A conical vessel is lying on a table with its base downwards. The capacity of the vessel is 500 litres and its vertical height is 150 cm. If 244 litres of water is put in the vessel, then what is the height of the water level in the conical vessel above the table?
A)
25 cm
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B)
30 cm
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C)
35 cm
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D)
40 cm
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If an angle of a parallelogram is four-fifth of its adjacent angle, then what is the smaller angle of the parallelogram?
A)
\[100{}^\circ \]
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B)
\[80{}^\circ \]
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C)
\[65{}^\circ \]
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D)
\[60{}^\circ \]
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In a college, 500 students study mathematics and 400 students study economics. If 300 students study both the subjects, then what is the total number of students enrolled in the two subjects?
A)
600
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B)
800
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C)
900
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D)
1200
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In the following figure, a wood stand is shown the numbers represent the length of each side m cm. What is the volume of the stand?
A)
94\[c{{m}^{3}}\]
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B)
144\[c{{m}^{3}}\]
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C)
180\[c{{m}^{3}}\]
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D)
216\[c{{m}^{3}}\]
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What is the L.C.M. of \[\frac{1}{4},\frac{5}{8},\frac{1}{3}\]and\[\frac{3}{16}\]?
A)
15
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B)
\[\frac{1}{48}\]
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C)
\[\frac{5}{4}\]
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D)
\[\frac{1}{4}\]
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If p, q and r are unequal natural numbers such that\[{{p}^{2}}=qr\], then consider the following:
[a] \[\frac{p+r}{r}=\frac{q+p}{p}\] [b] \[\frac{p}{r-p}=\frac{q}{p-q}\] [c] \[\frac{p+r}{r-p}=\frac{q+p}{p-q}\]
Which of the above are correct?
A)
1 and 2 only
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B)
2 and 3 only
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C)
1 and 3 only
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D)
1,2 and 3
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If the height of a cone is decreased by 64%, then by how much percentage should its base radius be increased to maintain the same volume?
A)
25%
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B)
64%
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C)
\[\frac{200}{3}%\]
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D)
\[\frac{500}{3}%\]
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The area of an isosceles triangle is 'a' when the angle included between the two equal sides is 60%. What will be the area if the angle included between the two equal sides becomes \[120{}^\circ \]? (keeping the length of equal sides same as before).
A)
\[\frac{a}{2}\]
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B)
a
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C)
\[\frac{3}{2}a\]
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D)
2a
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Which one of the following is correct? If two angles are complementary of each other, then each angle is:
A)
an obtuse angle
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B)
a right angle
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C)
an acute angle
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D)
a supplementary angle
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Let D be the mid-point of a straight line AB and let C be a point different from D such that CA = CB. Then which one of the following is correct?
A)
\[\angle CDB\]is acute
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B)
\[\angle CDB>\]90°
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C)
\[\angle CDB={{90}^{\text{o}}}\]
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D)
\[CA\bot AB\]
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If \[4{{x}^{2}}-6x+m\]is divisible by\[(x-3)\] which one of the following is the greatest divisor of m?
A)
9
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B)
12
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C)
18
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D)
36
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Given that \[\frac{x}{2}+\frac{y}{4}=k\]and \[\frac{2}{x}+\frac{4}{y}=\frac{k}{2}\] What is the value of xy? (k being a real number)
A)
1
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B)
4
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C)
16
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D)
Cannot be determined unless value of k is known
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Let x, y and z be integer, where x and z are relatively prime. If z divides x y, then which one of the following is correct?
A)
z divides x
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B)
z divides y
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C)
z does not divide y
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D)
z is relatively prime to y.
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What is the time needed to empty a cuboidal water reservoir 10m long, 9 m wide and 3 m deep at the rate of 45 litres per minute?
A)
100 hrs
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B)
90hrs
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C)
80hrs
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D)
60 hrs.
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What is the value of n of a regular polygon of n sides for which its side is equal to the radius of the circumscribed circle?
A)
3
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B)
4
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C)
6
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D)
8
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if\[a=\frac{xy}{x+y},b=\frac{xz}{x+z}\]and \[c=\frac{yz}{y+z}\] where a, b, c are non-zero, then what is value of x?
A)
\[\frac{2abc}{ac+bc-ab}\]
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B)
\[\frac{2abc}{ab-ac+bc}\]
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C)
\[\frac{2abc}{ab+bc+ca}\]
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D)
\[\frac{2abc}{ab+ac-bc}\]
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If \[\sqrt{1-\sqrt{{{x}^{4}}-{{x}^{2}}}}=x-1\]then the value of x is
A)
\[-\frac{5}{4}\]
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B)
\[\frac{5}{4}\]
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C)
\[\frac{1}{4}\]
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D)
\[-\frac{1}{4}\]
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By selling a watch for Rs. 630,a person loses 10%. At what price should he sell it to gain 5%?
A)
Rs.690
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B)
Rs. 735
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C)
Rs. 710
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D)
Rs.740
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If a number x is added to y , then the total becomes t% of y, then what is x:y?
A)
\[\frac{t}{100y}\]
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B)
\[\frac{t-100}{100}\]
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C)
\[\frac{t+100}{100}\]
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D)
\[\frac{ty}{100}\]
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If \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=p\]then what is the value of \[\left( {{x}^{3}}+\frac{1}{{{x}^{3}}} \right)?\]
A)
\[{{p}^{\frac{3}{2}}}\]
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B)
\[\left( p+1 \right)\sqrt{p+2}\]
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C)
\[\left( p-1 \right)\sqrt{p+2}\]
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D)
\[\left( p+1 \right)\sqrt{p-2}\]
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The area under acceleration-time graph represents:
A)
The displacement
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B)
Velocity
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C)
Change in velocity
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D)
Distance travelled.
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A body is thrown vertically upward. Which of the following graphs represents the velocity of the body with time correctly?
A)
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B)
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C)
done
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D)
done
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A car accelerates from rest at a constant rate a for some time, after which it deaccelerates at a constant rate j3 and comes to rest. If the total time elapsed is (, then the maximum velocity acquired by the car is
A)
\[\left( \frac{{{\alpha }^{2}}+{{\beta }^{2}}}{\alpha \beta } \right)t\]
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B)
\[\left( \frac{{{\alpha }^{2}}-{{\beta }^{2}}}{\alpha \beta } \right)t\]
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C)
\[\frac{(\alpha +\beta )}{\alpha \beta }t\]
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D)
\[\frac{\alpha \beta t}{\alpha +\beta }\]
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A ball P is dropped vertically and another ball Q is throw horizontally with the same velocities from the same height and at the same time. If air resistance is neglected, then
A)
Ball P reaches the ground first
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B)
Ball Q reaches the ground first
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C)
Both reach the ground at the same time
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D)
The respective masses of the two balls will decide the time.
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A stone dropped from the top of the tower touches the ground in 4 sec. The height of the tower is
A)
78.4m
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B)
52.2m
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C)
24.0m
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D)
12.8m
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Which of the following is used to represent "rate of change of momentum"?
A)
Kg\[m{{s}^{-1}}\]
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B)
Kg\[{{m}^{-1}}\]
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C)
N
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D)
Kgwt\[{{m}^{-2}}\]
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Which of the following correctly shows the variation of kinetic energy (\[{{E}_{k}}\]) with linear momentum (p)?
A)
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B)
done
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C)
done
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D)
done
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Electron volt is the unit of
A)
Charge of an electron
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B)
Energy
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C)
Power
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D)
Potential difference
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A boat floating in a tank is carrying a number of large stones. If the stones are unloaded into water, what will happen to the water level?
A)
It will increase
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B)
It will decrease
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C)
It will remain constant
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D)
It will depend upon the size of stones
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The reciprocal of resistance is called
A)
Conductance
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B)
Obstruction
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C)
Friction
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D)
Ohm
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For a given mass of a gas, at constant temperature, the graph between pressure (P) and volume (V) is correctly shown by
A)
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B)
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C)
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D)
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Two bars of copper having same length but unequal cross sections are heated to the same temperature. The change in length will be
A)
Equal in both bars
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B)
More in thicker bar
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C)
More in thinner bar
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D)
Nothing can be decided
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The specific resistance of a rod of copper as compared to that of thin wire of copper is
A)
Less
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B)
More
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C)
Same
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D)
Depends upon the length and area of wire
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The current I and voltage F graphs for a given metallic wire at two different temperatures \[{{T}_{1}}\] and \[{{T}_{2}}\] are shown in figure. It is concluded that
A)
T>T,
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B)
T,<T,
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C)
T,=T,
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D)
Nothing can be decided
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The equivalent resistance between points P and Q in the figure is 1 0 What is the value of unknown resistance R?
A)
\[1\,\Omega \]
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B)
\[3\,\Omega \]
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C)
\[6\,\Omega \]
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D)
\[9\,\Omega \]
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Graphite is a good conductor of electricity, because
A)
Its outer shell contains less than four electrons
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B)
Every carbon atom is attached to three other carbon atoms
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C)
Every carbon atom is attached to four other carbon atoms
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D)
None of the above
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When copper wire is heated, its surface turns into black due to the formation of
A)
CuO
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B)
\[C{{u}_{2}}O\]
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C)
\[C{{u}_{2}}S\]
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D)
\[CuS\]
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In combustion reaction any substance reacts with ______.
A)
Hydrogen
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B)
Nitorger
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C)
Oxygen
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D)
Sulphur
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Coke is used in the extraction of metallic ore, because it is.
A)
Good oxidizing agent
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B)
Good reducing agent
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C)
Highly reactive element
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D)
None of the above
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Which of the following elements has the highest melting point?
A)
Iron
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B)
Carbon (graphite)
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C)
Gold
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D)
Aluminium
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The neutral oxides are ______
(I)Carbon monoxide (II) Nitrous oxide
A)
(I) only
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B)
(II) only
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C)
Both (I) and (II)
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D)
None of these
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Metathesis reactions are _____
A)
Combination reactions
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B)
Decomposition reactions
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C)
Displacement reactions
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D)
Double displacement reaction
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Which metal was used in black and white photographic film?
A)
Mercury
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B)
Gold
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C)
Silver
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D)
Platinum
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The metal which is obtained from the sea water is _____.
A)
Sodium
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B)
Aluminium,
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C)
Zinc
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D)
Iron
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Lime water is a
A)
Calcium hydroxide
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B)
Clear solution of calcium hydroxide
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C)
Calcium Oxide
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D)
Calcium carbonate
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The more electronegative element is ____.
A)
Chlorine
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B)
Flourine
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C)
Bromine
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D)
Oxygen
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Combustion of Phosphorous in air is an example of______ .
A)
Rapid combustion
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B)
Spontaneous combustion
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C)
Explosion
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D)
Slow combustion
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The alternative source of energy to reduce air pollution is/are ______.
(I) Solar energy (II) Wind energy (III) Nuclear energy
A)
(I)only
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B)
(II)and (111) only
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C)
(I)and (111) only
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D)
(I)and (11) only
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Queen honey bee lays eggs of:
A)
One type from which all castes develop.
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B)
Two types, one producing queen and workers and other developing into drones.
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C)
Three types giving rise to Queen, workers and drones.
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D)
Unfertilized eggs die while fertilized ones form all castes.
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Berkshire, Large white Yorkshire and Landrace are exotic breeds of
A)
Poultry birds
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B)
Cattle
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C)
Pigs
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D)
Buffaloes
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Azolla is a/an
A)
Bio pesticide used often in the paddy fields
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B)
Improved variety of paddy
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C)
Insecticide used very often in paddy fields
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D)
Excellent bio fertilizer for paddy
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Gonorrhea is
A)
A disease of abnormal gonads in which sperm production decreases of stops
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B)
A sexually transmitted disease resulting in an infection of the urinogenital tract
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C)
A disease of the lungs transmitted through inhalation of sputum laden air
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D)
An abnormal condition of the intestinal tract
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Pancreas in addition to production of pancreatic juice also produces
A)
Bile juice
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B)
Glucagon
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C)
Lymph
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D)
White blood cells
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Artificial insemination involves
A)
The transfer of semen of a male into the female artificially for inducing pregnancy
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B)
Artificial fertilization of the ovum in controlled laboratory conditions
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C)
Implant of an embryo into the uterus of a female
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D)
Transfer of foetus from one female to another under emergency conditions
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Emasculation refers to removal of
A)
Anthers from the flower buds to prevent self pollination
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B)
Male flowers from the plant
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C)
Pistil from the flower buds to make the flower unisexual
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D)
Female flowers from the plant
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Sunflower represents a
A)
Cluster of flowers grouped together to form an inflorescence called head
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B)
Large flower to be very prominent to the insects attempting to visit it for pollen grains
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C)
Highly developed flower that does not require insect help for pollination
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D)
Modified stem
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A gene is the functional segment of DNA that carries the chemical code for
A)
Polypeptide i.e., protein synthesis
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B)
Production of lipids
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C)
Production of starch
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D)
Synthesis of different vitamins
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Succus entericus refers to
A)
Intestinal juice
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B)
Secretion of seminal vesicle into the sperm duct
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C)
Digestive juice of the stomach
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D)
Disorder of the intestine
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Growth hormone that controls the normal growth in human beings is secreted by
A)
Adrenal glands
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B)
Testes
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C)
Ovaries
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D)
Pituitary gland
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The dicot stems are characterized by
A)
Arrangement of vascular bundles in ring form wit cambium passing through eac VB
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B)
Scattered vascular bundles in the ground tissue
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C)
Marked secondary -growth due to the activity of the cambium layer
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D)
Both [a] and [c]
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Symbiotic association of algae and fungi is seen in
A)
Mycorrhiza
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B)
Lichens
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C)
Mushrooms
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D)
Yeasts
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Under Ryotwari system the lands were resurveyed after every
A)
5 years
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B)
10 years
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C)
20 years
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D)
30 years
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Sidhu Manji was the leader of
A)
Bhill rebellion
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B)
Santhal rebellion
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C)
Kol rebellion
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D)
Paharias rebellion
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The Enneld Rifle were introduced by which Governor General?
A)
Hardinge
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B)
Dalhousie
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C)
Wellesley
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D)
William Bentinck
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In 1855 Wajid Ali Shah was the nawab of
A)
Bengal
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B)
Hyderabad
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C)
Jaunpur
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D)
Awadh
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The first Hill station founded by the English is ______.
A)
Darjeeling
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B)
Shimla
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C)
Mussoorie
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D)
Mount Abu
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Fort St. George of English East India Company was at ______ .
A)
Bombay
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B)
Calcutta
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C)
Madras
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D)
Bangalore
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Muslim League was founded in 1906 by Agha Khan and Nawab Salimulla at
A)
Dhaka
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B)
Lahore
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C)
Karachi
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D)
Peshawar
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Gandhji withdrew the Non-Cooperation Movement in the year
A)
1919
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B)
1920
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C)
1921
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D)
1922
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Pooma Swaraj resolution was passed at which of the following places?
A)
Karachi
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B)
Lahore
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C)
Surat
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D)
Calcutta
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1ST is ahead of GMT by
A)
\[5\frac{1}{2}\]hours
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B)
5 hour?
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C)
\[4\frac{1}{2}\]hours
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D)
4 hours
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Champaran Movement was launched to support
A)
Textile mill workers
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B)
Indigo farmers
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C)
Landlords
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D)
Peasants against high taxes
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m 1937 out of 11 provinces of British India, the Indian National Congress won in how many provinces?
A)
10
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B)
9
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C)
8
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D)
7
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Who was the head of interim govt. formed by the Indian National Congress before Independence?
A)
Mahtama Gandhi
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B)
Jawahar Lal Nehru
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C)
SardarPatel
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D)
None of these
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The strength of democracy is its ability to uphold the values for which it stands for and they are
A)
Freedom and Equality
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B)
No right to vote
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C)
Danger of revolution
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D)
None of these
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A system in which only who are in power and their supporters are benefitted is
A)
Democracy
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B)
Dictatorship
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C)
Republic
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D)
None of these
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Leaders of the freedom movement that India should be a ______ country.
A)
Communist
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B)
Socialist
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C)
Democratic
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D)
Military Riled
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In India free and fair elections are ensured by
A)
Election Commission
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B)
MLAs
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C)
Simon Commission
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D)
MPs
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In India, some times election is held only for one constitutency to fill the vacant seat, it is a
A)
General Election
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B)
Mid term election
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C)
Vidhan Sabha Election
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D)
By-Election
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The President of India is the highest formal authority of the
A)
State
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B)
Nation
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C)
Parliament
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D)
Judiciary
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Which of the following rights protect us from unfair practices?
A)
Right to freedom
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B)
Right against exploitation
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C)
Right to equality
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D)
Right to constitutional remedies
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The Prime Minister is the leader of the political party that has a majority in the
A)
Lok Sabha
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B)
Rajya Sabha
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C)
Vidhan Sabha
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D)
All of these
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An institution where disputes between a citizen and the Government of India are finally settled is
A)
District Court
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B)
High Court
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C)
Supreme Court
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D)
Panchayat
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In India, a national assembly of elected representatives is called the
A)
Supreme Court
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B)
Parliament
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C)
Constituent assembly
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D)
Elective assembly
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Who sets the minimum wages?
A)
Finance Minister
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B)
Home Minister
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C)
Law Minister
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D)
Ministry of Labour
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What are the sources of environmental pollution?
A)
Air
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B)
Water
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C)
Soil
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D)
All of these
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In Indian democracy there are two types of executives. They are:
A)
Political and Permanent Executives
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B)
Permanent and Government Executives
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C)
Government and Political Executives
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D)
None of these
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Which of the following is not a soil conservation method?
A)
Contour ploughing
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B)
Strip cropping
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C)
Over grazing
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D)
Terrace farming
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Which of the following Indian states have enormous potential for the development of wind and solar energy?
A)
J&K and Sikkim
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B)
Punjab and Haryana
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C)
Rajasthan and Gujarat
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D)
Rajasthan and Sikkim
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Parks and playgrounds are
A)
Individual Resources
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B)
Community Resources
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C)
International Resources
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D)
Potential Resources
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Which medicinal plant has high antibiotic and antibacterial properties?
A)
Sarpagandha
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B)
Neem
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C)
Kachnar
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D)
Babool
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Tidal forest are found in ______ .
A)
The Narmada Tapi Delta
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B)
The Krishna-Kaveri Delta
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C)
Ganga-Brahmaputra Delta
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D)
Ganga-Mahanadi Delta
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On which river is Sardar Sarovar dam located?
A)
Kaveri
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B)
Mahanadi
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C)
Brahmaputra
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D)
Narmada
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Largest producer of pulses in the world is
A)
Indonesia
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B)
India
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C)
Pakistan
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D)
U.S.A.
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Jowar, Bajra and Ragi are ______.
A)
Pulses
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B)
Millets
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C)
Spices
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D)
All of these
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Which one of the following industries uses limestone as a raw material?
A)
Aluminium
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B)
Cement
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C)
Sugar
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D)
Jute
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Which of the following is a seasonal industry?
A)
Cotton Textile
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B)
Jute Industry
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C)
Sugar industry
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D)
Iron and Steel Industry
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Excessive population threatens the environment because
A)
It exerts pressure on natural resources
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B)
It causes imbalance in ecosystem
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C)
Both [a] & [b]
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D)
All are incorrect
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Adolescents are generally grouped in the age group of ______ to ______
A)
10, 30 years
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B)
5. 19 years
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C)
10, 19 years
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D)
5. 31 years
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______ is the key in development of all resources as well as enhancing its own resource value.
A)
Human resource
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B)
Human number
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C)
Population density
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D)
All of these
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