What is the value of\[{{(1.929)}^{3}}+{{(0.071)}^{3}}+(1.929\times 0.426)?\]
A)
7
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B)
8
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C)
9
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D)
10
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The average grade of a section of 20 students is 66% and that of another section of 15 students is 70%. The combined average of 35 students is:
A)
66.7%
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B)
67.7%
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C)
68.7%
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D)
69.7%
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In a triangle PQR, the medians QT and RU intersect at V. PVS is line meeting QR in S. If PV = 2.4 cm, then the length of PS is
A)
3 cm
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B)
3.6 cm
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C)
4 cm
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D)
4.8 cm
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If in triangles ABC and DEF, \[\angle A=\angle E={{37}^{o}}\]; AB : ED = AC : EF and angle\[F={{69}^{o}}\], then the value of \[\angle B\] is
A)
\[{{69}^{o}}\]
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B)
\[{{74}^{o}}\]
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C)
\[{{84}^{o}}\]
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D)
\[{{94}^{o}}\]
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In a triangle PQR, perpendicular PS from P to QR meets QR at S. If PS : QS : RS = 2 : 4 : 1, then which one of the following is correct?
A)
PQR is an equilateral triangle
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B)
PQR is a triangle right angled at P
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C)
PQR is an isosceles triangle
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D)
PQ = 3 PR
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The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. What is the difference between the largest and the smallest angles?
A)
\[{{36}^{o}}\]
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B)
\[{{72}^{o}}\]
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C)
\[{{105}^{o}}\]
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D)
\[{{144}^{o}}\]
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A, B and C denote the areas of the three coterminous faces of a cuboid. If P and S denote the product and sum of the dimensions of the cuboid respectively, which one of the following is correct?
A)
\[PS={{A}^{2}}+{{B}^{2}}+{{C}^{2}}\]
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B)
\[PS=AB+BC+CA\]
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C)
\[PS=S(A+B+C)\]
done
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D)
\[SP={{(A+B+C)}^{2}}\]
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View Answer play_arrow
What is the total number of prime factors in the expression? \[{{4}^{11}}\times {{14}^{5}}\times {{11}^{2}}\]
A)
34
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B)
36
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C)
38
done
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D)
43
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If\[x,\,y\]and\[z\]are three sums of money such that \[y\] is the simple interest on \[x\] and \[z\]is the simple interest on y for the same time and at the same rate, then which one of the following is correct?
A)
\[{{y}^{2}}=xz\]
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B)
\[2y=x+z\]
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C)
\[y=x-z\]
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D)
\[y=x+z\]
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Sanjay sold a bicycle to Salman at 46% profit. Salman spent Rs. 40 on repairs and sold it to Sunil for Rs. 1500. In this deal, Salman made neither profit nor loss. What is the cost price for Sanjay?
A)
Rs. 900
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B)
Rs. 960
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C)
Rs. 1000
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D)
Rs. 1060
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View Answer play_arrow
The irrational number, \[\frac{7}{3+\sqrt{n}}\] when rationalised becomes \[3-\sqrt{n}\]. What is the value of n?
A)
1
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B)
2
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C)
3
done
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D)
7
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If z is the H.C.F of \[x\] and\[y\] , then what is the HCF of \[\frac{x}{z}\] and\[\frac{y}{z}\]?
A)
\[z\]
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B)
\[x\]
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C)
\[y\]
done
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D)
1
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If \[a+b+c=0\] , then the value of \[{{(a+b-c)}^{3}}+{{(b+c-a)}^{3}}+{{(c+a-b)}^{3}}\] is
A)
\[8({{a}^{3}}+{{b}^{3}}+{{c}^{3}})\]
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B)
\[({{a}^{3}}+{{b}^{3}}+{{c}^{3}})\]
done
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C)
\[24abc\]
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D)
\[-24abc\]
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What are the values of \[a\] when the expression \[3{{x}^{5}}+9{{x}^{4}}-7{{x}^{3}}-5{{x}^{2}}-3ax+3{{a}^{2}}\] is divisible by \[(x-1)\] ?
A)
3, 0
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B)
\[2,-1\]
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C)
2, 1
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D)
0, 1
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If A, B, C and D are four numbers such that A : B = 3 : 4; B : C = 5 : 7 and C : D = 8 : 9, then consider the following statements:
I. The ratio of A to C is 15 : 28 II. The ratio of B to D is 2: 3 III. The ratio of A to D is 10 : 21.
Which of the above statements are correct?
A)
I, II and III
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B)
I and II only
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C)
II and III only
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D)
I and III only
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View Answer play_arrow
10 identical taps fill a tank in 24 minutes. To fill the tank in one hour, how many taps are required?
A)
2
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B)
4
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C)
6
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D)
8
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The sum of the ages of P and Q is 95 years. Some years ago, P was of the present age of Q. The present age of P is 3 times the age of Q at that time. The present ages of P and Q are respectively (in years)
A)
30, 65
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B)
65, 30
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C)
38, 57
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D)
57, 38
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A is twice as fast a workman as B, and together they finish a piece of work in 14 days. In how many days can A alone finish the work?
A)
18
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B)
21
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C)
24
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D)
27
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A two digit number is given. If this number is added to a number obtained by reversing the digits of the given number, the sum is always divisible by
A)
7
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B)
9
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C)
10
done
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D)
11
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In the adjoining figure\[PQ||RS\], \[\angle RSF={{40}^{o}}\], \[\angle PQF={{35}^{o}}\] and \[\angle QFP={{x}^{o}}\]. What is the value of \[{{x}^{o}}\]?
A)
\[{{75}^{o}}\]
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B)
\[{{105}^{o}}\]
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C)
\[{{135}^{o}}\]
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D)
\[{{140}^{o}}\]
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View Answer play_arrow
A body travels 4m due north and then turns east and travels 3m due east. The displacement of the body is
A)
1 m
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B)
5 m
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C)
3.5 m
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D)
7 m
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Figure shows the displacement-time curve of the particles P and Q. Which of the following statements is correct?
A)
Both P and Q move with uniform equal speed
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B)
P is accelerated and Q is retarded
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C)
Both P and Q move with uniform speeds but the speed of P is more than the speed of Q
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D)
Both P and Q move with uniform speeds but the speed of Q is more than the speed of P
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View Answer play_arrow
A train of length 200 m travelling at 30\[m{{s}^{-1}}\]overtakes another train of length 300 m travelling at 20\[m{{s}^{-1}}\]. The time taken by the first train to pass the second train is
A)
10 s
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B)
30 s
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C)
40 s
done
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D)
50 s
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View Answer play_arrow
Light year is the unit used to measure
A)
Time
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B)
Speed
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C)
Distance
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D)
None of these
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Swimming is possible by
A)
First law of motion
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B)
Second law of motion
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C)
Third law of motion
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D)
Newton's law of gravitation
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View Answer play_arrow
Kilowatt hour is the unit used to measure
A)
Energy
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B)
Power
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C)
Momentum
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D)
None of these
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A force of4N acts through a distance of 10 m in the direction of motion. The work done is
A)
25 J
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B)
30 J
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C)
35 J
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D)
40 J
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Which of the following statements, about the image in a plane mirror is not correct?
A)
It is real
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B)
It is erect
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C)
It is the same size as the object
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D)
It is as far behind the mirror as the object is in front
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The angle between the two refracting surfaces of a total reflecting prism is
A)
\[{{30}^{o}}\]
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B)
\[{{60}^{o}}\]
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C)
\[{{45}^{o}}\]
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D)
\[{{90}^{o}}\]
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A current carrying conductor will not experience any force when it is placed in a magnetic field
A)
Parallel to it
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B)
Perpendicular to it
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C)
At an angle of \[{{60}^{o}}\] to it
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D)
At an angle of \[{{90}^{o}}\] to it
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View Answer play_arrow
Water is used as a coolant because of its
A)
Lower density
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B)
Easy availability
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C)
Low specific heat
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D)
High specific heat
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View Answer play_arrow
The work done in moving a unit positive charge across two points in an electric circuit is a measure of
A)
Current
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B)
Potential difference
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C)
Resistance
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D)
Power
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When current is plotted against potential, a straight line graph is obtained. Which of the following laws is verified?
A)
Maxwell's law
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B)
Fleming's left hand rule
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C)
Ohm's law
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D)
Faraday's law
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The effect of current on which the use of a fuse is based is
A)
Magnetic effect
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B)
Heating effect
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C)
Chemical effect
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D)
Induction effect
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If each resistance in the figure is of \[9\,\Omega \] then the reading of ammeter is
A)
5 A
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B)
8 A
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C)
2 A
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D)
9 A
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Find the odd one out, from the following reactions:
A)
\[S+{{O}_{2}}\to S{{O}_{2}}\]
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B)
\[2{{H}_{2}}+{{O}_{2}}\to 2{{H}_{2}}O\]
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C)
\[{{H}_{2}}+C{{l}_{2}}\to 2HCl\]
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D)
\[C{{O}_{2}}+C\to 2CO\]
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View Answer play_arrow
When dil. \[{{H}_{2}}S{{O}_{4}}\] is added to Zn meal , the changes taking place are
A)
Gas evolved and black coating on \[Zn\]
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B)
Gas evolved and container become hot
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C)
Black coating on Zn and container become hot
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D)
Gas evolved, black coating on Zn container become hot
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View Answer play_arrow
Rusting of iron is
A)
Oxidation reaction
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B)
Reduction reaction
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C)
Both (a) and (b)
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D)
Neither (a) nor (b)
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The metal which can react with \[{{H}_{2}}\] gas is
A)
Al
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B)
Cu
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C)
\[Zn\]
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D)
Na
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View Answer play_arrow
In the electrolysis of water,
A)
Quantity of \[{{H}_{2}}\] gas is double the \[{{O}_{2}}\] gas
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B)
Quantity of \[{{O}_{2}}\] gas is double the \[{{H}_{2}}\] gas
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C)
Quantity of \[{{H}_{2}}\] gas is equal to the \[{{O}_{2}}\] gas
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D)
Cannot be determined
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View Answer play_arrow
The compound formed by sodium with other elements
A)
is only covalent
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B)
is only ionic
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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
Sodium salt imparts ______ colour to the name.
A)
Green
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B)
Golden yellow
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C)
Red
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D)
pink
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The most abundant metal on the earth's crust is
A)
Iron
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B)
Gold
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C)
Silver
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D)
Aluminium
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Coke is obtained from
A)
Wood
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B)
Coat
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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 inhalation of carbon monoxide leads to death, because
A)
It damages the heart
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B)
It damages the liver
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C)
It combines with blood to coagulate and reduces oxygen carrying capacity.
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D)
None of the above
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View Answer play_arrow
Hydrogen gas cannot be used as a domestic fuel because
A)
Less amount of energy is produced
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B)
Large amount of energy is produced
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C)
Very large amount of energy is produced which may cause explosion
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D)
Not available
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The only non-metal used in the extraction of metals is
A)
Carbon rod
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B)
Sulphur
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C)
Phosphorous
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D)
None of the above
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View Answer play_arrow
Poly Vinyl Chloride is
A)
Thermo setting plastics
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B)
Thermo plastics
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C)
Acrylic
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D)
Polyester
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View Answer play_arrow
The device used to obtain thin sections of the material to be seen under the microscope is
A)
Microtome
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B)
Sectioner
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C)
Micron
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D)
Microneedle
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View Answer play_arrow
Widal test helps to diagnose
A)
Tetanus
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B)
Tuberculosis
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C)
Typhoid
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D)
Whooping Cough
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View Answer play_arrow
Identify the picture:
A)
Fossilised fish from the Triassic age
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B)
Fish preserved in oil bed
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C)
Fossilised Ichthyosaur
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D)
Skeleton of the common shark
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View Answer play_arrow
Cheetas are known fast runners because they have
A)
A flexible back bone
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B)
A long tail that acts as a balancer
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C)
Non retractable claws that act as spikes
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D)
All of the above
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View Answer play_arrow
The functional contractile unit of striated muscle is
A)
Myofibril
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B)
Sarcoplasm
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C)
Sarcomere
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D)
Z-band
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View Answer play_arrow
Phytophthora infestans causes a disease called Late blight of
A)
Potato
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B)
Wheat
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C)
Paddy
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D)
Citrus
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View Answer play_arrow
Nitrogen fixation is the process of
A)
Removing nitrogen gas from the air and storing it for industrial use
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B)
Using nitrogen gas of the air to produce soluble compounds in the soil that can be absorbed by the plants
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C)
Supplying nitrogen gas directly to the plants through the roots
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D)
Making nitrogen gas soluble in water so that the plants can take it for their use
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View Answer play_arrow
Biologically important compounds like proteins, chlorophyll, nucleic acids and vitamins require this element for their production:
A)
Zinc
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B)
Nitrogen
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C)
Sulphur
done
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D)
Phosphorus
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View Answer play_arrow
This hormone actually increases the blood sugar level by converting stored glycogen to glucose:
A)
Insulin
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B)
Glucose generator
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C)
Glucagon
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D)
Sugar forming factor
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View Answer play_arrow
This hormone is associated with development of sexual characters and sex organs in females:
A)
Testosterone
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B)
Adrenalin
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C)
Insulin
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D)
Oestrogen
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View Answer play_arrow
Which of the following is the most unique feature of the mammals?
A)
Viviparous
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B)
Four chambered heart
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C)
Diaphragm
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D)
Alveolar lungs
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Identical twins are produced from
A)
same zygote
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B)
two separate zygotes of the same female
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C)
two sperms entering accidentally into a single egg
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D)
both (b) and (c)
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View Answer play_arrow
The blood group of the recipient is \[{{O}_{2}}\]. What should be the blood group/s of the donors?
A)
\[{{Q}^{-ve}}\]only
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B)
Both \[{{Q}^{ve}}\]and \[{{Q}^{+ve}}\]
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C)
May be any of the blood groups
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D)
Only\[A{{B}^{-ve}}\]
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View Answer play_arrow
Mira Behn was
A)
A foreigner
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B)
Gandhiji's follower
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C)
Devotee
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D)
Painter
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View Answer play_arrow
The new state of Andhra Pradesh came into existence in
A)
1950
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B)
1952
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C)
1953
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D)
1954
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View Answer play_arrow
Who was the ruler of England in 1600?
A)
Queen Victoria
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B)
Queen Elizabeth 1
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C)
Prince Charles
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D)
None of them
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View Answer play_arrow
What happened in the battle of Seringapatam?
A)
Tipu Sultan won
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B)
Tipu Sultan was defeated
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C)
Tipu Sultan was killed
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D)
Tipu Sultan was made prisoner
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View Answer play_arrow
What constituted the Mughal army?
A)
Cavalry
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B)
Infantry
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C)
Paidal soldiers
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D)
All of these
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View Answer play_arrow
The National Archives of India is located in
A)
Delhi
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B)
Calcutta
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C)
Bombay
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D)
Madras
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View Answer play_arrow
The British originally came to India to
A)
Rule
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B)
Colons
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C)
Trade
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D)
Conquer
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After the death of Aurangzeb, the nawab of Bengal who refused to grant concessions to the company was
A)
Murshid Quli Khan
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B)
Alivardi Khan
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C)
Sirajuddaulah
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D)
All of these
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View Answer play_arrow
One import source used by historians in writing about the Indian history was
A)
Inscriptions
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B)
Manuscripts
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C)
Royal orders
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D)
Official records
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View Answer play_arrow
Who did indigo cultivation in St. Dominque in the Caribbean Island?
A)
French
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B)
Dutch
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C)
Portuguese
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D)
English
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View Answer play_arrow
When did the British capture Delhi?
A)
1600
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B)
1857
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C)
1919
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D)
1911
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View Answer play_arrow
Who lived in the "White" areas in cities?
A)
Rich people
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B)
Merchants and traders
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C)
British
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D)
Brahmans
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View Answer play_arrow
Shantiniketan was started in 1901 by
A)
Subhash Chandra Bose
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B)
Gandhiji
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C)
Sarojini Naidu
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D)
Rabindra Nath Tagore
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View Answer play_arrow
The introduction to the Constitution is known as the
A)
Amendment
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B)
Preamble
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C)
Acknowledgement
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D)
Content
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A democracy must be based on a free and fair election when those currently in power have a fair chance of
A)
Fighting
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B)
Losing
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C)
Playing
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D)
None of these
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View Answer play_arrow
A system under which Military Chief enjoy all power and supresses all the protests is called
A)
Dictatorship
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B)
Democracy
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C)
Military rule
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D)
Republic
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A condition in which freedom of expression is taken away is
A)
Censorship
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B)
Coalition
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C)
Colonialship
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D)
None of these
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View Answer play_arrow
The Constitution of India was ready in about
A)
Three years
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B)
One year
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C)
Five years
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D)
Six months
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It refers to association of workers for the purpose of maintaining the conditions of their employment:
A)
Vote
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B)
Trading
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C)
Trade union
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D)
None of these
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View Answer play_arrow
The policy of racial separation of ill treatment towards the black by the colonial people was
A)
Apartment
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B)
Aparting
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C)
Untouchability
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D)
Apartheid
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The supreme law of a country containing fundamental rules governing the polities is
A)
Assembly
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B)
Parliament
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C)
Constitution
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D)
Democracy
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View Answer play_arrow
Famous book written by Nehru is
A)
Full measure
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B)
Tryst with Destiny
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C)
Independence
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D)
Poverty & British rules
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Gandhiji called upon people to put an end to the tradition and practice of
A)
Sati
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B)
Child marriage
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C)
Dowry
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D)
Untouchability
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View Answer play_arrow
At present how many languages are recognised as official languages?
A)
20
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B)
18
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C)
26
done
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D)
22
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View Answer play_arrow
Who is empowered to make constitutional amendments?
A)
Parliament
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B)
Supreme Court
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C)
Prime Minister
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D)
President
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View Answer play_arrow
EVMs were used throughout the country for the first time in the general election in the year
A)
2005
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B)
2004
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C)
2008
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D)
2000
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How can the resources be classified on the basis of their exhaustibility?
A)
Biotic and abiotic
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B)
Renewable and non-renewable
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C)
Individual
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D)
Potential
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Which one of the following group of resources is an example of renewable resource?
A)
Water, Solar energy and Wind energy
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B)
Coal, Petroleum and Metal
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C)
Flora, Fauna and Fossil fuels
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D)
All of these
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In which area is Gully erosion dominant?
A)
In Narmada valley
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B)
In Chambal valley
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C)
In Brahmaputra valley
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D)
In Tapi valley
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The Buxa Tiger Reserve is in
A)
West Bengal
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B)
Orissa
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C)
Rajasthan
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D)
Madhya Pradesh
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Hirakund project is built on river
A)
Tapi
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B)
Kaveri
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C)
Godavari
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D)
Mahanadi
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Which of the following crops is sown in winter from October to December and harvested in summer from April to June?
A)
Rabi
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B)
Kharif
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C)
Zaid
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D)
None of these
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Minerals are usually found
A)
Under earth only
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B)
Above earth only
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C)
In ores
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D)
Under water only
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Coal is formed in
A)
Metamorphic rocks
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B)
Igneous rocks
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C)
Sedimentary rocks
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D)
None of these
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Which of the following is/are agro based industries?
A)
Cotton and jute industries
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B)
Silk, textile and rubber industries
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C)
Sugarcane and edible oil industries
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D)
All of these
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______ is a basic industry,
A)
Iron and steel industry
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B)
Cotton textile industry
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C)
Sugarcane industry
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D)
Cement industry
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The term IMR stands for
A)
Infant Mortality Rate
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B)
Infant Mortality Ratio
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C)
Indian Mortality Rate
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D)
Indian Mortality Ratio
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On which factor does the quality of population depend?
I. Literacy rate II. Life expectancy III. Health IV. Skill
A)
Only I
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B)
Only II
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C)
All of these
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D)
None of these
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Which of the following is the nature habitat of Indian lion?
A)
Assam forest
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B)
Gir forest
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C)
West Bengal
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D)
Kerala
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