soon". Which word in the language means 'late"?
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Solution
In this series, looking at the letter pattern fill the blank in the middle of the series:ELFA, GLHA, IUA, _____ , MLNA
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Solution
Read the following Information carefully and then answer the following question:
i. \psiQ means Pis mother of Q
ii. P \in Q means P is sister of Q
iii. P $ Q means P is father of Q
iv. P # Q means P is brother of Q
Which of the following means R is brother of T?
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Solution
Choose the pair that best represents a similar relationship to the one expressed in the original pair of words:
WAITRESS : RESTAURANT
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Solution
If it is Saturday on January 1, 2000, then January 1, 2001 would have been
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Solution
Radha is twice as old as Rita was 2 years ago. If difference between their ages is 2 years, how old is Radha today?
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Solution
How many times in a day are the hands of a clock pointing opposite to each other?
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Solution
Study the following table carefully and answer the following question.
| Subject (Full Marks 50) | 40 and above | 30 and above | 20 and above | 10 and above | 0 and above |
| Physics | 9 | 32 | 80 | 92 | 100 |
| Chemistry | 4 | 21 | 66 | 81 | 100 |
| Aggregate | 7 | 27 | 73 | 87 | 100 |
If it is known that at least 23 students were eligible for a Symposium on Chemistry, the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range:
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Solution
Study the following table carefully and answer the following question.
| Subject (Full Marks 50) | 40 and above | 30 and above | 20 and above | 10 and above | 0 and above |
| Physics | 9 | 32 | 80 | 92 | 100 |
| Chemistry | 4 | 21 | 66 | 81 | 100 |
| Aggregate | 7 | 27 | 73 | 87 | 100 |
The number of students scoring less than 40% marks in aggregate is:
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Solution
Read the information given below and answer the following question:How many male members are there in the family?
- In a family of six persons A,B,C, D,E and F , there are two married couples.
- D is grandmother of A and mother of B.
- C is wife of B and mother of F.
- F is the granddaughter of E.
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Solution
Read the following Information carefully and then answer the following question:
i. \psiQ means P is mother of Q
ii. P \in Q means P is sister of Q
iii. P $ Q means P is father of Q
iv. P # Q means P is brother of Q
IfKψL∈M#N, , then how K is related with N?
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Solution
Choose the correct option for the remainder when X = 1! + 2! + 3! + ...........+ 100! is divided by 24
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Solution
There are six members in a family. A is the father of D, E is the grandfather of D. B is the daughter-in-law of C. F is the uncle of D. What is the relationship of C with F?
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Solution
Read the following Information carefully and then answer the following question:
i. \psiQ means P is mother of Q
ii. P \in Q means P is sister of Q
iii. P $ Q means P is father of Q
iv. P # Q means P is brother of Q
Which of the following means N is definitely daughter of K
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Solution
Study the following table carefully and answer the following question.
| Subject (Full Marks 50) | 40 and above | 30 and above | 20 and above | 10 and above | 0 and above |
| Physics | 9 | 32 | 80 | 92 | 100 |
| Chemistry | 4 | 21 | 66 | 81 | 100 |
| Aggregate | 7 | 27 | 73 | 87 | 100 |
What is the difference between the number of students passed with 30 as cut – off marks in chemistry and those passed with 30 as cut – off marks in aggregate?
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Solution
A company produces five different products. The sales of these five products (in lakh number of packs) during 2005 and 2010 are shown in the following bar – graph. Question is based on this graph. Sales (in lakh number of packs) of five different products of a company during 2005-2010.
During the period 2005-2010, the minimum rate of increase in sales is in the case of :
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Solution
Choose the pair that best represents a similar relationship to the one expressed in the original pair of words:
PULSATE : THROB
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Solution
In a class of 50 students, Raghu's rank is twice that of Paul. There are 10 students who have ranked worse than that of Raghu. Paul's rank in the class is:
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Solution
If ‘A3T15R’ stands for 'ACTOR' and ‘D1T5' stands for DATE, how will you code 'ROTATE'
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Solution
A company produces five different products. The sales of these five products (in lakh number of packs) during 2005 and 2010 are shown in the following bar – graph. Question is based on this graph. Sales (in lakh number of packs) of five different products of a company during 2005-2010.
The sales have increased by nearly 55% from 2005 to 2010 in case of :
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Solution
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