The sum of\[\frac{1}{\sqrt{2}+1}+\frac{1}{\sqrt{3}+\sqrt{2}}\] \[+\frac{1}{\sqrt{4}+\sqrt{3}}...+\frac{1}{\sqrt{100}+\sqrt{99}}\]is
A)
9
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B)
10
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C)
11
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D)
None of the above
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If \[x=\frac{\sqrt{3}+1}{\sqrt{3}-1}\] and \[y=\frac{\sqrt{3}-1}{\sqrt{3}+1}\], then the value of\[{{x}^{2}}+{{y}^{2}}\]is
A)
14
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B)
13
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C)
15
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D)
10
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If 50% of the 2 : 3 solution of milk and water is replaced with water, then the concentration of the solution is reduced by
A)
25%
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B)
33.33%
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C)
50%
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D)
75%
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If \[x=\sqrt{3}+\sqrt{2}\]then the value of\[\left( x+\frac{1}{x} \right)\]is
A)
2
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B)
3
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C)
\[2\sqrt{2}\]
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D)
\[2\sqrt{3}\]
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In the given figure, ABCD is a rhombus. If \[\angle A=70{}^\circ ,\]then \[\angle CDB\]is equal to
A)
\[65{}^\circ \]
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B)
\[55{}^\circ \]
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C)
\[35{}^\circ \]
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D)
\[45{}^\circ \]
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In the adjoining figure, ABCD is a rhombus whose diagonals intersect at O. If\[\angle OAB\,\,40{}^\circ \] and \[\angle ABO\,\,x{}^\circ ,\]then x is equal to
A)
\[50{}^\circ \]
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B)
\[35{}^\circ \]
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C)
\[40{}^\circ \]
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D)
\[45{}^\circ \]
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The price of an article is cut by 10%. To rectify it to its former value, the new price must be increased by
A)
10%
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B)
\[11\frac{1}{9}%\]
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C)
\[9\frac{1}{11}%\]
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D)
11%
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The lengths of the diagonals of a rhombus are 24 cm and 18 cm, respectively. The length of each side of the rhombus is
A)
12 cm
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B)
9 cm
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C)
15 cm
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D)
8 cm
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The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of 8 and C 43 kg, then the weight of B is
A)
1 7 kg
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B)
20 kg
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C)
26 kg
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D)
31 kg
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If the height of a given cone be doubled and radius of base remains the same, the ratio of the volume of the given cone to that the second cone will be
A)
2 : 1
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B)
1 : 8
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C)
1 : 2
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D)
8 : 1
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In the given figure, measure of \[\angle ABC\]is
A)
\[20{}^\circ \]
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B)
\[40{}^\circ \]
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C)
\[60{}^\circ \]
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D)
\[80{}^\circ \]
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A highway loads to the foot of 50 m tall tower. From the top of the tower, the angles of depression of two cars on the highway are \[30{}^\circ \]and \[60{}^\circ .\] What is the distance between the two cars?
A)
\[\frac{100}{\sqrt{3}}\,\,\text{m}\]
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B)
\[100\sqrt{3}\]
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C)
86.50 m
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D)
None of these
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\[\frac{\sin A+\sin B}{\cos A-\cos B}+\frac{\cos A+\cos B}{\sin A-\sin B}\]is equal to
A)
0
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B)
sin A cos B
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C)
cos A cos B
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D)
tan A tan B
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The area of sector of a circle of a radius 5 cm formed by an arc of length 3.5 cm is
A)
\[8.5\,\,c{{m}^{2}}\]
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B)
\[8.75\,\,c{{m}^{2}}\]
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C)
\[7.75\,\,c{{m}^{2}}\]
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D)
\[7.50\,\,c{{m}^{2}}\]
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\[\frac{1}{(1+{{\tan }^{2}}\theta )}+\frac{1}{(1+{{\cot }^{2}}\theta )}\]is equal to
A)
\[\frac{1}{4}\]
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B)
\[\frac{1}{2}\]
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C)
1
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D)
2
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If the following words are arranged in their natural sequence in descending order which word will occur in the second place?
A)
Page
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B)
Paragraph
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C)
Book
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D)
Library
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Which one of the given responses would be a meaningful order of the following words? 1. Family 2. Community 3. Member 4. Locality 5. Country
A)
3, 1, 4, 2, 5
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B)
3, 1, 2, 4, 5
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C)
3, 1, 2, 5, 4
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D)
3, 1, 4, 5, 2
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Which set of letters when sequentially placed at the gaps in the given letter series shall complete it? \[\_a\_aaaba\_\text{ }\_ba\_ab\_\]
A)
abaaaa
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B)
abaaba
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C)
aababa
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D)
ababaa
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Direction: Choose the correct alternative from the given once that will complete the series. BAF, FAJ, JAN, NAR, ?
A)
RAP
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B)
SAQ
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C)
REW
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D)
RAV
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Direction: Choose the correct alternative from the given once that will complete the series. 136, 55, 28, 19, 16, ?
A)
15
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B)
13
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C)
11
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D)
9
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A and C are children of B. B is the father of A but C is not the son of B. How is C related to A?
A)
Cousin
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B)
Sister
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C)
Daughter
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D)
Brother
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Sushil is better player than Anil but not as good as Rajat. Anil is a better player than Jamal. Kapil is a better player than Sushil but not as good as Rajat. Who is the best player of all?
A)
Kapil
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B)
Sushil
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C)
Rajat
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D)
Jamal
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In a certain code language GENIUS is written as HDOHVR. How will HONOUR be written in the same code?
A)
GPMPTS
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B)
INOOTS
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C)
IPMPVS
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D)
INONVQ
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If every alternate letter starting from B is deleted in the alphabet series, which of the following will be the tenth letter from the right end?
A)
G
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B)
D
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C)
Q
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D)
H
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Direction: Select the missing numbers from the given responses,
A)
2
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B)
3
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C)
4
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D)
5
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Direction: Select the missing numbers from the given responses. 6 6 8 5 7 5 4 3 ? 120 126 320
A)
4
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B)
8
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C)
12
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D)
16
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Chintu started from a point and proceeded 7 km towards East, then he turned left and proceeded for a distance of 10 km. He then turned left again and proceeded for another 10 km. In which direction is Chintu from his starting point?
A)
West
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B)
South
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C)
North
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D)
North-West
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Facing towards North Shreya walks 20 m. She turns left and walks 60 m, She again turns left and walks 20 m, then she turns right and walks 20 m. Then, she turns left and walks 10 m and again left and walks 80 m. How far is she from her original position?
A)
150 m
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B)
70 m
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C)
100 m
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D)
10 m
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The minimum number of colours required to paint all the sides of a cube so that two adjacent faces may have the same colour, is
A)
6
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B)
4
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C)
3
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D)
2
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Select the answer figure which will complete the question figure? Question Figure
Answer Figures
A)
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B)
done
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C)
done
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D)
done
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Maxwell is the unit of
A)
permeability
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B)
magnetic flux
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C)
magnetic susceptibility
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D)
intensity of magnetization
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It is difficult to cook at high altitudes because
A)
of high moisture content here
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B)
there is less oxygen in air
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C)
due to decrease in atmospheric pressure, the boiling point of water decreases
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D)
due to falling temperature, more heat has to be given
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An inflated balloon is floating on the surface of water. It is pushed, so as to submerge completely and then released. It will
A)
sink to the bottom
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B)
come back to its earlier position
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C)
remain submerged at the same place
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D)
first sink to the bottom and, then come up
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Angle of friction and angle of repose are
A)
equal to each other
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B)
not equal to each other
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C)
proportional to each other
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D)
None of the above
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An athlete diving off high spring board can perform a variety of exercise in the air before entering the water body. Which one of the following parameter will remain constant during the fall?
A)
The athlete's linear momentum
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B)
The athlete's angular momentum
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C)
The athlete's kinetic energy
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D)
The athlete's moment of inertia
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An ideal gas is one which obeys
A)
Gas law
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B)
Boyle's law
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C)
Charle's law
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D)
Avogadro's law
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Which one of the following has highest frequency?
A)
Cosmic rays
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B)
X-rays
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C)
Radio waves
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D)
Microwaves
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Which one of the following colloids systems is represented by soda water?
A)
Liquid in gas
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B)
Gas in liquid
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C)
Solid in gas
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D)
Liquid in liquid
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An intensive property in thermodynamics means a property which depends
A)
on the amount of the substance only
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B)
on the nature of the substance only
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C)
both on the amount as well as nature of the substance
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D)
neither on the amount nor on the nature
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The teflon plastic is prepared by the polymerisation of
A)
ethylene
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B)
acetylene
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C)
benzene
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D)
tetra fluoro ethylene
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Hydrochloric acid activates the enzyme
A)
Trypsin
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B)
Rennin
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C)
Lactase
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D)
Pepsin
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Which of the following substances is most depleted after a day of fasting?
A)
Amino acids
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B)
Fatty acids
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C)
Glycogen
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D)
Triglycerides
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Biologists have so far known, found and identified a large number of species in the plant and animal kingdoms. In terms of numbers, the largest found and identified so far is from among the
A)
fungi
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B)
plants
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C)
insects
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D)
bacteria
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The fat present below the skin surface in our body acts as a barrier against the
A)
loss of heat from the body
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B)
loss of essential body fluids
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C)
loss of salts from the body
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D)
entry of harmful micro-organisms from the environment
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Quantity of fresh air required for a man is
A)
1000 Cubic feet of air for every 20min
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B)
1000 Cubic feet of air for every 20 s
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C)
1000 Cubic feet of air for every 10 min
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D)
1000 Cubic feet of air for every 10 s
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Harappan seals were predominantly made of
A)
steatite
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B)
lapiz lazuli
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C)
stone
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D)
copper
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The Sultan of the Sultanate of Delhi who transferred his capital from Delhi to Agra, was
A)
Khizr Khan
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B)
Bahlul Lodhi
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C)
Sikandar Lodhi
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D)
Ibrahim Lodhi
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Which of the following was the 'newspaper' of Annie Besant?
A)
The Hindu
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B)
Indian Express
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C)
The Times of India
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D)
New India
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What was the ultimate goal of Mahatma Gandhi's Salt Satyagraha?
A)
Repeal of Salt Satyagraha
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B)
Curtailment of the Government's power
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C)
Economic relief to the common people
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D)
Purna Swaraj for India
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Who was the first Muslim President of the Indian National Congress (INC)?
A)
Badruddin Tyabji
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B)
Hakim Ajmal Khan
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C)
M AJinnah
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D)
Maulana Abul Kalam Azad
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What is the India's rank in the latest World Bank (WB)'s Ease of Doing Business ranking 2018?
A)
111th
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B)
130th
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C)
115th
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D)
100th
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The territorial waters of India extend up to
A)
5 nautical miles
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B)
12 nautical miles
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C)
15 nautical miles
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D)
2 nautical miles
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Which of the following States of India do not lie entirely in the Tropical Zone of the Earth?
A)
Kerala and Tamil Nadu
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B)
Gujarat
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C)
Karnataka
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D)
Maharashtra and Andhra Pradesh
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Which Indian organisation has launched digital enrollment process "APY@e NPS" for Atal Pension Yojana?
A)
RBI
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B)
NPCI
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C)
IRDAI
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D)
PFRDA
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The 'Blue Moon' Phenomenon occurs
A)
when two full Moons occur in the same month
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B)
when four full Moons appear in two consecutive months of the same calendar year
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C)
when two full Moons appear in the same month thrice in a calendar year
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D)
None of the above
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The erosive power of a river depends mostly upon its
A)
width and depth
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B)
speed and depth
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C)
gradient and width
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D)
speed and volume
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Man can maintain an ecological balance in the biosphere by
A)
deforestation
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B)
developing new breeds of cultivated plants and domesticated animals
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C)
using insecticides and pesticides
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D)
understanding the delicated balance in the relative number of organisms
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The Indian Constitution came into force on
A)
26th January, 1950
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B)
26th January, 1949
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C)
26th November, 1949
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D)
1st January, 1950
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The Supreme Commander of India's Defence Forces is the
A)
Chief of Staff of the Indian Army
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B)
President of India
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C)
Prime Minister of India
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D)
Defence Minister
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The least literate State in India is
A)
Bihar
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B)
Uttar Pradesh
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C)
Odisha
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D)
Rajasthan
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The President of India is the
A)
Head of State
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B)
Head of the Government
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C)
Head of State as well as Government
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D)
Uncrowned Monarch of the Republic
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Which city has become the first Indian city of get its own logo?
A)
Pune
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B)
Patna
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C)
Kochi
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D)
Bengaluru
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Which one of the following economists firstly introduced Gross Domestic Product to measure the economic growth of a country?
A)
Simon Kuznets
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B)
Max O Lorenz
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C)
John Maynard Keynes
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D)
Ernst Engel
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The Rolling plan concept in National Planning was introduced by
A)
Indira Gandhi Government
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B)
The National Front Government
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C)
The Janata Party Governement
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D)
Rajiv Gandhi Government
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For which one of the following sectors, the National Social Security Fund was set up by the Indian Government?
A)
Agriculture Sector
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B)
Organised Sector
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C)
Unorganised Sector
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D)
Private Sector
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Which one of the following is the best source of generating electricity in India from the view point of sustainable development?
A)
Coal
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B)
Mineral oil and gas
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C)
Hydro-electricity
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D)
Atomic energy
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Which one of the following does not belong to group of other three?
A)
Gas and electricity supply sectors
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B)
Mining and quarrying sectors
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C)
Fishing and forestry sectors
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D)
Water supply sector
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Which one among of the following is the types of poverty which compares the total wealth of the poorest one-third of the population with the total wealth of richest 1 % of the population?
A)
Absolute poverty
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B)
Severe poverty
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C)
Relative poverty
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D)
Mass poverty
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Select the correct answer about the Indian states in Health Sector
A)
Kerala is the best performer in term of life expectancy at birth (both male and female) in last decade
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B)
Madhya Pradesh the worst in terms of life expectancy at birth (both male and female) in last five years
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C)
The highest birth rate in India is found in Goa
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D)
Both the statements given in [a] and [b] are correct
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Which Indian weight lifter has bagged a gold medal at the Asian Youth and Junior Weightlifting Championships in Kathmandu (Nepal)?
A)
Konsam Ormila Devi
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B)
Lalita Kumari
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C)
Rita Singh
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D)
Veera Jaiswal
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The Secretary General of the UNO iiappointed by the
A)
General Assembly
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B)
Security Council
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C)
Trusteeship Council
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D)
World Bank
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Who was the First US astronaut?
A)
Neil Armstrong
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B)
Alan Shepard
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C)
James Adam
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D)
Dannis Tito
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Bertrand Russell was famous as a
A)
mathematician and a philosopher
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B)
campaigner against nuclear weapons
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C)
winner of the Nobel Prize for Literature
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D)
All of the above
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India and Sri Lanka have signed a MoU to develop a village in, which district in Sri Lanka?
A)
Anuradhapura
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B)
Jaffna
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C)
Mannar
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D)
Badulia
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Who amongst the following is renowned in the field of painting?
A)
Parveen Sultana
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B)
Prof. T N Krishnan
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C)
Ram Kinkar
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D)
Raja Ravi Varma
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