Find the total number of prime factors in the expression \[{{(4)}^{11}}\times {{(7)}^{5}}\times {{(11)}^{2}}\]
A)
18
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B)
29
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C)
110
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D)
22
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To fill the tank, 25 buckets of water are required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth .of its present value?
A)
10
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B)
35
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C)
\[62\frac{1}{2}\]
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D)
none of these
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A boy goes to his school from his house at a speed of 3 km. p. h. and returns at a speed of 2 km. p. h. If he takes 5 hours in going and coming, the distance between his house and school is
A)
5km
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B)
5.5km
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C)
6km
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D)
6.5 kms
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1f \[a+\frac{1}{a}=\sqrt{3}\]then the value of \[{{a}^{3}}+\frac{1}{{{a}^{3}}}\] is
A)
0
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B)
3
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C)
\[3\sqrt{3}\]
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D)
\[9\sqrt{3}\]
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One of the factor of the expression \[(8{{x}^{3}}27{{y}^{3}}-{{Z}^{3}}-18xyz)\]is
A)
\[(2x-3y+z)\]
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B)
\[(2x-3y-z)\]
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C)
\[(2x+3y-z)\]
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D)
\[(2x-3y+z)\]
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D is a point in the hypotenuse BC of a right- angled triangle ABC. If \[\angle ABD=\angle BAD\]then
A)
AD = BD = DC
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B)
\[AD\ne BD=DC\]
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C)
\[AD\ne BD\ne DC\]
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D)
\[AD=BD\ne DC\]
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The length of a cuboid is 16 cm. Its breadth and height are 14 cm and 7 cm respectively The ratio of its surface area and the volume (numerically) is
A)
31 :46
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B)
43 :56
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C)
31:56
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D)
none of these
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The altitude drawn to the base oisosceles triangle is 8 cm and the perimeter is 32 cm. The area of the triangle is
A)
\[60.25\,c{{m}^{2}}\]
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B)
\[70\,c{{m}^{2}}\]
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C)
\[80\,c{{m}^{2}}\]
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D)
\[48\,c{{m}^{2}}\]
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A sum of money invested at compound interest amounts to Rs 4624 in 2 years and to Rs 4913 in 3 years. The sum of money is
A)
Rs4096
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B)
Rs 4260
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C)
Rs4335
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D)
Rs4360
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If\[{{2}^{2x-1}}=\frac{1}{{{8}^{x-3}}}\]then the value of x is
A)
3
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B)
2
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C)
0
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D)
-2
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The product of the ages of Ankit and Dolly is 240. If twice the age of Dolly is more then Ankit's age by 4 years, what is Dolly?s age?
A)
10 years
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B)
16 years
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C)
12 years
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D)
15 years
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Due to reduction of \[6\frac{1}{4}%\]in the sugar, a man is able to buy 1 kg more for Rs. 480. Find the original price of sugar per kg.
A)
Rs30
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B)
Rs32
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C)
Rs36
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D)
Rs40
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If (x-k) is a common factor of \[q{{x}^{2}}+2x+p\]and \[q{{x}^{2}}+x+r\] then k has the value
A)
\[r+p\]
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B)
p-q
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C)
\[2r-p\]
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D)
r-p
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X,Y, Z are the mid-points of the sides of the triangle ABC and 0 is its circumcentre, then o is also the
A)
Circumcentre of the A XYZ
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B)
IncentreoftheAXYZ
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C)
Orthoeentre of the A XYZ
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D)
None of these
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The value of x in the given polygon is
A)
\[{{105}^{\text{o}}}\]
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B)
\[{{115}^{\text{o}}}\]
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C)
\[{{95}^{\text{o}}}\]
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D)
\[{{119}^{\text{o}}}\]
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If \[x+y=\sqrt{3}\] and \[x-y=\sqrt{2}\], then the value of \[8xy({{x}^{2}}+{{y}^{2}})\]
A)
\[5\sqrt{2}\]
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B)
\[10\sqrt{2}\]
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C)
20
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D)
5
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If Rs I 540 be divided amongst A, B and C in such a way that the share ofB is equal to \[\frac{3}{11}\] of what A and C together receive. The share of B is
A)
Rs330
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B)
Rs310
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C)
Rs297
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D)
Rs440
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What is the smallest number which when increased by 5 is divisible by 28, 36, 63 and 108 ?
A)
761
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B)
756
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C)
751
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D)
766
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The expression \[\frac{.0203\times 2.92}{.0073\times 14.5\times .7}\]when simplified gives.
A)
0.8
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B)
8
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C)
80
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D)
0.08
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A man sold a watch at a loss of 7 %. Had he been able to sell it at a gain of 9 %, it would have fetched Rs 64 more than it did earlier. The cost price of the watch is
A)
Rs360
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B)
Rs400
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C)
Rs464
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D)
Rs364
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Atmosphere is equal to
A)
\[1.01\times {{10}^{-5}}N{{m}^{-2}}\]
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B)
\[1.01\times {{10}^{-3}}N{{m}^{-2}}\]
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C)
\[1.01\times {{10}^{3}}N{{m}^{-2}}\]
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D)
\[1.01\times {{10}^{5}}N{{m}^{-2}}\]
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Which of the following units can be used to correctly express universal gravitational constant ?
A)
\[N{{m}^{-2}}k{{g}^{-2}}\]
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B)
\[N{{m}^{2}}k{{g}^{2}}\]
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C)
\[kg\,{{m}^{3}}{{s}^{-2}}\]
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D)
\[k{{g}^{-1}}\,{{m}^{3}}{{s}^{-2}}\]
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A body travelling with uniform acceleration crosses two point P and Q with velocities 20 \[m{{s}^{-1}}\]and 30 \[m{{s}^{-1}}\]respectively. What is the velocity at mid-point of P and Q?
A)
\[25m{{s}^{-1}}\]
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B)
\[24\,m{{s}^{-1}}\]
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C)
\[25.5\,m{{s}^{-1}}\]
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D)
none of these
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The two ends of a train moving with a constant acceleration pass a certain point with velocities u and v. The velocity with which the middle point of train passes the same point is
A)
\[\frac{u+v}{2}\]
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B)
\[\frac{{{u}^{2}}+{{v}^{2}}}{2}\]
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C)
\[\sqrt{\left( \frac{{{u}^{2}}+{{v}^{2}}}{2} \right)}\]
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D)
\[\sqrt{{{u}^{2}}+{{v}^{2}}}\]
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A monkey of mass 20 kg is holding a vertical rope which breaks under a force of 25 kg . What is the maximum acceleration with which the monkey can climb up the rope?
A)
\[2.5\,m{{s}^{-2}}\]
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B)
\[5\,m{{s}^{-2}}\]
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C)
\[7.5\,m{{s}^{-2}}\]
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D)
\[10\,m{{s}^{-2}}\]
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Fusion reaction is also known as
A)
Chemical reaction
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B)
Elastic scattering
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C)
Thermonuclear reaction
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D)
Photo nuclear reaction
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India exploded her first underground nuclear device at
A)
Ranchi
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B)
Kota
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C)
Jaipur
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D)
Pokhran
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Which of the following countries ranks first in the world to produce electricity from wind ?
A)
India
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B)
USA
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C)
Japan
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D)
Denmark
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The radiation carrying heat energy is
A)
Visible light
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B)
Infra-red radiation
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C)
Ultraviolet radiation
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D)
Micro-wave
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A white light falls on the glass prism. The least deviated colour is
A)
Violet
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B)
Orange
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C)
Red
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D)
Yellow
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In which case does the P.E. decrease ?
A)
On compressing the spring
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B)
On stretching a spring
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C)
On moving a body against gravity
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D)
On rising of an air bubble in water
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The slope of kinetic energy versus displacement curve of a particle in motion is :
A)
Equal to the acceleration
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B)
Inversely proportional to acceleration
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C)
Directly proportional to acceleration
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D)
Equal to momentum
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What is equivalent resistance between comers A and B of the triangle shown ? Each resistance has a of value ID.
A)
\[\frac{1}{2}\Omega \]
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B)
\[1\Omega \]
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C)
\[\frac{3}{2}\Omega \]
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D)
\[2\Omega \]
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An infinite ladder network of resistances is constructed with 1 Q and 2 Q. resistances as shown in fig. The effective resistance between A and B is
A)
\[2\Omega \]
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B)
\[3\,\Omega \]
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C)
\[4\,\Omega \]
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D)
\[5\,\Omega \]
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The equivalent resistance between A and B will be
A)
\[\frac{8}{3}\Omega \]
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B)
\[\frac{25}{4}\,\Omega \]
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C)
\[16\,\Omega \]
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D)
\[\frac{3}{20}\,\Omega \]
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The fire extinguisher controls the fire by
A)
Cutting off the supply of oxygen
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B)
Reducing the temperature
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C)
Both [a] and [b]
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D)
Neither [a] nor [b]
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The two free ends of an electric circuit containing a cell and a bulb, is dipped into an electrolyte, but the bulb is not glowing, because
(i)The bulb may be fused (ii) Current may be weak (iii) Cell may be discharged
A)
(i) is correct
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B)
(i)and (iii) are correct
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C)
(i) and (ii) are correct
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D)
(i), (ii) and (iii) are correct
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The quality of coal is determined on the basis of
A)
Amount of carbon present in it
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B)
Quantity of smoke produced on burning it
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C)
Both [a] are [b] are correct
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D)
Neither [a] nor [b] are correct
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The superior quality of coal is
A)
Peat
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B)
Lignite
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C)
Bituminous
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D)
Anthracite
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Find the odd one out from the following fuels:
A)
Coal
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B)
Petroleum
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C)
Natural gas
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D)
Ethanol
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The only non metal which is good conductor of electricity is
A)
Sulphur
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B)
Phosphorous
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C)
Graphite
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D)
Diamond
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The ? is also known as artificial silk.
A)
Rayon
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B)
Nylon
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C)
Both [a] and [b]
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D)
Neither [a] nor [b]
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The greenish colour substance formed on the surface of copper when exposed to moist air for long time
A)
Combination of \[Cu{{(OH)}_{2}}\]and \[CuC{{O}_{3}}\]
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B)
Combination of \[Cu{{(OH)}_{2}}\]and \[CuO\]
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C)
Combination of \[Cu{{(OH)}_{2}}\]and \[C{{u}_{2}}O\]
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D)
Combination of CuO and \[CuC{{O}_{3}}\]
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The origin of all synthetic fibres is
A)
Petrochemicals
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B)
Chemicals
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C)
Both [a] and [b]
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D)
Neither [a] nor [b]
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The electronic configuration of carbon is
A)
2,3
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B)
2,4
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C)
2, 5
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D)
2, 6
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The products obtained after destructive distillation of carbon is are
A)
Coal tar
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B)
Coke
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C)
Coal gas
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D)
All are correct
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Which of the following metals cannot be beaten into thin wires ?
A)
Sodium
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B)
Iron
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C)
Aluminium
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D)
Silver
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A yellow solid element is burnt in the presence of oxygen to produce suffocating gas, which causes acid rain. Identify the element.
A)
Phosphorous
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B)
Carbon
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C)
Sulphur
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D)
None of these
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The shape and size of the cell depends on
A)
Size of the body of the organism
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B)
Function of the cell
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C)
Number of cells in the body of the organism
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D)
None of these is correct.
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During ripening of fruits, eg. tomato, colour of the tomato changes as plastids can undergo transformation. Which of the following plastid is unable to change into other types of plastid ?
A)
Chloroplast
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B)
Chromoplast
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C)
Leucoplast
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D)
All of these
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Pachmarhi Biosphere reserve is situated in
A)
The hilly regions of Assam andArunachal Pradesh
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B)
Western ghats along the Arabian sea coast
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C)
Satpura region of central India
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D)
Nilgiri hills.
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The variety of wild plants found in a region is called
A)
Fauna of that region
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B)
Flora of that region
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C)
Wild vegetation of that region
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D)
Forests of that region
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Kharif crops include
A)
Paddy
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B)
Linseed
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C)
Gram
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D)
Both [a] and [b]
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Amoeba can exhibit Endocytosis due to the presence of its
A)
Food vacoule formed in the cytoplasm
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B)
Contractile Vacoule
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C)
Flexible cell membrane
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D)
All the above
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Hydrolytic enzymes present in the lysosomes are synthesized by
A)
Smooth Endoplasmic reticulum
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B)
Rough Endoplasmic reticulum
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C)
Golgi bodies
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D)
Centriole
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Malaria is caused by
A)
Paramecium
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B)
Amoeba
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C)
Plasmodium
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D)
Euglena
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Mammary glands in the mammals is a modified
A)
Salivary gland
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B)
Sebaceous gland
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C)
Sweat gland
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D)
Pituitary gland
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The hormones released by the endocrine glands are transported to the target site by digestive system
A)
digestive system
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B)
venous blood
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C)
arterial blood
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D)
nerves
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Look at the figure and select the correct option:
A)
sperm duct, 2- testis, 3- penis
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B)
1-sperm duct, 2-penis, 3-testis
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C)
penis, 2- sperm duct, 3- testis
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D)
1- urinary bladder, 2- sperm duct, 3- testis
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A common mode of reproduction seen in malarial parasite is
A)
sexual reproduction
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B)
binary fission
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C)
multiple fission
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D)
fragmentation
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Pulse programme is associated with
A)
Cancer
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B)
Polio
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C)
Tuberculosis
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D)
AIDS
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When was the Battle of Plassey fought?
A)
1757
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B)
1758
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C)
1759
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D)
None of these
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Who was the first Governor General of India?
A)
Robert Clive
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B)
Warren Hastings
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C)
Lord Comwallis
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D)
Lord Curzon
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The famous book 'Hind Swaraj' was written by
A)
Mahatma Gandhi
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B)
Jawahar Lal Nehru
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C)
Maulana Abdul Kalam
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D)
None of these
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'Vande Marram' a hymn to the mother land was written by
A)
Rabindranath Tagore
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B)
Sharat Chandra Chanopadhya
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C)
Abanindranath Tagore
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D)
Bankim Chandra chattopadhya
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Who was the last Mughal Emperor?
A)
AlamShah
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B)
Muhammed Shah
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C)
Bahadur Shah Zafar
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D)
JahandarShah
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Who led Wahabi Revolt
A)
Surendra Sai
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B)
Birsa Munda
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C)
Shariatulla
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D)
Sayyid Ahmad Barelvi
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The date on which the Revolt of 1857 started was
A)
9th May 1857
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B)
10th May 1857
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C)
11th May 1857
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D)
12th May 1857
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Victoria Terminus in Bombay is a
A)
Railway Station
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B)
Historical Monument
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C)
Museum
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D)
None of these
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An organisation founded by Dayanand Saraswati in 1875 is
A)
Prarthna SamaJ
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B)
Brahmo Samaj
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C)
Arya Samaj
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D)
Satya Shodhak Samaj
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The Indian National Congress was established in 1885. It started with how many delegates?
A)
45
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B)
52
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C)
60
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D)
72
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The Doctrine of Lapse was introduced by
A)
Lord Comwallis
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B)
Lord Curzon
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C)
Lord Dalhousie
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D)
Lord Clive
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Who organised the Dalits into the Depressed Class association in 1930?
A)
E. V. Ramaswamy
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B)
T.K.Mdhavan
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C)
B. R. Amedkar
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D)
K-. Kelappan
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Nizam-ul-mulk founded the state of
A)
Mysore
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B)
Hyderabad
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C)
Punjab
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D)
Rajasthan
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Republic means
A)
Head of the state is an elected person
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B)
Government does not favour any religion
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C)
All are equal before law
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D)
People enjoy right to vote.
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If disputes arise between different levels of the government, who acts as an umpire?
A)
High Court
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B)
District level Court
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C)
Supreme Court
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D)
The lowest Court
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If a politician in one state decides not to allow labourers from other states to work in his state then which fundamental right is violated?
A)
Right to freedom
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B)
Right to equality
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C)
Right to work
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D)
Right to life
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It is an area or locality that is populated largely by members of a particular community
A)
Centralisation
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B)
Location
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C)
Colonisation
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D)
Ghettoisation
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Which state is a home to more than 60 different tribal groups?
A)
Assam
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B)
Bihar
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C)
Orissa
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D)
Maharashtra
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Justice delayed is justice denied' is often used to characterize
A)
Time period that courts take
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B)
Involves lots of money
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C)
Independence of judiciary
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D)
Access to court is always difficult
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Which level or tier of government is the Panchayati Raj system?
A)
First
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B)
Second
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C)
Third
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D)
Fourth
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Which is the cleanest city in India?
A)
Patna
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B)
Delhi
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C)
Surat
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D)
Chandigarh
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What is one of the key ideals of a democratic government?
A)
Equality and justice
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B)
Eradication of unemployment
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C)
Reduction in poverty
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D)
All of them
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Panchayati Raj system is a
A)
Three-tier system
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B)
Two-tier system
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C)
One-tier system
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D)
None of these
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View Answer play_arrow
Currently, how many high courts are there in India ?
A)
20
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B)
22
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C)
21
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D)
28
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Which of the following buildings are found at Fatehpur Sikri?
(i)Rang Mahal (ii)Panch Mahal (iii)Tomb of Salim Chisti (iv)Buland Darwaza (v)Palaces of Mariam and Sultana (vi)Humayun's Tomb
A)
(i),(iv),(v),(vi)
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B)
(i), (ii), (iii), (iv). (v)
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C)
(ii), (iv), (v)
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D)
(iii), (v), (vi)
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Panchayati Raj system was introduced in
A)
1952
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B)
1950
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C)
1947
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D)
1959
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A resource is
A)
Anything made by humans
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B)
Anything found in nature
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C)
Anything found in nature or made by humans
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D)
Anything that has utility and can be used to satisfy human needs
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Which of these is NOT a natural resource?
A)
Sunlight
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B)
Wildlife
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C)
Railway track
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D)
Coal
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The two major natural factors responsible for the growth of natural vegetation are
A)
Temperature and moisture
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B)
Rainfall and irrigation
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C)
Fertilizers and manures
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D)
Sunshine and technology
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An area with a dense growth of trees is called a
A)
Grassland
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B)
Pasture
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C)
Forest
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D)
Shrub
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Which country is the largest producer and exporter of mica in the world?
A)
China
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B)
India
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C)
Australia
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D)
Brazil
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In India gold is found in
A)
Kolar
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B)
Kallar
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C)
Kashmir
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D)
Khandala
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Which of these are human made inputs of agriculture ?
A)
Relief of the land
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B)
Irrigational facilities
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C)
Earth worms
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D)
Crops
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A farmer who clears a small patch of forest, bums the area and then plants his crop there, is practising
A)
Shifting agriculture
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B)
Nomadic agriculture
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C)
Subsistence fanning
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D)
Mixed farming
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An industry that uses large amount of capital huge machines and modern technology to make goods is called a
A)
Cottage industry
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B)
Small scale industry
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C)
Multi national industry
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D)
Large scale industry
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In India census is conducted at the periodicity of
A)
10 years
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B)
5 years
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C)
15 years
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D)
20 years
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Population density refers to
A)
The total number of people in an area
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B)
The number of people living per square unit of area.
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C)
The number of literatepeople in an area
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D)
All of these
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An example of land conservation measure is
A)
Deforestation
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B)
Uncontrolled use of chemical pesticides
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C)
Controlled mining
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D)
Overgrazing
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We should use resources
A)
Optimally
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B)
Indiscriminately
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C)
Lavishly
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D)
Wastefully
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