In the adjoining figure, AE is the bisector of exterior\[\angle CAD\]meeting BC produced in E. If AB = 10 cm, AC = 6 cm and BC = 12 cm, then CE is equal to
A)
6 cm
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B)
12 cm
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C)
18 cm
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D)
20 cm
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12 men take 36 days to do a work while 12 women complete\[\frac{3}{4}\]th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work?
A)
6
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B)
12
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C)
27
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D)
Data inadequate
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The difference between simple and compound interest (compounded annually) on a sum of money for 2 yr at 10% per annum is Rs. 65.The sum is
A)
Rs. 6500
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B)
Rs.2320
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C)
Rs. 6000
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D)
Rs. 8320
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ABCD is a trapezium whose side AD is parallel to BC. Diagonals AC and 80 intersect at O. If \[AO=3,\] \[CO=x-3,\] \[BO=3x-19\] and \[DO=x-5,\] the value of x will be
A)
8, 9
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B)
7, 6
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C)
12, 6
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D)
7, 10
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When 20% of a number is added to another number, the number increased by 50%. What is the ratio between the first and the second number?
A)
3 : 2
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B)
2 : 3
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C)
5 : 2
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D)
2 : 5
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The value of \[\cos 105{}^\circ +\sin 105{}^\circ \]is
A)
0
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B)
\[\sqrt{(3/2)}\]
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C)
\[\frac{1}{\sqrt{2}}\]
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D)
\[\left( \sqrt{3+\frac{1}{2}} \right)\]
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A fan is listed at Rs. 1500 with a discount of 20%. What additional discount must be offered to the customer to bring the net price to Rs. 1080
A)
8%
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B)
10%
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C)
\[11\frac{1}{9}%\]
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D)
15%
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A toy is in the form of a right circular cone mounted on a hemisphere. If the radius of hemisphere is 3.5 cm and the total height of the toy is 9.5 cm. The volume of toy is
A)
\[164\,\,c{{m}^{3}}\]
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B)
\[166.83\,\,c{{m}^{3}}\]
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C)
\[169\,\,c{{m}^{3}}\]
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D)
\[172.83\,\,c{{m}^{3}}\]
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The value of sin\[\left( 67\frac{1{}^\circ }{2} \right)\sin \left( 22\frac{1}{2} \right)\]is
A)
\[-2\sqrt{2}\]
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B)
\[2\sqrt{2}\]
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C)
\[\frac{1}{2\sqrt{2}}\]
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D)
\[-\frac{1}{2\sqrt{2}}\]
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A square and an equilateral triangle have the equal perimeters. If the height of equilateral triangle is \[8\sqrt{3}\]cm, then the diagonal of square will be
A)
\[4\sqrt{2}\,\,cm\]
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B)
\[8\sqrt{2}\,\,cm\]
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C)
\[\frac{1}{2\sqrt{2}}\,\,\,cm\]
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D)
None of these
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The speed of a train going from Nagpur to Allahabad is 100 km/h. While its speed is 150 km/h, when coming back from Allahabad to Nagpur. Then, the average speed during the whole journey is
A)
135 km/h
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B)
128 km /h
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C)
125 km/h
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D)
140 km/h
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In three numbers, the first number is double of the second and half of the third. If the average of three numbers is 56, then what is the largest number?
A)
96
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B)
108
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C)
92
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D)
84
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The value of \[\log \tan 1{}^\circ +\log \tan 2{}^\circ +\]\[.....+\log \tan 89{}^\circ \] is
A)
0
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B)
1
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C)
\[\infty \]
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D)
None of these
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Refer the below data table and answer the following question.
Year Profit or Loss (in Rs. cr) 2011 5 2012 \[-\]15 2013 \[-\]15 2014 15 2015 \[-\]10
What was the total profit or loss of the company in last 5 yr?
A)
Loss of Rs. 30 cr
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B)
Loss of Rs. 20cr
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C)
Profit of Rs. 20 cr
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D)
Profit of Rs. 30 cr
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Refer the below data table and answer the following question.
India?s exports in 2015 Value in million US$ Jewellery 750 Software 725 Cotton 700 Steel 700 Electronics 725
Steel was what per cent of total exports?
A)
24.44
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B)
21.94
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C)
19.44
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D)
16.84
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Direction: Select the related words/letters /numbers from the given alternatives. Horse : Mare :: Dog:?
A)
Kennel
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B)
Hen
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C)
Man
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D)
Bitch
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Direction: Select the related words/letters /numbers from the given alternatives. AG : 10 :: EK:?
A)
LR
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B)
M
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C)
PV
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D)
SY
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Direction: Select the one which is different from the other three responses.
A)
Cliff
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B)
Canyon
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C)
Gulch
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D)
Gorge
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Direction: Select the one which is different from the other three responses.
A)
ABD
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B)
FGI
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C)
LMO
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D)
STU
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Direction: Choose the correct alternative from the given ones that will complete the series. 165, 195, 255, 285, 345, ?
A)
365
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B)
390
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C)
420
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D)
435
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Direction: Choose the correct alternative from the given ones that will complete the series. A, D, H, M, ?, Z
A)
T
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B)
G
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C)
N
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D)
S
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Two statements are given followed below by two Conclusions I and II. You have to consider the statements to be true if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Indicate your answer. Statements: All men are girls. Some girls are students. Conclusions: I. All girls are men. II. Some girls are not student,
A)
Only I follows
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B)
Only II follows
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C)
Both I and II follow
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D)
Neither I nor II follows
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If January 1 is a Friday, then what is the first day of the month of March in a leap year?
A)
Tuesday
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B)
Wednesday
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C)
Thursday
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D)
Friday
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If NOIDA is written as 39658, how will INDIA be written?
A)
36568
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B)
63568
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C)
63569
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D)
65368
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Select the missing number from the given responses.
A)
9
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B)
23
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C)
33
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D)
43
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If \['+'\] means \['-','-'\] means \['\times ','\times '\] means \['+','\div '\] means \['\,-'\] then give the value for \[45+9-3\times 15\div 2\]
A)
40
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B)
36
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C)
56
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D)
28
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Going to 50 m to the South of her house, Radhika turns left and goes another 20 m. Then, turning to the North, she goes 30 m and then starts walking to her house. In which direction is she walking now?
A)
North-West
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B)
North
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C)
South-East
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D)
East
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A is the son of B. C, B's sister, has a son D and a daughter E.F is the maternal uncle of D. How is A related to D?
A)
Cousin
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B)
Nephew
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C)
Uncle
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D)
Brother
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Which one of the following diagrams best describes the relationship among paper, stationary and ink?
A)
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B)
done
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C)
done
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D)
done
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Amongst the following words, which word appears second in order in the English dictionary?
A)
Spine
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B)
Spinal
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C)
Spiner
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D)
Spindle
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The instrument that measures and records the relative humidity of air is
A)
hydrometer
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B)
hygrometer
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C)
lactometer
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D)
barometer
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The different colours of different stars are due to the variation of
A)
temperature
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B)
pressure
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C)
density
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D)
radiation from them
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What is found in frequency modulation?
A)
Fixed frequency
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B)
Fixed dimension
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C)
Change in frequency and dimension
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D)
Change in dimension only
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When the speed of car is doubled, then what will be the braking force of the car to stop it in the same distance?
A)
Four times
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B)
Two times
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C)
Half
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D)
One-fourth
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The dimension of which of the following is the same as that of impulse?
A)
Volume
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B)
Momentum
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C)
Torque
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D)
Change in the rate of momentum
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Which one of the following is left when a hydrogen atom loses its electron?
A)
An alpha particle
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B)
A neutron
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C)
A proton
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D)
A beta particle
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The fundamental scientific principle in the operation of battery is
A)
acid-base interaction
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B)
dialysis
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C)
dissociation of electrolytes
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D)
oxidation-reduction
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Which one of the following metals is used to galvanise iron?
A)
Copper
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B)
Lead
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C)
Zinc
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D)
Mercury
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Cement is made hard with
A)
dehydration
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B)
hydration and dissociation of water
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C)
dissociation of water
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D)
polymerization
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When a ring of metal is heated what happens to its hole?
A)
expands
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B)
contracts
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C)
it-expands or contracts according to its diameter
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D)
it expands or contracts according to its coefficient of expansion
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Hay fever is a sign of
A)
malnutrition
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B)
allergy
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C)
old age
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D)
over work
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The branch of agriculture which deals with the feeding, shelter, health and breeding of the domestic animals is called
A)
Dairy Science
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B)
Veterinary Science
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C)
Poultry
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D)
Animal Husbandry
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Edward Jenner is associated with
A)
cholera
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B)
typhoid
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C)
small Pox
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D)
paralysis
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A plant with compound leaves is
A)
papaya
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B)
coconut
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C)
peepal
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D)
hibiscus
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The scientist who explained about blood circulation for the first time was
A)
Antonyvan Leewen Hock
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B)
William Harvey
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C)
Gregor Mendel
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D)
Ronald Ross
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Where was the first cotton mill in India established?
A)
Surat
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B)
Bombay
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C)
Ahmedabad
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D)
Coimbatore
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Who is the author of the book 'We Indians'?
A)
Khushwant Singh
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B)
Mulk Raj Anand
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C)
Nirad C Chaudhary
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D)
Subramanya Swamy
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Which of the following vaccine is used against tuberculosis?
A)
BCG
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B)
DPT
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C)
Polio
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D)
TAB
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An example of noble metal is
A)
Gold
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B)
Silver
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C)
Platinum
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D)
All of these
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Amongst the given rays, which one is not deflected by electric and magnetic field
A)
\[\alpha -rays\]
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B)
X-rays
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C)
\[\beta -rays\]
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D)
Cathode rays
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The first computer was programmed using
A)
assembly language
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B)
machine language
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C)
spaghetti code
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D)
source code
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When did Ganga action plan came into action?
A)
1986
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B)
1985
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C)
1987
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D)
1980
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The Phillip's curve is the schedule showing the relationship between
A)
aggregate supply and demand
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B)
total saving and Investment
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C)
the rate of unemployment and rate of inflation
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D)
demand for and supply of loanable funds
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What is geomorphology?
A)
A systematic study of land farming
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B)
A systematic study of land features
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C)
A systematic study of landforms and their origin
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D)
All of the above
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Titan is the satellite of
A)
Earth
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B)
Neptune
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C)
Mars
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D)
Saturn
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The third Battle of Panipat was fought between
A)
Hemu and Akbar
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B)
Humayun and Shershah
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C)
Maratha and Ahmed Shah Abdali
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D)
Nadir Shah and Mughals
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The Mohemmadan Anglo-Oriental College of Aligarh was founded by
A)
Md Ali Jinnah
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B)
Mohammad Ali
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C)
Shaukat Ali
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D)
Sir Syed Ahmed Khan
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Who is known as the Second Law Officer of India?
A)
Chief Justice of India
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B)
Law Minister of India
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C)
Attorney General of India
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D)
Solicitor General of India
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The Quorum of Rajya Sabha is
A)
1/5th of the total membership
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B)
1/6th of the total membership
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C)
1/8th of the total membership
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D)
1/10th of the total membership
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Who was the first 'Bharat Ratna Posthmously' recipient?
A)
BR Ambedkar
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B)
K Kamraj
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C)
Lal Bahadur Shashtri
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D)
MG Ram Chandran
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The 2018 World Cancer Day (WCD) is observed on which date?
A)
February 4
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B)
February 6
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C)
March 4
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D)
April 10
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Which is the Upper Chamber of State Legislature in India?
A)
Legislative Council
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B)
Legislative Assembly
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C)
Governor's Office
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D)
None of the above
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Ozone layer in the outer atmosphere helps is in
A)
reflecting radio waves and makes radio communication possible
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B)
regulating the temperature of atmosphere
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C)
absorbing cosmic ray particles
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D)
absorbing UV radiations
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The words 'Satyameva Jayate' in the State Emblem of India were taken from
A)
Upanishads
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B)
Sama Veda
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C)
Rig Veda
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D)
Ramayana
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Which of the following Craftsmanship was not practiced by the Aryans?
A)
Pottery
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B)
Jewellery
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C)
Carpentry
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D)
Blacksmith
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Mohammad-bin-Qasim conquered Sind in the year
A)
712 AD
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B)
812 AD
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C)
912 AD
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D)
1012 AD
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Shah Jahan built the Moti Masjid at
A)
Delhi
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B)
Jaipur
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C)
Agra
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D)
Amarkot
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When Mahatma Gandhi was arrested who among the following took over the leadership of Salt Satyagraha?
A)
Vinoba Bhave
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B)
Sardar Vallabh Bhai Patel
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C)
Abbas Taiybjee
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D)
Maulana Abdul Kalam Azad
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Who was the leader of the Bardoli Satyagraha?
A)
Dr. Rajendra Prasad
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B)
Pandit Jawaharlal Nehru
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C)
Sardar Vallabh Bhai Patel
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D)
AcharyaJB Kripalani
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Which among the following statements is true regarding International Date Line?
A)
It is \[180{}^\circ \]Longitude
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B)
It is a straight line
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C)
It is a big circle
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D)
It is a curved line beyond Earth
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Which of the following is the headquarters of the newly established railway zone East Coast Railways?
A)
Vishakhapattnam
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B)
Bhubaneswar
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C)
Kolkata
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D)
Hyderabad
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Who among the following is known for having designed the first railway time tables?
A)
George Bradhaw
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B)
George Bradman
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C)
George Brummel
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D)
Gernarld Boldt
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In India 'Siberian Crane' can be found in
A)
Sasangir Bird Sanctuary
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B)
Rathambhore Bird Sanctuary
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C)
Dachigham Park
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D)
Keoladeva Ghana Bird Sanctuary
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Plural Theory of Sovereignty emphasizes the importance of
A)
State
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B)
Religion
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C)
Individuals
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D)
Associations
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Article 243 to 243(O4) of the Constitution of India inserted by a Constitutional Amendment deals with which of the following?
A)
Extending the benefits of Reservation on the basis of Mandal Commission Recommendations
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B)
Land Reforms
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C)
To include Konkani, Manipuri and Nepali in the list of official languages
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D)
Panchayati Raj System
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