Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
A)
4
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B)
10
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C)
15
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D)
16
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In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is
A)
4236
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B)
4306
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C)
4336
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D)
5336
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After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 children would not have got sweets after equal distribution. What was the total number of sweets?
A)
328
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B)
348
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C)
358
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D)
378
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A person was asked to state his age in years. His reply was, 'Take my age three years hence, multiply it by 3 and then subtract three times my age three year ago and you will know how old I am.' What was the age of the person?
A)
18 years
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B)
20 years
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C)
24 years
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D)
32 years
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A company advertises a rate of interest as k% on its fixed deposits. If the interest is compounded n times a year, then the effective rate of compound interest from year to year works out to
A)
\[100\left\{ {{\left( 1+\frac{k}{100n} \right)}^{n}}-1 \right\}\]
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B)
\[{{\left( 1+\frac{k}{n} \right)}^{n}}-1\]
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C)
\[\frac{100}{n}\left\{ {{\left( 1+\frac{k}{n} \right)}^{n}}-1 \right\}\]
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D)
\[\frac{100}{n}\left[ {{\left( 1+\frac{n}{100k} \right)}^{k}}-1 \right]\]
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View Answer play_arrow
The expression \[\frac{1}{x-1}-\frac{1}{x+1}-\frac{2}{{{x}^{2}}+1}-\frac{4}{{{x}^{4}}+1}\] simplifies to
A)
\[\frac{8}{{{x}^{7}}+1}\]
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B)
\[\frac{8}{{{x}^{7}}-1}\]
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C)
\[\frac{8}{{{x}^{8}}+1}\]
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D)
\[\frac{8}{{{x}^{8}}-1}\]
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View Answer play_arrow
The expression \[\frac{{{\left( x+\frac{1}{y} \right)}^{a}}{{\left( x-\frac{1}{y} \right)}^{b}}}{{{\left( y+\frac{1}{x} \right)}^{a}}{{\left( y-\frac{1}{x} \right)}^{b}}}\] reduces to
A)
\[{{\left( \frac{y}{x} \right)}^{a+b}}\]
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B)
\[{{\left( \frac{x}{y} \right)}^{a+b}}\]
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C)
\[{{\left( \frac{y}{x} \right)}^{a-b}}\]
done
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D)
\[{{\left( \frac{x}{y} \right)}^{a-b}}\]
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View Answer play_arrow
If the hypotenuse of a right angled triangle is 41 cm and the area of the triangle is 180 \[c{{m}^{2}}\], then the difference between the lengths of the legs of the triangle must be
A)
22 cm
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B)
25 cm
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C)
27cm
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D)
31 cm
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In the adjoining figure, CE||DB. What is the value of \[x\]?
A)
\[{{45}^{o}}\]
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B)
\[{{75}^{o}}\]
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C)
\[{{30}^{o}}\]
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D)
\[{{85}^{o}}\]
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View Answer play_arrow
If \[{{2}^{x}}={{3}^{y}}={{6}^{-z}}\], then \[\left( \frac{1}{x}+\frac{1}{y}+\frac{1}{z} \right)\] is equal to:
A)
0
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B)
1
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C)
\[\frac{3}{2}\]
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D)
\[-\frac{1}{2}\]
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A sphere of maximum volume is cut out from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut out sphere is
A)
3 : 2
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B)
4 : 1
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C)
4 : 3
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D)
7 : 4
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Find the length of canvas 1.25 m wide required to build a conical tent of base radius 7 metres and height 24 metres.
A)
240 m
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B)
540 m
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C)
440 m
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D)
375 m
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Polygon in which the sum of interior angles is equal to half the sum of the exterior angles is a
A)
Pentagon
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B)
Hexagon
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C)
Quadrilateral
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D)
None of these
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If the radius of a sphere is tripled, how many times will its volume become?
A)
26
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B)
27
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C)
8
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D)
9
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If the diagonals of a quadrilateral are perpendicular to each other, then it is
A)
Square only
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B)
Rhombus only
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C)
Square and Rhombus only
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D)
Quadrilateral other than square and Rhombus is also possible
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The milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C containing half milk and half water?
A)
7 : 5
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B)
1 : 1
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C)
5 : 3
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D)
7 : 3
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\[\frac{3}{8}\]th of \[\frac{4}{9}\]th of 1092 is equal to
A)
182
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B)
728
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C)
364
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D)
218
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View Answer play_arrow
The number 40500 is said to end in two zeroes. How many zeroes are in the end of \[({{5}^{1999}}\times {{2}^{1998}}\times {{10}^{2000}})\]?
A)
1999
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B)
2000
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C)
3998
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D)
3999
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A)
75
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B)
35
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C)
32
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D)
9
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If \[xy=6\]and \[x+{{x}^{2}}y+x{{y}^{2}}+y=63\], then \[{{x}^{2}}+{{y}^{2}}\] is equal to
A)
23
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B)
55
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C)
69
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D)
81
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Calculate the angular speed of the seconds hand of a clock, assuming that it moves with a uniform angular speed,
A)
\[\frac{2\pi }{3}rad/s\]
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B)
\[\frac{\pi }{3}rad/s\]
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C)
\[\frac{\pi }{30}m{{s}^{-1}}\]
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D)
\[\frac{\pi }{30}rad\,{{s}^{-1}}\]
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View Answer play_arrow
If a planet existed whose mass and radius were both half those of the earth, the acceleration due to gravity at its surface would be
A)
\[19.6\,m{{s}^{-2}}\]
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B)
\[9.8\,m{{s}^{-2}}\]
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C)
4.9 \[m{{s}^{-2}}\]
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D)
2.45 \[m{{s}^{-2}}\]
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Pressure of a liquid on the bottom of a vessel
A)
N
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B)
N \[k{{g}^{-1}}\]
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C)
\[N\,{{m}^{-1}}\]
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D)
\[N\,{{m}^{-2}}\]
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The earth's gravitational force causes an acceleration of 5 \[m{{s}^{-2}}\]in a 1 kg mass somewhere space. How much will the acceleration of a 3 kg mass be at the same place?
A)
5 \[\,m{{s}^{-2}}\]
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B)
\[\,\frac{3}{5}m{{s}^{-2}}\]
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C)
\[\,\frac{9.8}{5}m{{s}^{-2}}\]
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D)
Zero
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View Answer play_arrow
A boy is shortsighted, but is not wearing spectacles. Which of the following statements
A)
He cannot see distant objects clearly.
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B)
The images of distant objects are formed in front of his retina.
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C)
The eye ball of the boy is too long.
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D)
The eye defect can be corrected by wearing converging lenses.
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Which of the following has no units?
A)
Power of a lens
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B)
Refractive index of a medium
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C)
Average velocity
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D)
Buoyant force
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Atom bomb is based on the principle of
A)
Uncontrolled nuclear fission
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B)
Nuclear fusion
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C)
Controlled nuclear fission
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D)
None of these
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The rule that predicts the direction of motion of a current-carrying conductor when placed in a magnetic field is
A)
Fleming's left hand rule
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B)
Fleming's right hand rule
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C)
Maxwell's right hand grip rule
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D)
Maxwell's screw rule
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An atmosphere
A)
Is a unit of pressure
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B)
Is a unit force
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C)
Gives us an idea of composition of air
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D)
Is the height above which there is no air
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A raft of wood (density 600 kg/\[{{m}^{3}}\]) of mass 120 kg floats in water. How much weight can be put on the raft to make it "just sink"?
A)
40 kg
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B)
80 kg
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C)
120 kg
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D)
200 kg
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If an iron ball and a wooden ball of the same radius are released from a height ?h? in vacuum, then time taken by both of them to reach ground will be
A)
unequal
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B)
exactly equal
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C)
roughly equal
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D)
zero
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A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of
A)
3 s
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B)
5 s
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C)
7 s
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D)
9 s
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If P, V respectively denote the pressure and volume of a gas for a fixed mass of a gas, then which of the following graphs correctly shows the variation between PV and V of the gas at constant temperature?
A)
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B)
done
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C)
done
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D)
done
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If muscle times speed equals power, what does muscle stand for?
A)
Pressure
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B)
Energy
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C)
Force
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D)
Linear momentum
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A resistor of 20 cm length and 5 ohm resistance is stretched to a uniform wire of 40 cm length. The resistance now is
A)
5 \[\Omega \]
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B)
10 \[\Omega \]
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C)
20 \[\Omega \]
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D)
200 \[\Omega \]
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What happens when zinc granules are added to copper sulphate solution in a test tube?
I. Zinc granules have no regular shape II. Zinc granules have silvery grey colour III. The colour of zinc granules changed to brownish black. Choose the correct option:
A)
I only
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B)
II only
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C)
III only
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D)
I, II, III
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View Answer play_arrow
Copper reacts with dil. \[{{H}_{2}}S{{O}_{4}}\] on heating to produce
A)
\[S{{O}_{2}}\]
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B)
\[{{H}_{2}}\]
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C)
\[{{O}_{2}}\]
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D)
None of these
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The only non-metal in the liquid state is
A)
Iodine
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B)
Phosphorous
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C)
Bromine
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D)
Sulphur
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The _________ container cannot be used to store \[CuS{{O}_{4}}\].
A)
Plastic
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B)
Glass
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C)
Iron
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D)
Copper
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Which of the following is not correct?
A)
\[Zn+CuS{{O}_{4}}\to CuS{{O}_{4}}+Fe\]
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B)
\[Fe+ZnS{{O}_{4}}\to FeS{{O}_{4}}+Zn\]
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C)
\[2AI+3ZnS{{O}_{4}}\to A{{l}_{2}}(S{{O}_{4}})\]\[+3Zn\]
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D)
\[Cu+ZnS{{O}_{4}}\to CuS{{O}_{4}}+Zn\]
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View Answer play_arrow
During a chemical reaction, atomic number ______.
A)
Changes
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B)
Remains same
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C)
Changes and then restored
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D)
Changes alternately
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View Answer play_arrow
Amphoteric oxides are _________ in nature.
A)
Acidic
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B)
Basic
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C)
Acidic as well as basic
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D)
Some are basic as well as neutral
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Which product of the coal is used in roofing material?
A)
Coal tar
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B)
Coal gas
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C)
Coke
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D)
All of the above
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The almost pure form of carbon is
A)
Coal
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B)
Coke
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C)
Coal gas
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D)
None of the above
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The petroleum product used as fuel in the heavy motor vehicles is
A)
Petrol
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B)
Diesel
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C)
Kerosene
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D)
All of the above
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The incorrect option for the conservation of fossil fuel (petrol, diesel, etc.) while driving is
A)
Ensure correct tyre pressure
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B)
Switch off the engine at traffic signals
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C)
Ensure regular maintenance of the vehicle
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D)
None of these
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View Answer play_arrow
The eruption of fire in coal mine?
A)
Spontaneous combustion
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B)
Rapid combustion
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C)
Explosion
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D)
None of the above
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View Answer play_arrow
The colour of innermost zone of candle flame is
A)
Yellow
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B)
Blue
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C)
Red
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D)
Black
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View Answer play_arrow
An eukaryotic cell is characterized by____
A)
Presence of well organized nucleus only
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B)
Presence of many chromosomes in the nucleus only
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C)
Membrane bound cell organelles in the cytoplasm only
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D)
All of the above
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The unit of inheritance in living organisms is the ____
A)
Chromosome
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B)
Nucleus
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C)
Gene
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D)
Zygote
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In cell culture, coconut milk is usually added along with other nutrients. This is because coconut milk is rich in
A)
Auxin
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B)
Gibberellin
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C)
Cytokinin
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D)
ABA
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All plants, animals and microorganisms in an area along with non-living components such as climate, soil etc make up the
A)
Biosphere
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B)
Ecosystem
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C)
Habitat
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D)
Biome
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The property of cell membrane which helps amoeba to perform endocytosis is
A)
Membrane fluidity
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B)
Membrane flexibility
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C)
Membrane Asymmetry
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D)
All the above
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The crops which are sown in rainy season are
A)
Cash crops
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B)
Kharif crops
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C)
Rabi crops
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D)
Winter crops
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when a disease causing microbe enters our body responds by producing
A)
Antibiotics
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B)
Antibodies
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C)
Resisting bodies
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D)
None of the above
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The disease causing microorganisms are also called
A)
Bad microorganisms
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B)
Disease causers
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C)
Disease agents
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D)
Pathogens
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Adam's apple that is the protruding part of the throat is seen in:
A)
Both young boys and girls at the time of puberty
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B)
Only in boys at the time of puberty
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C)
Only in girls at the time of puberty
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D)
In some boys and most girls at the time of puberty
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View Answer play_arrow
The sex chromosome pair in human male is
A)
YY
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B)
XY
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C)
XX
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D)
may be XY or YY
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View Answer play_arrow
Look at the given picture and select the correct option:
A)
Dividing egg
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B)
Dividing zygote
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C)
Stage of binary fission of Amoeba
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D)
Dividing red blood cell
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External fertilisation takes place in
A)
Fish
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B)
Frog
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C)
Hens
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D)
Both [a] and [b]
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View Answer play_arrow
Which of the following tissues provides mechanical support?
A)
Sclerenchyma
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B)
Parenchyma
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C)
Meristem
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D)
Chlorenchyma
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The British conquest of India was complete by
A)
1757
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B)
1765
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C)
1857
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D)
1856
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Who was the first Indian woman to become President of Indian National Congress in 1917?
A)
Mira Ben
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B)
Annie Besant
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C)
Sister Nivedita
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D)
Sarojini Naidu
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Civil Disobedience movement of 1930 began with
A)
Bharat Chhoro Andolan
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B)
Salt march
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C)
Asahyog Andolan
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D)
Bahishkar Andolan
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Who formed a society of 'Khudai Khidmatgars' or servants of God?
A)
Mohammad Ali
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B)
Shaukat Ali
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C)
Khan Abdul Ghaffar Khan
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D)
Hasrat Mohani
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Who said "Swaraj is my birth right and I shall have it"?
A)
Gandhiji
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B)
Bhagat Singh
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C)
Lala Lajpat Rai
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D)
Bal Gangadhar Tilak
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Who discovered the sea route to India in 1498?
A)
Christopher Columbus
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B)
Marco Polo
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C)
Vasco de Gama
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D)
None of these
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View Answer play_arrow
Farman refers to
A)
Duty
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B)
Law
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C)
Rank
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D)
None of these
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View Answer play_arrow
The first English factory was set up in 1612 at
A)
Surat
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B)
Hugh
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C)
Madras
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D)
Bombay
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According to which policy, Indian rulers were not allowed to have their independent armed forces?
A)
Doctrine of Lapse
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B)
Permanent Settlement
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C)
Subsidiary alliance
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D)
Mahalwari system
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View Answer play_arrow
Muskets and Matchlocks were _____.
A)
Arms and Weapons
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B)
Dress of English army
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C)
Instruments
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D)
None of these
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View Answer play_arrow
The British Conquest of Bengal began with the
A)
Battle of B uxar
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B)
Battle of Panipat
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C)
Battle of Seringapatam
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D)
Battle of Plassey
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View Answer play_arrow
A popular newspaper - The Times of India was started in
A)
1861
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B)
1865
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C)
1890
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D)
1875
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View Answer play_arrow
Spinning Jenny was invented by
A)
James Hargreaves
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B)
Richard Arkwright
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C)
Michael Faraday
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D)
None of these
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View Answer play_arrow
As India is a secular country, its government
A)
Bars things done in the name of religion
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B)
Allows its citizens to practice and preach any religion of their choice
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C)
Gives grants to religious institutions
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D)
Celebrates religious festivals in the offices
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Who can make laws on the subjects mentioned in the Concurrent List?
A)
Union government
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B)
State government
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C)
Both [a] & [b]
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D)
None of these
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The Constitution prohibits these specific evils and declares them illegal. They are
A)
'Traffic' of human beings only
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B)
Child labour only
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C)
Forced labour only
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D)
All of these
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View Answer play_arrow
Which statement is correct?
A)
The Parliament controls the Executive
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B)
The Speaker controls the Speaker
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C)
The Vice-President controls the prime Minister
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D)
All of the above are correct
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View Answer play_arrow
The members of the Rajya Sabh are
A)
Elected directly
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B)
Elected indirectly
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C)
Nominated
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D)
Partly directly
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View Answer play_arrow
This refers to an offence for which the police may arrest a person without the permission of a court:
A)
Cognizable
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B)
Cross examine
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C)
Criminal
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D)
None of these
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View Answer play_arrow
India is a secular country and its government:
A)
Has things done in the name of religion
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B)
Allows citizens to follow any religion
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C)
Gives grants to religious institution
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D)
Celebrates religious festivals in offices
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View Answer play_arrow
The Right to Information Act cane on
A)
12th Oct., 2005
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B)
24th Oct. 1999
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C)
10th Oct., 2006
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D)
2nd Oct., 1998
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View Answer play_arrow
Which one of the following is justiciable?
A)
Fundamental Duties
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B)
Fundamental Rights
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C)
Directive Principles of State Policy
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D)
All of the above
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Which one of the following is not part of the Preamble to the Constitution?
A)
Secularism
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B)
Socialism
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C)
Federalism
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D)
Soverign, democratic republic
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View Answer play_arrow
Joothan is an autobiography written by
A)
Jawaharlal Nehru
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B)
Bhim Rao Ambedkar
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C)
Omprakash Valmiki
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D)
Mahatma Gandhi
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View Answer play_arrow
In India, the President is the
A)
Nominal head
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B)
Real head
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C)
Nominal and real head
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D)
All of the above
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The people who make advertisements try to a product by using
A)
Images
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B)
Texts
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C)
Personal emotions
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D)
All of these
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Which one of the following is an example of source having ethical value?
A)
National park
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B)
Iron ore
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C)
Crops
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D)
Water
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correct example of non renewable resource?
A)
Fossil fuels
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B)
Wood
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C)
Solar energy
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D)
Wind energy
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Which of the following is a man-made resource?
A)
Labour
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B)
Technology
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C)
Children
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D)
Minerals
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Which resource fulfils 95 percent of our food requirement?
A)
Land
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B)
Water
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C)
Wind
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D)
All of these
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Which of the following grows in the region of scanty rainfall?
A)
Cactus only
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B)
Khair only
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C)
Keekar only
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D)
All of these
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Which type of forests occur in the regions sear the equator and close to the tropics?
A)
Coniferous forests
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B)
Mediterranean forest
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C)
Tropical evergreen forest
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D)
Temperate deciduous forest
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Which of the following is a soft wood tree?
A)
Rosewood
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B)
Cedar
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C)
Ebony
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D)
Mahogany
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The largest solar plant of India is located at
A)
Madhapur near Bhuj
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B)
Nagarcoil in Tamilnadu
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C)
Madurai in Tamilnadu
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D)
Chennai
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Sunlight, wind and biomass are the
A)
Conventional sources of energy
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B)
Non-conventional sources of energy
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C)
Instant sources of energy
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D)
None of these
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Which of the following minerals is found in placer deposits?
A)
Gold
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B)
Bauxite
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C)
Gypsum
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D)
Salt
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Commercial agriculture is best developed in
A)
Himachal Pradesh
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B)
Punjab
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C)
Madhya Pradesh
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D)
Karnataka
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Rubber is a product of
A)
Plantation agriculture
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B)
Mixed farming
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C)
Special Horticulture
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D)
Shifting agriculture
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Which of the following states has the highest literacy rate?
A)
Mizoram
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B)
Manipur
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C)
Kerala
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D)
Bihar
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