The LCM of two prime numbers x and y\[\left( x>y \right)\]is 161. The value of\[(3y-x)\]is
A)
\[-2\]
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B)
\[-1\]
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C)
1
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D)
2
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A cone, a hemisphere and a cylinder have equal radii of their bases and equal heights. The ratio of their volume is
A)
1 : 2 : 3
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B)
2 : 1 : 3
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C)
2 : 3 : 1
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D)
3 : 2 : 1
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The radius of the base of a conical tent is 7 m and its height is 24 m. What length of canvas, 1.25 m wide will be required for this tent?
A)
220 m
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B)
210 m
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C)
440 m
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D)
660 m
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If 5 men or 9 women can finish a piece of work in 19 days, 3 men and 6 women will do the same work in
A)
10 days
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B)
12 days
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C)
13 days
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D)
15 days
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Due to 25% fall in the rate of eggs, one can buy 2 dozen eggs more than before by investing Rs. 162. What was the original rate per dozen?
A)
Rs. 22
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B)
Rs. 24
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C)
Rs. 27
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D)
Rs. 30
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Of the three numbers, the ratio of the first and the second is 8 : 9 and that of the second and third is 3 : 4. If the product of the first and third numbers is 2400, then the second number is
A)
45
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B)
40
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C)
30
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D)
35
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The average of 100 numbers is 44. The average of these 100 numbers and four other new number is 50. The average of the four new numbers will be
A)
800
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B)
200
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C)
176
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D)
24
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The marked price of an article is 10% more than the cost price and a discount of 10% is given on the marked price. In this kind of sale, the seller
A)
bears no loss and no gain
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B)
gains 1 %
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C)
loss 1 %
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D)
None of the above
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If\[x+y+z=0,\] then\[({{x}^{2}}+xy+{{y}^{2}})\]is equal to
A)
\[({{y}^{2}}+yx+{{z}^{2}})\]
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B)
\[({{y}^{2}}-yz+{{z}^{2}})\]
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C)
\[({{z}^{2}}-zx+{{x}^{2}})\]
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D)
\[({{z}^{2}}+zx+{{x}^{2}})\]
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If p= 999, then the value of \[\sqrt[3]{p({{p}^{2}}+3p+3)+1}\]is
A)
1000
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B)
999
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C)
998
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D)
1002
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In\[\Delta PQR,PS\] is the bisector of\[\angle P\] and\[PT\bot QR,\]then\[\angle TPS\]is equal to
A)
\[\angle Q+\angle R\]
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B)
\[90{}^\circ +\frac{1}{2}\angle Q\]
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C)
\[90{}^\circ -\frac{1}{2}\angle R\]
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D)
\[\frac{1}{2}(\angle Q-\angle R)\]
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ABCD is a rectangle E, F of are the mid points of BC and AD respectively and G is any point on EF, then\[\Delta GAB\] equals
A)
\[\frac{1}{6}\](area of rectangle ABCD)
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B)
\[\frac{1}{4}\](area of rectangle ABCD)
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C)
\[\frac{1}{3}\](area of rectangle ABCD)
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D)
\[\frac{1}{2}\](area of rectangle ABCD)
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PQ is a tangent to the circle at R, then then is\[m\,\,\angle PRS\] equal to
A)
\[30{}^\circ \]
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B)
\[40{}^\circ \]
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C)
\[60{}^\circ \]
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D)
\[80{}^\circ \]
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If \[x=r\sin \theta \cos \phi ,\] \[y=r\sin \theta \sin \phi ,\] \[z=r\cos \theta ,\]then \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}\] is equal to
A)
\[{{r}^{2}}{{\cos }^{2}}\phi \]
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B)
\[{{r}^{2}}\sin \theta +{{r}^{2}}{{\cos }^{2}}\phi \]
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C)
\[{{r}^{2}}\]
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D)
\[\frac{1}{{{r}^{2}}}\]
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If\[cot\theta =\frac{7}{24}\]and\[\pi <\theta <\frac{3\pi }{2},\]then the value of\[\cos \theta -\sin \theta \] is
A)
\[\frac{19}{25}\]
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B)
\[\frac{18}{35}\]
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C)
\[\frac{17}{25}\]
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D)
\[\frac{18}{25}\]
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Direction: Select the related words/letters from the given options. Creator: Destroyer :: ?
A)
Begin : Proceed
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B)
Commence : Terminate
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C)
Prohibit : Restrain
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D)
Continue : Prolong
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Direction: Select the related words/letters from the given options. BZC : CYD :: DXE :?
A)
DVE
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B)
FEW
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C)
EVF
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D)
EWF
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Direction: In each question given below three of the following four are alike in a certain way and so form a group. Which one does not belong to that group?
A)
BFJN
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B)
CCKO
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C)
FGHI
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D)
LPTX
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Direction: In each question given below three of the following four are alike in a certain way and so form a group. Which one does not belong to that group?
A)
53
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B)
101
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C)
87
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D)
151
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Direction: In each question given below three of the following four are alike in a certain way and so form a group. Which one does not belong to that group? Arrange the following according to the dictionary. 1. Tortoise 2. Toronto 3. Torped 4. Toru 5. Torsel
A)
2, 5, 3, 1, 4
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B)
2, 5, 3, 4, 1
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C)
2, 3, 5. 1, 4
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D)
2, 3, 5, 4, 1
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Direction: In each question given below three of the following four are alike in a certain way and so form a group. Which one does not belong to that group? Which set of letters when sequentially placed at the gaps in the given letter series shall complete it? \[\_a\_aaaba\_\_ba\_ab\_\]
A)
abaaaa
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B)
abaaba
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C)
aababa
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D)
ababaa
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Direction: Choose the correct alternative from the given once that will complete the series. BAF, FAJ, JAN, NAR, ?
A)
RAP
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B)
SAQ
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C)
REW
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D)
RAV
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Direction: Choose the correct alternative from the given once that will complete the series. KTZ, MNX, OIV, QET, ?
A)
SBR
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B)
SAP
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C)
RAS
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D)
SAQ
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A and C are children of B. B is the father of A but C is not the son of B. How is C related to A?
A)
Cousin
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B)
Sister
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C)
Daughter
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D)
Brother
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Sushil is better player than Anil but not as good as Rajat. Anil is a better player than Jamal. Kapil is a better player than Sushil but not as good as Rajat. Who is the best player of all?
A)
Kapil
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B)
Sushil
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C)
Rajat
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D)
jamal
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In a certain code language GENIUS is written as HDOHVR. How will HONOUR be written in the same code?
A)
GPMPTS
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B)
INOOTS
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C)
IPMPVS
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D)
INONVQ
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Select the missing numbers from the given responses.
1 4 ? 4 2 5 2 2 3 49 64 169
A)
3
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B)
1
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C)
5
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D)
6
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Facing towards North Shreya walks 20 m. She turns left and walks 60 m, She again turns left and walks 20 m, then she turns right and walks 20 m. Then, she turns left and walks 10m and again turns left and walks 80 m. How far is she from her original position?
A)
150 m
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B)
70 m
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C)
100 m
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D)
10 m
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In question below given two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts. Statements: All tomatoes are red. All grapes are tomatoes. Conclusions: I. All grapes are red. II. Some tomatoes are grapes.
A)
Only conclusion I follows
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B)
Only conclusion II follows
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C)
Either conclusion I or II follows
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D)
Both conclusions I and II follow
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What is the number which is common to only two geometrical figures?
A)
4
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B)
3
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C)
5
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D)
2
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Ursa a Minor is
A)
the name of a satellite
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B)
the name of an Island
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C)
a group of stars that form the little ipper in the most Northern constellation
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D)
the name of a disease in USA
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Which one of the following is known as the virility vitamin?
A)
Vitamin A
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B)
Vitamin C
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C)
Vitamin E
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D)
Vitamin K
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The protein deficiency disease is known as
A)
Kwashiorkor
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B)
Cirrhosis
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C)
Eczema
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D)
Clyolses
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They disease dropsy affects
A)
stomach
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B)
spinal cord
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C)
liver
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D)
kidney
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Which one of the following does a TV reunite control unit use to operate a TV set?
A)
Light waves
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B)
Sound waves
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C)
Microwaves
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D)
Radio waves
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A bullet of mass 'm' and velocity 'a' is fired into a large block of wood of mass 'M'. The final velocity of the system is
A)
\[\frac{m+M}{m}a\]
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B)
\[\frac{M}{m+M}a\]
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C)
\[\frac{m+M}{M}a\]
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D)
\[\frac{m}{m+M}\text{a}\]
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Which of the following physical quantities have the same dimensions?
A)
Angular momentum and work
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B)
Kinetic energy and velocity
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C)
Work and torque
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D)
Potential energy and linear momentum
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A car is running on a road at a uniform speed of 60 km/h. The net resultant force on the car is
A)
driving force in the direction of car's motion
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B)
resistance force opposite to the direction of car's motion
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C)
an inclined force
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D)
equal to zero
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When deep sea fishes are brought to the surface of the sea, their bodies burst. This is because the blood in their bodies flows at very
A)
high speed
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B)
high pressure
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C)
low speed
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D)
low pressure
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If a pendulum clock is brought on the Moon, then the period of oscillation of the pendulum clock becomes
A)
decreased
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B)
increased
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C)
zero
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D)
infinite
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A passenger in a moving train tosses a five rupees coin. If the coin fells behind him, then the train must be moving with a uniform
A)
acceleration
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B)
deceleration
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C)
speed
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D)
velocity
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The solution of rubber is an example of
A)
lyophobic colloid
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B)
multimolecular colloid
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C)
associated colloid
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D)
macromolecular colloid
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At constant temperature the product of pressure and volume of a given amount of a gas is constant. This is
A)
Gay-Lussac law
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B)
Charle's law
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C)
Boyle's law
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D)
Pressure law
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Dry ice is used for making cold-baths in laboratories by mixing with volatile organic solvents. Identify the form of dry ice from the following.
A)
Gaseous carbon dioxide
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B)
Liquid carbon dioxide
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C)
Solid carbon dioxide
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D)
Solid hydrogen oxide
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In an atomic explosion, enormous energy is released which is due to the
A)
conversion of neutrons into protons
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B)
conversion of chemical energy into heat energy
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C)
conversion of chemical energy into nuclear energy
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D)
conversion of mass into energy
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In a developed economy the major share of employment originates in the
A)
primary sector
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B)
tertiary sector
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C)
secondary sector
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D)
All of the above
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'MODVAT' stands for
A)
Modified Value Added Tax
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B)
Modern Value Added Tax
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C)
Multi Value Added Tax
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D)
None of the above
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The Quorum of the Legislative Council is
A)
one-fourth of its total membership or 10
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B)
one-fourth of its membership
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C)
one-tenth of its membership or 10 whichever is greater
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D)
25
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A money bill duly passed by the Lok Sabha can be held up by Rajya Sabha for a maximum time limit of
A)
two years
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B)
six months
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C)
three months
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D)
fourteen days
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The overall objective of Fundamental Rights are to ensure
A)
Democratic Government
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B)
Individual Liberty
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C)
Judicial in Dependence
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D)
Secularism
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The most striking feature of the Ashokan pillar is polish. Name the Ashokan pillar which is considered to be most graceful of all Ashokan pillars.
A)
Sarnath
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B)
Rampurva
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C)
Lauriya-Nandangrah
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D)
Rummindei
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Consider the following events 1. Cabinet Mission Plan 2. Bombay Plan 3. Wavell Plan 4. Mountbatten Plan The correct chronological order of these events is
A)
2, 3, 1, 4
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B)
2, 1, 4, 3
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C)
1, 2, 3, 4
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D)
1, 2, 4, 3
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The common name of sodium bicarbonate is
A)
Baking powder
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B)
Soda ash
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C)
Baking soda
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D)
Soda lime
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Broadly, there are three layers of the Earth of the crust, the mantle and the core. The crust forms what percentage of the volume of the Earth?
A)
0.5
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B)
2.5
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C)
7.5
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D)
12.5
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Darjeeling and Dharamsala would be the right places to visit if one wanted to get a clear view respectively of
A)
Kanchanjunga and Dhauladhar ranges
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B)
Nanda Devi and Dhauladhar ranges
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C)
Kanchanjunga and Nanda Devi ranges
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D)
Nanda Devi and Nanga Parbat
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Match List I and List II and select the answer using the codes given below the lists.
List I (Names) List II (Constitution) A. SN Bose 1. Theory of Numbers B. S Chandarsekhar 2. Elementary C. S Ramanujan 3. Astronomy D. Aryabhatta 4. Theory of black holes
Codes
A)
A\[\to \]2, B\[\to \]1, C\[\to \]4, D\[\to \]3
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B)
A\[\to \]4, B\[\to \]3, C\[\to \]2, D\[\to \]1
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C)
A\[\to \]2, B\[\to \]4, C\[\to \]1, D\[\to \]3
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D)
A\[\to \]3, B\[\to \]1, C\[\to \]4, D\[\to \]2
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Digital Computers use a..... system to encode date and programs.
A)
semi conductor
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B)
decimal
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C)
binary
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D)
RAM
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Consider the following peaks 1. Kanchanjunga 2.\[{{\text{K}}_{2}}\] 3. Nanga Parbat 4. Nanda Devi The correct sequence of these peaks in descending order of their heights is
A)
2, 3, 1, 4
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B)
2, 1, 3, 4
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C)
1, 2, 3, 4
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D)
1, 3, 4, 2
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The difference in latitude between the Tropic of Cancer and the Tropic of Capricorn is
A)
\[23{}^\circ \]
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B)
\[47{}^\circ \]
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C)
\[66{}^\circ \]
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D)
\[90{}^\circ \]
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The first writer to use Urdu as the medium of poetic expression was
A)
Amir Khusrau
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B)
Mirza Ghalib
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C)
Bahadur Shah Zafar
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D)
Faiz
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Kuchipudi is a dance drama of which of the following states?
A)
Andhra Pradesh
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B)
Kerala
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C)
Karnataka
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D)
Tamil Nadu
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Who wrote the novel 'Mrignayani'?
A)
Vrindavan Lal Verma
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B)
Acharya Chatursen
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C)
Amrat Lal Nugar
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D)
Bhagwati Charan Verma
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Which one of the following is not coal variety?
A)
Peat
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B)
Dolomite
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C)
Lignite
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D)
Bituminous
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'Abhinava Bharat'a secret society of revolutionaries was organised by
A)
Khudiram Bose
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B)
VD Savarkar
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C)
Prafulla Chaki
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D)
Bhagat Singh
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Trysem'means
A)
Training Programme for Young Entrepreneur for Self Employment
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B)
Training of Young Unemployed for Self Employment
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C)
Training Programme of Rural Youth for Self Employment
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D)
Training Women at Home for Self-Employment
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The term 'capital-output ratio' refers to
A)
the number of units of capital required to produce one unit of output
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B)
the productivity of capital in certain earmarked sectors of the economy over a given period
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C)
rate of return on capital
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D)
rate of growth of investment
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Mixed economy is a combination of
A)
private and public sector
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B)
capitalism and communism
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C)
capitalism and socialism
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D)
commercial and individual business
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Which of the following countries in the world implemented the enhanced data rates for GSM evolution for the first time?
A)
Japan
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B)
Germany
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C)
Finland
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D)
United States
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Which one of the following computer is the first program-controlled electromechanical computing machine/computer?
A)
ABC
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B)
Colossus
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C)
J3
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D)
Z3
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Who of the following is an accomplished vocalist?
A)
Monu Mazumdar
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B)
Shiv Kumar Sharma
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C)
Satish Gujral
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D)
Dinanath Mishra
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The book 'The God of small things' is written by
A)
Pupul jayakar
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B)
Sobha De
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C)
Shekhar Kapoor
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D)
Arundhati Roy
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Which of the following states is called 'Tiger State'of India?
A)
Himachal Pradesh
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B)
Gujarat
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C)
Madhya Pradesh
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D)
Assam
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Which among the following is the most competitive country, according to World Economic Forum?
A)
USA
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B)
England
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C)
Singapore
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D)
Switzerland
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FINA is the governing body of which sport?
A)
Polo
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B)
Water Polo
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C)
Chess
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D)
Archery
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Mention the odd man out.
A)
Didier Daroga
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B)
Oliver Khan
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C)
Lionet Messi
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D)
Cristiano Ronaldo
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