Evaluate: 2 tan2 45° + cos2 30° - sin2 60°
- ((a))
1/2
- ((b))
2
- ((c))
0
- ((d))
1
Show Answer
1/2
100 questions · 90 minutes · with answers · free
Evaluate: 2 tan2 45° + cos2 30° - sin2 60°
1/2
2
0
1
1/2
Find the LCM of 2.05, 1.05 and 2
1722
1522
1622
1822
1722
Ultrasound is used to detect ______ in metal blocks.
Cracks and flaws
Metal opacity
Metal heat
Metal heaviness
Cracks and flaws
Which classical dance form is indigenous to Kerala?
Kathakali
Kuchipudi
Kathak
Bharatanatyam
Kathakali
In a certain code language 'no more food' is written as 'ta ka da', 'more than that' is written as 'sa pa ka'. How is 'that' written in that code language?
da
ka
sa or pa
ta or da
da
In this question, two statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements:
No magazine is cap.
All caps are cameras.
Conclusions:
I. No camera is magazine.
II. Some cameras are magazines
Either conclusion I or II follows
Only conclusion I follows
Only conclusion II follows
Both conclusions I and II follow
Either conclusion I or II follows
The diameter of a circular wheel is 1.4 m. How many revolutions will it make in travelling 22 km?
5000
500
2500
2000
5000
What is the full form of NABARD?
National Bank for Agriculture and Regional Development
National Bank for Agriculture and Rural Development
National Bank for Agriculture and Regional Department
None Of The Above.
National Bank for Agriculture and Regional Development
Krishnadevaraya was the ruler of _________ empire.
Chola
Pandya
Chera
Vijayanagar
Chola
Find the ODD one out from the given options.
18 - 45
36 - 27
23 - 14
29 - 82
18 - 45
Onion and garlic are examples of -
Corm
Rhizome
Bulb
Stem tuber
Corm
By using a windmill, which energy is tapped to rotate wind turbines to drive generators?
The sound energy of wind
The heat energy of wind
The kinetic energy of the moving wind
The chemical energy of wind
The sound energy of wind
A pendulum of length 'l' swings through an angle of 45º and describes an arc of length 15.4 cm. Find the value of 'l'.
19.6 cm
22.2 cm
18.4 cm
20.6 cm
19.6 cm
If 138.019 + 341.981 - 146.395 = 133.605 + a, find the value of 'a'.
120.085
200
248
295.5
120.085
As the pH value increases from 7 to 14, it represents _______.
Both acidic and neutral solution
Acidic solution
Neutral solution
Basic solution
Both acidic and neutral solution
A man goes towards east 5 km, then he takes 120 degrees right turn and goes 5 km. He again takes 120 degrees right turn and goes 5 km. With respect to the starting point, where is he now?
East
At the starting point
North east
West
East
Find the missing number in the series.
49, 64, (...), 100, 121
72
92
81
88
72
What is the sum of all two-digit numbers ≤ 50?
1230
1250
1330
1350
1230
In this question, two statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements :
All grasses are trees.
No tree is shrub.
Conclusions:
I. No grass is shrub.
II. Some shrubs are grasses.
Both conclusions I and II follow
Neither conclusion I nor II follows
Only conclusion II follows
Only conclusion I follows
Both conclusions I and II follow
Choose from the alternatives the figure that best completes the pattern given below.






A room is 15 ft long and 12 ft broad. A mat has to be placed on the floor of this room leaving 1.5 ft space from the walls. What will be the cost of the mat at the rate of Rs. 3.50 per square feet?
Rs. 472.50
Rs. 496
Rs. 630
Rs. 378
Rs. 472.50
If '×' means '÷', '–' means '×', '÷' means '+' and '+' means '–', then 3 - 15 ÷ 16 × 8 + 6 = ?
41
47
35
30
41
If an item is sold for Rs.8000 at 25% profit, then find the profit.
Rs. 1800
Rs. 1200
Rs. 1600
Rs. 1000
Rs. 1800
The general formula of alkynes is-
CnH2n-2
CnH2n+4
CnH2n+2
CnH2n
CnH2n-2
Which is the planet in the solar system which is nearest to the Sun?
Mercury
Mars
Venus
Earth
Mercury
Who suggested the four main groups of human blood in 1890?
Karl Landsteiner
Chadwick
Louis Pasteur
Ronald Ross
Karl Landsteiner
One Coulomb of electric charge per second is-
1 Ampere
1 Volt
1 Joule
1 Second
1 Ampere
Which of the following are known as 'nucleons?'
Protons and electrons
Only protons
Protons and neutrons
Neutrons and electrons
Protons and electrons
With the market price coming down by 25%, Sita is able to procure 1 kg of sugar more for Rs. 30. What is the original price of sugar?
Rs. 7.30
Rs. 7.50
Rs. 10
Rs. 16.50
Rs. 7.30
The main structural material of hair is -
Thiamine
Keratin
Biotin
Vitamin
Thiamine
Which formula gives the refractive index of second medium with respect to the first?
sin i × sin r
sin i - sin r
sin i / sin r
sin i + sin r
sin i × sin r
The notation (g) is used in the chemical equation to represent the particular element or compound in-
Aqueous
Gaseous state
Liquid state
Solid state
Aqueous
Ascorbic acid is known as-
Vitamin B
Vitamin D
Vitamin A
Vitamin C
Vitamin B
Ten years ago, a mother was thrice as old as her son. After 10 years, she will be twice as old as her son. What is the ratio of their present ages?
7 ∶ 4
7 ∶ 3
3 ∶ 2
4 ∶ 3
7 ∶ 4
Choose the figure that best represents the relationship among the classes given below.
Photography, Time, History, Theatre





Simplify: 30 × 3 × 0.3 × 0.03 × 0.003
0.0000243
0.000081
0.00243
0.002403
0.0000243
For a particular sum at a certain rate, find the ratio of Simple Interest got for 4 years and 8 years.
1 ∶ 4
2 ∶ 3
2 ∶ 1
1 ∶ 2
1 ∶ 4
Three taps P, Q and R are filled in a water tank to draw out water. Tap P fills 4 buckets in 24 minutes, Q fills 8 buckets in 1 hour and R fills 2 buckets in 20 minutes. All the taps are opened and the tank is emptied in 2 hours. If a bucket holds 10 litres of water, what is the capacity of the tank?
180 litres
240 litres
480 litres
200 litres
180 litres
With which of the following sports is Viswanathan Anand associated?
Chess
Polo
Golf
Billiards
Chess
LCM of two numbers 'p' and 'q' is 935 and (p > q). What is the maximum sum of the digits of 'q' out of the possible pairs 'p', 'q'?
16
8
5
20
16
D is a point on BC of ΔABC where BD = (1/2)DC. Find the ratio of areas of ΔABD and ΔABC.
2 ∶ 3
3 ∶ 1
3 ∶ 2
1 ∶ 3
2 ∶ 3
If 'nitco sco tingo' stands for 'softer than flower', 'tingo rho mst' stands for 'sweeter flower fragrance' and 'mst sco tmp' stands for 'sweeter than smile' what would 'softer' stand for?
mst
tingo
sco
nitco
mst
Find the wrong number in the following series.
133, 119, 107, 91, 77
119
91
133
107
119
With which sport is the term 'deuce' associated?
Polo
Cricket
Basketball
Tennis
Polo
If a certain sum becomes Rs. 20720 in 4 years and Rs. 24080 in 6 years, find the sum and rate of Simple Interest.
Rs. 14000, 12%
Rs. 16000, 12%
Rs. 16000, 8%
Rs. 14000, 10%
Rs. 14000, 12%
Keeping the potential difference constant, the resistance of a circuit is doubled. What happens to the current?
It becomes one-fourth
It gets doubled
It becomes four times
It gets halved
It becomes one-fourth
In which of the following countries was the 21st FIFA World Cup-2018 held?
Brazil
Russia
Spain
Argentina
Brazil
Find the ODD one out from the given options.
NPR
LNP
EGJ
UWY
NPR
Where is India's first hi-tech forensic lab, which was recently inaugurated, located?
Mumbai
Delhi
Kolkata
Chennai
Mumbai
Ethane, with the molecular formula C2H6 has-
9 covalent bonds
8 covalent bonds
7 covalent bonds
6 covalent bonds
9 covalent bonds
All noble gas molecules are-
Diatomic
Monoatomic
Polyatomic
Tri atomic
Diatomic
When did Chernobyl nuclear disaster take place?
1986
1990
1982
1984
1986
Which of the following IIT's students have developed a mobile-app to detect fake currency notes in 2019?
IIT Bangalore
IIT Kharagpur
IIT Madras
IIT Palakkad
IIT Bangalore
In this question, a statement is given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statement: Any student who does not behave properly while in school brings bad name to himself and also for the school.
Conclusions:
I. Such student should be removed from the school.
II. Strict discipline does not improve the behavior of the students.
Neither conclusion I nor II follows
Both conclusions I and II follow
Only conclusion I follows
Only conclusion II follows
Neither conclusion I nor II follows
If |-4x + 4| - 6 = -6, then find the value of 'x'.
2
-1
1
0
2
___________ are segmented stem that grows horizontally underground.
Tuber
Rhizome
Sucker
Bulb
Tuber
To get a virtual, erect and enlarged image behind a concave mirror, where should the object be placed?
Between pole P and focus F
At the centre of curvature C
At focus F
Between centre of curvature C and focus F
Between pole P and focus F
Find the missing number in the series.
21, (...), 22, 36, 23, 37
21
35
22
32
21
The conversion of liquid state into solid state is known as-
Evaporation
Freezing
Sublimation
Vapourisation
Evaporation
The Indian Constitution has been divided into _______ parts at the time of commencement.
22
25
16
24
22
Which of the following is WRONGLY matched?
Sodium carbonate – washing soda
Calcium carbonate – slaked lime
Sodium hydroxide – caustic soda
Sodium chloride – common salt
Sodium carbonate – washing soda
After the death of which prime minister did Gulzarilal Nanda take over as the acting prime minister for the second time?
Indira Gandhi
Charan Singh
Jawaharlal Nehru
Lal Bahadur Shastri
Indira Gandhi
Lactometers, which are used to determine the purity of sample of milk, works on which principle?
Archimedes principle
Principle of scalar chain
Principle of periscope
Principle of potentiometer
Archimedes principle
A chord of length 8 cm subtends an angle 60º at the centre. What is the radius of the circle?
8 cm
4 cm
6 cm
12 cm
8 cm
A number, when 35 is subtracted from it, reduces to its 80 percent. What is four-fifths of that number?
90
120
70
140
90
Which number will best complete the relationship given below?
2 : 3 :: 23 : ?
29
25
27
31
29
In a data, sum of the deviations about the mean is always:
Zero
Negative
Cannot be determined
Positive
Zero
Varun walked 4.5 km towards south direction and turned right. After reaching 3 km, he turned left and walked 5 km. What is the distance he covered towards south?
8.5 km
9.5 km
5 km
4.5 km
8.5 km
In a certain code, 'TRIPPLE' is written as 'SQHOOKD'. How is 'DISPOSE' written in that code?
CHRNORD
CHRONDR
CHRONRD
CHRORND
CHRNORD
A boatman goes 2 km upstream in 1 hour and 1 km downstream in 10 minutes. What is the speed of boat in still water?
4.5 km/h
3 km/h
2.5 km/h
4 km/h
4.5 km/h
Which of the following group of alphabets will best complete the relationship given below?
BH : JP :: FK : ?
OT
MS
NT
NS
OT
A tank gets filled by a pipe in 2 hours. But due to a leak, it takes 30 more minutes to fill the tank. How long will it take a full tank to get emptied by the leak, when the pipe is closed?
10 hours
2 hours 45 minutes
5 hours
2 hours 30 minutes
10 hours
Which of these square numbers cannot be expressed as the sum of two prime numbers?
81
49
121
144
81
Find the ODD one out from the given options.
BREATH : ERBHTA
FIGURE : IFUGER
RUGGER : GURREG
PARROT : RAPTOR
BREATH : ERBHTA
Which metal can be displaced by copper from its salt solution?
Copper
Silver
Aluminium
Iron
Copper
Choose from the alternatives the figure that best completes the pattern given below.






The product of two numbers is 9375. The quotient, when the largest number is divided by the smallest number is 15. Find the sum of these numbers.
395
380
400
425
395
Find the missing frequency 'x' in this data, given that the arithmetic mean is 28.
| Profit % | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 |
|---|---|---|---|---|---|---|
| No. of shops | 12 | 18 | 27 | x | 17 | 6 |
20
24
15
12
20
Ramya walked eastwards and turned to her left. She turned right two times. Which direction is she walking now?
South west
South
East
South east
South west
P does half as much work as Q. R does half as much work as P and Q together. If R alone can finish it in 40 days, then all of them together will finish the work in how many days?
15
30
20
40/3
15
Which of the following states inaugurated a web portal 'Banglar Shiksha' for school students in 2019?
Rajasthan
West Bengal
Tamil Nadu
Arunachal Pradesh
Rajasthan
Simplify:
3
2
5
4
3
The hormone thyroxine is commonly known as -
T3
T4
PTH
TSH
T3
Adipose tissue stores -
Carbohydrate
Protein
Fat
Adrenalin
Carbohydrate
__________ is an active form of vitamin A.
Retinol
Niacin
Riboflavin
Pyridoxine
Retinol
If in a certain code, 'HEAVY' is written as 'ICBTZ', then how will 'QUICK' be written in that code?
RSJAL
OSJAL
RSKAL
RSAJL
RSJAL
The outermost layer of skin is called-
Epidermis
Cutin
Dermis
Keratin
Epidermis
The possibility of fraternal twin occurs -
At fertilisation stage
At zygotic stage
Subsequent to fertilisation
At conception
At fertilisation stage
Prayagraj Kumbh Mela 2019, entered Guinness Book Of World Records for the -
Largest sanitation drive
Largest painting exercise of public sites
All of the options
Largest crowd management
Largest sanitation drive
Which of the following states is the largest state in India in terms of area?
Gujarat
Karnataka
Maharashtra
Rajasthan
Gujarat
Which number will best complete the relationship given below?
27 : 16 :: 125 : ?
34
36
30
32
34
Read the following information carefully and answer the question given below.
Eight friends - A, B, C, D, E, F, G and H are sitting around a circular table facing the centre. Each one of them likes different brands of car - Swift, Indica, Polo, Volvo, Audi, BMW, Maruti and Kwid, but not necessarily in the same order.
A sits third to the right of the person who likes Kwid. A does not like Polo. E is not an immediate neighbour of H. C sits on the immediate right of the person who likes Polo. Neither A nor H likes Audi or a Indica. The person who likes Audi is not an immediate neighbour of the person who likes Kwid. The person who likes Swift sits second to the left of E. The person who likes Swift is an immediate neighbour of the both persons who like BMW and Maruti. Person who likes Maruti sits third to the right of B. B does not like Audi. F is not an immediate neighbour of A. G is not an immediate neighbour of the person who likes Swift. Only two people sit between the person who likes Maruti and H. The persons who like Audi and the Indica are immediate neighbours of each other.
Which of the following is TRUE with respect to the given seating arrangement?
E sits to the immediate left of the person who likes Kwid
F and D are immediate neighbours to each other
The persons who like BMW and Indica are immediate neighbours to each other
G sits second to the right of D
E sits to the immediate left of the person who likes Kwid
Yamuna and Gomati are the tributaries of river -
Mahanadi
Godavari
Krishna
Ganga
Mahanadi
A precious crystal piece worth Rs.15600 is accidentally dropped and was broken into three pieces, their weights respectively proportional to 2, 3 and 5 units. Value of the crystal varies directly as the cube of its weight. Calculate the percentage loss in the value.
25%
75%
84%
16%
25%
The element, which has zero electron affinity in the 3rd period is -
Al
Ar
S
P
Al
A 270 m long train running at a speed of 120 km/h crosses another train running in opposite direction at the speed of 80 km/h in 9 seconds. What is the length of the other train?
280 m
240 m
260 m
230 m
280 m
How is the voltmeter connected in all circuits to measure the voltage between two points?
In parallel
In line
In series
Across
In parallel
A is now 9 years older than B. In 10 years, A will be twice as old as B was 10 years ago. Find the present age of A.
39
23
36
48
39
What are the three main lubricants used in moving parts of a machine?
Oil, rubber, adhesives
Grease, resins and sandpaper
Oil, grease, graphite
Graphite, sandpaper, resin
Oil, rubber, adhesives
Read the following information carefully and answer the question given below.
Eight friends - A, B, C, D, E, F, G and H are sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. The ones who sit at the four corners face the center while those who sit in the middle of the sides face outside.
A, who faces the center, sits third to the right of F. E, who faces the center, is not an immediate neighbour of F. Only one person sits between F and G. D sits second to the right of B. B faces the center. C is not an immediate neighbour of A.
Who among the following sits opposite to A?
D
F
E
B
D
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