Test: BITSAT Mock Test- 6
150 Questions MCQ Test BITSAT Mock Tests Series & Past Year Papers | Test: BITSAT Mock Test- 6
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When 100 V D.C. is supplied across solenoid, a current of 1.0 amp flows in it. When 100 V A.C. is applied across the same coil, the current drops to 0.5A. If the frequency of A.C. source is 50Hz, then the impedance and inductance of the solenoid are
If an electron of mass m and charge e is accelerated from rest through a potential difference V in vacuum, then its final velocity will be
A torch battery consisting of two cells of 1.45 volts and an internal resistance 0.15 Ω, each cell sending currents through the filament of the lamps having resistance 1.5 ohms. The value of current will be
A dust particle of mass 10−3 gm is stationary between the plates of a horizontal parallel plate capacitor of 0 · 016m separation which is connected to a voltage of 100V. How many fundamental charges e = 1 • 6 * 10−19 C the dust particle carries
Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move, while in cylinder B the piston is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas in cylinder A raises by 20oK. What will be the rise in temperature of the gas in cylinder B?
A body is projected up with a velocity equal to 3/4 th of the escape velocity from the surface of the earth. The height it reaches is ( Radius of eatth = R)
24 cm3 of water flows per second through a capillary tube of radius r cm and length l cm, when connected to a pressure head h cm of water. If a tube of the length l/2 cm and radius r/2 cm is connected to the same pressure head, then volume of water flowing per second through the tube is
The magnitude moment of a magnetic wire of length L is M. What will be its magnetic moment, when it is bent in the form of a semicircle?
The angularspeed of seconds needle in a mechanical watch is
Which of the following function represents a simple harmonic motion?
A body of mass MKg is on the top point of a smooth hemisphere of radius 5m. It is released to slide down the surface of the hemisphere. It leaves the surface when its velocity is 5ms-1. At this instant the angle made by the radius vector of the body with the vertical is (g=10ms-2)
A water fall is 84 meters high. If half of the potential energy of the falling water gets converted to heat, the rise in temperature of water will be
If a scientist says that the efficiency of an engine working at source temperature of 127oC and sink temperature of 27oC is 25%, then
A particle of mass M is moving in a horizontal circle of radius R with uniform speed V. When it moves from one point to a diametrically opposite point. its
Assume that the nucleus of the fluorine atom is a sphere of radius 5 x 10-13 cm. What is the density of matter in the nucleus?
The standard enthalpy of decomposition of N₂O₄ to NO₂ is 58.04 KJ and standard entropy of this reaction is 176.7 J-K⁻1. The standard free energy change for this reaction at 25oC, is
When acidified solution of K₂Cr₂O₇ is shaken with aqueous solution of FeSO₄, then
When SCN- is added to an aqueous solution of Fe(NO3)3, the complex ion produced is
A base dissolved in water, yields a solution with a hydroxyl ion concentration of 0.05 mol-L⁻1. The solution is
The area bounded by the x-axis and the curve y = 4x - x2 - 3 is
If 2x - 3y = 0 is the equation of the common chord of the circles x2 + y2 + 4x = 0 and x2 + y2 + 2λy = 0, then the value of λ is
If [(1 + i√3)/(1 + i√3)]n is an integer ,then n is equal to
Let w = ( 1 + √3i ) / ( 1 - √3i )
Multiplying numerator and denominator by ( 1 + √3i ) gives
w = ( 1 + √3i )² / [ ( 1 - √3i ) ( 1 + √3i ) ]
= ( 1 - 3 + 2√3i ) / ( 1 + 3 )
= ( -2 + 2√3i ) / 4
= ( -1 + √3i) / 2.
So w is a primitive cubed root of unity.
So wⁿ is an integer
<=> wⁿ = 1
<=> n is a multiple of 3.
The solution of the equation sec2x tany dx + sec2y tanx dy = 0 is
Solution of the differential equation tan y sec2 x dx + tan x sec2 y dy = 0 is
The differential equation obtained by eliminating the arbitrary constants a and b from x y = aex + be− x is
For real values of x the minimum value of [(1-x+x2)/(1+x+x2)] is
Value of 1 + log x + (log x)2/2! + (log x)3/3! + ..... ∞ is
From the top of the house 15 metres high the angle of depression of a point which is at a distance 15 m from the base of the house is
The function f(x) = cot⁻1 x + x increases in the interval
If A is a square matrix such that A2 = A, then det equals :
If i2 = -1, then the sum i + i2 + i3 + ..... upto 1000 terms is equal to
The angle between lines represented by 4x2-24xy+11y2=0 is
The pole of the line lx+my+n=0 w.r.t. the parabloa y2 =4ax
Two finite sets have m and n elements, the total number of subsets of the first set is 56 more than the total number of subsets of the second. The value of m and n are respectively
Let A denote the first set and B denote the second set
We have, n(A) = 2m and n(B) = 2n
As per the question, we have
n(A) = 56 + n(B)
⇒ n(A) - n(B) = 56
⇒ 2m - 2n = 56
⇒ 2n (2m - n - 1)
⇒ 2n (2m - n - 1) = 8 * 7
⇒ 2n = 8 = 23 or (2m - n - 1) = 7
⇒ n = 3 or 2m - n = 8 = 23 = 26 - 3
⇒ n = 3 or m - n = 3
⇒ n = 3 or m = 6
Hence, the required values of m and n are 6 and 3 respectively
All letters of the word EAMCET can be written in all possible ways. In how many ways can the letters of the word EAMCET be arranged so that two vowels are never together.
In a triangle ABC, A = 30o, b = 8, a = 6, then B = sin⁻1 x where x =
If the product of the roots of the equation ax2 + 6x + α2 + 1 = 0 is -2 then α equals
If y = x - x2 + x3 - x4 + ... to ∞, then the value of x will be (-1 < x < 1)
The two curves x = y2, xy = a3 cut arthogonally at a point, then a2 =
A st. line which makes an angle of 60o with each of y and z axes, inclines with x-axis at an angle
If x sin3α+y cos3α=sinα cosα and x sinα-y cosα=0, then x2+y2=
All the values of x satisfying sin 2 x + sin 4 x = 2 sin 3 x are
The two friends were DISTINCT in everything; dress manners, hair-style and food-habits.
However, a large number of employees kept ........... from their offices today.
Poisonous gases emitted from factories CONTAMINATE the air we breathe in.
To make impure or unclean by contact or mixture
To expose to or permeate with foreign material
Synonyms : contaminate, foul, poison, pollute, taint
Antonyms : Clean, purify, decontaminate, sterilize disinfect
I am.....forward to our picnic scheduled in the next month.
To cause troops etc. to spread out in readiness for battle
Something which is not thorough or profound
He had the AUDACITY to interrupt the Governor of the State while the latter was addressing a gathering of academicians.
Since it is a negative word only option (D) fits here which is negative and means the same as the question word.
Option (A) is positive.
Hence, cannot replace audacity in the sentence.
Mount Abu : Rajasthan :: Panchmarhi : ?
_ A D A C B _ _ B D C C
1 3 _ _ 1 2 4 2 _ _ _ _
a _ _ b _ _ c d ? ? ? ?
Suppose X denotes the numbers in the first row and Y denotes the numbers in the second row.
Then, the pattern is X2 - X = Y.
32 - 3 = 9 - 3 = 6; 82 - 8 = 64 - 8 = 56; 102 - 10 = 100 - 10 = 90;
22 - 2 = 4 - 2 = 2; 12 - 1 = 1 - 1 = 0.
Similarly, 52 - 5 = 20.
So, the missing number is 5.
Find out the term in the number series which is wrong.
1, 5, 9, 16, 25, 37, 49
Group the following figures into three classes on the basis of identical properties.
Image 1, 3 and 5 are circle related
Image 2, 6, 8 are triangle
Image related 4, 7, 9 are quadrilateral
Please go through following and answer question no.128 to no.131
One of the great delusions of modern times is the prevailing belief that we are more civilized than our ancestors. At no other period in the history of mankind has the word 'civilization' been so often misused and misunderstood. It is not in the abundance of material alone that civilization lies. Neither does it consist of the advances of scientific knowledge, however amazing that may be . The inventions and discoveries of science have undoubtedly brought unheard of blessings and comforts to us. But they are not civilization . What we have failed to see is that civilization is a special way of human behaviour, of thought and feeling . The essential quality of civilization lies in the spirit of man , in his attitude to himself, to his fellowmen and to life as a whole. Looking everywhere around us today , you will find that man has made no progress since the dawn of history , in his attitude towards his fellowmen. On all the highest pillars in the cities of the world, you will find the figure of a conqueror or a general soldier. We know far more about our killers and destroyers than about our saviours and saints. The heroes of war are the heroes of the World .
Q. What have scientific inventions given to mankind?
Please go through following and answer question no.128 to no.131
One of the great delusions of modern times is the prevailing belief that we are more civilized than our ancestors. At no other period in the history of mankind has the word 'civilization' been so often misused and misunderstood. It is not in the abundance of material alone that civilization lies. Neither does it consist of the advances of scientific knowledge, however amazing that may be . The inventions and discoveries of science have undoubtedly brought unheard of blessings and comforts to us. But they are not civilization . What we have failed to see is that civilization is a special way of human behaviour, of thought and feeling . The essential quality of civilization lies in the spirit of man , in his attitude to himself, to his fellowmen and to life as a whole. Looking everywhere around us today , you will find that man has made no progress since the dawn of history , in his attitude towards his fellowmen. On all the highest pillars in the cities of the world, you will find the figure of a conqueror or a general soldier. We know far more about our killers and destroyers than about our saviours and saints. The heroes of war are the heroes of the World .
Q. Does the writer think that we are more civilized than our ancestors?
Please go through following and answer question no.128 to no.131
One of the great delusions of modern times is the prevailing belief that we are more civilized than our ancestors. At no other period in the history of mankind has the word 'civilization' been so often misused and misunderstood. It is not in the abundance of material alone that civilization lies. Neither does it consist of the advances of scientific knowledge, however amazing that may be . The inventions and discoveries of science have undoubtedly brought unheard of blessings and comforts to us. But they are not civilization . What we have failed to see is that civilization is a special way of human behaviour, of thought and feeling . The essential quality of civilization lies in the spirit of man , in his attitude to himself, to his fellowmen and to life as a whole. Looking everywhere around us today , you will find that man has made no progress since the dawn of history , in his attitude towards his fellowmen. On all the highest pillars in the cities of the world, you will find the figure of a conqueror or a general soldier. We know far more about our killers and destroyers than about our saviours and saints. The heroes of war are the heroes of the World .
Q. What is civilization according to the author?
Please go through following and answer question no.128 to no.131
One of the great delusions of modern times is the prevailing belief that we are more civilized than our ancestors. At no other period in the history of mankind has the word 'civilization' been so often misused and misunderstood. It is not in the abundance of material alone that civilization lies. Neither does it consist of the advances of scientific knowledge, however amazing that may be . The inventions and discoveries of science have undoubtedly brought unheard of blessings and comforts to us. But they are not civilization . What we have failed to see is that civilization is a special way of human behaviour, of thought and feeling . The essential quality of civilization lies in the spirit of man , in his attitude to himself, to his fellowmen and to life as a whole. Looking everywhere around us today , you will find that man has made no progress since the dawn of history , in his attitude towards his fellowmen. On all the highest pillars in the cities of the world, you will find the figure of a conqueror or a general soldier. We know far more about our killers and destroyers than about our saviours and saints. The heroes of war are the heroes of the World .
Q. Who are the heroes of the world ?
Please go through following and answer question no.145 to no.146
Select the correct mirror image of the figure (X) from amongst the given alternatives.
Q.
Please go through following and answer question no.145 to no.146
Select the correct mirror image of the figure (X) from amongst the given alternatives.
Q.
Each of the following questions consists of five Problem figures marked 1,2,3,4 and 5 followed by five Answer figures marked A,B,C,D and E . Select a figure from the Answer figures which will continue the same series as given in the Problem figures.
