Simplify : (√6 – 2√3)2
- ((a))
18 + 2√12
- ((b))
18 – 2√12
- ((c))
18 + 12√2
- ((d))
18 – 12√2
Show Answer
18 + 2√12
100 questions · 90 minutes · with answers · free
Simplify : (√6 – 2√3)2
18 + 2√12
18 – 2√12
18 + 12√2
18 – 12√2
18 + 2√12
Which agent produces a local or general loss of sensation?
Anaesthetic
Oxygen
Glucose
Blood
Anaesthetic
According to Mendeleev's periodic law, the elements were arranged in the periodic table in the order of ________.
Increasing atomic masses
Decreasing atomic masses
Decreasing atomic number
Increasing atomic number
Increasing atomic masses
In the given figure, the circle represents educated, the rectangle represents unemployed and the square represents villagers. Which region represents villagers and educated but not an unemployed?

2
3
4
1
2
Lactose is composed of ________ and glucose.
Fructose
Sucrose
Galactose
Maltose
Fructose
What is the LCM of 6(xy – y), 8 (x4y – xy)?
24 xy (x3 – 1)
(x3 – 1) xy
24 (x3 – 1)
24 xy
24 xy (x3 – 1)
Find the smallest three–digit number that is exactly divisible by 12, 15 and 24.
360
120
180
240
360
Simplify : cos (30° – A) – cos (30° + A)
cos A
(1/2) sin A
sin A
2 sin A
cos A
Sound travels in a medium as a ________.
Straight line
Series of compressions and rarefactions
Beam
Particle
Straight line
The reaction of sodium sulphate and barium chloride solution is an example of ________.
Double displacement reaction
Endothermic reaction
Single displacement reaction
Exothermic reaction
Double displacement reaction
Who was the Governor General of India during the Sepoy Mutiny?
Lord Canning
William Bentinck
Robert Clive
Warren Hastings
Lord Canning
A trader makes a profit by selling goods at a profit of 20%. He also uses weights that are 20% less. What is his actual gain per cent?
50%
25%
60%
40%
50%
The Government of India designated 29 June every year as 'Statistics Day' in the memory of ________.
Radhakamal Mukerjee
Prasanta Chandra Mahalanobis
Shakuntala Devi
Dhananjay Ramchandra Gadgil
Radhakamal Mukerjee
Complete the series.
7, 35, 33, 63, 60, 92, (…)
69
74
88
81
69
Captain Amarinder Singh is the present Chief Minister of ________.
Odisha
Sikkim
Rajasthan
Punjab
Odisha
Find the wrong number in the following series.
6, 12, 21, 36, 56, 81
56
36
21
12
56
Express in decimal form.
0.0896
0.0968
0.0888
0.0998
0.0896
If the selling price of an article is Rs. 240, the profit is 20%, then for how much should it be sold, if the profit is to be 30%?
Rs. 280
Rs. 200
Rs. 260
Rs. 300
Rs. 280
Choose the alternative that best replaces the question mark(?) in the given figure.
| 6 | 5 | 4 |
|---|---|---|
| 11 | 9 | 7 |
| ? | 56 | 33 |
75
95
85
65
75
Divide Rs. 305 into three parts, so that 3/7 of the first, 2/3 of the second and 4/5 of the third are equal. Find the share of the third one.
Rs. 62
Rs. 72
Rs. 75
Rs. 40
Rs. 62
An aqueous solution turns red litmus solution blue. Excess addition of which of the following solutions would reverse the change?
Ammonium hydroxide solution
Lime
Hydrochloric acid
Baking powder
Ammonium hydroxide solution
Which of the following is a folk dance popular during the harvest season in Punjab?
Odissi
Kathak
Bhangra
Garba
Odissi
A person travels from P to Q at a speed of 50 km/h for 30 minutes. He then increases his speed to 60 km/h and reaches his destination R in 20 minutes. What is his average speed for the whole journey?
70 km/h
55 km/h
65 km/h
54 km/h
70 km/h
Which number will best complete the relationship given below?
120 : 168 :: 288 : ?
360
362
359
358
360
Which state lies to the west of west Bengal?
Odisha
Chhattisgarh
Tripura
Jharkhand
Odisha
What does the Ashoka's wheel in the Indian National Flag represent?
Wheel of peace
Wheel of prosperity
Wheel of the law of dharma
Wheel of authority
Wheel of peace
Put the proper symbols +, -, ×, ÷ in the blank spaces to fit the equation.
(18 _ 3) _ 7 _ 15 _ 5 = 0
+, ÷ , -, ÷
+, +, × , ÷
+, × , -, ÷
+, -, × , -
+, ÷ , -, ÷
In this question, a statement is given followed by three conclusions. Choose the conclusion(s) which best fit(s) logically./
Statement:
F ≤ H < J ≥ V > E
Conclusions:
I. H < V
II. J > E
III. F < E
Only conclusion I is true
Only conclusion II is true
Only conclusion III is true
Only conclusions I and III are true
Only conclusion I is true
A metallic sphere of radius 6 cm is melted and drawn into a wire, whose radius of the cross–section is 8 cm. What is the length of the wire?
3.5 cm
5 cm
4.5 cm
4 cm
3.5 cm
Find the ODD one out from the given options.
LQO
PUS
TYW
ORT
LQO
Which of the following is the cause of ringworm?
Virus
Bacteria
Fungus
Liverwort
Virus
Complete the series.
11, 77, 38.5, 231, (…)
125
120
115.5
121.5
125
On increasing the temperature of solids, the kinetic energy of the particles ________.
First increases and then decreases
Is constant
Increases
Decreases
First increases and then decreases
A hare spots a dog 100 m away and starts running away from it at 12 km/h. One minute later, the dog gives a chase at 16 km/h speed. At what distance from the spot where the hare took to flight will the dog catch the hare?
1100 m
950 m
900 m
1000 m
1100 m
When is 'World Ozone Day' observed?
January 15
April 25
December 16
September 16
January 15
Find the missing number in the following series.
13, 32, 24, 43, 35, (…), 46, 65
54
60
52
56
54
What are the name of the observatory to study Saturn's moon and comets by NASA 2018 campaign?
W.M. Keck observatory
Pioneer 10
Sofia
Aryabhata space observatory
W.M. Keck observatory
What causes decomposition of organic matter?
Bacteria
Liverwort
Algae
Virus
Bacteria
The force of attraction between all masses in the universe, especially the attraction of the earth's mass for bodies near its surface is called ________.
Spring force
Mechanical force
Gravitational force
Friction force
Spring force
What does the five interlinked rings in the Olympic flag represent?
Oceans
Sports
Mountains
Continents
Oceans
How many squares are there in the given figure?

21
18
37
32
21
__________ become the first police force in the country to digitize all malkhanas, rooms for keeping seized arms and ammunition.
Delhi Police
Bengaluru Police
Chennai Police
Mumbai Police
Delhi Police
India's first self-made fighter jet is ________.
LCA Tejas
MiG-21
Dassault Rafale
Dassault Mirage 2000
LCA Tejas
Bronze is an alloy of ________.
Zinc and iron
Copper and tin
Tin and zinc
Iron and mercury
Zinc and iron
What is reduced by a lubricant?
The smoothness of the surfaces
The bright colours of the surfaces
The shiny nature of the surfaces
The interlocking of the irregularities of the surfaces
The smoothness of the surfaces
What is the valley (lowest portion) of a sound wave called?
Lowest
Crest
Highest
Trough
Lowest
Which of the following does NOT increase while moving down the group of the periodic table?
Metallic character
Atomic radius
Number of shells in an element
Valency
Metallic character
What is the unit of measurement of very long distances between celestial bodies?
Metres
Miles
Kilometres
Light years
Metres
Why does dispersion occur when white light which is a mixture of seven colours passes through a glass prism?
7 colours of white light travels at different speeds through a glass prism
7 colours are refracted at same speed.
7 colours are reflected by prism
The white light scatters the 7 colours throughout the prism
7 colours of white light travels at different speeds through a glass prism
In this question, a statement is given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statement:
Money plays a vital role in our lives.
Conclusions:
I. The poor can never become rich.
II. All the rich men take part in politics.
Only conclusion II follows
Only conclusion I follows
Neither conclusion I nor II follows
Either conclusion I or II follows
Only conclusion II follows
Which of these is NOT a blood group?
O
A
AB
C
O
If A, B and C are three points on a circle, where BC is the diameter and AC = AB = 5√2 cm. Find the radius of the circle.
6 cm
5 cm
5/√2 cm
4 cm
6 cm
What is the difference between compound interest and simple interest on Rs. 1000 at 10% after 4 years?
Rs. 74
Rs. 64.10
Rs. 16.40
Rs. 52
Rs. 74
Which of the following laws states that electric current 'I' flowing through a metallic wire is directly proportional to the potential difference 'V', across its ends provided its temperature remains constant?
Gauss' Law
Ohm's Law
Newton's Law
Pascal's Law
Gauss' Law
P and Q are facing each other. Q is to the north of P. R is placed on the right side of Q. What is the direction of R with respect to P?
Northwest
Southwest
Northeast
Southeast
Northwest
Find the ODD one out from the given options.
House : Room
Tree : Branch
Car : Engine
Table : Chair
House : Room
If x + 1/x = 2, then find the value of x2 + 1/x2.
1
–2
0
2
1
Which of these is a trace element?
Potassium
Manganese
Sodium
Magnesium
Potassium
Which hormone is produced by Islets of langerhans to control diabetes mellitus?
Ptyalin
HCl
Rennin
Insulin
Ptyalin
Which is the oldest hockey tournament in India?
Beighton Cup
Nehru Cup
Ramaswamy Cup
Durand Cup
Beighton Cup
Simplify : 0.8 + 0.08 + 0.008 + 8
880.8
8.888
8.808
8.088
880.8
Which element is the first element in the periodic table?
Helium
Oxygen
Hydrogen
Neon
Helium
Which of these plants has multi colored leaves?
Jasmine
Hibiscus
Tulsi
Croton
Jasmine
There are six members in a family. This year the father died and he has a son Ramesh, and a son is born to Ramesh. The average age of the family is the same now as it was 10 years back. At what age has the father of Ramesh died?
60 years
50 years
64 years
72 years
60 years
In the second quadrant, cos θ varies from:
1/2 to –1
0 to 1/2
0 to –1
–1 to 1
1/2 to –1
What is the concept of spherical mirrors?
Reflection of light
Radiation of light
Scattering of light
Refraction of light
Reflection of light
Who was the first Indian male athlete to reach the final of an Olympic athletic event?
Michael Kindo
Milkha Singh
Surjit Singh
Ajit Pal Singh
Michael Kindo
Simplify : 1.2̅ – 0.12̅
1
9/10
11/90
11/10
1
Complete the series.
CX, WP, UJ, SF, (…)
QD
YT
RE
OP
QD
Which of these states was NOT divided in the year 2000?
Madhya Pradesh
Uttar Pradesh
Maharashtra
Bihar
Madhya Pradesh
Find the value of 6 ÷ 2 × (1 + 2).
3
1
6
9
3
If A + B = C, D – C = A and E – B = C, then what does D + F stand for?
C
J
Q
E
C
If 'PALE' is coded as 2134, 'EARTH' is coded as 41590, how is 'PEARL' coded?
25430
25413
24153
29530
25430
Read the following information carefully and answer the question given below.
Eight friends—P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre. Each one of them likes different brands of a watch—Sonata, Titan, Fastrack, Swiss, Casio, Timex, Rolex and Fossil, but not necessarily in the same order.
P sits fourth to the right of the person who likes Fossil. P does not like Rolex or Sonata. T is not an immediate neighbour of W. R sits on the immediate right of the person who likes Fastrack. Neither P nor W likes Casio or a Titan. The person who likes Casio is not an immediate neighbour of the person who likes Fossil. The person who likes Sonata sits second to the left of T. The person who likes Sonata is an immediate neighbour of both persons who like Timex and Rolex. The person who likes Rolex sits third to the right of Q. Q does not like Casio. U is not an immediate neighbour of P. V is not an immediate neighbour of the person who likes Sonata. Only two people sit between the person who likes Rolex and W. The persons who like Casio and the Titan are immediate neighbours of each other.
Who among the following likes Titan?
S
R
V
Q
S
The negatively charged ion is known as ________.
Anode
Cathode
Anion
Cation
Anode
In this question, two statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements:
All fruits are baskets.
Some baskets are jars.
Conclusions:
I. Some jars are baskets.
II. No basket is fruit.
Both conclusions I and II follow
Only conclusion I follows
Only conclusion II follows
Neither conclusion I nor II follows
Both conclusions I and II follow
Evaluate:
12
16
14
24
12
Which of the following fuels is NOT used in thermal power plants?
Fuel oil
Natural gas
Uranium
Coal
Fuel oil
While executing a job, what 20 women can do in 16 days will be done by 16 men in 15 days. Find the ratio of the capacity of a man to that of a woman.
4 : 3
5 : 6
3 : 4
6 : 7
4 : 3
P, Q and R work together to finish a work. P and Q finish 70% of the work while Q and R finish 50% of the work. Who will finish first, if they work alone?
Cannot be determined
P
Q
R
Cannot be determined
Which of the following is a reproductive cell?
Lymphocytes
Gamete
RBC
WBC
Lymphocytes
Two numbers differ by 1365. On dividing the larger number by the smaller, the quotient and remainder got are 6 and 15 respectively. Find the larger number.
270
1095
1784
1635
270
A cone is 32 cm high and the radius of its base is 8 cm. It is melted and recast into a sphere. Find the radius of the sphere.
2.5 cm
4 cm
6.5 cm
8 cm
2.5 cm
Which of the following cities became the first to launch a 24 × 7 Ultra Low Emission Zone (ULEZ), inside which vehicles will have to meet emission standards or face a charge?
Sydney
Chennai
London
Washington
Sydney
A son's present age is two-fifths of his mother's age. After 8 years, he will be one half of his mother's age. What is his mother's age now?
40
50
42
36
40
Which of these fractions cannot be reduced further?
14/21, 33/43, 18/24, 92/24, 41/82
33/43
41/82
92/24
18/24
33/43
Acidic solutions in water conduct electricity because they produce ________.
Sulphide ions
Chloride ions
Hydrogen ions
Hydroxide ions
Sulphide ions
Find the ODD one out from the given options
40
80
79
20
40
Two numbers have their LCM and HCF to be 693 and 11 respectively. If one number is 99, find the other number.
79
12
34
77
79
If in a certain code 'YELLOW' is written as 'XFKMNX', how is 'BORDER' coded?
AQPESD
APSEFS
ANSCFQ
APQEDS
AQPESD
Bohr's orbits are called stationary, because ________.
Protons remain in the nuclei and are stationary
Electrons in them are stationary
Their orbits have fixed radii
Electrons in them have fixed energy
Protons remain in the nuclei and are stationary
Which number will best complete the relationship given below?
7 : 64 :: 8 : ?
81
80
78
82
81
Which of these is used to break the circuit or to close the electric circuit?
Bulb
Cell
Switch
Wire
Bulb
If (1 + tan A) (1 + tan B) = 2, then find A + B.
180°
90°
0°
45°
180°
If the northwest becomes north and south-east becomes south and so on, then what will the west become?
Southeast
Northeast
Northwest
Southwest
Southeast
At what rate per cent will a sum of money double itself in 30 years?
3%
3%
Eight friends—P, Q, R, S, T, U, V and W are sitting around a circular table for a meeting facing center. P is second to the right of V who is third to the right of Q. S is second to the left of U who sits between V and P. R is not a neighbour of Q or T.
Who is third to the right of V?
Q
R
W
T
Q
Which acid is present in sour milk?
Citric Acid
Acetic Acid
Glycolic Acid
Lactic Acid
Citric Acid
Find the missing group of alphabets in the following series.
XO, CJ, HF, (…), RA
PD
MC
AR
FC
PD
P invests Rs. 3500 in a business. After 5 months, Q joins him with some investment. At the end of the year if the profit that Q gets is 50% more than that of P, then find the investment of Q.
Rs. 9000
Rs. 5000
Rs. 7000
Rs. 6500
Rs. 9000
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