A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, the remainder is
A)
0
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B)
1
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C)
3
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D)
2
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If\[(x+y):(x-y)=7:3,\]then\[({{x}^{2}}+{{y}^{2}}):({{x}^{2}}-{{y}^{2}})\]is equal to
A)
16 : 29
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B)
49 : 9
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C)
29 : 21
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D)
25 : 4
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A dealer marks his goods 25% above the cost price and allows 10% discount to his customers. What is his gain per cent?
A)
8.5%
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B)
12.5%
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C)
15%
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D)
17.5%
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The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
A)
25% increase
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B)
50% decrease
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C)
50% increase
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D)
25% decrease
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A cone of height 9 cm and diameter of the base 18 cm is carved from a wooden solid sphere of radius 9cm. The percentage of wood wasted is
A)
55%
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B)
65%
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C)
75%
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D)
60%
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A boat goes 8 km in 1 h along the stream and 2 km in 1 h against the stream. The speed of the stream (in km/h) is
A)
2
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B)
3
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C)
4
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D)
6
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If \[\frac{2x+1}{5x}=\frac{6x-2}{9x+2}\] the value of x will be
A)
2
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B)
\[-\,\,\frac{1}{12}\]
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C)
Both [a] and [b]
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D)
None of the above
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If\[x=\frac{\sin \theta \cdot \cos \,\,(90{}^\circ -\theta )+\cos \theta \cdot \sin \,\,(90{}^\circ -\theta )}{\tan \theta \cdot \,(90{}^\circ -\theta )\cdot \sin \,\,(90{}^\circ -\theta )}\] what will be the value of x ?
A)
1
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B)
\[-1\]
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C)
2
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D)
\[-\,2\]
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What number has to be added to the terms of 3 : 5 to make the ratio 5 : 6?
A)
13
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B)
7
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C)
12
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D)
6
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Find the value of \[\left\{ 8-2\times \frac{8-2}{8+2}\times 5 \right\}\]
A)
3
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B)
2
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C)
6
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D)
4
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A sum of money becomes Rs. 20925 in 2 yr and Rs. 24412.50 in 5 yr. Find the rate of interest and the sum of money.
A)
8% Rs. 17560
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B)
6.25%, Rs. 18600
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C)
7%, Rs. 18000
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D)
6.75%, Rs. 17775
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Find the fraction which become \[\frac{1}{2}\] when denominator is increased by 4; the same fraction becomes \[\frac{1}{8}\] when the numerator is reduced by 5.
A)
\[\frac{3}{5}\]
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B)
\[\frac{5}{8}\]
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C)
\[\frac{6}{8}\]
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D)
\[\frac{8}{12}\]
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ABC is a right angled triangle, right angled at C If\[\angle A=60{}^\circ \]and AB = 40 units, then the length of AC is
A)
30
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B)
20
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C)
40
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D)
None of the above
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Given that \[16\cot \theta =12,\] then \[\frac{\sin \theta +\cos \theta }{\sin \theta -\cos \theta }\] is equal to
A)
7
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B)
\[-7\]
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C)
\[\frac{1}{7}\]
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D)
\[\frac{2}{7}\]
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The weight of 15 students of a class is as following table
Weight (in kg) No. of Student 31 2 34 3 35 4 36 5 37 1
The median of weight of student is
A)
34.5 kg
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B)
35 kg
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C)
35.5 kg
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D)
None of these
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Direction: Study the following information?s carefully and answer the questions given below it. There are six persons A, B, C, D, E and F. C is the sister of F. B is the brother of E's husband. D is the father of A and grandfather of F. There are two fathers, three brothers and a mother in the group. Who is the mother?
A)
A
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B)
B
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C)
D
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D)
E
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Direction: Study the following information?s carefully and answer the questions given below it. There are six persons A, B, C, D, E and F. C is the sister of F. B is the brother of E's husband. D is the father of A and grandfather of F. There are two fathers, three brothers and a mother in the group. Who is E's husband?
A)
B
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B)
C
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C)
A Sol. (Q. Nos. 16 ? 18)
A is E's husband.
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D)
F
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Direction: Study the following information?s carefully and answer the questions given below it. There are six persons A, B, C, D, E and F. C is the sister of F. B is the brother of E's husband. D is the father of A and grandfather of F. There are two fathers, three brothers and a mother in the group. How many male members are there in the group?
A)
One
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B)
Two
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C)
Three
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D)
Four
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The cricket ball is heavier than the hockey ball and volleyball is lighter than the football. Hockey ball is heavier than the football and tennis ball. Which of the following is the heaviest ball?
A)
Hockey ball
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B)
Cricket ball
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C)
Volleyball
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D)
Football
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\[P\times Q\]means P is the sister of Q;\[P+Q\] means P is the father of Q; \[P-Q\]means P is the mother of Q. Which of the following means S is the aunt of T?
A)
\[\text{T}\,\,\text{ }\!\!\times\!\!\text{ }\,\,\text{M}\,\,\text{+}\,\,\text{S}\]
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B)
\[\text{S}\,\,\text{+}\,\,\text{T}\,\,\text{ }\!\!\times\!\!\text{ }\,\,\text{M}\]
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C)
\[\text{S}\,\,\text{ }\!\!\times\!\!\text{ }\,\,\text{M}\,\,\text{+}\,\text{T}\]
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D)
\[\text{S}\,\,\text{ }\!\!\times\!\!\text{ }\,\,\text{M}\,\,\text{+}\,\,\text{R}\,\,-\text{T}\]
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A)
16
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B)
21
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C)
61
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D)
81
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Direction: An interrogative sentence is followed by two arguments-one beginning with 'Yes' and the other with 'No'. You are to pick one of the following answer choices which is applicable to each of the following questions. Should income tax be abolished in India? I. Yes, because it is an unnecessary burden. II. No, because it is a good source of revenue.
A)
if only argument I is forceful.
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B)
if only argument II is forceful.
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C)
if both argument I and II are forceful.
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D)
if neither I nor II is forceful
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Direction: An interrogative sentence is followed by two arguments-one beginning with 'Yes' and the other with 'No'. You are to pick one of the following answer choices which is applicable to each of the following questions. Should some changes in the organisation of the UN be brought about? I. Yes, because the USA influences all its decisions. II. No, because majority of the nations won't agree to changes.
A)
if only argument I is forceful.
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B)
if only argument II is forceful.
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C)
if both argument I and II are forceful.
done
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D)
if neither I nor II is forceful
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If in a certain language, 'oka peru' means 'fine cloth', 'meta lisa' means 'clear water 'and 'dona lisa peru' means 'fine clear weather', then which word in that language means 'weather'?
A)
peru
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B)
oka
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C)
meta
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D)
dona
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In a certain code,'37? 'means' which class' and '583' means 'caste and class'. What is the code for 'caste'?
A)
3
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B)
7
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C)
8
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D)
Either 5 or 8
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Find the odd one out. May, July, August, September
A)
May
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B)
July
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C)
August
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D)
September
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The next number in series 9, 16, 25, 36, 49, 64, (?) is
A)
92
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B)
91
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C)
81
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D)
78
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'Clue' is related to 'Mystery' as 'Warning' is related to
A)
Disaster
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B)
Precaution
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C)
Risk
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D)
Danger
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Amit is son of Rahul. Sarika, Rahul's sister has a son Sonu and a daughter Rita. Raja is the maternal uncle of Sonu. How is Rita related to Raja?
A)
Sister
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B)
Daughter
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C)
Niece
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D)
None of these
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In the figure A-represents students studying Chemistry, B-students studying Physics and C-students studying Mathematics. What does the shaded portion represents?
A)
Students who study Chemistry and Physics
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B)
Students who study Physics and Mathematics
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C)
Students who study Chemistry and Mathematics
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D)
Students who study Chemistry, Physics and Mathematics
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A capacitor when connected across a 12 V battery, collects 24 micro-coulomb of charge with air as dielectric and 60 micro-coulomb of charge when air is replaced by an oil. The relative permittivity (or dielectric constant) of the oil is
A)
0.4
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B)
1.0
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C)
2.5
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D)
4.0
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A particle of mass 4m which is at rest explodes into three fragments. Two of the fragments, each of mass m are found to move with a speed v each in mutually perpendicular directions. The total energy released in the process is
A)
\[\frac{1}{2}\text{m}{{\text{v}}^{2}}\]
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B)
\[\text{mv}\]
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C)
\[\text{1}\frac{\text{5}}{\text{4}}\text{m}{{\text{v}}^{\text{2}}}\]
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D)
\[\frac{\text{5}}{\text{2}}\text{m}{{\text{v}}^{\text{2}}}\]
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A light ray passes from air into a liquid and gets deviated by an angle of \[15{}^\circ .\] The angle of incidence is \[60{}^\circ .\] What is the refractive index of the liquid?
A)
\[\sqrt{\frac{2}{3}}\]
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B)
\[\sqrt{\frac{3}{2}}\]
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C)
\[\frac{\sqrt{3}}{2}\]
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D)
\[\frac{60{}^\circ }{15{}^\circ }\]
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A mark is made on the bottom of a beaker when it is empty and a microscope is focused on the mark. The microscope is then raised through 3 cm. To what height must water be poured in the beaker in order to bring the mark again in focus? (refractive index of water is 4/3)
A)
4.0 cm
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B)
4.3 cm
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C)
9.0 cm
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D)
12.0 cm
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A ray passing through the centre of curvature of a concave mirror make' an angle of incidence of
A)
\[90{}^\circ \]
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B)
\[0{}^\circ \]
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C)
\[180{}^\circ \]
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D)
\[60{}^\circ \]
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In a chemical reaction,\[\text{KMn}{{\text{O}}_{\text{4}}}\]is reduced to\[M{{n}^{++}}\] in acidic medium. The equivalent weight of\[\text{KMn}{{\text{O}}_{\text{4}}}\]would be
A)
\[\frac{1}{2}\]of the molecular weight
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B)
\[\frac{1}{5}\]of the molecular weight
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C)
\[\frac{1}{3}\]of the molecular weight
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D)
molecular weight
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Oxidation number of Chromium in \[{{\text{K}}_{\text{2}}}\text{C}{{\text{r}}_{\text{2}}}{{\text{O}}_{\text{7}}}\]would be
A)
\[+6\]
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B)
\[-\,\,6\]
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C)
\[+\,3.5\]
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D)
\[-\,2\]
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The copper sulphate can be stored in a container of metal
A)
Ag
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B)
Al
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C)
Fe
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D)
Zn
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The electronic configuration of the\[{{O}^{2-}}\]ion is
A)
\[\text{1}{{\text{s}}^{\text{2}}}\text{,2}{{\text{s}}^{\text{2}}}\text{,2}{{\text{p}}^{\text{4}}}\]
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B)
\[\text{1}{{\text{s}}^{\text{2}}}\text{,2}{{\text{s}}^{\text{2}}}\text{,2}{{\text{p}}^{\text{6}}}\text{3}\]
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C)
\[\text{1}{{\text{s}}^{\text{2}}}\text{,2}{{\text{s}}^{\text{2}}}\text{,2}{{\text{p}}^{\text{5}}}\]
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D)
\[\text{1}{{\text{s}}^{\text{2}}}\text{,2}{{\text{s}}^{\text{2}}}\]
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Which of the following indicates the relation randomness of particles in the three states matter?
A)
Solid >liquid > gas
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B)
Liquid < solid < gas
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C)
Liquid > gas > solid
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D)
Gas > liquid > solid
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Which of the following is a mismatch?
A)
AIDS-Bacterial infection
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B)
Polio-Viral infection
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C)
Malaria-Pratozoan infection
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D)
Elephantiasis-Helminth infection
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Which of the following pollutants is not present in the vehicular exhaust emissions?
A)
lead
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B)
ammonia
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C)
carbon monoxide
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D)
particulate matter
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Phosphates and nitrates entering a lake cause an explosive growth of algae, this is called
A)
aestivation
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B)
mutualism
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C)
humus
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D)
an algal bloom
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The process of photosynthesis and respiration cause the cycling of..... through the environment.
A)
carbon
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B)
water
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C)
nitrogen
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D)
hydrogen
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Which one of the following diseases is caused by a protozoan?
A)
Malaria
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B)
Influenza
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C)
AIDS
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D)
Cholera
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Which state has the longest route kilometers of railway line India?
A)
Maharashtra
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B)
Andhra Pradesh
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C)
Rajasthan
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D)
Uttar Pradesh
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The climate of India is mainly tropical because
A)
of the location of the Himalayas in its North
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B)
major part of India lies within the tropics
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C)
of the overpowering influence of India Ocean
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D)
of the seasonal influence of jet streams
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The Chief Minister of Union Territory where such a set up exists, is appointed by the
A)
President
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B)
Prime Minister
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C)
Lt. Governor
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D)
Majority party in Legislature
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Which one of the following does not constitute the electoral college for electing the President of India?
A)
Elected members of Rajya Sabha
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B)
Elected members of Lok Sabha
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C)
Elected members of the Legislative Assembly of each state
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D)
Elected members of the Legislative Council
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Who was known as the 'Liberator of the Press'?
A)
Bentinck
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B)
Hastings
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C)
Metcalfe
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D)
Macaulay
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Who was responsible for the Introduction of English as the official language in India?
A)
Lord William Bentinck
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B)
Sir Charles Wood
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C)
Marquess of Dalhousie
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D)
Allan Octavian Hume
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Ram Prasad Bismil was associated with
A)
Kakori Conspiracy Case
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B)
Alipore Bomb Case
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C)
Meerut Conspiracy Case
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D)
Kanpur Conspiracy Case
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Who wrote Tughluqnamah?
A)
Raskhan
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B)
Amir Khusrau
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C)
Isami
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D)
Malik Mohammad Jaisi
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Among the following which planet takes maximum time for one revolution around the Sun?
A)
Earth
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B)
Jupiter
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C)
Mars
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D)
Venus
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Which of the following is not a provision of the Charter Act of 1853
A)
Under this Act, a Legislative Council for India was created
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B)
Governor General was given the power to veto the Bills passed by the Legislative Council
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C)
A provision was made for an open competitive examination for recruitment to Indian Civil Service
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D)
None of the above
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The shortest day in Australia will be on
A)
June 21
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B)
December 22
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C)
September 23
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D)
March 21
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The sun reaches its maximum angular distance from the equator at the
A)
zenith
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B)
solstice
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C)
equinox
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D)
noontime
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Which of the following gases is most predominant in the Sun?
A)
Helium
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B)
Hydrogen
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C)
Nitrogen
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D)
Ozone
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Who among the following was the first woman minister of a state?
A)
Vijayalakshmi Pandit
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B)
Sarojini Naidu
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C)
Rajkumari Amrit Kaur
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D)
Indira Gandhi
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The first woman film star nominate to the Rajya Sabha was
A)
Nargis Dutt
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B)
Shabana Azmi
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C)
Madhubala
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D)
Meena Kumari
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Which of the following pairs is not correctly matched?
A)
Reinhold Messner Computer Technology
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B)
Hariow Shapley Astronomy
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C)
Gregor Mendel Hereditary Theory
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D)
Godfrey Hounsfield CT Scan
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Who is the first Air Chief to receive the honour of "Marshal"?
A)
Arjun Singh
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B)
Satish Kumar Sarin
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C)
S. K. Mehra
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D)
Yashwant Tipnis
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Who was known as 'Lady with Lamp'?
A)
Sarojini Naidu
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B)
Joan of Arc
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C)
Mother Teresa
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D)
Florence Nightingale
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The first woman to climb Mount Everest was
A)
Marie Jose Perec
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B)
Florence Griffith joyner
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C)
Junko Tabei
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D)
Jackie Joyner Kersee
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Which of the following latitudes passes through India?
A)
Equator
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B)
Arctic Circle
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C)
Tropic of Capricorn
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D)
Tropic of Cancer
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Which UN body deals with population problem?
A)
UNDP
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B)
UNESCO
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C)
UNFPA
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D)
UNICEF
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Who was the first Indian to be a fellow of the Royal Society of London?
A)
Srinivas Ramanujan
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B)
A. C. Wadia
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C)
C. V. Raman
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D)
P. C. Mahalanobis
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Who wrote the book 'A Passage to India'?
A)
Minoo Masani
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B)
Jawaharlal Nehru
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C)
Victor Banerjee
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D)
E. M. Foster
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Who among the following is a legal advisor of the State Government as provided by the Constitution?
A)
Public Prosecutor
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B)
Solicitor General
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C)
Advocate General
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D)
Attorney General
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Who among the following has the power to form a new state within the Union of India?
A)
President
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B)
Prime Minister
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C)
Supreme Court
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D)
Speaker of Lok Sabha
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Who is competent to prescribe conditions as for acquiring Indian citizenship?
A)
Parliament
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B)
State Legislatures
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C)
President
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D)
Attorney General
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Which of the following Articles describes about the person voluntarily acquiring citizenship of a foreign state not to be citizens?
A)
Articles 5
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B)
Article 7
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C)
Article 8
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D)
Article 9
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India's wage policy is based on
A)
cost of living
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B)
standard of living
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C)
productivity
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D)
None of the above
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Unemployment which occurs when workers move from one job to another job is known as
A)
seasonal unemployment
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B)
frictional unemployment
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C)
cyclical unemployment
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D)
technological unemployment
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Which city is designated as India's First World Heritage city?
A)
Surat
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B)
Ahmedabad
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C)
Mathura
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D)
Haridwar
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