AD is the median of a \[\Delta ABC\] and O is the centroid such that AO= 10 cm. The length of OC in cm is
A)
4
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B)
5
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C)
6
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D)
8
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A contractor undertook to do a work in 60 days. He employed 50 workers to carry out the job, but after 40 days he found that only half work had been done. Now, how many more worker should he employ to finish the work in time?
A)
50
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B)
100
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C)
150
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D)
200
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The difference between the SI and discount on a certain sum of money for 6 months at 6% per annum is Rs. 27. Find the sum.
A)
Rs. 30900
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B)
Rs. 20800
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C)
Rs. 30800
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D)
Rs. 30600
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If\[x-\frac{1}{x}=3.\]The value of\[{{x}^{2}}+\frac{1}{{{x}^{2}}}\]
A)
2
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B)
12
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C)
10
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D)
11
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If the slant height of a right pyramid with square base is 4 m and the total slant surface of the pyramid is 12 sq m, then the ratio of total slant surface and area of the base is
A)
12 : 3
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B)
16 : 3
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C)
24 : 5
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D)
32 : 9
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Rita invested 25% more than sunil. Sunil invested 30% less than Abhinav who invested Rs. 6000. What is the respective ratio between the amount that Rita invested and the total amount invested by all of them together?
A)
35 : 104
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B)
13 : 29
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C)
101 : 36
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D)
35 : 103
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\[\frac{\sin 30{}^\circ \cos 45{}^\circ }{\tan 60{}^\circ }\]is equal to
A)
\[\frac{2}{\sqrt{3}}\]
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B)
\[2\sqrt{3}\]
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C)
\[\sqrt{\frac{2}{3}}\]
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D)
\[\frac{\sqrt{6}}{12}\]
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A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is above the cost price by
A)
20%
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B)
39%
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C)
40%
done
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D)
50%
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A sphere and a hemisphere have the same volume. The ratio of their curved surface areas is
A)
\[{{2}^{1/3}}:1\]
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B)
\[{{2}^{-3/2}}:1\]
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C)
\[{{2}^{2/3}}:1\]
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D)
\[{{4}^{-2/3}}:1\]
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\[{{(\cos \theta -\sin \theta )}^{2}}+{{(\cos \theta +\sin \theta )}^{2}}\] is equal to
A)
0
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B)
1
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C)
2
done
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D)
\[4\sin \theta \cos \theta \]
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A 320 m long train moving with a average speed of 120 km/h crosses a platform in 24 s. A man crosses the same platform in 4 min. What is the speed of man in m/s?
A)
2
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B)
1.5
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C)
1.6
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D)
2.6
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If\[\sqrt[3]{32}={{2}^{x}},\]then x is equal to
A)
5
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B)
3
done
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C)
\[\frac{3}{5}\]
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D)
\[\frac{5}{3}\]
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\[\sqrt{\frac{1-\cos A}{1+\cos A}}\]is equal to
A)
\[\text{cosec}\,A-\cot A\]
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B)
0
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C)
\[\sec A-\cot A\]
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D)
1
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Refer the below data table and answer the following question.
Number of employees Annual salary (in lakhs) Bonus as per cent of Annual Salary Manager 3 54 60% Executive 5 8 30% Trainee 5 4 10%
What is the arrange bonus (in Rs.)?
A)
Rs. 855385
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B)
Rs. 1120005
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C)
Rs. 220000
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D)
Rs. 352000
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Refer the below data table and answer the following question.
2011 2012 2013 2014 2015 Company A 5000 1000 2000 4000 1000 Company B 5000 3000 4000 5000 2000 Company C 4000 5000 3000 3000 5000
Note Figures given are in Rs. lakh. For which of the following pairs of years the total exports from the three companies together are equal?
A)
2012 and 2013
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B)
2013 and 2015
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C)
2011 and 2012
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D)
2014 and 2015
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Direction: Select the related words/letters/numbers from the given alternatives. Blunt : Sharp :: Sow: ?
A)
Water
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B)
Crow
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C)
Farm
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D)
Reap
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Direction: Select the related words/letters/numbers from the given alternatives. MOQ : SUW :: IKM : ?
A)
JLN
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B)
OQS
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C)
NOP
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D)
None of these
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Direction: Select the one which is different from the other three responses.
A)
PUT
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B)
END
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C)
OWL
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D)
ARM
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Direction: Select the one which is different from the other three responses.
A)
324
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B)
244
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C)
136
done
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D)
352
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Direction: Choose one correct alternative from the given ones that will complete the series. 11, 10, ?, 100, 1001, 1000, 10001
A)
101
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B)
110
done
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C)
111
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D)
None of these
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Direction: Choose one correct alternative from the given ones that will complete the series. AZ, GT, MN, ?, YB
A)
JH
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B)
SH
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C)
SK
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D)
TS
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In the following question, two statements and two conclusions are given. Select the correct answer from the options given. Statements: All fish are tortoise. No tortoise is a crocodile. Conclusions: I. No crocodile is a fish. II. No fish is a crocodile.
A)
Only Conclusion I follows
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B)
Only Conclusion II follows
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C)
Neither Conclusion I nor II follows
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D)
Both Conclusions I and II follow
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If it is Saturday on January 1,2000, then January 1,2001 would have been
A)
Monday
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B)
Tuesday
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C)
Friday
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D)
Saturday
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Arrange the following words according to English Dictionary. 1. Preach 2. Praise 3. Precinct 4. Precept
A)
2, 1, 4, 3
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B)
2, 1, 3, 4
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C)
1, 2, 3, 4
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D)
4, 3, 2, 1
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In a certain language, DECEMBER is written as ERMBCEDE, which word will be written as ERMBVENO?
A)
AUGUST
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B)
SEPTEMBER
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C)
OCTOBER
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D)
NOVEMBER
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Select the missing number from the given responses.
A)
6
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B)
7
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C)
8
done
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D)
9
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If \[+'\]means\['\div ','-'\]means \['\times ','\times '\]means\['-'\]and\['\div '\]means\[+';\]then \[8+6-2\div 4\times 4=?\]
A)
12
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B)
\[\frac{2}{3}\]
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C)
\[\frac{-52}{9}\]
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D)
None of these
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Which one of the following set of letters when sequentially placed at the gaps in the given letter series shall complete it? \[\_c\_a\text{ }b\_ca\_cc\_bc\_\]
A)
bacbcb
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B)
acbbba
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C)
bccbac
done
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D)
cbabab
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I am facing East. I turn\[100{}^\circ \]in the clockwise direction and then\[145{}^\circ \]in the anti-clockwise direction. Which direction am I facing now?
A)
East
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B)
North-East
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C)
North
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D)
South-West
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Which of the following figures best describes the relationship among Ocean, Ship and Sailor?
A)
done
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B)
done
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C)
done
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D)
done
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Liquid metal is
A)
mercury
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B)
saline
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C)
lead
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D)
zinc
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The gas leaked in Bhopal (Union Carbide) tragedy is
A)
nitrous oxide
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B)
nitrogen oxide
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C)
carbon dioxide
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D)
methyl isocyanides
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What are the basic units from which human spare parts can be created?
A)
Nerve cells
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B)
Stem cells
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C)
Heart cells
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D)
Kidney cells
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Adherent mucoid alkaline Substance covering the inner lining of stomach is to
A)
digest starch
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B)
act against bacteria
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C)
prevent the action of pepsin of mucosa
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D)
prevent viral infection
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What is the term used to denote the critical temperature at which the air becomes saturated with vapour and below which the condensations is likely to begin?
A)
Condensation point
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B)
Evaporation point
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C)
Dew point
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D)
Point of critical temperature
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Gamma rays can cause
A)
gene mutation
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B)
sneezing
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C)
burning
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D)
fever
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Which one of the following is not a function of kidney?
A)
Regulation of blood pH
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B)
Removal of metabolic wastes from the body
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C)
Production of antibodies
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D)
Regulation of osmotic pressures of the blood
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The function of heavy water in a nuclear reactor is to
A)
slow down the speed of neutrons
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B)
increase the speed of neutrons
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C)
cool down the reactor
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D)
stop the nuclear reaction
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Fermentation of milk to curd is due to
A)
mycobacterium
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B)
staphylococcus
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C)
lactobacillus
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D)
yeasts
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Which of the following is a true statement regarding calcination?
A)
The ore is heated strongly in the absence of any blast of air
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B)
The ore is heated with calcium
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C)
The ore is heated with carbon
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D)
The mineral is melted with Limestone
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View Answer play_arrow
Optical tweezers
A)
are used to remove facial Hair with miniaturised laser beams
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B)
use light to manipulate particles as small as a single atom
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C)
are a nano technology based tool for stamp collectors
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D)
don't exist
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The diameter of a bucky ball is about
A)
\[1\overset{\text{o}}{\mathop{\text{A}}}\,\]
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B)
\[100\overset{\text{o}}{\mathop{\text{A}}}\,\]
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C)
1 nm
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D)
10 nm
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Ultrasonic waves are produced by
A)
Peltier's effect
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B)
Piezoelectric effect
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C)
Doppler's effect
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D)
Coulomb's law
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View Answer play_arrow
Average Revenue means
A)
the revenue per unit of commodity sold
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B)
the revenue from all commodities sold
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C)
the profit realised from the marginal unit sold
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D)
the profit realised by sale of all commodities
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Which of the following statements is false?
A)
A body can have zero velocity and still be accelerated
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B)
A body can have a constant velocity and still have a varying speed
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C)
A body can have a constant speed and still have varying velocity
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D)
The direction of the velocity of a body can change when its acceleration is constant
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2nd April is observed as
A)
world day for war orphans
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B)
united nations day for South-South cooperation
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C)
world autism awareness day, recognised by the UN
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D)
international day for Biological Diversity, recognised by the UN
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Amrita Pritam's work 'A Revenue Stamp' is
A)
a book of stories
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B)
a novel
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C)
a biography
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D)
an autobiography
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Computer.... is whatever is typed, submitted or transmitted to a computer system.
A)
input
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B)
output
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C)
data
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D)
circuitry
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View Answer play_arrow
Which is the world's largest stadium?
A)
Strahov
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B)
The Lords
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C)
The Oval
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D)
The Leads
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Free trade policy refers to a policy where there is
A)
absent of tariff
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B)
no restriction on the movements of goods
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C)
existence of anti-dumping policy
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D)
encouragement for balances growth
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Which of the following award is associated with Agriculture?'
A)
Borlaug Award
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B)
Shanti Swaroop Bhatnagar
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C)
Arjun Award
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D)
Vyas Samman
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Cotton for textile was first cultivated in
A)
Egypt
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B)
Mesopotamia
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C)
Central America
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D)
India
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Vaishakha Poornima has a great significance because it was on this day
A)
Buddha was born
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B)
Buddha got enlightened
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C)
Buddha died
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D)
All of the above
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The first Bhakti Movement was organised by
A)
Nanak
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B)
Meera
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C)
Ramdas
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D)
Ramanujacharya
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'Sati'was abolished by
A)
Lord Ripon
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B)
Warren Hastings
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C)
Lord Cornwall is
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D)
William Bentinck
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Halley's comet is seen after
A)
50 yr
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B)
16 yr
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C)
100 yr
done
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D)
76 yr
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The preamble to the Constitution declares India as
A)
a sovereign democratic republic
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B)
a socialist democratic republic
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C)
a sovereign socialist secular democratic republic
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D)
a federal democratic republic
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Who can remove the Judge of High Court?
A)
President on a proposal passed by majority in Parliament
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B)
President
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C)
Chief Minister in consultation with Governor
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D)
President in consultation with Chief Justice of India
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Which one of the following is not a site for In-situ method of conservation of flora?
A)
Biosphere Reserve
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B)
Botanical Garden
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C)
National Park
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D)
Wildlife sanctuary
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Who among the following was not a member of the Cabinet Mission?
A)
Sir Stafford Cripps
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B)
AV Alexander
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C)
Redcliffe
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D)
Pethwick Lawrence
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The chemical name of vitamin\[-{{B}_{3}}\] is
A)
Thiamin
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B)
Ascorbic acid
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C)
Nicotinic acid
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D)
Pentothenic acid
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Universal adult franchise shows that India is a country which is
A)
secular
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B)
socialist
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C)
democratic
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D)
sovereign
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Metamorphic rocks originate from
A)
igneous rocks
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B)
sedimentary rocks
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C)
Both igneous and sedimentary rocks
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D)
None of the above
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The Saka era commencing from AD 78, was founded by
A)
Kanishka
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B)
Asoka
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C)
Chandragupta
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D)
Vikramaditya
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Ganhadra School of Art came into existence in
A)
Hinayana sect
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B)
Mahayana sect
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C)
Vaishnava sect
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D)
Shaiva sect
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Which Sufi's dargah is at Ajmer?
A)
Baba Farid
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B)
Qutb-din Bakhtiyar Kaki
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C)
Moinuddin Chisti
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D)
Khwaja Bahuddin
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Soils of India is deficient in which of the following?
A)
Minerals
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B)
Biotic component
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C)
Texture
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D)
Structure
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The local time at a place is 6 am, when the GMT is 3 am. The longitude of that place is
A)
\[45{}^\circ \]East
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B)
\[45{}^\circ \]West
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C)
\[120{}^\circ \]East
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D)
\[120{}^\circ \]West
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Which is the largest sea in the world?
A)
South China Sea
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B)
Mediterranean sea
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C)
Black Sea
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D)
Baltic Sea
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The river Jhelum has its source from
A)
Mount Kailash
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B)
Rohtang Pass
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C)
Verinag
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D)
Kulu
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Who is competent to dissolve the Rajya Sabha?
A)
The Chairman, Rajya Sabha
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B)
The President
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C)
The Joint-session of Parliament
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D)
None of the above
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Point out which from the following is not a right enumerated in the Constitution of India but has been articulated by the Supreme Court to be a fundamental right
A)
Right to privacy
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B)
Equality before law
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C)
Abolition of untouchability
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D)
Right to form associations or unions
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The Legislative Council in a state in India may be created or abolished by the
A)
President on the recommendation of the Governor
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B)
Parliament
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C)
Parliament after the State Legislative Assembly passes a resolution to that effect.
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D)
Governor on a recommendation by the State Cabinet
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Which of the following writs/orders of the High Court/Supreme Court is sought to get an order of an authority quashed?
A)
Mandamus
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B)
Certiorari
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C)
Quo Warranto
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D)
Habeas Corpus
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When was the Public Service Commission, the original version of the UPSC set up?
A)
1st October, 1926
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B)
list April, 193 7
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C)
15th August, 1947
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D)
26th January, 1950
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