The average of 2,7,6 and is 5 and the verage of 18, l,6,x and y 'is 10. What is the value of \[\sqrt{xy}\]
A)
20
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B)
15
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C)
10
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D)
8
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Given that\[\sqrt{5}=2.2361\], \[\sqrt{3}=1.7321\]then the value of \[\frac{1}{\sqrt{5}-\sqrt{3}}\]is
A)
1.98
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B)
1.984
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C)
1.9841
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D)
2
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The sum of three numbers is 136. If the ratio between the first and second be 2 : 3 and that between second and third is 5 : 3, then the second number is
A)
40
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B)
48
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C)
60
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D)
72
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Find \[\frac{\sqrt{3x+1}+\sqrt{3x-6}}{\sqrt{3x+1}-\sqrt{3x-6}}=7\]
A)
2
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B)
5
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C)
3
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D)
7
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In an examination, 65% students passed in Mathematics and 60% passed in History, 40% passed in both of the subjects. If 90 students failed in History and Mathematics both, then what is the total number of students who appeared in the examination?
A)
600
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B)
650
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C)
700
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D)
750
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A sphere and a cube have the same surface area, the ratio of their respective volumes is
A)
4:3
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B)
\[\sqrt{6}:\sqrt{\pi }\]
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C)
\[\sqrt{3}:\sqrt{\pi }\]
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D)
22:7
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The area of the triangle is always divided into two equal halves by the line called
A)
Altitude
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B)
Right bisector
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C)
Median
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D)
Angle bisector
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In a right angled triangle, right angled at A, AD = 6 cm;-BD = 4 cm, the length DC is
A)
12
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B)
9
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C)
8
done
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D)
10
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The simple interest on a certain sum of money for \[2\frac{1}{2}\]years at 12% per annum is Rs 400 less than the simple interest on the same sum for years at 10% per annum. The sum is
A)
Rs 12,000
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B)
Rs 10,000
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C)
Rs 9,000
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D)
Rs 8,000
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\[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+...+{{9}^{3}}=2025\] ,then the value of \[{{(0.11)}^{3}}+{{(0.22)}^{3}}+{{(0.33)}^{3}}\]\[+...+{{(0.99)}^{3}}\]is close to
A)
0.2695
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B)
0.3695
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C)
2.695
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D)
3.695
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3 years ago, the average age of the family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
A)
1 year
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B)
\[1\frac{1}{2}\]years
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C)
2 years
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D)
3 years.
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Milk contains 5% water. What quantity of pure milk should be added to 10 litres of milk to reduce water in the new mixture to 2%?
A)
5 litres
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B)
7 litres
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C)
15 litres
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D)
18 litres
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If a, b, c are real numbers, then the value of \[\sqrt{{{a}^{-1}}b}\times \sqrt{{{b}^{-1}}c}\times \sqrt{{{c}^{-1}}a}\]
A)
a b c
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B)
4abc
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C)
\[\frac{1}{abc}\]
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D)
1
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By selling an umbrella for Rs 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is
A)
7
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B)
7.5
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C)
8
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D)
9
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The length of the line joining the mid-points of two non-parallel sides of a trapezium is
A)
\[\frac{1}{3}\]of the sum of the lengths of parallel sides
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B)
\[\frac{1}{2}\]of the sum of the lengths of parallel sides
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C)
\[\frac{2}{3}\]of the sum of the lengths of parallel sides
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D)
None of these
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If 15 men, working 9 hours a day, can reap a field in 16 days, in how many days will 18 men reap the field, working 8 hours a day?
A)
15
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B)
12
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C)
10
done
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D)
18
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Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in
A)
6 hrs
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B)
62 hrs
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C)
7 hrs
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D)
\[7\frac{1}{2}\]hrs.
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The ratio between the speeds of two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is
A)
70kmph
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B)
75 kmph
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C)
84kmph
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D)
87.5 kmph
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If \[x=\frac{a}{b+c},y=\frac{b}{c+a},z=\frac{c}{a+b}\]then the value of \[{{(x+1)}^{-1}}+{{(y+1)}^{-1}}+{{(z+1)}^{-1}}\]is
A)
1
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B)
2
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C)
a+b+c
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D)
\[\frac{1}{2}\]
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The number of solid spheres each of diameter 12 cm which can be moulded to from a solid cylinder of height 72 cm and radius 4 cm , is
A)
4
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B)
6
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C)
8
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D)
12
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Which of the following is not a physical quantity?
A)
Kilogram
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B)
Density
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C)
Energy
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D)
Force
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In SI unit heat is expressed in
A)
Calorie
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B)
kilo-calorie
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C)
Joule
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D)
Joule per calorie
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The initial velocity of a particle moving in a straight line is 10 \[m{{s}^{-1}}\]and the retardation is 2\[m{{s}^{-2}}\]. The distance moved by the particle in 5th second of its motion is
A)
1m
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B)
19m
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C)
25 m
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D)
50 m
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A train of 150 m length is going towards north at 10 \[m{{s}^{-1}}\]and a parrot flies towards south at 5 \[m{{s}^{-1}}\]over the train parallel to it the time taken by the parrot to cross the train is
A)
8 s
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B)
10 s
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C)
12 s
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D)
15 s
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Which of the following is a Vector ?
A)
Mass
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B)
Work
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C)
Volume
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D)
Displacement
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The work done by centripetal force is
A)
Unity
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B)
Zero
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C)
Infinity
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D)
Varying between zero and infinity
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When a \[{{U}^{238}}\]nucleus decays after being at rest an \[\alpha \]-particle with speed f is given out, the velocity of recoil is
A)
\[\frac{\upsilon }{4}\]
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B)
\[\frac{-4\upsilon }{234}\]
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C)
\[\frac{-4\upsilon }{238}\]
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D)
\[\frac{4\upsilon }{234}\]
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Which of the following interactions is the weakest?
A)
Gravitational
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B)
Electromagnetic
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C)
Electrostatic
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D)
Nuclear
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Equal masses of sand and water are kept in identical calorimeters. Both are heated by simila burners for same time. Which will be at higher temperature?
A)
Sand
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B)
Water
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C)
Both at the same temperature
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D)
Nothing can be said
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There are two charges \[+1\mu C\]and \[+5\mu C\] The ratio of forces acting in them will be
A)
1:1
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B)
5 : 1
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C)
1 : 5
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D)
1 : 25
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The energy of a moving electron is measured in electron volts (eV). One million electron volt is equal to
A)
\[1.6\times {{10}^{-19}}J\]
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B)
\[1.6\times {{10}^{6}}J\]
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C)
\[1.6\times {{10}^{-13}}J\]
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D)
\[{{10}^{6}}J\]
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Electromotive force (or e.m.f.) is the force which drives the current through the entire circuit. It is used for the source only, such as a cell or a dynamo. It has the units
A)
Joule
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B)
Newton
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C)
Joule per coulomb
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D)
Newton per metre
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Ear cannot distinguish two sounds as different if the difference in their frequencies is more than
A)
1 Hz
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B)
4 Hz
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C)
8 Hz
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D)
10 Hz
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The equivalent resistance between A and B will be
A)
\[\frac{8}{3}\Omega \]
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B)
\[\frac{25}{4}\Omega \]
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C)
\[16\,\Omega \]
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D)
\[\frac{3}{20}\Omega \]
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The conductivity of super conductors is
A)
Very small
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B)
Very large
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C)
Infinite
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D)
Zero
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The sulphur dioxide formed when sulphur is burnt in the presence of oxygen is collected by
A)
Downward displacement of air
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B)
Downward displacement of water
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C)
Upward displacement of air
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D)
Upward displacement of water
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When magnesium ribbon bums in the presence of oxygen, the product formed turns
A)
Moist Blue litmus into red
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B)
Moist Red litmus nto blue
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C)
Both [a] and [b] are true
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D)
No change
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Test tube 'A' contains normal water with iron nails, test tube 'B' contains boiled and distilled water layer of oil over and iron nails, and test tube 'C' contain anhydrous calcium chloride. In which of the following test tubes the iron nails get rusted ?
A)
A
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B)
B
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C)
C
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D)
In all test tubes
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Choose the correct ascending order of reaction of metals with acids:
A)
Al>Ca>Mg>Na
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B)
Na>Ca>Mg>Al
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C)
Al>Mg>Ca>Na
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D)
Mg>Ca>Al>Na
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View Answer play_arrow
The standard unit of calorific value of fuel is
A)
J/kg
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B)
KJ/kg
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C)
J/g
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D)
KJ/g
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The hottest part of a flame is
A)
Yellow zone
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B)
Red zone
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C)
Blue zone
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D)
Black zone
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Burning of LPG is an example of
A)
Slow combustion
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B)
Rapid combustion
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C)
Spontaneous combustion
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D)
Explosion
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When 0.25 kg of fuel is burnt to produce the heat energy 2500000 J, then the calorific value of fuel is
A)
10 KJ/kg
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B)
l00 J/kg
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C)
10 KJ/g
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D)
1000 KJ/g
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The observations made in the copper sulphate solution,when electric current passed through it, are I.Color of solution changes II.Container becomes slightly warm Choose the 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)
Neither (I) nor (II)
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The smell of esters is
A)
Pungent
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B)
Sweet
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C)
Burning
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D)
None of these
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The synthetic fibre which is made without using any raw material from plants or animals is
A)
Nylon
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B)
Rayon
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C)
Polyester
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D)
Acrylic
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Polyethene is an example of
A)
Plastic
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B)
Synthetic fibres
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C)
Natural fibres
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D)
None of these
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On burning of coal in the presence of oxygen it produces
A)
Carbon monoxide
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B)
Carbon dioxiade
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C)
Coal tar
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D)
Coke
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During cytoplasmic division in the plant cells, cell plate formation is brought about by
A)
Lysosomes
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B)
Mitochondria
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C)
Cell membrane
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D)
Vesicles produced by Golgi apparatus
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In a mature nerve cell, which of the following structures will not be found?
A)
Nucleolus
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B)
Chromosomes
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C)
Chromatin material
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D)
Nucleoplasm
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The variety of wild animals found in a region are called
A)
Fauna of that region
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B)
Flora of that region
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C)
Wild animals of that region
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D)
Forests of that region
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The species of plants and animals which are found exclusively in a particular area are called
A)
Exclusive species
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B)
Exotic species?
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C)
Endemic species
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D)
Extinct species
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Paddy cannot be grown in the winter season because
A)
Farmers prefer to grow it in the cold weather only
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B)
It grows only in warm weather conations
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C)
It requires lot of water which is available in the rainy season only
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D)
Paddy grown in winter fetches a high market value
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The soil needs to be turned and loosened to
A)
Bring the nutrient rich soil to the top so that plants can use these nutrients
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B)
Allow the roots to penetrate properly into the soil
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C)
Aerate the soil and prevent water logging
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D)
All of the above
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In the given picture, what function is performed by the structure A?
A)
Spore production
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B)
\[{{N}_{2}}\]fixation
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C)
Phagocytosis
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D)
Act as food vacuole
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Aedes mosquito acts as the carrier of
A)
Plasmodium
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B)
Dengue virus
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C)
Polio virus
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D)
Chicken pox virus
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The functions of testes include
A)
Production of male gametes that is sperms
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B)
Production of male sex hormone
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C)
Both [a] and [b]
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D)
Release of sperms in the body of the female for fertilization
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The onset of menstrual cycle at puberty in women is called
A)
First menstruation
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B)
Menarche
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C)
Menopause
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D)
Puberty onset
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Look at the figure and select the correct option in which fertilisation takes place.
A)
In l
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B)
In 2
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C)
In 3
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D)
In any of these structures
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Which of the following epithelium is seen in the fallopian tube?
A)
Columnar epithelium
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B)
Cuboidal epithelium
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C)
Simple ciliated columnar epithelium
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D)
Simple ciliated cuboidal epithelium
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Which of the following is not an aim of hybridisation?
A)
Formation of new characters
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B)
Selection of new character
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C)
Suppression of weak characters
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D)
Mixing of two varieties
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The Subsidary Alliance was introduced by
A)
Lord Wellesley
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B)
Lord Curzon
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C)
Lord Comwallis
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D)
Warren Hastings
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Haider Ali defeated the British in
A)
1768
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B)
1769
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C)
1770
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D)
1771
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Who was the supporter of English as the medium of instruction in India?
A)
Lord Curzon
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B)
William Jones
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C)
William Bentinck
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D)
LordMacaulay
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Rani Laxmi Bai was assisted by
A)
Nana Sahib
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B)
Tantia Tope
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C)
Amar Singh
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D)
Raja Kunwar Singh
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Who among the following was a radical leader?
A)
Mahatma Gandhi
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B)
Motilal
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C)
Bipin Chandra Pal
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D)
C.R-Das
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What do you understand by Chauth?
A)
Tax levied by Muslims
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B)
Tax levied by Jats
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C)
Tax levied by Sikhs
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D)
Tax levied by Marathas
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Under whose leadership did the Khalsa rise in revolt against the Mughal authority?
A)
Guru Gobind Singh
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B)
Banda Bahadur
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C)
Gum Nanak
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D)
Guru Teg Bahadur
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The English East India Company's first Presidency in India was at
A)
Hooghly
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B)
Surat
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C)
Madras
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D)
Masulipatnam
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Swami Dayanand Saraswati was against
A)
Vedas
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B)
Upanishad
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C)
Brahmans
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D)
Idol worship
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The slogan 'Inquilab Zindabad' was raised by
A)
Subhas Chandra Bose
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B)
Gandhiji
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C)
Bhagat Singh
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D)
Jawahar Lal Nehru
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Indian National Army was formed by
A)
Subhas Chandra Bose
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B)
Lala Lajpat Rai
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C)
Bal Gangadhar Tilak
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D)
Bhagat Singh
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View Answer play_arrow
Which were the European powers who showed interest in India?
A)
Portuguese
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B)
Dutches
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C)
French
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D)
All of the above
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View Answer play_arrow
The Champaran Movement was against
A)
Indigo Planters
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B)
Cotton mill workers
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C)
High revenue demand
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D)
Increasing taxes
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All of us should behave as if we are the members of the same family which means
A)
Republic
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B)
Fraternity
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C)
Secular
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D)
Sovereign
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The constitution declared India as a "Union of States" which is based on the principles of
A)
Feudalism
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B)
Communism
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C)
Casteism
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D)
Federalism
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If people in Kerala are not given permission to open a Telugu medium school, which right is violated?
A)
Right to freedom of religion
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B)
Right to equality
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C)
Right to freedom
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D)
Cultural and educational right
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View Answer play_arrow
Today hardly ____ of MPs in India are women.
A)
20%
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B)
33%
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C)
50%
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D)
10%
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What number of seats are reserved for the scheduled caste candidates in the LokSabha?
A)
41
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B)
79
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C)
52
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D)
38
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The Prime Minister of India is
A)
Elected indirectly by the people
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B)
Nominated by the Chief Justice of Supreme Court
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C)
Nominated by the President
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D)
The leader of the ruling party in Lok Sabha
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The Indian state is neither ruled by a religious group nor does it support any one religion,hence it is a
A)
Secular state
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B)
Sovereign state
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C)
Socialist state
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D)
None of them
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What refers to illegal buying and selling if human beings?
A)
Trade
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B)
Commerce
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C)
Transportation
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D)
Traffiking
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View Answer play_arrow
Where were high courts of India first started?
A)
Madras and Bombay
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B)
Delhi and Madras
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C)
Bombay, Delhi, Clcutta
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D)
Bombay, Madras, Calcutta
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The Fundamental Rights have the sanction of the
A)
Supreme Court
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B)
Constitution
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C)
Government
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D)
Majority opinion
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In India, the President is the
A)
Nominal head
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B)
Real head
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C)
Nominal and real head
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D)
All of the above
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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 are the four golden R's of conservation?
A)
Reproduce, reuse, recreate, refuse
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B)
Reduce, reuse, recycle, refuse
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C)
Reuse, remake, remodel, reclaim
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D)
Remove, redo, recycle, rethink
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Those resources whose quantity is known are
A)
Potential resources
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B)
Actual resources
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C)
Biotic resources
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D)
Abiotic resources
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Which of these areas, according to you, would have the densest population?
A)
A rocky desert
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B)
Dense equatorial forest
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C)
A fertile plain
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D)
A fertile but low-lying area prone to flood
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What are the uses of multipurpose dams?
A)
Flood control
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B)
Providing water for irrigation
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C)
Generation of hydroelectricity
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D)
All of the above
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Indiscriminate hunting of animals has driven many to the verge of
A)
A population explosion
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B)
Extinction
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C)
Poaching
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D)
All the above
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In 1992, the forest at Sariska was declared a
A)
Reserved forest
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B)
Tiger reserve
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C)
National park
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D)
Biosphere reserve
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The energy obtained from radio active elements is known as
A)
Solar energy
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B)
Tidal energy
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C)
Thermal energy
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D)
Nuclear energy
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Minerals that lie near the surface are simply dug out by the process known as
A)
Drilling
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B)
Quarrying
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C)
Shaft mining
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D)
All of the above
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Cultivation of food crops, fodder crops and the rearing of livestock is known as
A)
Mixed farming
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B)
Commercial
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C)
Plantation agriculture
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D)
Dairy farming
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Wheat, barley, peas, gram and mustard are examples of
A)
Kharif crops
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B)
Zaid crops
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C)
Rabi crops
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D)
Plantation crops
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Which country is the second largest producers of rice after China?
A)
Pakistan
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B)
USA
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C)
India
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D)
England
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A large proportion of children in a population is a result of
A)
High birth rate
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B)
High death rate
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C)
High life expectancy
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D)
More married couples
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In which year was the first modem cotton textile mill established in Mumbai?
A)
1851
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B)
1852
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C)
1853
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D)
1854
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