If \[\frac{37}{13}=2+\frac{1}{x+\frac{1}{y+\frac{1}{z}}}\] where x, y, z are natural numbers, then x, y, z are respectively
A)
1, 2, 5
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B)
1, 5, 2
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C)
5, 2, 11
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D)
11, 2, 5
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The sides of a triangle have lengths 15 cm, 20 cm and 25 cm. What is the length (in. cm) of the shortest altitude of the triangle?
A)
6
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B)
12
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C)
12.5
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D)
13
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Incomes of A, B and C are in the ratio 7:9:12 and their expenditures are in the ratio 8:9:15. If A saves 25% of his income, then their savings are in the ratio
A)
56:69:99
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B)
56:99:69
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C)
69:56:99
done
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D)
99:56:69
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Let there be n numbers (where n > 1) of which one is \[\left( 1-\frac{1}{n} \right)\]and the rest are 1. The mean of n numbers is
A)
1
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B)
\[n-\frac{1}{n}\]
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C)
\[1-\frac{1}{{{n}^{2}}}\]
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D)
\[n-\frac{1}{{{n}^{2}}}\]
done
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On simplification of \[\frac{\left[ \begin{align} & bx({{a}^{2}}{{x}^{2}}+2{{a}^{2}}{{y}^{2}}+{{b}^{2}}{{y}^{2}}) \\ & +ay({{a}^{2}}x+2{{b}^{2}}{{x}^{2}}+{{b}^{2}}{{y}^{2}} \\ \end{align} \right]}{bx+ay}\] we get:
A)
\[{{a}^{2}}{{x}^{2}}+{{b}^{2}}{{y}^{2}}\]
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B)
\[{{(ax+by)}^{2}}\]
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C)
\[{{(bx+ay)}^{2}}\]
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D)
\[(ax+by)(bx+ay)\]
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If the line AB || CD, then the value of \[{{x}^{\text{o}}}\]in the adjoining figure is
A)
\[105{}^\circ \]
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B)
\[{{125}^{\text{o}}}\]
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C)
\[130{}^\circ \]
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D)
\[{{120}^{\text{o}}}\]
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If\[x=3+2\sqrt{2}\], then the value of \[\sqrt{x}-\frac{1}{\sqrt{x}}\] is
A)
1
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B)
2
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C)
\[2\sqrt{2}\]
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D)
\[3\sqrt{3}\]
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A tradesman marks his goods 30% above the C.P. If he allows a discount of \[6\frac{1}{4}%\], then his gain percent is
A)
\[21\frac{7}{8}%\]
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B)
\[22%\]
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C)
\[23\frac{3}{4}%\]
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D)
None of these
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In an examination, 34% of the students failed in Mathematics and 42% failed in English. If 20% of the students failed in both the subjects, then the percentage of students who passed in he subject was
A)
44
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B)
50
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C)
54
done
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D)
56
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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining was done by A in
A)
5 days
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B)
6 days
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C)
10days
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D)
\[10\frac{1}{2}\]days
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If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is
A)
20%loss
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B)
20% gain
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C)
5% loss
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D)
25% gain
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2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same in 8 days. Compare the work done by a man with that of a boy.
A)
3:1
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B)
5:2
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C)
7:2
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D)
3:2
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If a sum of money at a certain rate of simple interest doubles itself in 6 years, then the same sum at the same rate shall becomes 6 times in how many years?
A)
30 years
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B)
36 years
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C)
12 years
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D)
24 years
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A regular polygon has angle of 120°. How many sides will this polygon have?
A)
8
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B)
6
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C)
5
done
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D)
10
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The perimeter of a triangle is 30 cm and the circumference of its incircle is 88 cm. The area of the triangle is
A)
70\[c{{m}^{2}}\]
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B)
140\[c{{m}^{2}}\]
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C)
210\[c{{m}^{2}}\]
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D)
420\[c{{m}^{2}}\]
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A thief steals a car at 1 p.m. and drives it at 45 km p.h. The theft is discovered at 2 p.m. and the owner of the car follows the thief in another car at 54 km.p.h. When will he over- take the thief?
A)
6:30 p.m.
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B)
7p.m.
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C)
7:15 p.m.
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D)
8p.m.
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In the given figure, if PQRS is a rectangle, which one of the following is true?
A)
Area of AAPS=Area of AQRB
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B)
PA=PB
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C)
Area of APQS = Area of AQRS
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D)
All of these
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If the bases of two similar triangles are in the ratio 2:3, then their perimeters are in the ratio
A)
4:9
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B)
4:5
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C)
2:3
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D)
3:2
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If two circles touch each other externally, then the number of common tangents to the circles is
A)
4
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B)
3
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C)
2
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D)
1
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Sum of the two numbers is 20 and their product is 96. The sum of their reciprocals is
A)
\[\frac{11}{12}\]
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B)
\[\frac{7}{14}\]
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C)
\[\frac{3}{4}\]
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D)
\[\frac{5}{24}\]
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View Answer play_arrow
Out of the following, which is a mechanical wave?
A)
Radio wave
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B)
Light wave
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C)
Infrared wave
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D)
Soundwave
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The distance between the crest and the next trough in transverse wave is
A)
\[\frac{\lambda }{2}\]
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B)
\[\frac{\lambda }{4}\]
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C)
\[\lambda \]
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D)
\[2\lambda \]
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A wave of short duration confined to a small portion of a medium at any given time is called a
A)
Pulse
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B)
Longitudinal wave
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C)
Trough
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D)
Periodic wave
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The focal length of a plane mirror is
A)
1
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B)
-1
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C)
Zero
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D)
Infinity
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The image formed by a concave mirror is seen to be virtual, erect and larger than the object. The position of the object then must be
A)
Between the pole of the mirror and its focus
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B)
Between the focus and the centre of curvature
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C)
At the centre of curvature
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D)
Beyond the centre of curvature
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For an object at infinity, the focal length of a normal eye lens is about
A)
1m
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B)
1.5m
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C)
1.7cm
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D)
0.25m
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When a glass rod is rubbed against silk, the glass rod develops positive charge. The charge on the silk cloth is
A)
Negative
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B)
Positive
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C)
No charge
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D)
Partially negative and partially positive
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At different temperatures (\[{{T}_{1}},{{T}_{2}},{{T}_{3}})\]V-I graphs for a conductor are different. The graph with _____ slope shows ______ resistance and vice versa.
A)
Less, more
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B)
Less, less
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C)
More, more
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D)
Zero, infinite
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Sl unit of resistivity is
A)
\[\Omega \]
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B)
\[{{\Omega }^{-1}}\]
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C)
\[\Omega m\]
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D)
\[{{\Omega }^{-1}}{{m}^{-1}}\]
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The value of resistivity of super conductor is
A)
Zero
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B)
-1
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C)
1
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D)
Infinity
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How many times will the total resistance of n identical conductors be reduced if the series arrangement is changed to parallel one?
A)
\[{{n}^{2}}\]
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B)
\[\frac{1}{{{n}^{2}}}\]
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C)
\[\frac{1}{{{n}^{3}}}\]
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D)
\[{{n}^{3}}\]
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The resistance of the following eircuit between A and B is
A)
\[\frac{3}{2}\Omega \]
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B)
\[2\Omega \]
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C)
\[4\Omega \]
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D)
\[8\Omega \]
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A ball is thrown vertically upwards, Which of the following graphs represents velocity-time graph of the ball during its flight,ignoring air 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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Which of the following graphs represents velocity-time relationship for a falling apple?
A)
done
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B)
done
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C)
done
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D)
done
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If momentum of a body increases by 50%, its kinetic energy will increase by
A)
50%
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B)
100%
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C)
125%
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D)
150%
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View Answer play_arrow
The correct sequence of metals in increasing order of conductivity is
A)
\[Cu<Ag<Al<Fe\]
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B)
\[Fe<Ag<Al<Cu\]
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C)
\[Cu<Fe<Al<Ag\]
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D)
\[Fe<Al<Cu<Ag\]
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A thin layer is formed on the surface of Aluminium, when it is exposed to air is ______ colour.
A)
Green
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B)
Blue
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C)
Yellow
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D)
White
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Which of the following metals can be displaced by aluminium, from its salt solution?
A)
Mg
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B)
Na
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C)
Ca
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D)
Zn
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Sodium is a high reactive metal because I. It is soft metal II.It has one electron in its outermost shell
A)
is correct
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B)
II is correct
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C)
Both I and II are correct
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D)
Neither I nor II are correct
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The colour of coating formed, when copper is exposed to moist air is
A)
Green
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B)
Black
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C)
Blue
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D)
Brown
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The metal present in limestone is
A)
Sodium
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B)
Magnesium
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C)
Calcium
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D)
Aluminium
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Which metal can catch fire on putting into water?
A)
Calcium
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B)
Magnesium
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C)
Sodium
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D)
Aluminium
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Gold is used for making ornaments because I.It is shining in nature II.It does not react with air, water and acids Choose correct option:
A)
I only
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B)
II only
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C)
Both I and II
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D)
None of these
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PET is popular form of
A)
Polyester
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B)
Nylon
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C)
Acrylic
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D)
Rayon
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The odourless and colourless gas released from vehicles is
A)
Carbon monoxide
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B)
Sulphur dioxide
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C)
Lead oxide
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D)
All of the above
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PVC is an example of
A)
Thermoplastics
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B)
Thermosetting plastics
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C)
Both [a] and [b]
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D)
Neither [a] nor [b]
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Coal is formed from
A)
Dead remains of sea living animals
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B)
Dead remains of vegetation
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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 of the following does not contain methane gas?
A)
CNG
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B)
LPG
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C)
Marshy gas
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D)
Gobar gas
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Rotten fruits in a basket can bring about early ripening of the remaining fruits as they release
A)
Auxin
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B)
Cytokini
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C)
Ethylene
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D)
Gibberellin
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Which of the following features is common to prokaryotes and many eukaryotes?
A)
Presence of chromosome
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B)
Presence of Cell wall
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C)
Presence of nuclear membrane
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D)
Sub-cellular organelles present
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The word 'Endangered species' refers to those organisms:
A)
That are no more present on earth.
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B)
Whose number is very less and face extinction.
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C)
Who are under the danger of being killed and eaten by other wild animals.
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D)
Who pose a danger to other wild animals and should be killed to protect them.
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Identify the plant shown in the picture:
A)
Grass
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B)
Oat
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C)
Croton
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D)
Fern
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When we properly chew the bread, after sometime it starts tasting sweet because
A)
Saliva in the mouth mixes it properly
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B)
Salivary amylase breaks down starch to maltose
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C)
Salivary amylase breaks down starch to Glucose
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D)
Lysozymes in saliva kills the germs, so food tastes sweet
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The crops that are sown in the winter season are called
A)
Winter crops
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B)
Rabi crops
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C)
Monsoon crops
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D)
Cereal crops
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Common cold, influenza and most coughs are caused by
A)
Bacteria
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B)
Viruses
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C)
Fungi
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D)
Algae
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Which of these diseases is supposed to have been eradicated from the world?
A)
Chicken pox
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B)
Cow pox
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C)
Smallpox
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D)
Polio
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The male sex hormone is called
A)
Sperm
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B)
Progesteron
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C)
Oestrogen
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D)
Testosterone
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The unfertilized egg carries-
A)
One X chromosome only
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B)
Two X chromosomes
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C)
One X chromosome and one Y chromo-some
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D)
No sex chromosomes
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Choose the correct sequence of the stages of development in silk worm-
A)
\[Larva\to pupa\to egg\to adult\]
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B)
\[Egg\to larva\to pupa\to adult\]
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C)
\[Egg\to pupa\to larva\to adult\]
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D)
\[Adult\to egg\to pupa\to larva\]
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The artificial method of fertilization in human beings in which eggs are fertilized by sperms outside the body is called-
A)
External fertilization
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B)
Man made fertilization
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C)
In vitro fertilization
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D)
Artificial fertilization
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Father of white revolution
A)
M. S. Swaminathan
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B)
Dr. Varghese Kurien
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C)
C. Rangrajan
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D)
V. Chakraborty
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Thomas Roe came to India during the rule of
A)
Akbar
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B)
Shahjahan
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C)
Jahangir
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D)
Aurangzeb
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'Jaziya' was a tax on
A)
Land
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B)
Trade
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C)
Luxury goods
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D)
Non Muslims
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The principal items of export of India during British rule were
A)
Poppy
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B)
Cotton
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C)
Spices
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D)
All of these
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The Diwani of Bengal, Bihar and Orissa was granted to the English company by
A)
Mir Qasim
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B)
Mir Jafar
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C)
Siraj-ud-daula
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D)
Shah Alam
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The Revolt of 1857 took place during the reign of
A)
Lord Mayo
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B)
Lord Wellesley
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C)
Lord Canning
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D)
Lord Hastings
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The type of war waged by Shivaji was _____.
A)
Armed battle
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B)
Guerilla war
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C)
Naval
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D)
Pitched battle
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Arms Act was passed in 1878 disallowing Indians from
A)
Possessing Arms
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B)
Using Arms
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C)
Purchasing Arms
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D)
Selling Arms
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Movement was strongest in __.
A)
Bihar
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B)
Andhra
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C)
Bengal
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D)
Bombay
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The Nationalist from Punjab who was one of the leading members of the Radical Group is
A)
Bhagat Singh
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B)
Bipin Chandra Pal
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C)
Sukh Dev
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D)
Lala Lajpat Rai
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View Answer play_arrow
In which year Gandhiji arrived in India from South Africa?
A)
1914
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B)
1915
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C)
1916
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D)
1919
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Which of the following honour was granted to Rabindranath Tagore by British crown?
A)
Keser-e-hind
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B)
Rai Bahadur
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C)
Sir
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D)
Knighthood
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First cotton mill was set up at
A)
Ahmedabad
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B)
Kanpur
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C)
Bombay
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D)
Punjab
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View Answer play_arrow
Who promoted the English education?
A)
Thomas Macaulay
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B)
William Jones
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C)
Rabindranath Tagore
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D)
None of these
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View Answer play_arrow
It is an introductory part of the Constitution through not a legal section of the Constitution:
A)
Index
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B)
Article
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C)
Preamble
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D)
Schedule
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The government formed by the alliance of two or more political parties is referred to as
A)
Federal government
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B)
Single party government
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C)
Coalition government
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D)
None of these
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View Answer play_arrow
Directive Principles of State Policy promise
A)
Social and economic reforms
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B)
To institute laws and policy
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C)
To reduce poverty of the masses
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D)
All of the above
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View Answer play_arrow
The Parliament in our system has immense power because
A)
It is the supreme authority
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B)
It is lawmaking body
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C)
It has two Houses
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D)
It has representatives of the people
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When we use the term government we mean the
A)
Parliament
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B)
Executive
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C)
Judiciary
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D)
Legislature
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View Answer play_arrow
In which year the Indian National Congress made the demand for a Constituent Assembly?
A)
1992
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B)
1940
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C)
1934
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D)
1946
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View Answer play_arrow
Coersion means
A)
To force someone to change his religion
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B)
Not to force someone to do something
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C)
To force someone to do something
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D)
None of these
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The Lower House of the Indian Parliament is known as
A)
Rajya Sabha
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B)
Council of States
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C)
Legislative Assembly
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D)
Lok Sabha
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What is the main aim of private companies?
A)
Public welfare
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B)
Earn profit
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C)
Provide goods
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D)
Give handsome wages
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Right against exploitation protects us from
A)
Poverty
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B)
Equality
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C)
Unfair practice
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D)
All of these
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View Answer play_arrow
The purpose of 'branding' a product is to
A)
Sell that product
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B)
Purchase that product
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C)
Differentiate it from other products
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D)
Both [a] and [b]
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View Answer play_arrow
Name the state which has the largest number of reserved seats in the Parliament.
A)
Bihar
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B)
West Bengal
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C)
Punjab
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D)
Tamil Nadu
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Which of the following is needed for the success of democracy?
A)
Linguism
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B)
Education
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C)
Casteism
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D)
Regionalism
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Which one of the following is not a natural resource?
A)
Land
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B)
Water
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C)
Mineral
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D)
Building
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Cultural landscape shows
A)
Dominance of nature
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B)
Human impact on environment
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C)
Impact of ecological factors
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D)
Association of flora and fauna
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Khadar and banger are the types of alluvial soil on the basis of its
A)
Particle size
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B)
Age
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C)
Composition
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D)
All of these
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Area sown more than once in an agricultural year plus net sown area is known as
A)
Net sown area
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B)
Gross sown area
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C)
Gross cultivable area
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D)
Fallow land
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In an ecological system, the primary producers on which all other living beings depend are the
A)
Plants
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B)
Animals
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C)
Micro-organism
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D)
Decomposers
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______ is the leading producer of iron and steel in the world.
A)
U.S.A.
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B)
India
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C)
Pakistan
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D)
U.K.
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The first cement plant was set up in_____.
A)
Mumbai
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B)
Crinani
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C)
Raipur
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D)
Kanpur
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Which country is called the sugar bowl of the world?
A)
Cuba
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B)
India
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C)
Burma
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D)
Norway
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Which one of the following is an example of plantation agriculture?
A)
Tea cultivation
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B)
Coffee cultivation
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C)
Rubber latex production
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D)
Soya bean cultivation
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In which year was the Tata iron and steel company started and where is it located?
A)
1906 at Kamataka
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B)
1907 at Sakchi
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C)
1908 at Mumbai
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D)
1909 at 0rissa
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In which year was the National Population Policy implemented?
A)
1955
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B)
2000
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C)
1975
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D)
2005
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Which of the following states has the highest literacy rate?
A)
Mizoram
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B)
Manipur
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C)
Kerala
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D)
Bihar
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Which of these is not a major steel producing centre in India?
A)
Jamshedpur
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B)
Bokaro
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C)
Vishakhapatnam
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D)
Mumbai
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