The value of \[\left( \sqrt{\frac{225}{729}-\sqrt{\frac{25}{144}}} \right)\div \sqrt{\frac{16}{81}}\]is
A)
\[\frac{1}{48}\]
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B)
\[\frac{5}{48}\]
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C)
\[\frac{5}{16}\]
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D)
\[\frac{3}{16}\]
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View Answer play_arrow
The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita is more that Ankita's age by 4 years, the age of Nikita is
A)
12 years
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B)
15 years
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C)
10 years
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D)
20 years
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The population of a town 2 years ago was 62,500. Due to migration to big cities, it decreases every year at the rate of 4%. The present population of the town is
A)
56,700
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B)
57,600
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C)
58,800
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D)
60,000
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If D is any point on the side BC of \[\Delta ABC\] such that \[\Delta ADB\]and \[\Delta ADC\]are equal in area, then AD is
A)
Median
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B)
Altitude
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C)
Angle bisector
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D)
None of these
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Find the volume of the largest sphere that is carved out of a cube of side 7 cm. (you may give the answer approx. in\[c{{m}^{3}}\]).
A)
180
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B)
175
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C)
185
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D)
None of these
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View Answer play_arrow
\[{{n}^{3}}+{{(n+1)}^{3}}+{{(n+2)}^{3}}\]is always divisible by
A)
6
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B)
9
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C)
12
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D)
4
done
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In the figure AD 1 BC and DE || BA, EF || AD. If CF = 1.5 cm, FD = 2 cm and CE = 3 cm. Find AC.
A)
9cm
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B)
8cm
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C)
7cm
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D)
6.5cm
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View Answer play_arrow
The continued product of \[(a+b)({{a}^{3}}+{{b}^{3}})\]\[({{a}^{2}}-ab+{{b}^{2}})\] is
A)
\[{{a}^{6}}+{{b}^{6}}\]
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B)
\[{{a}^{6}}-{{b}^{6}}\]
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C)
\[{{a}^{5}}-{{b}^{5}}\]
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D)
\[{{a}^{7}}-{{b}^{7}}\]
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View Answer play_arrow
A shopkeeper sells an article at a loss of \[12\frac{1}{2}%\]. If he had sold it for Rs 51.80 more, he would have earned a profit of 6%. The cost price of the article is
A)
Rs.280
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B)
Rs. 300
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C)
Rs.380
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D)
Rs.400
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View Answer play_arrow
An aeroplane flies along the four sides of a square at the speeds of 200 kmph; 400 kmph; 600 kmph and 800 kmph. The average speed of the plane around the field is
A)
500 kmph
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B)
480 kmph
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C)
384 kmph
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D)
395 kmph
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View Answer play_arrow
A lends Rs. 2500 to B and a certain sum to C at the same time at 7 % p.a simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is
A)
Rs. 700
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B)
Rs. 1500
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C)
Rs.4000
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D)
Rs.6500
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View Answer play_arrow
Three persons are walking from a place A to another place B. Their speeds are in the ratio of4:3:5. The time ratio to reach B by these persons will be
A)
4 ; 3 : 5
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B)
5 : 3 : 4
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C)
15:9:20
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D)
15:20:12
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View Answer play_arrow
If \[{{\left( \frac{9}{4} \right)}^{x}}.{{\left( \frac{8}{27} \right)}^{x-1}}=\frac{2}{3}\]then the value of x is
A)
1
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B)
2
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C)
3
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D)
4
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Find the value of\[({{x}^{\text{o}}}-{{y}^{\text{o}}})\]from the adjoining figure.
A)
15°
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B)
30°
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C)
20°
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D)
25°
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View Answer play_arrow
Find the value of \[{{a}^{3}}+\frac{1}{{{a}^{3}}}\]if \[2a+\frac{2}{a}=5\]
A)
\[\frac{65}{8}\]
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B)
8
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C)
\[7\frac{5}{8}\]
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D)
\[9\frac{3}{4}\]
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View Answer play_arrow
Two numbers are such that each is greater than 29 and have HCF 29 and LCM 4147. The sum of the numbers is
A)
666
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B)
669
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C)
696
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D)
966
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View Answer play_arrow
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
A)
20m
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B)
22m
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C)
24m
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D)
26m
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View Answer play_arrow
12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?
A)
2
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B)
3
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C)
4
done
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D)
5
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Which of the following will come in place of both the question marks in the following equation? \[\frac{\left( 128\div 16 \right)\times ?-7\times 2}{{{7}^{2}}-8\times 6+{{?}^{2}}}=1\]
A)
3
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B)
14
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C)
16
done
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D)
17
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View Answer play_arrow
The sum of two numbers is 184. If one -third of the one exceeds one-seventh of the other by 8, the smaller number is
A)
72
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B)
69
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C)
62
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D)
80
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View Answer play_arrow
An aeroplane moves 400 m towards north, 300 m towards west and then 12m vertically upwards. Then its displacement from the initial position is
A)
1300m
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B)
1400 m
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C)
1500m
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D)
1600 m
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View Answer play_arrow
Which of the following decreases in motion along a straight line with constant retardation?
A)
Speed
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B)
Displacement
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C)
Acceleration
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D)
None of the above
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View Answer play_arrow
Which of the following distance versus time graphs is not possible?
A)
done
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B)
done
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C)
done
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D)
done
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View Answer play_arrow
A boy walks to his school at a distance of 6 km with constant speed of 2.5 km/h and walks back with a constant speed of 4 km/h. His average speed for round trip expressed in km/h, is given as
A)
\[\frac{24}{13}\]
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B)
\[\frac{40}{13}\]
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C)
3
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D)
\[\frac{1}{2}\]
done
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View Answer play_arrow
A car accelerates on a horizontal road due to force exerted by the
A)
Road on the car
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B)
Car on the earth
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C)
Driver of the car
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D)
Engine of the car
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View Answer play_arrow
A streiching force of 10 N is applied at one end of a spring balance and an equal stretching force is applied at the other end at the same time .The reading on the balance will be
A)
10 N
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B)
Zero
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C)
20N
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D)
5N
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View Answer play_arrow
A body at rest may have
A)
Energy
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B)
Speed
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C)
Velocity
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D)
Momentum
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View Answer play_arrow
If a body of mass 10 kg is taken to the center of the earth, its weight will be
A)
Zero
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B)
Infinity
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C)
98 N
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D)
980 N
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View Answer play_arrow
As a person moves from pole to equator, the value of his weight will
A)
Increase
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B)
Decrease
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C)
Remain same
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D)
First increase then decrease
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View Answer play_arrow
If you float on your back on water, your apparent weight is
A)
Zero
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B)
Equal to your normal weight
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C)
Greater than the weight of water you displace
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D)
Half your normal weight
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View Answer play_arrow
An iron ball is heated. The percentage increase will be largest in
A)
diameter
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B)
volume
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C)
surface
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D)
density
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View Answer play_arrow
A body has a negative charge of 1 coulomb. It means that
A)
it has lost one electron
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B)
it has gained one electron
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C)
it has lost 6. 25 x 1018 electrons
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D)
it has gained 6.25 x 1018 additional electrons
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View Answer play_arrow
Power of a lens is expressed in
A)
Joule
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B)
Watt
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C)
Dioptre
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D)
Light year
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View Answer play_arrow
The rate of flow of electric charge is defined as
A)
Voltage
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B)
Current
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C)
Power
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D)
Energy
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What will be the resistance between P and Q in the following circuit?
A)
\[\frac{2}{3}\Omega \]
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B)
\[\frac{1}{3}\Omega \]
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C)
\[2\Omega \]
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D)
\[5\Omega \]
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View Answer play_arrow
The acid not producing IL gas with metals(except Mn and Mg) is
A)
\[{{H}_{2}}S{{O}_{4}}\]
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B)
\[HN{{O}_{3}}\]
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C)
\[HCl\]
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D)
none of these
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View Answer play_arrow
Which of the following metals exist in their native state in nature? I. Cu II. Au III. Zn IV. Ag Choose the correct option:
A)
I and II
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B)
II ahd IV
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C)
II and IV
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D)
III and IV
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View Answer play_arrow
Silver articles become black on prolonged exposure to air. This is due to the formation of
A)
\[A{{g}_{3}}N\]
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B)
\[A{{g}_{2}}O\]
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C)
\[A{{g}_{2}}S\]
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D)
\[A{{g}_{2}}S\,and\,A{{g}_{3}}N\]
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View Answer play_arrow
The essential requirements of producing fire are
A)
Fuel and air
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B)
Fuel and heat
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C)
Air and heat
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D)
Fuel, air and heat
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View Answer play_arrow
Which of the following can be used in fire extinguisher to release \[C{{O}_{2}}\]?
A)
Potassium bicarbonate
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B)
Sodium bicarbonate
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C)
Both [a] and [b]
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D)
Neither [a] nor [b]
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View Answer play_arrow
The process of depositing layer of Zinc on iron to protect it from corrosion is called
A)
Electroplating
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B)
Galvanisation
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C)
Amalgamation
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D)
None of the above
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View Answer play_arrow
Which among the following statements is incorrect for magnesium metal?
A)
It bums in oxygen with a dazzling white flame
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B)
It reacts with coki water to form magnesium oxide and evolves hydrogen gas
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C)
It reacts with hot water to form magnesium hydroxide evolves hydrogen gas
done
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D)
It reacts with steam to form magnesium hydroxide and evolves hydrogen gas
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View Answer play_arrow
Which of the following metals form amphoteric oxide?
A)
Na
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B)
MgO
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C)
Al
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D)
Ca
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View Answer play_arrow
Which of the following can undergo a chemical reaction?
A)
\[MgS{{O}_{4}}+Fe\]
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B)
\[ZnS{{O}_{4}}+Fe\]
done
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C)
\[MgS{{O}_{4}}+Pb\]
done
clear
D)
\[CuS{{O}_{4}}+Fe\]
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View Answer play_arrow
A non-mctal exists in two different forms X and Y in which X is good conductor of electricity and Y is hardest known substance. So,the non-metal is
A)
Sulphur
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B)
Carbon
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C)
Phosphorous
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D)
None of these
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View Answer play_arrow
The compound used to join railway tracks with Al; by heating is
A)
\[F{{e}_{2}}{{O}_{3}}\]
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B)
\[MgO\]
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C)
\[CaO\]
done
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D)
\[CuO\]
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View Answer play_arrow
Electrical wires have a coating of an insulating material. The material, generally used, is
A)
Sulphur
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B)
Graphite
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C)
PVC
done
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D)
All can be used
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View Answer play_arrow
Electroplating is done on metals to
I make the surface shiny II increase its life
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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View Answer play_arrow
Chloroplast and mitochondria are semi autonomous organelles, yet different in
A)
Presence of outer double membrane
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B)
Presence of DNA and ribosomes
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C)
Presence of Cristae
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D)
Presence of jelly like fluid
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View Answer play_arrow
Prokaryotic cells are present in
A)
Bacteria
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B)
Amocbi
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C)
Blue green algae
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D)
Both [a] and [c]
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View Answer play_arrow
The source book that keeps a record of all the endangered animals and plants is
A)
Encyclopedia
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B)
Herbarium
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C)
Red Data Book
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D)
Flora and fauna record
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View Answer play_arrow
The newspaper contains the following toxie material:
A)
Mercury
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B)
Lead
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C)
Cyanide
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D)
Acetaldehyde
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View Answer play_arrow
Alveoli are thin membranous structures, yet they do not collapse even after forceful expiration of
A)
Tidal volume of lungs
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B)
Residual volume of lungs
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C)
Expriatory reserve volume of lungs
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D)
Inspiratory capacity
done
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View Answer play_arrow
Ploughing or tilling is the practice of turning the soil. It is done by
A)
Cultivator and Harrow
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B)
Hoe
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C)
Plough
done
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D)
All of the above
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View Answer play_arrow
Polio and chicken pox are the diseases caused by
A)
Fungi
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B)
Bacten
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C)
Viruses
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D)
Mycoplasmas
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View Answer play_arrow
Penicillium and Aspergillus are examples of
A)
Algae
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B)
Bacteria
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C)
Fungi
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D)
Protozoa
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View Answer play_arrow
The female sex hormone is called-
A)
Ova
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B)
Oestrogen
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C)
Female sex regulator
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D)
Sex hormone
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View Answer play_arrow
The human sperm carries
A)
One X chromosome only
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B)
One X chromosome and one Y chromosome
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C)
One X chromosome or one Y chromo-some
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D)
Y chromosome only
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View Answer play_arrow
The Type of reproduction that involves the fusion of male and female gametes is termed
A)
Asexual reproduction
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B)
Vegetative propagation
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C)
Sexual reproduction
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D)
Hybridization
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View Answer play_arrow
The animals that give birth to young ones are called
A)
Oviparous
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B)
Viviparous
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C)
Ovoviviparous
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D)
Both [a] and [c]
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View Answer play_arrow
Cambium is an example of
A)
Primary meristem
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B)
Intercalary meristem
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C)
Lateral meristem
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D)
Apical meristem
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View Answer play_arrow
"English Education has enslaved us." Who said these words?
A)
Rabindranath Tagore
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B)
Mahatma Gandhi
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C)
Lala Lajpat Rai
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D)
Bhagat Singh
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View Answer play_arrow
Bahadur Shah Zafar died in 1862 in ___.
A)
Ran goon Jail
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B)
Delhi
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C)
Awadh
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D)
None of these
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View Answer play_arrow
The Capital of India, from Calcutta to Delhi,was shifted in the year___.
A)
1857
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B)
1900
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C)
1911
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D)
1947
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View Answer play_arrow
The European Companies were interested in buying which of the following things from India?
A)
Cloves
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B)
Silk
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C)
Pepper
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D)
All of these
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View Answer play_arrow
The third Battle of Panipat was fought between the Marathas and___.
A)
Mughals
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B)
Afgans
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C)
Ahmed Shah Abdali
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D)
Nadir Shah
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View Answer play_arrow
Immediate cause of the Revolt of 1857 was
A)
Low wages to soldiers
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B)
Economic Exploitation
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C)
Use of greased cartridges
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D)
All of these
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View Answer play_arrow
who is called the 'Father of Modem India'?
A)
Mahatma Gandhi
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B)
Ram Mohan Roy
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C)
B.R.Ambedkar
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D)
Jawahar Lal Nehru
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View Answer play_arrow
The first newspaper which was published in India in 1780 was
A)
Amrit Bazar Patrika
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B)
The Calcutta Chronicle
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C)
Bengal Gazette
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D)
Calcutta Gazette.
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View Answer play_arrow
The court language of the Mughals was
A)
Urdu
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B)
Arabic
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C)
Persian
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D)
Turkish
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View Answer play_arrow
The Indian National Congress was formed when the Viceroy of India was
A)
Lord Mayo
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B)
Lord Lytton
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C)
Lord Curzon
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D)
Lord Dufferin
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View Answer play_arrow
The movement that was called off due to the Chauri-Chaura incident was
A)
Civil Disobedience movement
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B)
Quit India movement
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C)
Home rule movement
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D)
Non-cooperation movement
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View Answer play_arrow
Learning in a natural environment was initiated by
A)
Rabindranath Tagore
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B)
Mahatma Gandhi
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C)
Thomas Macaulay
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D)
None of these
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View Answer play_arrow
Samuel Bourne was a
A)
Painter
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B)
Photographer
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C)
Historian
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D)
Author
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View Answer play_arrow
The only state of India which has its own Constitution is
A)
Sikkim
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B)
Goa
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C)
Himachal Pradesh
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D)
Jammu & Kashmir
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View Answer play_arrow
The Concurrent List contains the subject of
A)
State and local importance
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B)
National importance
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C)
Village importance
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D)
Common interest of both union as well as state
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View Answer play_arrow
Parliament is the final law-making body in our country. It can
A)
Make new laws
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B)
Change the existing laws
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C)
Abolish the existing laws
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D)
All of the above
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View Answer play_arrow
Which of the following language has not been recognised by the Constitution of India?
A)
Bengali
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B)
Tamil
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C)
Rajasthani
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D)
Urdu
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View Answer play_arrow
The judges of the Supreme Court of India are appointed by the
A)
President
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B)
Prime Minister
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C)
Vice-President
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D)
Governor
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View Answer play_arrow
How does one become an MLA?
A)
People elect him
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B)
Government selects him
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clear
C)
He has to pass an exam
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D)
None of these
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View Answer play_arrow
On what basis did we reorganised the state boundaries in the year 1956?
A)
Language
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B)
Religion
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C)
Caste
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D)
None of these
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View Answer play_arrow
The Supreme Court was established on
A)
26th January 1949
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B)
26th January 1950
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C)
26th January 1952
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D)
26th January 1930
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View Answer play_arrow
Why do we need safeguards for minorities?
A)
To protect them from majority
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B)
To protect India's cultural diversity
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C)
To promote equality and justice
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D)
All of these
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View Answer play_arrow
What is FIR?
A)
False information report
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B)
First information report
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C)
First information record
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D)
None of these
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View Answer play_arrow
Amar Jiban was written by
A)
Ramabai
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B)
Rokeya Sakhawat Hossain
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C)
Sarojini Naidu
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D)
Rashsundari Devi
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View Answer play_arrow
Citizens of a country enjoy the
A)
Political and the civil rights
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B)
Socio-economic and cultural rights
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C)
Both of the above
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D)
None of the above
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View Answer play_arrow
What do youmean by Franchise?
A)
Right to Freedom
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B)
Right to Vote
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C)
Right to Property
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D)
Right to Trade
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View Answer play_arrow
The best suited soil for cotton cultivation is
A)
Laterite soil
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B)
Regur soil
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C)
Sandy soil
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D)
Loamy soil
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View Answer play_arrow
Petroleum deposits are found chiefly in
A)
Granite
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B)
Basalt
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C)
Metamorphic rocks
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D)
Sedimentary rocks
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Which of the following types of coal contains over 90% carbon?
A)
Anthracite
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B)
Bituminous
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C)
Lignite
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D)
Peat
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Which of the following is not a measure of human development?
A)
Literacy
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B)
Life expectancy
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C)
Per capita income
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D)
Consumer expenditure
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Which one of the following is not an example of primary activities?
A)
Forestry
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B)
Grazing
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C)
Financial services
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D)
Plantation Farming
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Match List I with List II and select the correct answer from the codes given as follows:
List I (State)
List II (Atomic Power Station)
A. Gujarat
1. Rawatbhata
B. Maharashtra
2. Narora
C. Madhya Pradesh
3. Kakrapara
D. Orissa
4. Tarapur
Choose the correct option:
A)
A - 1 B - 2 C - 3 D - 4
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B)
A - 4 B - 3 C - 2 D - 1
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C)
A - 3 B - 4 C - 2 D - 1
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D)
A - 3 B - 1 C - 4 D - 2
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Which one of the following steel plants is located in Chhattisgarh?
A)
Bokaro
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B)
Durgapur
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C)
Rourkela
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D)
Bhilai
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In which of the following states the net sownarea is less then 10% of the total area of the land?
A)
Arunachal Pradesh
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B)
Uttar Pradesh
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C)
Madhya Pradesh
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D)
Orissa
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Which of these statements is not a valid reason for depletion of flora and fauna?
A)
Agricultural expansion
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B)
Large scale development projects
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C)
Grazing and fuel (wood) collection
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D)
Rapid urbanization
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The state having the largest area under permanent forests is
A)
Uttarakhand
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B)
Jammu and Kashmir
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C)
Madhya Pradesh
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D)
Punjab
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Precipitation, surface run off and ground water are the sources of
A)
Saline water
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B)
Freshwater
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C)
Impure water
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D)
Pure water
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Economic development of a region depends on
A)
Needs and aspiration of the people
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B)
Technological development
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C)
Availability of resources
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D)
All of the above
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