Following graph is plotted between displacement and time. Its acceleration is best described as (where b, c are +ve constants)
From the graph it is clear
Velocity is the slope of displacementtime graph. It is first negative, then zero and finally, positive. Hence, velocity continuously increasing so acceleration must be always positive.
For acute angle θ, find value of sec2θ−tan2θ
The oxidation states of Satoms in Marshall’s acid and Caro’s acids are respectively
Marshall’s acid is H_{2}S_{2}O_{8} and Caro’s acid is H_{2}SO_{5}
O state of S = +6
First ionisation energy is lowest for
An electron return from excited state to ground state in Hatom and emits a photon of wavelength l, the principle quantum number of excited state is given by
If resistance R = (100 ± 5) Ω and current I = (10 ± 0.2) A. The percentage error in thermal power (P = I^{2}R) is
As P = I^{2}R
Hence, relative error in thermal power
Hence, % error in power = 9%.
If the system of linear equations : x+ 3y +7z = 0 x + 4y +7z = 0 (sin3θ)x+ (cos2 θ)y +2z = 0 has a nontrivial solution, then the number of values of θ lying in the interval [0, π], is
The number of integral values of m for which the equation, (1 + m^{2}) x^{2} – 2(1 + 3m) x + (1 + 8m) = 0, has no real root, is:
The negation of A →(A v ∼ B) is
Which of the following compound does not decompose on heating?
Na_{2}CO_{3} does not decompose whereas NaHCO_{3}, MgCO_{3} and Ca(HCO_{3})_{2} decompose on heating
If a particle moving in a straight line with uniform acceleration starting from rest covers displacement S_{1} in pth second and displacement S_{2} in (p + 1)th second, then the displacement upto p seconds is given by
Displacement in n^{th} second
Adding equation (1) and (2)
Substituting the value of a from equation (3)
If f is a function of real variable x satisfying f(x + 4) – f(x + 2) +f(x) = 0, then f is a periodic function with period:
f(x + 4) – f(x + 2) + f(x) = 0 f(x + 6) – f(x + 4) + f(x + 2) = 0
∴ f(x + 6) + f(x) = 0
⇒ f(x + 12) + f(x + 6) = 0
∴ f(x + 12) = f(x)
⇒ f(x) is periodic with period 12.
A box contains 5 black and 4 white balls. A ball is drawn at random and its colour is noted. The ball is then put back in the box along with two additional balls of its opposite colour. If a ball is drawn again from the box, then the probability that the ball drawn now is black, is
A particle is moving in uniform circular motion with speed v of radius R. The ratio of average velocity to average acceleration in half of the circle
Average velocity from A to B
Average acceleration from A to B
Lest S = (z ε C : z(iz1  1) = z1 + 1, z1 + 1, Then, for all z ε S, which of the following is always true?
Find the odd one out. 8, 27, 64, 100, 125, 216, 343
The drawing represents a flat piece of sheet. The dotted lines show where the sheet has to be folded. Find the object that can be made by folding the sheet.
Find the mirror image
Which one of the answer figures, shows the correct view of the 3D problem figure, after the problem figure opened up.
Bibi ka maqbara’ bears a striking resemblance to which famous monument?
_____________is generally used as reinforcement in RCC.
It has been used from foundations to the rooftop of the buildings, in the construction of highways, roads traffic etc.
Find the odd one out. 396, 462, 572, 427, 671, 264
Select from the alternatives, the cube that can be formed by folding the following sheet:
What is the value of angle of response for clay(dry) soil.
The depth of footing should also be such that the rate of angle of spread of the load from the wall base to the outer edge of ground bearing does not exceed the permissible value.
_______________is the world’s 2nd largest stadium and is located in India
Which of the answer figures is the correct water reflection of the problem figure?
Insert the missing number. 16, 33, 65, 131, 261, (....)
So, the next number is (2 x 261 + 1) = 523.
Out of the given figures, four are similar in a certain way,one is not. Which figure does not belong to the group?
______________is the architect of ‘Bharat Bhavan’ in Bhopal.
Identify the building in the given image
The indentation on the top of a brick is called
Which of the following buildings is NOT designed by Hafeez Contractor?
Find the odd one out. 3, 5, 11, 14, 17, 21
The number '14' is the only EVEN number.
Which one of the following is not built in red sandstone?
___________is the ancient science of construction / architecture.
The problem figure in the box on the left has one identical figure from amongst A, B, C and D on the right. Find the figure
(A) a
(B) b
(C) c
(D) d
The famous Empire State building is in which of the following cities?
If a sheet of paper is folded two/three times from the centre and cuts are made as shown, how will it appear when it is opened?
The drawing represents a flat piece of sheet. The dotted lines show where the sheet has to be folded. Find the object that can be made by folding the sheet.
Arrange the objects given the question figure, according to the stated manner and choose the correct composite figure.
S between P & R, R on the ground, Q touching S only
The problem figure in the box on the left has one identical figure from amongst A, B, C and D on the right. Find the figure
Insert the missing number. 10, 5, 13, 10, 16, 20, 19, (....)
Identify the building from the given image.
Fallingwater is a house designed by architect Frank Lloyd Wright in 1935 in rural southwestern Pennsylvania, 43 miles southeast of Pittsburgh
Out of the given figures, four are similar in a certain way,one is not. Which figure does not belong to the group?
Every great architect necessarily  a great poet. He must be an original interpreter of his time, his day, his age. Was quoted by which famous architect ?
Out of the given figures, four are similar in a certain way,one is not. Which figure does not belong to the group?
Arrange the objects given the question figure, according to the stated manner and choose the correct composite figure.
R on the ground only, P touching S only, P between Q & R
Find the odd one out. 10, 25, 45, 54, 60, 75, 80
Arrange the objects given the question figure, according to the stated manner and choose the correct composite figure.
Q on the top, P touching Q, R between S and P.
Find the odd one out. 6, 9, 15, 21, 24, 28, 30
Each of the numbers except 28, is a multiple of 3
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