Test: BITSAT Mock Test- 13
150 Questions MCQ Test BITSAT Mock Tests Series & Past Year Papers | Test: BITSAT Mock Test- 13
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If E₀ represents the peak value of the voltage in an A.C. circuit, the r.m.s. value of the voltage will be
If M is atomic mass, A is mass no. of a nucleus, then M-A/A is called
In a Wheatstone's bridge, all the four arms have equal resistance R. If resistance of the galvanometer arm is also R, then equivalent resistance of the combination is
Monochromatic light of frequency 6.0 x 1014 Hz is produced by a laser. The power emitted is 2 x 10 − 3 W . The number of photons emitted, on the average, by the source per second is
A distance 'r' from a point charge, the ratio u/ V2 (where 'u' is energy density and 'V' is potential) is represented by:
Two liquids of densities ρ₁ and ρ₂ and coefficients of viscosity η₁ and η₂ are found to flow through a capillary tube at the same rate. The ratio of η₁/η₂ is
A wire of length L and area of cross-section A is made of material of Young's modulus y. If the wire is stretched by the amount x, the work done is
A projectile can have the same range 'R' for two angles of projection. If 't₁' and 't₂' be the times of flights in the two cases, then the product of the two time of flights is proportional to
A block of mass 'm' rests on a horizontal table. A string tied to the block is passed on a frictionless pulley fixed at the end of the table and to the other end of string is hung another block of mass 'm'2. The acceleration of the system is
The kinetic energy of a particle, executing simple harmonic motion is 16 J when it is in its mean position. If the amplitude of oscillations is 25 cm and the mass of the particles is 5.12 kg, the time period of its oscillation is
Two points are located at a distance of 10 m and 15 m from the source of oscillation . The period of oscillation is 0.05 sec and the velocity of the wave is 300 m/sec. What is the phase difference between the oscillations of two points ?
If I is the moment of inertia of a body and ω is its angular velocity, then the rotational kinetic energy is
The neutral temperature of a thermocouple is 350oC when the cold junction is at 0oC.When the cold junction is immersed in a bath of 30oC,the inversion temperature is
A gas is compressed at a constant pressure of 50 N/m2 from a volume of 10 m3 to a volume of 4 m3. Energy of 100 J is then added to the gas by heating. Its internal energy is
In Young's double slit experiment, the width of the fringes obtained with light of wavelength 6000 Angstrom is 2.0mm. The fringe width, if the entire apparatus is immersed in a liquid of refractive index 1.33, will be
Fringe width in Young's double slit experiment β = Dλ /d
When apparatus is immersed in liquid, only wavelength of light (λ) changes
Wavelength of light is liquid,
λ' = λ / n , where n = refractive index of medium
Initial fringe width, β = Dλ /d .....(i)
Fringe width in liquid, β' = Dλ' /d .....(ii)
Dividing Equation (ii) by Equation (i), we get
The phase difference between two points separated by 0.8 m is π/4. If velocity of the wave is 256 m-s⁻1, then its frequency will be
Which of the following is not isostructural with SiCl₄?
The rate constant for a first order reaction whose half life is 480 sec. is
The amount of heat required to raise the temperature of a body temperature through 1oC is called, its
For example, -CH3, -NH2, -NHCH3 etc.
The substituents or groups which direct the incoming group to the metaposition are called meta- directing groups. For example,
-NO2, -CN, -SO3H etc.
So the correct answer is -NH2
The area in square units bounded by the curves y = x3, y = x2 and the ordinates x = 1, x = 2 is
The molecular mass of CO2 is 44 a.m.u. Avogadro Number is 6.02 x 1023 . Therefore the mass of one molecule of CO2 is
In the expansion of (1+x)n (1-x)m the coefficient of x and x2 are 3 and -6 respectively, then m is
The limiting point of the system of co-axial circles x2+y2-6x-6y+4=0, x2+y2-2x-4y+3=0 is
Length of the common chord of the circles x2 + y2 + 5x + 7y + 9 = 0 and x2 + y2 + 7x + 5y + 9 = 0 is
In which interval the function f(x) = - 2x3 - 9x2 - 12x + 1 is decreasing
f(x) = - 2x3 - 9x2 - 12x + 1
f' (x) = - 6x2 - 18x - 12
Since f(x) is decreasing
∴ f'(x) < 0
⇒ - 6x2 - 18x - 12 < 0
or x2 + 3x + 2 > 0
or (x + 1) (x + 2) > 0
∴ The interval is (-∞, -2) and (-1, ∞)
If two towers of heights h₁ and h₂ subtend angles 60o and 30o respectively at the midpoint of the line joining their feet, then h₁:h₂
If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points are
The general equation of a straight line is linear: ax + by + c = and the general equation of a hyperbola (but it's the same for all conics) is a second degree equation:
1. Ax2 + Bxy + Cy2 + Dx + Ey + F = 0
So, finding y ( or x ) from the first equation and substituting in the second, we have a second degree equation that has, at most, two real solutions. The possible cases are:
1) two real distinct solutions: the line is secant at two points
2) two coincident solution: the line is tangent
3) no real solution : the line is e''external''
4) the equation reduce to a first degree equation so we have one real solution and we say that the other solution goes to infinity.
So, for two lines that are not tangent we can have:
no common point with the conic if the two lines are external,
2 points if one is secant at two pints and the other is external or if both have one real common point with the conic an the other at infinity,
3 common points if one is secant at two points and the other at one point,
4 common points if the two lines are both secants at two points.
Which of the following functions is a solution of the differential equation (dy/dx)2 - x (dy/dx) + y = 0?
f(x) = [x/(1 + ∣x∣)] is differentiable, is
For all integers n ≥ 1 , which of the following is divisible by 9
If n = 2 then 8n + 1 = 65, 32n + 3n + 1 = 88, 10n + 1 = 101 which are not divisible by 9
But 4n - 3n - 1 = 9, divisible by 9
aij = aji ∀ i,j, then A is a
The point on the curve y = x2 + 4x + 3 which is closest to the line y = 3x + 2 is
If A and B are square matrices and A⁻1 and B⁻1 of same order exists, then (AB)⁻1 is equal to
The equation of pair of lines which are perpendicular to the pair of lines ax2+2hxy+by2=0 is
If the normal at the point t on a parabola 
= 4ax meet it again at t2, then t2 =
For the parabola y2 + 6 y − 2 x + 5 = 0
1. The vertex is − 2, − 3
2. The directrix is y + 3 = 0
Which of the following is correct?
The angles of a triangle are in the ratio 3:5:10. Then the ratio of the smallest side to the greatest side is
In Δ A B C , If a2 + b2 + c2 = 8R2 , then the triangle is
If a, b and c are real numbers such that a2 + b2 + c2 = 1, then ab + bc + ca lies in the interval
If the pth, qth and rth terms of a G.P. are l, m and n respectively, then lq-r mr-p np-q is
Let A and R be the first term and common ratio of G.P. respectively
nth term of G.P., ln = ARn - 1
pth term of G.P. = l
∴ ARp - 1 = l.....(1)
qth term of G.P. = m
∴ ARq - 1 = m .....(2)
rth term of G.P. = n
∴ ARr - 1 = n.....(3)
lq - r mr - p np - q
= (ARp - 1)q - r * (ARq - 1)r - p * (ARr - 1)p - q
= Aq - r R(p - 1) (q - r) * Ar - p R(q - 1) (r - p) * Ap - q R(r - 1) (p - q)
= Aq - r + r - p + p - q * Rpq - pr - q + r + qr - pq - r + p + pr - qr - p + q
= A0 * R0
= 1 * 1
= 1
If f : N x N → N is such that f (m,n) = m + n where N is the set of natural numbers, then which of the following is true?
The equation of the sphere with centre (3, 6, -4) and touching the plane
2x - 2y - z - 10 = 0 is
As the required sphere touches the plane
2x - 2y - z - 10 = 0 .....(1)
∴ Radius of the required sphere = ⊥ from the center (3, 6, -4) of the required sphere to the plane (1)
∴ The required equation of the sphere is given by
(x - 3)2 + (y - 6)2 + (z + 4)2 = 16 (Central form)
⇒ x2 + 9 - 6x + y2 + 36 - 12y + z2 + 16 + 8z = 16
⇒ x2 + y2 + z2 - 6x - 12y + 8z + 45 = 0
The general solution of sin2 x − 2 cos x + 1/4 = 0 is
All these measures will AUGMENT employment.
DIMINISH means 'to become or make something become smaller, weaker etc'
They are refugees in need of........
The most important task of the Air Force is to.........the country against an air attack by an enemy.
I have MALICE towards none.
Its antonym will be 'Sympathy'
One who can use either of his hands with ease
To walk with slow or regular steps is to
This job is very TEDIOUS.
Tiresome is direct link as being a boring job can be a reason of tiring but it is not the direct meaning of the word
The spectators looked at the batsman in AMAZEMENT when he hit sixer after sixer.
In the context of situation given in sentence it can be said that people will look batsman in wonder but not in surprise after titting a sixer as batsman is there to score maximu, there is not surprise if he hits a sixer
But there can be a wonderful feeling in spectators
Car : Petrol : : Television : ?
1,5,11,19,29,55
29 - 19 = 10; 55 - 29 = 26
Pattern gets disturbed at last stage
∴ 55 is wrong
It should be 29 + 12 = 41
_ baa _ aab _ a _ a
Group the following figures into three classes on the basis of identical properties.
1,5,7 have two similar elements, one inside the other.
2,4,8 have one element placed inside a different element.
3,6,9 have two similar elements, one inside the ohter and the area between the two elements is shaded.
In fig. (A), 10 - 4 = 6, 18 - 10 = 8, 18 - 4 = 14.
In fig. (B), 14 - 8 = 6, 22 - 14 = 8, 22 - 8 = 14.
In fig. (C), 11 - 5 = 6, 15 - 11 = 4.
So, missing number = 15 - 5 = 10.
Diversity typically provides fresh perspectives on issues, but it makes it more difficult to unify the team and reach agreements. The strongest case for diversity on work teams is when these teams are engaged in problem-solving and decision-making tasks. Heterogeneous teams bring multiple perspectives to the discussion, thus increasing the likelihood that the team will identify creative or unique solutions. Additionally, the lack of common perspective usually means diverse teams spend more time discussing issues, which decrease the chances that a weak alternative will be chosen. However, keep in mind that the positive contribution that diversity makes to decision-making teams undoubtedly declines over time. Diverse groups have more difficulty working together and solving problems, but this dissipates with time. Expect the value- added component of diverse teams to decrease as members become more familiar with each other and the team becomes more cohesive.
Q. Diversity on work team leads to
Diversity typically provides fresh perspectives on issues, but it makes it more difficult to unify the team and reach agreements. The strongest case for diversity on work teams is when these teams are engaged in problem-solving and decision-making tasks. Heterogeneous teams bring multiple perspectives to the discussion, thus increasing the likelihood that the team will identify creative or unique solutions. Additionally, the lack of common perspective usually means diverse teams spend more time discussing issues, which decrease the chances that a weak alternative will be chosen. However, keep in mind that the positive contribution that diversity makes to decision-making teams undoubtedly declines over time. Diverse groups have more difficulty working together and solving problems, but this dissipates with time. Expect the value- added component of diverse teams to decrease as members become more familiar with each other and the team becomes more cohesive.
Q. With diversity in work-force there is
Diversity typically provides fresh perspectives on issues, but it makes it more difficult to unify the team and reach agreements. The strongest case for diversity on work teams is when these teams are engaged in problem-solving and decision-making tasks. Heterogeneous teams bring multiple perspectives to the discussion, thus increasing the likelihood that the team will identify creative or unique solutions. Additionally, the lack of common perspective usually means diverse teams spend more time discussing issues, which decrease the chances that a weak alternative will be chosen. However, keep in mind that the positive contribution that diversity makes to decision-making teams undoubtedly declines over time. Diverse groups have more difficulty working together and solving problems, but this dissipates with time. Expect the value- added component of diverse teams to decrease as members become more familiar with each other and the team becomes more cohesive.
Q. Advantages of diversity
Diversity typically provides fresh perspectives on issues, but it makes it more difficult to unify the team and reach agreements. The strongest case for diversity on work teams is when these teams are engaged in problem-solving and decision-making tasks. Heterogeneous teams bring multiple perspectives to the discussion, thus increasing the likelihood that the team will identify creative or unique solutions. Additionally, the lack of common perspective usually means diverse teams spend more time discussing issues, which decrease the chances that a weak alternative will be chosen. However, keep in mind that the positive contribution that diversity makes to decision-making teams undoubtedly declines over time. Diverse groups have more difficulty working together and solving problems, but this dissipates with time. Expect the value- added component of diverse teams to decrease as members become more familiar with each other and the team becomes more cohesive.
Q. Problem-solving tasks can be handled by
Select the correct mirror image of the figure (X) from amongst the given alternatives.
Q. 