Consider the following decimal numbers'.
1. \[1.16666666...\]
2. \[1.181181118...\]
3. 2.010010001....
4. 1.454545.....
Which of the above numbers represent(s) rational number(s)?
A)
4 only
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B)
2 and 3
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C)
1 and 4
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D)
None of the above.
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For what value of k, will the expression\[3{{x}^{2}}-k{{x}^{2}}+4x+16\] be divisible by \[\left( x-\frac{k}{2} \right)?\]
A)
4
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B)
-4
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C)
2
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D)
0
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How many real values of x satisfy the equation\[{{x}^{\frac{2}{3}}}+{{x}^{\frac{1}{3}}}-2=0?\]
A)
Only 1 value
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B)
2 values
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C)
3 values
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D)
No value
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A scooterist completes a certain journey in 10 hrs. He covers half the distance at 30 kmph. and the rest at 70 kmph. What is the total distance of the journey?
A)
210km
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B)
400km
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C)
420km
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D)
500km.
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42 men take 25 days to dig a pond. If the pond would have to be dug in 14 days, then what is the number of men to be employed?
A)
67
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B)
75
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C)
81
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D)
84
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An amount at a certain rate of compound interest doubles itself in 4 years. In how many years will this amount become 8 times?
A)
8
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B)
12
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C)
16
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D)
24
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A trader marked a watch 40% above the cost price and then gave a discount of 10%. He made a net profit of Rs. 468 after paying a tax of 10% on the gross profit. What is the cost price of the watch?
A)
Rs. 1,200
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B)
Rs. 1,800
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C)
Rs. 2,000
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D)
Rs.2,340
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Consider a circle C of radius 6 cm with center at 0. What is the difference in the area of the subtending an angle of 80° at O?
A)
\[26\,\pi \,c{{m}^{2}}\]
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B)
\[16\,\pi \,c{{m}^{2}}\]
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C)
\[28\,\pi \,c{{m}^{2}}\]
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D)
\[30\,\pi \,c{{m}^{2}}\]
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Triangles ABC and DEF are similar such that \[\frac{AB}{DE}=\frac{BC}{EF}\]. The area of \[\Delta ABC\] is \[16\,c{{m}^{2}}\]And that of \[\Delta DEF\]is 49\[c{{m}^{2}}\]. If \[BC=2\sqrt{2}\] cm then what is EF equal to?
A)
3.5cm
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B)
\[(3.5)\sqrt{2}cm\]
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C)
\[(3.5)\sqrt{3}cm\]
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D)
\[7.0cm\]
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If the distance from the vertex to the centroid of an equilateral triangle is 6 cm. 3m is the area of the triangle?
A)
\[24c{{m}^{2}}\]
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B)
\[27\sqrt{3}c{{m}^{2}}\]
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C)
\[12\,c{{m}^{2}}\]
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D)
\[12\sqrt{3}\,c{{m}^{2}}\]
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In a\[\Delta ABC\], AB = AC. A circle through B touches AC at D and intersects AB at P. If D is the mid-point of AC, which one of the following is correct?
A)
AB=2AP
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B)
AB=3AP
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C)
AB=4AP
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D)
2AB=5AP
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If the diameter of a wire is decreased by 10%, by how much percent (approx.) will the length be increased to keep the volume same?
A)
5%
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B)
17%
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C)
20%
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D)
23%
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The volume of a cuboid whose sides are in the ratio of 1 : 2 : 4 is the same as that of a cube. What is the ratio of length of diagonal of cuboid to that of a cube?
A)
\[\sqrt{7}:1\]
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B)
\[\sqrt{7}:2\]
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C)
\[\sqrt{7}:3\]
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D)
\[\sqrt{7}:4\]
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What is the least number which when divided by 7,9 and 12 leaves the remainder 1 in each case?
A)
253
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B)
352
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C)
505
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D)
523
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A man borrowed Rs. 40000 at 8% simple interest per year. At the end of the second year he paid back certain amount and at the end of fifth year he paid back Rs. 35,960 and cleared the debt. What amount did he pay back after the second year?
A)
Rs. 16,200
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B)
Rs. 17,400
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C)
Rs. 18,000
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D)
None of these
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Two numbers have 16 as their HCF and 146 as their LCM. How many such pair of numbers are there?
A)
No such pair
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B)
Only 1
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C)
Only 2
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D)
More than 2
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What is the angle which equals one-fifth of its supplement?
A)
\[15{}^\circ \]
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B)
\[30{}^\circ \]
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C)
\[36{}^\circ \]
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D)
\[75{}^\circ \]
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What is the unit digit of the product of al prime numbers between 1 and 100?
A)
0
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B)
1
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C)
2
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D)
3
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Which one of the following is the factor of \[{{x}^{4}}+x{{y}^{3}}+x{{z}^{3}}+{{x}^{3}}y+{{y}^{4}}+y{{z}^{3}}?\]
A)
x+y+z
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B)
\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}\]
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C)
\[{{x}^{3}}+{{y}^{2}}+{{z}^{2}}\]
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D)
\[{{x}^{2}}+{{y}^{2}}\]
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What is the square root of \[\left( \frac{{{x}^{5}}-1}{x-1} \right)+{{x}^{3}}\]\[+2{{x}^{2}}+x?\]
A)
\[{{x}^{2}}+x+1\]
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B)
\[{{x}^{2}}-x+1\]
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C)
\[{{x}^{2}}-x-1\]
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D)
\[{{x}^{2}}+x-1\]
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The displacement of the particle is proportional to first power of time. Its acceleration is
A)
Infinite
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B)
Zero
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C)
Finite but small
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D)
Finite but large
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A body of mass 2kg has initial velocity of 3 \[m{{s}^{-1}}\]along x-axis. It is subjected to a force of 4N in a direction perpendicular to x-axis. The displacement of the body after 4s is given by
A)
12m
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B)
20m
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C)
28m
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D)
48m
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A particle goes round a circular path of radius r with uniform speed v. After describing half the circle, the average acceleration of the particle is:
A)
\[\frac{{{\upsilon }^{2}}}{\pi r}\]
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B)
\[\frac{{{\upsilon }^{2}}}{r}\]
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C)
\[\frac{2{{\upsilon }^{2}}}{\pi r}\]
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D)
\[\frac{2{{\upsilon }^{2}}}{r}\]
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In the above question 23, what is the change in its centripetal acceleration?
A)
\[\frac{{{\upsilon }^{2}}}{\pi r}\]
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B)
\[\frac{{{\upsilon }^{2}}}{r}\]
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C)
\[\frac{2{{\upsilon }^{2}}}{\pi r}\]
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D)
\[\frac{2{{\upsilon }^{2}}}{r}\]
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A jet engine works on the principle of
A)
Conservation of mass
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B)
Conservation of linear momentum
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C)
Conservation of energy
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D)
All the above
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Work done by the force of friction
A)
Always positive but not unity
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B)
Always negative
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C)
Always unity
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D)
Always infinity
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A body weights 400 N at the surface of the earth. When taken at the centre of the earth, its weight will be
A)
400 N
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B)
SOON
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C)
4000 N
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D)
Zero
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The velocity of sound is greatest in
A)
Water
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B)
Air
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C)
Vacuum
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D)
Metal
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Which of the following lenses, would you prefer to use while reading small letters found in a dictionary?
A)
A convex lens of focal length 50 cm.
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B)
A concave lens of focal length 50cm.
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C)
A convex lens of focal length 5 cm.
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D)
A concave lens of focal length 5 cm.
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Linear magnification of a plane mirror is
A)
Zero
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B)
Less than unity
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C)
Equal to unity
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D)
Greater than unity
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What is the equivalent resistance between A and B in the following network?
A)
10
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B)
20
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C)
40
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D)
80
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One-half of a convex lens is covered with a black paper. Then it will
A)
Not produce any image of the object
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B)
Produce half image of the object
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C)
Produce complete image of the object
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D)
Produce magnified image of the object, irrespective of the position of the object
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When light goes from one medium to another medium, which of the following physical quantityies remains same?
A)
Speed of light
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B)
Wavelength of light
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C)
Frequency of light
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D)
All the above
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Magnetic field inside a solenoid is
A)
Non-uniform and strong
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B)
Uniform and weak
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C)
Uniform and strong
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D)
Non-uniform and weak
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At the time of short circuit, the current in the circuit
A)
Reduces substantially
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B)
Increases heavily
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C)
Varies continuously
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D)
Does not change
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Non-metals are used in making
A)
Aeroplanes
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B)
Machinery
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C)
Water boilers
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D)
Fertilizers
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Which non-metal reacts with air vigorously but not with water?
A)
Sulphur
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B)
Phosphorous
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C)
Carbon
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D)
Nitrogen
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\[F{{e}_{2}}{{O}_{3}}+2A{{I}_{2}}{{O}_{3}}+2Fe\] The above reaction is an example of
A)
Combination reaction
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B)
Decomposition reaction
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C)
Double displacement reaction
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D)
Displacement reaction
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Choose the correct option for the given metals Mercury, Iron, Sodium and Potassium:
A)
Highly reactive metals
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B)
Low reactive metals
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C)
They have high melting and boiling p-ma
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D)
They are all solids
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When sodium kept open in air, it reacts with
A)
\[{{O}_{2}},C{{O}_{2}}\]and moisture
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B)
\[{{O}_{2}}\], and moisture
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C)
\[{{O}_{2}},and\,C{{O}_{2}}\]
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D)
\[{{O}_{2}},\] only
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Metal which does not produce their hydroxide with water is
A)
Sodium
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B)
Zinc
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C)
Magnesium
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D)
Calcium
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Metals behave as a good reducing agent, because
A)
They have low ionisation energy
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B)
They can loose electrons easily
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C)
Both [a] and [b]
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D)
None of the above
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The valence shell in potassium is
A)
'K'shell
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B)
T shell
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C)
'M'shell
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D)
'N'shell
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An element having electronic configuration 2, 8,1 is more reactive than the element having electronic configuration
A)
2,8,2
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B)
2,8,3
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C)
2,8,4
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D)
All of the above
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Which of the following methods is suitable for preventing an iron frying pan from rusting?
A)
Applying grease
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B)
Applying paint
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C)
Applying a coating of zinc
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D)
All of the above
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To make bed sheets, Rayon is mixed with
A)
Cotton
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B)
Acrylic
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C)
Polyester
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D)
Plastic
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The process which is not taking place on the principle of electrolysis is
A)
Electroplating
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B)
Galvanisation
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C)
Purification of impure copper
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D)
Decomposition of water
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Air pollution can be reduced by
A)
Planting more trees
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B)
Using less fossil fuels
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C)
Decomposing vegetable wastes
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D)
All of the above
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Nali, Ravi, Surti and Murrah are the Indian breeds of
A)
Sheep
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B)
Goats
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C)
Buffaloes
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D)
Camels
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Bordeaux mixture, a mixture of copper sulphate and calcium hydroxide, has been used for
A)
Control of diseases of poultry birds
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B)
Control of plant diseases caused by viruses
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C)
Control of malaria
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D)
Control of plant diseases caused by fungi.
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Mycorrhiza is the term referring to
A)
Parasitic association of fungi with important crops
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B)
Symbiotic association of fungi with the roots of certain seed bearing plants
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C)
Fungi growing on plant wastes lying in the farm after harvest
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D)
Fungi growing on cattle feed making it poisonous
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Asbestos and soot are considered dangerous because they
A)
Can damage the cement concrete structures leading to a gradual collapse
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B)
Can cause cancer of the lungs
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C)
Can enter the food chain leading to elimination of endangered species
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D)
Are poisonous compounds for the agricultural plants
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This gland plays a major role in the development of immune system:
A)
Thymus gland
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B)
Pineal gland
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C)
Adrenal gland
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D)
Testes
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In vitro fertilization is the technique of
A)
Substituting the nucleus of ovum by nucleus from a vegetative cell and inducing it to develop into an embryo and subsequently into an individual organism in laboratory conditions
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B)
Fertilization of ovum by sperms collected from selected male
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C)
Fertilization of ovum in laboratory conditions outside the female body
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D)
Transfer of ovum of one female into the fallopian tube of another female
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Autogamy is a kind of
A)
Pollination within the same flower
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B)
Pollination in which pollen grains are transferred to another flower of the same plant
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C)
Pollination in which pollen grains are transferred to flower of a different plant
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D)
Pollination between two non-compatible genera
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Bagging of the female flower is done to
A)
prevent the insects from visiting the flowers
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B)
prevent contamination of its stigma with unwanted pollen
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C)
protect the flower from being destroyed by birds
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D)
prevent the flower from drying out under the hot sun
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Terrace farming on maintains is done to:
A)
Prevent soil erosion
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B)
Prevent soil pollution
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C)
Increase soil fertility
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D)
All of the above
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View Answer play_arrow
Thorns are actually the modifications of
A)
Stems
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B)
Leaves
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C)
Leafbases
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D)
Tendrils
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The phototrophic response of plant towards unidirectional light is due to the plant hormone
A)
Auxin
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B)
Cytokinin
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C)
Gibberellin
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D)
Abscisic acid
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The cell walls of root cells help in water absorption by the process of
A)
Exosmosis
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B)
Endosmosis
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C)
Imbibition
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D)
Plasmolysis
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The nutritive tissue that is present in the seeds of some plants is called
A)
Endosperm
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B)
Food tissue
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C)
Mother tissue
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D)
Nutritive back up tissue
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The first Indian woman to become President of the Indian National Congress was
A)
Kamla Nehru
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B)
Sarojini Naidu
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C)
Kasturba Gandhi
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D)
Annie Besant
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'Kesari' was a ? newspaper.
A)
Punjabi
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B)
Marathi
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C)
Gujarati
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D)
Sanskrit
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The Quit India Movement was started in
A)
1940
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B)
1941
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C)
1942
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D)
1943
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Religious functionaries of Sikh Gurudwaras are known as
A)
Purohits
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B)
Mahantas
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C)
Gurus
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D)
None of these
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Chauri -Chaura incident took place in 1922 at
A)
Nagpur
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B)
Gorakhpur
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C)
Kanpur
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D)
Bharatpur
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Oudh Kisan Sabha was set up in Oct. 1920. The movement here was against
A)
Talukdars
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B)
Landlords
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C)
Peasants
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D)
Both [a] and [b]
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After coming back from South Africa in 1915, Gandhiji organised Satyagraha Movement at
A)
Champaran
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B)
Kheda
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C)
Ahmedabad
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D)
All of these places
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View Answer play_arrow
Why Indian Textile was renowned all over the world?
A)
Their fine quality
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B)
Beautiful craftsmanship
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C)
They were hand made
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D)
All of the above
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Tipu's sword was made of wootz steel which has
A)
Sharp edge
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B)
Light weight
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C)
Shining surface
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D)
All of these
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Kusum and Palash flowers were used to
A)
Prepare medicine
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B)
Make garlands
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C)
Colour clothes
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D)
Make hair oil
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The gaddis of KLulu were
A)
Cattle herders
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B)
Shepherds
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C)
Hunters
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D)
Fruit gatherers
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The Mahalwari system was introduced in
A)
1822
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B)
1832
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C)
1857
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D)
1843
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Who among the following reacted against the western education?
A)
Rabindranath Tagore
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B)
Mahatma Gandhi
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C)
Both [a] and [b]
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D)
None of them.
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In India 33% seats are reserved for women in
A)
Lok Sabha
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B)
Vidhan Sabha
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C)
Cabinets
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D)
Panchayati Raj Bodies
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View Answer play_arrow
Which among the following statemeaa scam. India's constitution is wrong?
A)
It gives official status to one religion
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B)
It ensures equality among citiz,?
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C)
It gives freedom of press
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D)
It gives freedom of following one?s religion
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A person who says that religion is the principal basis of community is
A)
Feminist
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B)
Secularist
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C)
Communalist
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D)
Casteist
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Who among the following is the founder of the Bahujan Samaj Party?
A)
B.K. Ambedkar
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B)
Mayawari
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C)
Kanshi Ram
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D)
Jatiba Phuie
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Democracies need to ensure S
A)
Free and fair election
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B)
Majority rule
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C)
Economic development
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D)
None of these
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In 1934, the Indian National Congress made the demand for
A)
Pooma Swaraj
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B)
Constituent Assembly
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C)
Universal suffrage
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D)
All of these
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Government schools don't celebrate _____festivals in the school premises.
A)
Social
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B)
National
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C)
Religious
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D)
Local
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The Parliament keeps a check on the
A)
Public
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B)
Ministers
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C)
Judges
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D)
MPs
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The Charter of U.N. was signed at
A)
Geneva
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B)
San Francisco
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C)
Paris
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D)
London
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During 1984 Lok Sabha elections were not held in
A)
Punjab
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B)
Haryana
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C)
Bihar
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D)
Gujarat
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View Answer play_arrow
How many members are nominated by the President for Lok Sabha?
A)
12
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B)
15
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C)
02
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D)
10
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Our Fundamental Rights are protected by the
A)
Courts
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B)
Constitution
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C)
Parliament
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D)
President
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Which one is not associated with civil law?
A)
Divorce
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B)
Theft
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C)
Rent
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D)
Sale of land
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Which resource fulfils 95% of our food requirement?
A)
Land
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B)
Air
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C)
Water
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D)
Wind
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Which layer of soil is most fertile?
A)
Clay layer
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B)
Top soil
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C)
Rock soil
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D)
All of these
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How much area in India is covered by mountains?
A)
30%
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B)
27%
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C)
53%
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D)
43%
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Nagarjuna Sagar dam is in
A)
Madhya Pradesh
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B)
Uttar Pradesh
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C)
Andhra Pradesh
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D)
Rajasthan
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The second most important food crop of India is
A)
Rice
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B)
Wheat
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C)
Pulses
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D)
All of these
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Which of the following is the largest producer of oilseeds in the world?
A)
India
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B)
China
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C)
U.S.A.
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D)
Brazil
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Which religion is prominent in Ladakh?
A)
Islam
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B)
Hindu
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C)
Buddhism
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D)
Christianity
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Which of the following can not be done by the solar power?
A)
Water heating
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B)
Space heating
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C)
Crop drying
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D)
Navigation
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Per capita consumption of steel in India is about
A)
23kg
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B)
27kg
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C)
32kg
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D)
47kg
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What is the number of aluminum smelting plants in India?
A)
8
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B)
6
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C)
10
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D)
7
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Movement of people across regions and territories is called
A)
Migration
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B)
Immigration
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C)
Emigration
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D)
Transportation
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Which of the following is not aprimary activity?
A)
Animal husbandry
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B)
Transport
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C)
Forestry
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D)
Fishing
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Soil with high water retaining capacity is
A)
Black soil
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B)
Arid soil
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C)
Laterite soil
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D)
Red and Yellow
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