Which one of the following is a non-terminating and repeating decimal?
A)
\[\frac{13}{8}\]
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B)
\[\frac{3}{16}\]
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C)
\[\frac{3}{11}\]
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D)
\[\frac{137}{25}\]
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If \[x=(b-c)(a-d);y=(c-a)\]\[(b-d);z=(a-b)(c-d)\] then the value of\[{{x}^{3}}+{{y}^{3}}+{{z}^{3}}\]is
A)
\[\frac{x\,y\,z}{3}\]
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B)
\[2x\,y\,z\]
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C)
\[3x\,y\,z\]
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D)
\[-3x\,y\,z\]
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If k is any even positive number, then \[({{k}^{2}}+2k)\]is
A)
divisible by 24
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B)
divisible by 8 but may not be divisible by 24
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C)
divisible by 4 but may not be divisible by 8
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D)
divisible by 2 but may not be divisible by 4
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Two trains of lengths 100 m and 150 m are moving in opposite directions at speeds of 75 kmph and 50 kmph respectively. What is the time taken by them to cross each other?
A)
7.4 sec
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B)
7.2 sec
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C)
7 sec
done
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D)
6.8 sec
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If\[(a-b):(a+b)=1:5\], then what is \[({{a}^{2}}-{{b}^{2}}):({{a}^{2}}+{{b}^{2}})\]equal to?
A)
2 : 3
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B)
3 : 2
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C)
5 : 13
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D)
13 : 5
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In order to fix an electric pole alongside a road, a pit with dimensions \[50\text{ }cm\times 50\text{ }cm\]is dug with the help of a spade. The pit is prepared by removing earth by 250 metres of spade. If one stroke of spade removes 500 \[c{{m}^{3}}\]of earth, what is the depth of the pit?
A)
2m
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B)
1 m
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C)
0.75m
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D)
0.5m
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View Answer play_arrow
A wheel of a bicycle has inner diameter 50 cm and thickness 10 cm. What is the speed of the bicycle if it makes 10 revolutions in 5 seconds?
A)
5.5/sec
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B)
4.4/sec
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C)
3.3/sec
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D)
2.2/sec
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View Answer play_arrow
If three cubes having edges 0.3 m; 0.4 m and 0.5 m respectively are melted and formed into a single cube, then what is surface of this cube?
A)
\[1.08{{m}^{2}}\]
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B)
\[1.56{{m}^{2}}\]
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C)
\[1.84{{m}^{2}}\]
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D)
\[2.16{{m}^{2}}\]
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A person spends 30% of monthly salary on rent, 25% on food, 20% on children's education and 12% on electricity, and the balance of Rs. 1040 on the remaining items. What is the monthly salary of the person?
A)
Rs. 8,000
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B)
Rs. 9,000
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C)
Rs. 9,600
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D)
Rs. 10,000
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The ratio between the ages of A and B is 2 : 5. After 8 years, their ages will be in the ratio 1 : 2. What is the difference between their present ages?
A)
20 years
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B)
22 years
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C)
24 years
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D)
25 years
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There straight lines X, Y and Z are parallel and the angles are as shown in the figure. What is \[\angle AFB\]equal to?
A)
\[20{}^\circ \]
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B)
\[15{}^\circ \]
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C)
\[30{}^\circ \]
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D)
\[10{}^\circ \]
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If \[x(x+y+z)=9,y(xy+z)=16\]and\[z(x+y+z)=144\], then the value of x is
A)
\[\frac{9}{5}\]
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B)
\[\frac{9}{7}\]
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C)
\[\frac{9}{13}\]
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D)
\[\frac{16}{13}\]
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View Answer play_arrow
\[{{x}^{4}}+4{{y}^{4}}\]is divisible by which one of the following ?
A)
\[({{x}^{2}}+2xy+2{{y}^{2}})\]
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B)
\[({{x}^{2}}+2{{y}^{2}})\]
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C)
\[({{x}^{2}}-2{{y}^{2}})\]
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D)
None of these
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+ If r and s are any real numbers such that \[0\le \]\[s<1\] and \[r+s=1\]then the maximum value of the product r s is
A)
1
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B)
¾
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C)
1/4
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D)
\[{\scriptstyle{}^{1}/{}_{2}}\]
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A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. What is the volume of the solid so obtained?
A)
\[50\,\pi c{{m}^{3}}\]
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B)
\[100\,\pi c{{m}^{3}}\]
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C)
\[125\,\pi c{{m}^{3}}\]
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D)
\[150\,\pi c{{m}^{3}}\]
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View Answer play_arrow
ABC is a triangle when\[\angle C=90{}^\circ \]. If p is the length of the perpendicular from C to AB and a, b, c are the sides, then which one of the following is correct?
A)
\[pa=be\]
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B)
\[pb=ac\]
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C)
\[pc=ab\]
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D)
\[{{p}^{2}}=ab\]
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View Answer play_arrow
The mess charges for 35 students for 24 days is Rs 6300. In how many days will the mess charges be Rs 3,375 for 25 students?
A)
12
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B)
15
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C)
18
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D)
21
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View Answer play_arrow
When \[{{x}^{40}}+2\]is divided \[{{x}^{4}}+1\] remainder?
A)
1
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B)
2
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C)
3
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D)
4
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What is the value of \[{{x}^{3}}+3bx-2a\] If \[x={{(a+\sqrt{{{a}^{2}}+{{b}^{3}}})}^{1/3}}\]\[+{{(a-\sqrt{{{a}^{2}}+{{b}^{3}}})}^{1/3}}\,?\]
A)
\[2{{a}^{2}}\]
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B)
\[-2{{a}^{3}}\]
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C)
1
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D)
0
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What least value must be given to * in 84705*2 so that the number is completely divisible by 9?
A)
1
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B)
0
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C)
2
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D)
3
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View Answer play_arrow
The numerical value of density in SI is n times its value in cgs system. Then the value of n is
A)
10
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B)
100
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C)
1000
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D)
\[\frac{1}{1000}\]
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View Answer play_arrow
Distance travelled in n* second has the units of
A)
Momentum
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B)
Speed
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C)
Force
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D)
Displacement
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Figure shows the displacement (x)-time (t) graph of a particle moving along the x-axis. From the graph we conclude that:
A)
The particle is at rest.
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B)
The particle is continuously going along x-direction.
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C)
The velocity of particle increases upto time\[{{t}_{\text{o}}}\] and then becomes constant.
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D)
The particle moves at a constant velocitly upto time \[{{t}_{\text{o}}}\]and then stops.
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View Answer play_arrow
A heavy truck and a car are in motion and both have same kinetic energy. Brakes are applied to produce equal retarding force. Which will navel a smaller distance before coming to rest?
A)
Car
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B)
Truck
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C)
Both will travel through the same distance
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D)
Nothing can be decided from the given data
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View Answer play_arrow
A stone thrown upward with a speed u from the top of the tower reaches the ground with a velocity 3 u. The height of the tower is
A)
\[\frac{3{{u}^{2}}}{g}\]
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B)
\[\frac{4{{u}^{2}}}{g}\]
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C)
\[\frac{6{{u}^{2}}}{g}\]
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D)
\[\frac{9{{u}^{2}}}{g}\]
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View Answer play_arrow
Acceleration-time graph of a body is shown below
Which of the following graphs correctly represents the velocity-time graph?
A)
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B)
done
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C)
done
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D)
done
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For the resultant of two vectors to be maximum, the angle between them is
A)
\[0{}^\circ \]
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B)
W
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C)
\[90{}^\circ \]
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D)
\[120{}^\circ \]
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View Answer play_arrow
The average force necessary to stop a hammer with 25 Ns momentum in 0.05 s expressed in N is .
A)
25
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B)
50
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C)
125
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D)
500
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A man fires a bullet of mass 200g at a speed of 5\[m{{s}^{-1}}\]. The gun has a mass of 1 kg. By what velocity will the gun rebound backwards?
A)
0.1 \[m{{s}^{-1}}\]
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B)
0.01\[m{{s}^{-1}}\]
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C)
1 \[m{{s}^{-1}}\]
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D)
10\[m{{s}^{-1}}\]
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View Answer play_arrow
A body of mass 100 g is rotating in a circular path of radius r with constant speed. The work done in one complete revolution is
A)
\[100\,r\,J\]
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B)
\[\left( \frac{r}{100} \right)J\]
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C)
\[\left( \frac{100}{r} \right)J\]
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D)
zero
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View Answer play_arrow
An electric generator actually acts as
A)
A source of sound energy
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B)
A source of heat energy
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C)
An electromagnet
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D)
A converter of energy
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View Answer play_arrow
In the following circuit, the current (I) flowing through the circuit is
A)
\[\frac{4}{3}A\]
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B)
\[\frac{3}{4}A\]
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C)
\[\frac{2}{3}A\]
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D)
none of these
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View Answer play_arrow
What is the resistance between P and Q in the following circuit?
A)
\[2\Omega \]
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B)
\[8\Omega \]
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C)
\[\frac{16}{3}\Omega \]
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D)
\[1\Omega \]
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View Answer play_arrow
In a domestic electrical circuit, switches are placed in
A)
Neutral wire
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B)
Earth wire
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C)
Live wire
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D)
Any of these
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View Answer play_arrow
The weight of an object
A)
Is the quantity of the matter it contains
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B)
Refers to its inertia
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C)
Is the same as its mass but is expressed in different units
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D)
Is the force with which it is attracted towards the earth
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Choose the correct option for the increasing order of their conductivity:
A)
Honey < tap water < vinegar < \[HCl\]
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B)
Tap water < honey < vinegar < \[HCl\]
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C)
Vinegar < honey < tap water < \[HCl\]
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D)
Honey < vinegar < tap water < \[HCl\]
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The strongest bond is between
A)
Carbon ? carbon
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B)
Carbon ? oxygen
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C)
Carbon - hydrogen
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D)
Carbon ? nitrogen
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The metallic oxides which are having both acidic and basic character are known as
A)
Neutral oxides
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B)
Amphoteric oxides
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C)
Both [a] and [b]
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D)
Neither [a] nor [b]
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View Answer play_arrow
The maximum quantity of element present in human body is
A)
Iron
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B)
Copper
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C)
Carbon
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D)
Magnesium
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Which of the following properties is not applicable for non-metals?
A)
Conductivity
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B)
Lusture
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C)
Sonorous
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D)
None of the above
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View Answer play_arrow
Chemically rust is
A)
Hydrated ferrous oxide
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B)
Hydrated ferric oxide
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C)
Only ferric oxide
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D)
none of these
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View Answer play_arrow
Which of the following is not electropositive in nature?
A)
\[{{H}_{2}}\]
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B)
Na
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C)
Mg
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D)
S
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A metal which is less reactive then \[Cu\]is
A)
Zn
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B)
Pb
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C)
Hg
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D)
Fe
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Find the odd one out:
A)
Polythene
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B)
PVC
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C)
Bakellite
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D)
Nylon
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View Answer play_arrow
Switch board is made up of
A)
Thermoplastic
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B)
Thermosetting plastic
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C)
Rayon
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D)
Bakelite
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View Answer play_arrow
The percentage of carbon in Anthracite coal is
A)
Above 95%
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B)
Between 60 % and 85%
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C)
Below 60% but above 40%
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D)
Below 27%
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View Answer play_arrow
Charcoal is obtained from
A)
Coal
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B)
Wood
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C)
Petroleum
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D)
None of these
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View Answer play_arrow
The disease which is not caused by smog in children is
A)
Wheezing
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B)
Typhoid
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C)
Asthma
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D)
Cough
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Chlorophyll present in the chloroplasts is essebtual for
A)
respiration
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B)
photosynthesis
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C)
protein synthesis
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D)
making the plant look beautiful
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View Answer play_arrow
3 Cell wall of fungi is different from that of the remaining organisms, as it has
A)
Peptidoglycan
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B)
Only cellulose
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C)
Cellulose and hemicellulose
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D)
Chitin and cellulose
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View Answer play_arrow
What is the native place of Lemurs?
A)
North Western Australia
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B)
Serengeti National Park of Africa
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C)
Island of Madagascar and the nearby islands of Comoros
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D)
Rain forests of Africa
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View Answer play_arrow
Identify the picture:
A)
Diatoms
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B)
Fossilized Trilobite
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C)
Fossilized Dinosaur Eggs
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D)
African Giant beetles
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The irrigation system that allows water to fall drop by drop near the roots of the trees and helps in conserving water is
A)
Flood irrigation system
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B)
Drip irrigation system
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C)
Sprinkler irrigation system
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D)
Tube well irrigation system
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View Answer play_arrow
Few organisms of one of the following Nonchordate phyla has blind sac body plan:
A)
Annelida
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B)
Mollusca
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C)
Arthropodad
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D)
Echinodermata
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View Answer play_arrow
Measles is the disease caused by
A)
Spiral bacteria
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B)
Rod shaped bacteria
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C)
Virus
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D)
Cocci bacteria
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Rust of wheat is caused by
A)
Bacteria
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B)
Fungi
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C)
Viruses
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D)
Protozoa
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Metamorphosis in frogs from tadpole to adult frog is under the control of
A)
Adrenalin hormone
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B)
Insulin hormone
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C)
Thyroxin hormone
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D)
Testosterone
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The hormone that controls development of placenta and maintenance of pregnancy in females in early stages of pregnancy is
A)
Progesterone
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B)
Testosterone
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C)
Estrogen
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D)
Insulin
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The method of production of an exact copy of a cell, any other living part, or a complete organism is called
A)
Copying
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B)
Identification
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C)
Cloning
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D)
Duplication
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View Answer play_arrow
The male gametophyte in plant is
A)
Pollen grain
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B)
Anther
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C)
Stamen
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D)
Androecium
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View Answer play_arrow
Mature human erythrocytes have life span not more than 120 days because
A)
They are phagocytosed by surrounding Monocytes
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B)
They are very small in size
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C)
They lack nucleus and mitochondria
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D)
heir cell membrane is destroyed to provide protein for synthesis of haemoglobin
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View Answer play_arrow
+ "A History of British India" was written by
A)
Charles Darwin
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B)
James Mill
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C)
Albert Einstein
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D)
Thomas Hardy
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The First Governor General of India was
A)
Lord Dalhousie
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B)
Lord Mountbatten
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C)
Lord William Bentinck
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D)
Warren Hastings
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The National Archives of India came up in the year
A)
1920s
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B)
1930s
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C)
1940s
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D)
1950s
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View Answer play_arrow
Census Operations are held after every
A)
5 years
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B)
7 years
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C)
10 years
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D)
12 years
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View Answer play_arrow
The word Calligraphy means
A)
The art of painting
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B)
The art of music
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C)
The art of public speaking
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D)
The art of beautiful writing
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View Answer play_arrow
What was Farman?
A)
A royal dress
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B)
A royal food
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C)
A royal order
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D)
A royal procession
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View Answer play_arrow
The Nawab of Bengal after Aliwardi Khan was
A)
Murshid Quit Khan
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B)
Tipu Sultan
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C)
Siraj-ud-daulah
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D)
Mir Qasim
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View Answer play_arrow
Which Governor General introduced the policy of Paramountcy?
A)
Lord Hastings
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B)
Lord Bsrihausie Dalhousie
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C)
Lord Clive
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D)
Lord Bentinck
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Which of these Kingdoms was not annexed on the basis of 'Doctrine of Lapse'?
A)
Satara
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B)
Jhansi
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C)
Awadh
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D)
Punjab
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The Governor General who was impeached:
A)
Lord Hastings
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B)
Lord Dalhousie
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C)
Warren Hastings.
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D)
Lord Bentinck.
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View Answer play_arrow
One-third of the population was wiped out from Bengal due to
A)
Terrible famine
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B)
A civil war broke out
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C)
An epidemic broke out
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D)
None of these.
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View Answer play_arrow
The ryots were
A)
cultivators
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B)
zamindars
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C)
traders
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D)
money lenders
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After the indigo production collapsed in Bengal the planters shifted to
A)
Gujarat
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B)
Bihar
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C)
Orissa
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D)
Punjab
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View Answer play_arrow
Which one of the following is not a key of feature of the Indian Constitution?
A)
Federalism
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B)
Secularism
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C)
Separation of powers
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D)
Presidential form
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View Answer play_arrow
Nepal adopted an interim Constitution in the year
A)
2002
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B)
2005
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C)
2007
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D)
2008
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View Answer play_arrow
The Indian National Congress made the demand for a Constituent Assembly in the year
A)
1934
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B)
1943
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C)
1946
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D)
1936
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View Answer play_arrow
Federalism refers to
A)
One level of government
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B)
Two levels of government
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C)
More than one level of government
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D)
None of these
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View Answer play_arrow
What example does history provide us on the grounds of religion?
A)
Examples of discrimination
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B)
Exclusion
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C)
Persecution
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D)
All of these
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EVMs were used in the country for the first time in the General Elections held in the year
A)
1962
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B)
1977
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C)
1999
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D)
2004
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View Answer play_arrow
The total membership of Lok Sabha is
A)
545
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B)
543
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C)
245
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D)
212
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The Lok Sabha is presided by the
A)
President
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B)
Speaker
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C)
Prime Minister
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D)
Finance minister
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View Answer play_arrow
What percent of MPs are women today?
A)
50%
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B)
33%
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C)
10%
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D)
20%
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View Answer play_arrow
When the Parliament is in session begins with a
A)
Question Hour
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B)
Debate & discussion
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C)
Voting
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D)
Prayer
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View Answer play_arrow
The poisonous gas that leaked from the Union Carbide Plant in Bhopal was
A)
Methyl-isocyanate
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B)
Mythyl-alcohol
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C)
Methyl-isocyanite
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D)
Ethyl-alcohol
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View Answer play_arrow
Which one of the following is a hazardous industry?
A)
Iron and Steel Industry
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B)
Textile
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C)
Sugar Industry
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D)
Ship-breaking
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View Answer play_arrow
Under the Right against Exploitation the Constitution prohibits
A)
Forced Labour
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B)
Child Labour
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C)
Trafficking
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D)
All of these
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View Answer play_arrow
A river is a natural resource as it is
A)
Used for irrigation
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B)
Used for navigation
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C)
Used for power generation
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D)
All of these
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The portion of resource which can be developed economically is
A)
Resource
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B)
Reserve
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C)
Mineral deposits
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D)
All of these
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A homogeneous naturally occurring substance with a definable internal structure is denned as a
A)
Rock
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B)
Metal
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C)
Mineral
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D)
Element
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Which of the following natural resources are not needed for agriculture?
A)
Wind
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B)
Land
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C)
Soil
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D)
Water
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Chambal valley is an example of
A)
Delta
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B)
Estuary
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C)
Badland
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D)
Gorge
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Which metal or alloy is called the backbone of modem Industry?
A)
Steel
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B)
Iron
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C)
Copper
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D)
Aluminium
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Solar energy can be trapped by
A)
Satellites
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B)
Space station
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C)
[a] and [b]
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D)
None of these
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The largest consumer of mineral oil in the world is
A)
Russia
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B)
China
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C)
U.S.A.
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D)
Japan
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The richest coal field of????valley is called the Ruhr of India.
A)
Damodar
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B)
Godavari
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C)
Kaveri
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D)
Krishana
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Specialised cultivation of vegetables grown for urban markets and involving transport are called
A)
Horticulture
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B)
Truck farming
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C)
[a] and [b]
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D)
None of these
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Which of the following countries have very small sized agricultural land holding?
A)
France
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B)
USA
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C)
China
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D)
India
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The country leading in silk production is
A)
China
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B)
Japan
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C)
India
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D)
Pakistan
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Cement industry is now called
A)
An infrastructural core industry
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B)
A capital intensive industry
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C)
A labour intensive industry
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D)
None of these
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