If the average of x and \[{{x}^{-1}}\]is M, then what is the average of\[{{x}^{3}}\]and\[{{x}^{-3}}\]?
A)
\[\frac{M({{M}^{2}}-3)}{3}\]
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B)
\[{{M}^{3}}\]
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C)
\[{{M}^{3}}-3\]
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D)
\[M(4{{M}^{2}}-3)\]
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An equilateral triangle and a regular hexagon are inscribed in a circle. If a and b are the lengths of their sides respectively, then which one of the following is correct relation of a and b?
A)
\[{{a}^{2}}=2{{b}^{2}}\]
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B)
\[{{b}^{2}}=3{{a}^{2}}\]
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C)
\[{{b}^{2}}=2{{a}^{2}}\]
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D)
\[{{a}^{2}}=3{{b}^{2}}\]
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A cycle wheel makes 1000 revolutions in moving 440m. The diameter of the wheel is
A)
7 cm
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B)
14 cm
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C)
28 cm
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D)
21 cm
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The ratio of the radii of two taps \[{{T}_{1}}\]and \[{{T}_{2}}\] is 2:1. Water is flowing through them with the same speed. What is the ratio of the time required to completely fill two identical drums kept under \[{{T}_{1}}\] and \[{{T}_{2}}\]
A)
2:1
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B)
1:2
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C)
4:1
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D)
1:4
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In the figure, QR-HAB; DR||QB and it gives required number of distinct pairs of similar triangle in the figure: How many are there?
A)
1
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B)
2
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C)
3
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D)
4
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An iron block is of the form of a cylinder of 1.5 m diameter and 3.5 in length. The block is rolled out into the form of a bar, having a square section of side 5 cm. Find the length of the bar.
A)
2375m
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B)
2475m
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C)
2575m
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D)
2600m
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In the given figure: \[\angle DCQ=x;\]\[\angle BPC=y\]and \[\angle DOC=z\]and \[\frac{x}{3}=\frac{y}{4}=\frac{z}{5}\]The values of \[x,y\,and\,z\]are
A)
\[33{}^\circ ,\text{ }44{}^\circ ,\text{ }55{}^\circ \]
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B)
\[{{36}^{\text{o}}},{{48}^{\text{o}}},{{60}^{\text{o}}}\]
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C)
\[39{}^\circ ,52{}^\circ ,\text{ }65{}^\circ \]
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D)
\[42{}^\circ ,\text{ }56{}^\circ ,\text{ }70{}^\circ \]
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View Answer play_arrow
What is x if \[\sqrt{\frac{x}{1-x}}+\sqrt{\frac{1-x}{x}}=2\frac{1}{6}?\]
A)
\[\frac{5}{13}\]
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B)
\[\frac{7}{13}\]
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C)
\[\frac{9}{13}\]
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D)
\[\frac{11}{3}\]
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The monthly incomes of A and B are in the ratio 4 ; 3. Each of them saves Rs 6000. If the ratio of their expenditures is 3 : 2, then what is the monthly income of A?
A)
Rs 24,000
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B)
Rs 18000
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C)
Rs 20,000
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D)
Rs 36,000
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What are the roots of the given equation? \[{{(a+b+x)}^{-1}}={{a}^{-1}}+{{b}^{-1}}+{{x}^{-1}}\]
A)
a, b
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B)
--a, b
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C)
a,-b
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D)
a,-b
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If the numbers q, q + 2 and q + 6 are all primes then what can be the value of 3q + 9?
A)
18
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B)
42
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C)
60
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D)
42 or 60
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The age of the mother, before two years, was eight times the age other daughter. After one year, the mother's age will be five times the daughter's age. After how many years from now, the mother's age will become three times the daughter's age?
A)
6 years
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B)
8 years
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C)
10 years
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D)
12 years
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If d is the H.C.F of two numbers a and b, then there do exist unique numbers\[m(\ne 0)\] such that
A)
\[d=\frac{m}{a}+\frac{n}{b}\]
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B)
\[am+bn=d\]
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C)
\[d=\frac{m}{a}+bn\]
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D)
\[d=am+\frac{n}{b}\]
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A person goes from a place A to another place B at a speed of 4 kmph. and returns at the speed of 3 kmph. If he takes 7 hours in all, then the distance between two places is
A)
12km
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B)
8km
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C)
6km
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D)
5km
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In a triangle ABC, the bisectors of angles B and C meet at M. Then ZBMC is equal to
A)
\[90{}^\circ \]
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B)
\[90{}^\circ +ZA\]
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C)
\[90{}^\circ +\frac{1}{2}\angle A\]
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D)
\[90{}^\circ -\frac{1}{2}\angle A\]
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A man invested Rs. 1000 on simple interest at a certain rate percent and another sum of Rs. 1500 at 2% higher than the first rate. The total interest in three years is Rs 390. What is the lower rate of interest?
A)
4%
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B)
5%
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C)
6%
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D)
8%
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In a mixture of 80 litres, the ratio of milk agter water is 3:1. The ratio of milk and water after some litres of water is added in the new mixture becomes 2:3. How much water is added?
A)
70 litres
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B)
80 litres
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C)
100 litres
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D)
140 litres
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In respect of a bill of Rs 10,000, what is the difference between the single discount of 40% and two successive discounts of 36% and 4%?
A)
Zero
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B)
Rs 144
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C)
Rs 256
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D)
Rs 400
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View Answer play_arrow
The square root of 9 + 2\[\sqrt{14}\] is
A)
\[1+2\sqrt{2}\]
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B)
\[\sqrt{3}+\sqrt{6}\]
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C)
\[\sqrt{2}+\sqrt{7}\]
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D)
\[2+\sqrt{5}\]
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View Answer play_arrow
What is the value of \[2+\sqrt{2}+\frac{1}{2+\sqrt{2}}-\frac{1}{2-\sqrt{2}}?\]
A)
2
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B)
\[2-\sqrt{2}\]
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C)
\[4+\sqrt{2}\]
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D)
\[2\sqrt{2}\]
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Which of the following can be zero when a particle is in motion for some time?
A)
Distance
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B)
Displacement
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C)
Speed
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D)
None of these
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View Answer play_arrow
Which of the followng distance versus time graphs can possibly represent one dimentsional sional motion of the particle?
A)
done
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B)
done
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C)
done
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D)
done
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View Answer play_arrow
A cyclist moving on a circular track of radius 40m completes half a revolution in 40 sec. Its average velocity is
A)
Zero
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B)
2 m/sec
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C)
4 n m/sec
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D)
8 k m/sec
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Tripling the speed of a motor car multiplies the distance needed for stopping it by
A)
3
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B)
6
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C)
9
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D)
Nothing can be decided
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A body cannot have a
A)
Zero speed and non zero acceleration
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B)
Non zero speed and zero acceleration
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C)
Constant velocity and a varynig speed
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D)
Constant speed and a varying velocity
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View Answer play_arrow
A man is at rest in the middle of a block of smooth ice. He cannot get to the shore by making use of Newton's
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)
First and second law of motion
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You lift a suitcase from the floor and keep it on the table. The work done by you on the suitcase depends on
A)
The path taken by the suitcase
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B)
Your weight
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C)
The weight of the suitcase
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D)
The time taken by you in doing so
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View Answer play_arrow
The equivalent resistance of network of three 2Q resistors can not be
A)
\[0.67\Omega \]
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B)
\[2\Omega \]
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C)
\[3\Omega \]
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D)
\[6\Omega \]
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Awire of resistance R is cut into n equal parts.These parts are then connected in parallel. The equivalent resistant of the combination will be
A)
nR
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B)
\[\frac{R}{n}\]
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C)
\[\frac{n}{R}\]
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D)
\[\frac{R}{{{n}^{2}}}\]
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Which of the following graphs represents an ohmic resistance?
A)
done
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B)
done
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C)
done
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D)
done
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Two point charges \[+4\mu C\]and \[+2\mu C\]repel each other with a force of 8N. If a charge of- 4p.C is added to each of these charges, the force would be
A)
4N
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B)
8N
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C)
12N
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D)
zero
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For a given voltage V, if resistance is changed from R to\[\left( \frac{R}{n} \right)\], then the power consumed changes from P to
A)
nP
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B)
\[{{n}^{2}}P\]
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C)
\[\frac{P}{n}\]
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D)
\[\frac{P}{{{n}^{2}}}\]
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View Answer play_arrow
Absolute zero is the temperature at which
A)
Water freezes
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B)
Substances exist in solid state
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C)
Molecular motion stops
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D)
None of these happens
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View Answer play_arrow
Which of the following has the highest specific heat?
A)
Copper
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B)
Water
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C)
Hydrogen
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D)
Silver
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The amount of light entering the eye is controlled by
A)
Cornea
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B)
Iris
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C)
Eye lens
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D)
Ciliary muscle
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View Answer play_arrow
What the colour of flame produced when sulphur is burnt?
A)
Red
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B)
Blue
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C)
Yellow
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D)
White
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The number of carbon atoms in diesel oil is
A)
1 to 4
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B)
5 to 9
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C)
12 to 15
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D)
15 to 19
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CFCs are used in
A)
Air conditioners
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B)
Aerosols
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C)
The manufacture of polyesterene
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D)
All of the above
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View Answer play_arrow
\[{{H}_{2}}\]gas is collected in a jar by
A)
Upward displacement of air
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B)
Downward displacement of air
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C)
Upward displacement of water
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D)
Downward displacement of water
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View Answer play_arrow
The colour of \[N{{O}_{2}}\]is
A)
Red
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B)
Brown
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C)
Yellow
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D)
Blue
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View Answer play_arrow
The mixture of metals Cu and Zn is
A)
Brass
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B)
Bronze
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C)
Solder wire
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D)
Steel
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Combustion is
A)
Endothermic reaction
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B)
Exothermic reaction
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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
Which non metal is used in preparing urea?
A)
Nitrogen and oxygen
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B)
Nitrogen and chlorine
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C)
Nitrogen and hydrogen
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D)
Hydrogen and chlorine
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View Answer play_arrow
How many electrons does Nitrogen have?
A)
5
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B)
7
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C)
6
done
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D)
4
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Yellow colour in the flame denotes
A)
Outer zone
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B)
Middle zone
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C)
Inner zone
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D)
None of these
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View Answer play_arrow
Choose the wrong statement:
A)
Cu react with \[Dil.{{H}_{2}}S{{O}_{4}}\]to form \[{{H}_{2}}\]gas
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B)
Cu is less reactive than \[{{H}_{2}}\]
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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
When Cu is heated in the presence of \[{{O}_{2}}\]
A)
Green coating \[(CuC{{O}_{3}})\]is formed
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B)
Black coating (CuO)
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C)
Blue coating \[(CuC{{O}_{4}})\]is formed
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D)
None of the above
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View Answer play_arrow
What happens when \[C{{O}_{2}}\]is not present in the atmosphere of earth?
A)
The temperature is reduced
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B)
Earth becomes cold planet
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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
These cell organelles are actually involved in destroying the worn out and non functional parts of the cell. These are
A)
Centrioles
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B)
Lysosomes
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C)
Chromosomes
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D)
Nuclear organizers
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View Answer play_arrow
Which of the following structures have white muscle fibre?
A)
Muscles present in our back which help to keep our body erect
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B)
Flight muscles of kite
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C)
Eye ball muscles
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D)
All the above
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View Answer play_arrow
Where is the Serengeti National park situated?
A)
Tanzania
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B)
California
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C)
Northern Colorado
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D)
Nova Scotia
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Which out of the following is no more an endangered species?
A)
Komodo Dragon
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B)
Royal Bengal Tiger
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C)
Indian Sparrow
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D)
American Alligator
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One of the commonly used weedicide is
A)
Chloropyriphos
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B)
Gammaxene
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C)
Zinc Phosphide
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D)
2,4-D
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View Answer play_arrow
Which of the following sets of animals belong to a single taxonomic group?
A)
Cuttle fish, Jelly fish. Silver fish , Dog fish , Star fish
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B)
Bat, Pigeon, Butterfly
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C)
Monkey, Chimpanzee. Man
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D)
Silkworm, Tapeworm, Earthworm
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View Answer play_arrow
Sodium benzoate and sodium metabisulphite are commonly used as
A)
Detergents
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B)
Disinfectants in hospitals
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C)
Food preservative
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D)
Insecticides
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View Answer play_arrow
Sugar acts as a preservative by
A)
Reducing the moisture content which inhibits the growth of bacteria
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B)
Producing compounds in the food that are toxic to bacteria
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C)
Forming a protective covering on the food to be preserved
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D)
Rendering the bacteria ineffective
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View Answer play_arrow
Goiter is a disease associated with
A)
Thyroid gland
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B)
Pancreas
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C)
Testes
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D)
Ovaries
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The hormone that helps the body to adjust in stress when one is angry, embarrassed or worried is
A)
Oestrogen
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B)
Testosterone
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C)
Adrenalin
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D)
Thyroxin
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To prevent pregnancy the fallopian tube is blocked with this device:
A)
Tube blocker
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B)
Tubectomy
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C)
Copper- T
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D)
Vasectomy
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View Answer play_arrow
The lactation period in females is referred to as
A)
Gestation period
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B)
Lactation period
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C)
Menstrual period
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D)
Both [a] and [b]
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View Answer play_arrow
The variety of honey bee that is preferred for commercial honey production is
A)
Italian variety
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B)
Indian variety
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C)
American variety
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D)
African variety
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View Answer play_arrow
Maratha Kingdoms were located mainly in the ____ parts of India.
A)
Northern
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B)
Southern
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C)
Eastern
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D)
Western
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View Answer play_arrow
The Albert Bill was introduced during the Governor Generalship of
A)
Lord Hastings
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B)
Lord Lytton
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C)
Lord Ripon
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D)
None of the above
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In 1877, Viceroy Lytton organised a grand durbar at
A)
Calcutta
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B)
Bombay
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C)
Delhi
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D)
Madras
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View Answer play_arrow
The Viceroy's palace is known as
A)
Rashtrapati Bhawan
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B)
Pradhanmantri Bhawan
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C)
Mantri Bhawan
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D)
Raj Bhawan
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View Answer play_arrow
The population of Delhi grew all of a sudden after
A)
British Rule
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B)
Partition
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C)
Independence
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D)
None of these
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View Answer play_arrow
Which of the following were an important port town in the 17th century?
A)
Surat
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B)
Hugh
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C)
Machlipatnam
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D)
All of these
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Bandhni pattern were mostly produced in
A)
Gujarat
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B)
Orissa
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C)
Rajasthan
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D)
Bengal
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The job of the rangrez was to
A)
Weave the cloth
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B)
Dye the thread
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C)
Transport goods
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D)
Spin thread
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View Answer play_arrow
The practice of Sati was banned in the year
A)
1800
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B)
1821
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C)
1827
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D)
1829
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View Answer play_arrow
The Congress split off at the
A)
Benaras session in 1905
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B)
Calcutta session in 1906
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C)
Surat session in 1907
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D)
Lucknow session in 1916
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View Answer play_arrow
Periyar founded
A)
Self Respect Movement
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B)
Temple Entry Movement
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C)
Dalit Movement
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D)
Paramhans Mandii
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View Answer play_arrow
Which of the following was brought in with the British art?
A)
Oil painting
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B)
Miniature
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C)
Life size portraits
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D)
Use of perspective
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In India voting right to all its citizens was granted in the year
A)
1947
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B)
1948
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C)
1950
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D)
1952
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View Answer play_arrow
A country's Constitution is regarded sacred because it contains the people's
A)
Aspiration
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B)
Ideals
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C)
Values
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D)
Goals
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Who among the following is a part of political executive?
A)
Magistrate
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B)
Home Minister
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C)
Chief Justice
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D)
D.I.G.
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In our country elections are conducted by the
A)
Parliament
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B)
Judiciary
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C)
Election Commission
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D)
Executive
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View Answer play_arrow
The percentage of Muslim children attending madassas is
A)
4%
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B)
66%
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C)
30%
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D)
90%
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View Answer play_arrow
Adivasis are also known as
A)
Backward class
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B)
General Castes
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C)
Dalits
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D)
Scheduled Castes
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View Answer play_arrow
Women in India are discriminated in
A)
Political life
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B)
Social life
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C)
Economic life
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D)
All of these
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View Answer play_arrow
Aperson who says that religion is the principal basis of community is called a
A)
Casteist
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B)
Secularist
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C)
Communalist
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D)
Feminist
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A system that values men more and gives them power over the women is called
A)
Patriarchy
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B)
Matriarchy
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C)
Parenthood
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D)
Community
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Which of the following subject is not included in the State List?
A)
Law and order
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B)
National defence
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C)
Education
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D)
Agriculture
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View Answer play_arrow
The Constitution has given the status of national language to which of the following?
A)
English
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B)
Hindi
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C)
Tamil
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D)
None of these
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View Answer play_arrow
Social differences arise due to differences
A)
Race
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B)
Religion
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C)
Language
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D)
Any one of the above
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View Answer play_arrow
The highest institution of Panchayati Raj in rural areas is
A)
Gram Sabha
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B)
Zila Parishad
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C)
Gram Panchayat
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D)
Gram Samiti
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View Answer play_arrow
Democracy does not stand for
A)
Democratic Rights
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B)
Elections
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C)
Violence
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D)
Diversity
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How will you classify resources on the basis their origin?
A)
Abiotic and Biotic
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B)
Renewable and non-renewable
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C)
Developed and stock
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D)
Reserves and stock
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View Answer play_arrow
Which of the following is an example of abiotic resources?
A)
Flora
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B)
Fauna
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C)
Livestock
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D)
Metals
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How much percentage area is covered by plains in India?
A)
30%
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B)
27%
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C)
53%
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D)
43%
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Which of the following types of soil covers the largest part of India?
A)
Black soil
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B)
Alluvial soil
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C)
Yellow soil
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D)
Red soil
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The number of species of fauna found in India is
A)
Over 81,000
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B)
Below 81000
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C)
Over 21,000
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D)
Below 47.0X
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Number of species of flora in India are
A)
46,000
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B)
46,500
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C)
47,000
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D)
47,300
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Cinchona trees are found in the areas having rainfall more than
A)
150cm
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B)
70cm
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C)
200cm
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D)
100cm
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70% of fresh -water occurs m ice glaciers in
A)
Antarctica
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B)
Greenland
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C)
Mountain Region
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D)
All of these
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Which of the following is the cropping season in India?
A)
Rabi season
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B)
Kharif season
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C)
Zaid season
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D)
All of these
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____ is a kharif crop of India.
A)
Rice
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B)
Wheat
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C)
Gram
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D)
Barley
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Metals in their raw state as extracted from the earth are known as
A)
Mineral oil
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B)
Mineral ore
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C)
Mineral deposits
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D)
Rock
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Which physical factors affect the location of industries?
A)
Availability of raw material
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B)
Availability of power resources
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C)
Suitable climatic condition
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D)
All of these
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Anything that can be used to satisfy our needs is called a ____
A)
Resource
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B)
Utility
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C)
Worth
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D)
Value
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