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D and E are the midpoints of AB and AC of ∆ABC, and BC is produced to any point P; DE, DP and EP are joined. then, area of:
(By midpoint theorem)
DE ∥ BC
DE = 1/2 BC
⇒ ar(∆BDE) = 1/4 × ar(∆ABC)
And ∆BDE = ∆PED
[ ∵ both triangles lie on the same base DE and between two parallel lines DE and BP.]
∴ ar(∆PED) = 1/4 × ar(∆ABC)
One side other than the hypotenuse of the right angle isosceles triangle is 6 cm. The length of the perpendicular on the hypotenuse from the opposite vertex is:
Let ∠B be right angle in △ABC
and BD be perpendicular on hypotenuse AC then
1/p^{2} = 1/6^{2} + 1/6^{2}
P^{2} = 6^{2}/2
⇒ p = 3√2
The speeds of two trains are in the ratio 3: 4. They are going in opposite directions along parallel tracks. If each takes 3 seconds to cross a telegraph post, find the time taken by the trains to cross each other completely?
Speed of both trains = 3 : 4
x 3 ↓ : ↓ x 3 → time
Length = 9m : 12m
Time = D/S = = =
= 3 sec.
A mother is 3 times faster than her daughter. If the daughter completes a piece of work in 15 days, how long will it take for both mother and daughter to complete the same work?
Daughter’s oneday work = 1/15
Mother’s oneday work = 1/5
Both can complete their work = 1/5+1/15 = (3+1)/15 = 4/15
Hence, required days= 15/4 days .
Study the following table carefully to answer the questions that follow.
The number of soldiers (in thousands) joining five different forces during six different years.
The total number of soldiers joining BSF in the years 2004, 2005 and 2006 was approximately what percent of the total number of soldiers joining the Navy over all the years together?
Total no. of soldiers joining BSF in 2004, 2005, 2006
= 13400
Total no. of soldiers joining in Navy = 10900
Required Percentage= (13400/10900)×100 = 123%
Study the following table carefully to answer the questions that follow.
The number of soldiers (in thousands) joining five different forces during six different years.
What was the ratio of the number of soldiers joining the Army in the year 2008 to the number of soldiers joining the coast guard in the year 2006?
If tan (5x – 10°) = cot (5y + 20°), then the value of (x+y) is:
tan (5x – 10°) = cot (5y + 20°)
tan (5x – 10°) = tan (90° – {5y + 20°})
5x – 10° = 90° – (5y + 20°)
5x + 5y = 90° + 10° – 20°
5x + 5y = 80°
x + y = 16°
If a train, with a speed of 60 km/hr, crossed a pole in 30 seconds, the length of the train (in meters) is:
Speed = 60 km/hr
S = 60 x 5/18 m/sec = 50/3 m/sec.
T = 30 sec.
Length = S x T = (50/3 x 30)m
L = 500m
The supplement of an angle is onefourth of itself. Determine the angle and its supplement.
Let the measure of the angle be x°
Then, the measure of its supplementary angle is (180  x^{o}).
It is given that,
180^{o}  x = 1/4 X x
⇒ (180^{o}  x) = x
⇒ 720  4x = x
⇒ 5x = 720
⇒ x = 144
Thus, the measure of the angle is 144^{o} and the measure of its supplement
= 180^{o}  144^{o} = 36^{o}
3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
Total age of 5 members, three years ago
= 17 × 5 = 85 years
Three years hence,
Total age of 5 members = 85+3x5 = 85+15 = 100 years
Sum of present ages of 6 members = 17 × 6 = 102 years
Present age of baby= 102 – 100 = 2 years
A ladder leans against a vertical wall. The top of the ladder is 8 metres above the ground. When the bottom of the ladder is moved 2 metres farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?
Let the length of the ladder be x meter. We have
8^{2} + y^{2} = x^{2} and (y + 2) = x
Hence, 64 + (x  2)^{2} = x^{2}
⇒ 64 + x^{2}  4x + 4 = x^{2}
⇒ 68 = 4x ⇒ x = 17 meter
The length of a Rectangular plot is decreased by 33.33%. By how much % the breadth of the plot will be increased so that the area remains constant?
33.33 = 1/3 → 1/2
=
A man deposited a certain amount in a fixed deposit at r % p.α., interest being compounded annually. If the interest accrued for the fourth and fifth years are Rs 13310 and Rs 14641. what is the total interest accrued for the first three years?
The interests accrued each year on compound interest form a geometric progression with I, as the firstyear interest and common ratio of (1 + r/100).
Therefore, interests for 1^{st}, 2^{nd}, 3^{rd}, 4^{th} and 5^{th} years will be
respectively
Given, (1 + r/100)^{3} = 13310 ______________(1)
and (1 + r/100)^{4} = 14641 ______________(2)
(2) divided by (1), we get
1 + r/100) = 14641/13310 = 1.1
Therefore, Sum of the first three years interests
= 13310/(1.1)^{3} + 13310/(1.1)^{2.}+ 13310/(1.1)^{1}
= 13310/1.331 + 13310/1.21 + 13310/1.1
= 10000 + 11000 + 12100
= Rs. 33100
A person earns Rs. 5000 as an interest in 5/2 years on a certain sum invested with a company at the rate of 10% per annum. Find the sum invested by a person in the company?
P =
P = Rs. 20,000
cot ? = tan (90  ?) and cos ? = Sin (90  ?)
Hence
1  1/2 = 1/2
A is twice as fast as B, and B is one third as fast as C. If they together can complete work in 30 days. In how many days, A, B and C individually can do the same work?
Condition 1 A is twice as fast as
B means their ratio is 2: 1.
Condition 2 B is one third as fast
as C, means their ratio is 1: 3. Then we can say, the ratio of A, B and C is as follows
According to condition 1,
A : B = 2 : 1
According to condition 2;
B : C = 1 : 3
Thus, the ratio of A: B: C = 2: 1 : 3
This ratio denotes the working efficiency of A, B and C which means;
A, B and C can do = (2 + 1 + 3 = 6) work/day
Now we can calculate total work i.e.
Total work = Total days × Per day work
Total work = 30 × 6 = 180
A can do the same work in;
= (Total work / Efficiency of A) = 180 / 2 = 90 days
B can do the same work in;
= (Total work / Efficiency of B)
180 / 1 = 180 days
C can do the same work in;
= (Total work / Efficiency of C) = 180 / 3 = 60 days
Thus, A, B and C can individually complete the same work in 90, 180 and 60 days, respectively.
Minimum value of (a+ b) can be obtained when a= b
Then a + b = 5 + 5 (∴ ab= 25 and a=b)
=10
Given, a + b + c = 1
Let observe the value of a, b, c
a = 1 / 3, b = 1 / 3, c = 1 / 3
a + b + c
1 / 3 + 1 / 3 + 1 / 3 = 1
3 / 3 = 1
1 = 1
Put the values of a, b, c
(1 + a) (1 + b) (1 + c)
4 / 3 x 4 / 3 x 4 / 3
64 / 27
= 2.37
The price of a shirt is ₹260 but the shopkeeper successively discounts 15% & 20%. The net sales price is subject to a sales tax of 5%. What does the buyer pay?
1^{st} discount
S.P. = Rs. 260  15% Rs.260
= 260  39 = 221
2^{nd} discount
S.P. = Rs.221  20% Rs. 221
= 221  44.2 = 176.8
Sales tax = 5 / 100 x 1768 / 10
= 8840 / 1000
= Rs. 8.84
Amount paid by buyer
= Rs. 176.8 + Rs. 8.84
= Rs. 185.64
A cistern from inside is 12.5 m long, 8.5 m broad and 4 m high and is open at the top. Find the cost of cementing the inside of a cistern at Rs. 24 per sq. m
Area of surface to be cemented = 2 x (l+b) x h + (lxb)
i.e, area of four walls + area of the floor
= 2 x (21) x 4 + (106.25)
= 274.25 m^{2}
∴ cost of cementing = 24 x 274.25 = Rs. 6582
A goat is tied to a pole fixed at a corner outside a room with a square base in a grass field. It is tied using a 14 m long rope. The side of the base of the room is 21 m. Find the area of the field over which the goat can graze (in sq. m).
Let the goat be tied at P.
The area over which the goat could graze = sum of the areas of the regions A and B = Area of a
The sector of radius 14 m and central angle 270°
=
=
=
= 462 sq.m.
An article is sold at a loss of 10%. Had it been sold for Rs. 9 more, there would have been a gain of % on it. The cost price of the article is :
Let the cost price of the article = Rs. x
S.P. at 10% loss = Rs. 0.9x
According to question if it is sold by Rs 9 more there will be gain of 25 / 2 %
0.9x + 9 =
0.9x + 9 =
⇒ 180x + 1800 = 225x
⇒ 225x  180x = 1800
⇒ 45x = 1800
⇒ x = Rs. 40
Alternate Solution,
Let the CP of the article = 100
x X 22.5 = 9
x = 9 / 22.5
= 18 / 25
Required,
⇒ CP X x
⇒ 100 x 18 / 45
⇒ 40
A water tank is 6 m long, 5 m broad and 3.4 m high. Find the capacity of the tank in litres?
Volume = 6 x 5 x 3.4
Volume = 102 cu.cm
1 cu.m = 100 cu.cm
102 cu.cm = 102 x 100
= 10200 cu.cm
1000 cu.cm = 1 litre
1cu.cm = 1 / 1000
10200 cu.cm = (1 / 1000) x 10200
10.2 litres
The ratio of the area of a square to that of the square drawn on its diagonal is :
Its area = a^{2}
Area of square on the diagonal = (√2a)^{2} = 2a^{2}
Required ration= a^{2} / 2a^{2} = 1: 2
=
=
=
=
=
=
= sin θ
In the given figure, if ∠ABC = 90° and ∠A = 30°, then ∠ACD=
∠ACD = ∠B + ∠A
= 90° + 30°
= 120° (exterior angle)
A certain sum of money yields ₹ 1261 as compound interest for 3 years at 5% per annum. The sum is
C.I. =
⇒ 1261 =
⇒ 1261 =
⇒ 1261 =
= 1261x / 8000
⇒ x =
= Rs. 8000
2^{x1} + 2^{x+1} = 320
2^{x1}(1 + 2^{2}) = 320
2^{x1} = 320
2^{x1} = 320 / 5 = 64
2^{x1} = 2^{6}
x  1 = 6
x = 7
sin^{2}25^{o} + sin^{2}62^{o} = sin^{2}25^{o} + sin^{2}(90^{o}  25^{o})
= sin^{2}25^{o} + cos^{2}25^{o} = 1
A is twice as good as a workman as B. Together, they finish the work in 14 days. In how many days can it be done by each separately?
As per the question, A does twice the work as done by B.
So A:B = 2:1
Also (A+B)'s oneday work = 1/14
To get days in which B will finish the work,
let's calculate work done by B in 1 day
=(1/14) x (1/3) = 1/42
So B will finish the work in 42 days and A will finish the work in 21 days.
If in the word EMBLAZONER the position of the first and the sixth letters are interchanged, the second and seventh letters are interchanged and so on up to the fifth and the tenth letters. Then which will be the fourth letter from the left end after interchange?
E M B L A Z O N E R ⇒ Z O N E R E M B L A
Hence, E is the fourth letter from the left end after the interchange.
The diagram given below represents ownerbroker and worker. Identify the region which represents all the three i.e. owner, broker and worker.
DIRECTIONS: A jeweler has five diamond stones, each having a different weight.
Statement (a): Stone D weighs twice as much as stone E.
Statement (b): Stone E weighs four and onehalf times as much as stone F.
Statement (c): Stone F weighs half as much as stone G.
Statement (d): Stone G weighs half as much as stone H.
Statement (e): Stone H weighs less than stone D but more than stone F.
Which of the following is the lightest in weight?
⇒ D= 2E
⇒ E = 4.5 F
⇒ E=1/2 G
⇒ G =1/2 H
⇒ D > H > F
So, the order of weights can be D > H > G>E > F.
In the following question, select the related letter/word/number from the given alternatives.
QDXM: SFYN:: UIOZ:
DIRECTIONS: In the question below, there are few statements followed by few conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.
Statements:
All books are eyes.
Some eyes are pens.
All pens are pencils.
Conclusions:
I. Some pencils are books.
II. Some pencils are eyes.
If only Conclusion II follows.
DIRECTIONS: Study the following diagram and answer the questions that follow.
a. The rectangle represents men.
b. Circle represents graduates.
c. Triangle represents skilled persons.
d. Square represents employed persons.
The skilled employed men who are graduates are
Ram went 15 km to the West from my house then turned left and walked 20 km. He then turned East and walked 25 km and finally turning left covered 20 km. How far was he from my house?
TP=TQPQ and TQ=RS
TP= RSPQ = 2515=10 km
There are 30 plants of Badam, Banana, Apple and Pomegranate in a row. There is one pair of Pomegranate plants after Badam and Banana and Pomegranate plants are followed by one Badam and one Apple plant and so on. If the row begins with a plant of Badam, then which of the following will be the last in the row?
Three of the following four are alike in a certain way and so form a group. Which is the one that does not belong to that group?
115 = 23 × 5
161 = 23 × 7
253 = 23 × 11
391 = 23 × 17
345 = 23 × 5 × 3
A cage has 21 rabbits. All but 14 died. How many rabbits were left in the cage?
The pattern in the question is:
42 + 52 = 16 + 25 = 41,
22 + 12 = 4 + 1 = 5
72 + 62 = 49 + 36 = 85
Hence option (c) is the correct answer.
In the following question, select the related letter/word/number from the given alternatives.
MUTE: MOUNTAIN
DIRECTIONS: A word is represented by only one set of numbers as given in any of the alternatives. The set of numbers given in the alternatives are represented by two classes of alphabets as in the 2 matrices given below. The columns and rows of Matrix I are from 0 to 4 and that of Matrix II from 5 to 9. A letter can be represented first by its row and next by its column number. e.g., ‘C’ can be represented by 02, 21, etc. ‘T’ can be represented by 65, 96 etc. Similarly, you have to identify the correct set for the word given below.
According to the question,
A = 75, 56, 87, 68, 99
D = 00, 31, 12, 43, 24
J = 85, 66, 97, 78, 59
U = 95, 76, 57, 88, 69
S = 55, 86, 67, 98, 79
T = 65, 96, 77, 58, 89
So, ADJUST = 87, 31, 66, 69, 86, 89
DIRECTIONS: Study the following information to answer the given questions
In a certain code:
‘swords hidden in the area’ is written as ‘white black yellow red’
‘ready swords for attack’ is written as ‘grey pink red green’
‘hidden for own safety’ is written as ‘silvergrey violet white’
‘own area under attack’ is written as ‘violetblue pink black’
‘black pink yellow’ could be a code for which of the following?
From 1 & 2
swords = red
From 1 & 3
hidden = white
From 3 & 4
own = violet
From 1 & 4
area = black
From 1
in= yellow
From 2 & 3
for= grey
From 2
ready = green
From 3
safety = silver
From 4
under = blue
So, ‘black pink yellow’ is ‘Area in attack’
Sanjay says, “I have as many sisters as brothers.” Sarita says, “Each of us sisters has only half as many sisters as brothers.” Assuming that Sanjay and Sarita are brother and sister, how many brothers and sisters are there in the family?
Let there are ‘b’ brothers and ‘s’ sisters, then according to Sanjay.
b1 = s ….. (i)
According to Sarita, b = 2 (s1) …… (ii)
On solving Eqs. (i) and (ii) b = 4 and s = 3
Thus, there are 4 brothers and 3 sisters
DIRECTIONS: Read the following information carefully to answer the questions that follow.
A is the father of C, but C is not his son. E is the daughter of C. F is the spouse of A. B is the brother of C. D is the son of B. G is the spouse of B. H is the father of G.
Who is the son of F?
DIRECTIONS: In the following question, continuous pattern series is given. Some of the letters of the series are missing. These missing letters are given in that order as one of the four alternatives below the series. Find out the correct alternatives.
n_pps_nsp_sn_sp_sn
Series pattern is : nsp/psn/nsp/psn/nsp/psn
∴ Required answer = snpnp
DIRECTIONS: Solve the following series?
B2F, G4K, L12P, Q38U, ?
The Series is as follows;
V118Z will come in place of ‘?’
DIRECTIONS: Choose the missing terms out of the given alternatives.
cx fu ir? ol ri
DIRECTIONS: Each of the following questions consists of five figures marked A, B, C, D and E if called the Problem figures followed by five other figures marked 1, 2, 3, and 4 called the ‘Answer figures. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.
DIRECTIONS: Each of the following questions consists of five figures marked A, B, C, D and E if called the Problem figures followed by five other figures marked 1, 2, 3, and 4 called the ‘Answer figures. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.
DIRECTIONS: Arrange the following words according to the English dictionary.
(a). Nature (b). Native (c). Narrate (d). Nascent (e). Naughty
(c). Narrate (d). Nascent (b). Native (a). Nature (e). Naughty
Arrange the following words according to the English dictionary.
(a) Haste (b) Haphazard (c) Host (d) Hang (e) Handkerchief
(e) Handkerchief (d) Hang (b) Haphazard (a) Haste (c) Host
How many pairs of letters are there in the word 'DABBLE' each of which has as many letters between them in the word as in the alphabet?
Letters in the word  Letter in the alphabet 
D A B  D C B 
B B L E  B C D E 
A B  A B 
A B B L E  A B C D E 
Who was recently elected as the Deputy Chairman of the Rajya Sabha in the Parliament?
Earlier in his career, he was a journalist with 'Prabhat Khabar' and then was chosen as the media advisor to former Prime Minister Chandra Shekhar.
Recently, the Ministry of External Affairs organised the 11th World Hindi Conference at which of the following Indian ocean states?
The theme of the Conference: "Hindi Vishwa Aur Bhartiya Sanskriti". It was organised by the Ministry of External Affairs, Government of India in association with the Government of Mauritius
Right to Information, an important legislative act to promote transparency & strengthen the democracy of India came into being in which year?
Using rtionline.gov.in citizens of India can seek information to turn India into a participatory democracy.
According to the government guidelines, 'Any person who desires to obtain information shall submit a written or electronic request in English or Hindi or in the official language of the area to the Central Public Information Officer or his/her counterpart at the state level.'
Which Indian state excelled to be the top performer in the recently released 'Ease of Living Index 2018' by the Ministry of Housing & Urban Affairs?
The Index seeks to assist states in undertaking a 360degree assessment of their strengths, weaknesses, opportunities, and threat & innovation to perform in the governance, identity and culture, education, health, safety and security, economy, affordable housing, land use planning etc. for its residents.
Which of the following government entities started 'Seva Bhoj Yojana  a scheme to reimburse central share of CGST and IGST on food, prasad, langar etc. offered by religious and charitable institutions?
Institutions like Temples, Gurudwara, Mosque, Church, Dharmik Ashram, Dargah etc. who are established and serving free food for more than 5 years to more than 5000 people every month without any discrimination are the eligible entities.
Google recently, unveiled ____________ which will quickly render any PDF with Indian language content into editable text using Artificial Intelligence.
Under the project, The registered publishers will be provided with a free web hosting service along with a branded domain for 3 years and having AdSense support to help monetize their content.
Which of the following Indian states launched a scheme, 'Kanyashree', to incentivize adolescent girl child education to combat the issue of child marriages?
Eligible girls got ₹1,000 a year scholarship from ages 13 to 18 years and a onetime grant of ₹25,000 on remaining unmarried till 18 years. More than 5 million girl children benefited from the scheme.
Recently the annual income limit was relaxed to any girl child within the age limit.
Which of the following government institutions launched "Pitch to MOVE", a business opportunity platform for budding entrepreneurs?
It aims to identify and incentivise the startups, which will help the Government realize its vision of Shared, Connected, Intermodal and EnvironmentFriendly Mobility for India.
The objective is to harness the latest disruption for generating employment and growth in our country
Ghoomar is a popular traditional folk dance from which region in India?
Attire for women: Ghagharas along with colourful chunaris and heavy embroidery. Works garment.
Which of the following International Organisations are headquartered in Washington D.C., USA?
International Atomic Energy Agency  Vienna, Austria 
World Bank  Washington DC 
International Monetary Fund  Washington DC 
Match the following trophies with their respective sports
Aga Khan Cup  Hockey 
Durand Trophy  Football 
Sharjah Cup  Cricket 
Yonex Cup  Badminton 
A. Aga Khan Cup  a. Cricket 
B. Durand Trophy  b. Badminton 
C. Sharjah Cup  c. Football 
D. Yonex Cup  d. Hockey 
Dhauladhar National Park is situated in which of the following Indian state?
Daman & Diu is the Union territory of India comprising 2 different areas separated by which of the following?
With an area of only 112 square kms, it is the second smallest UT of India after Lakshadweep.
Recently, BOMBAY NATURAL HISTORY SOCIETY opened its regional centre at which of the following important Wetland in India?
Here, BNHS would be engaged in identifying the air route of the migratory birds flocking the Chilika lake during winter & sample collection, training related to bird census among other important conservatory purposes.
With which of the following Financial Institution would you associate 'Prompt Corrective Action'?
The Reserve Bank of India has specified certain regulatory guidelines, as a part of the Prompt Corrective Action (PCA) framework, in terms of 3 parameters,
 capital to riskweighted assets ratio (CRAR),
 net nonperforming assets (NPA) and
 Return on Assets (RoA), applicable only to commercial banks and not extended to cooperative banks, nonbanking financial companies (NBFCs) & other financial institutes
Who among the following is credited with the invention of the electric generator?
He is also credited with theorising the principles underlying electromagnetic induction, diamagnetism and electrolysis in Physics.
Which element among the following is most reactive?
Atomic No. 19, It has two major isotopes with mass number 39 and 41.
It is an important component in the human diet that helps in muscle movement.
An AC dynamo is used to convert ____________ energy into ____________energy.
The dynamo works on the principle of electromagnetic induction, where an e.m.f is induced in it on the rotation of a coil in a uniform magnetic field.
Which of the following is the part of the brain in the human body?
The medulla oblongata is connected by the pons to the midbrain and is continuous posteriorly with the spinal cord, with which it merges at the opening (foramen magnum) at the base of the skull.
_____________ _ are atoms of different elements having the same number of neutrons.
For example Both Boron (12) and carbon (13) nuclei contain 7 neutrons in their nucleus.
Isobars are atoms having the same mass number but different atomic numbers.
Isotopes are atoms having the same atomic number but different mass numbers.
Which among the following is the one demonstrating radioactivity in its natural state?
It is a colourless, odourless gas and part of natural radioactive decay series with a halflife of 3.8 days.
Radon dilutes rapidly when exposed to the outside air.
Heavy water is used as which of the following function in a nuclear reactor?
In order to continue a fission reaction and sustain the chain reaction, the moderator is used. It is the material in the reactor core that slows down the neutrons released from fission.
Which hormone in plants promotes cell elongation, resulting in plant growth?
Cytokinins are a class of plant growth hormones that promote cell division, in plant roots and shoots. They affect apical dominance, axillary bud growth, and leaf senescence.
Gibberellin is a type of plant and fungal hormone. Gibberellin can overcome dormancy in seeds, extend the length of cells and encourage division, and even has hormonal and signalling roles in the fruiting and senescence processes.
λ = h/mv is famously known as __________ equation.
λ = h/mv, where λ is the wavelength, h is Planck's constant (6.6x 1034 Js), m is the mass of a particle (mass of electron= 9.1 x 1031 kg), moving at a velocity v.
_____________ is the amount of energy released when one mole of ions undergo hydration which is a special case of solvation.
It is a special case of dissolution of energy, with the solvent being water.
Lattice Energy is defined as the amount of energy released during the formation of one mole of an ionic compound from its constituent ions.
Which of the following laws gives the relation, E α T^{4}? (where E is radiant heat energy emitted from a unit area & T is the absolute temperature in Kelvin)
E α T^{4} where E is radiant heat energy emitted from a unit area & T is the absolute temperature in Kelvin.
or E= σT^{4}, where σ is StefanBoltzmann constant having a value of 5.670367 X 10^{8} watt per meter^{2} per K^{4}
Max Planck was given the Nobel Prize in 1918 for which of the following?
He was credited with initiating the study of quantum mechanics.
In 1900 his theoretical research into the radiation and absorption of heat/light by a black body led to his theorising of energy quanta.
Arrange the following mediums in descending order of speed of light in them.
Water, Flint Glass, Olive oil, Rock Salt
Speed of light in descending order would be Water > Olive Oil > Rock Salt > Flint Glass.
The speed of light in a medium = Speed of light in vacuum/ Refractive index
Refractive indices of different mediums at room temperature are as such,
Water 1.33, Olive Oil 1.44 1.47, Rock Salt 1.54, Flint Glass 1.65
Mushrooms are considered as which of the following categories?
Mushrooms have no chlorophyll and obtain their nutrition from metabolizing nonliving organic matter, hence are called saprophytes.
Which among the following is the lightest Halogen in the periodic table?
Its atomic number is 9.
For easier transportation purposes, it is converted to Hydrogen Fluoride, since fluoride is extremely reactive.
The largest cell in the human body is ____________.
They measure about 0.1 mm in diameter and are spherical in shape, comparable to the size of a grain of sand.
The biological name of female egg cells is 'ova'.
A body initially at rest moves with a constant acceleration of 30 m/s^{2}. At about 20 seconds from the initial point, it would have travelled how much distance?
Since, the body was initially at rest, u= 0 m/s,
Hence, Putting the values in the equation, S = ut +1/2*at^{2}
S = 0 + ½ (30 x 20^{2})
Or, S = 6000 metre or 6 km
The Current flowing through a 100 W light bulb when it is connected to a 240 V power supply is _________.
So, 100= I x 240
Therefore, I= 0.42 A.
Who among the following is often referred to as 'Father of Taxonomy'?
He wrote the book 'Systema Naturae' in the 18th century.
His system for naming, ranking, and classifying organisms have influenced generations of biologists and still widely in use.
Which of the following when connected in parallel to a Galvanometer converts it to an Ammeter?
In an electrical circuit, shunt resistance is connected in parallel with a Galvanometer to make it act like an Ammeter.
It is mainly made of a material having a lowtemperature coefficient of resistance.
Which of the following is the S.I unit of 'Momentum'?
When a body of a certain mass is moving with a certain velocity, then the body is said to possess momentum.
Which branch of Biology deals with the study of forms and features of the different part of animals, plants, and microorganisms and of the relationships of their constituent parts?
Two subdivisions of Morphology are
 Functional Morphology is studying cooperation between structures and functions, focusing on morphological features.
 Experimental morphology focuses mostly on the organism's behaviour under lab conditions.
If you touch Mimosa Pudica, a 'Touch me Not' plant, they tend to close, this type of movement is known as _____________.
Mimosa pudica, which is a sensitive plant, shows this type of movement.
The movement of K+ ions causes the change in the osmotic potential of cells of the pulvinus, present in the base of leaf stalk in the plant.
Which of the following is used as a rodenticide (rat poison)?
When a rat ingests it, it gets converted to phosphine gas in its body.
This phosphine gas is subsequently absorbed into the bloodstream through the stomach and the intestines and gets captured by the liver and the lungs resulting in toxic effects of metabolism processes.
In the study of Biology, __________ is regarded as the basic unit of life.
Any living organism is either made up of a single cell or many cells, which is the smallest unit.
A Cell consists of a quantity of protoplasm surrounded by a cell membrane, capable of synthesizing proteins and replicating itself.
Chalcopyrite is a major ore for extraction of which of the following metal?
Atomic mass: 63.546 a.m.u; Atomic number: 29
Copper is a soft, malleable, and ductile metal while having a very high thermal as well as electrical conductivity.
The softness of a natural rubber changed to a high strength material through which of the following processes?
In the final product of the process, finished rubber has higher tensile strength and resistance to swelling and abrasion, and is elastic over a greater range of temperature
Based on 'Magnetic properties', Mercury can be labelled as a _____________ material.
Diamagnetism: On application of an external magnetic field to a diamagnetic substance such as mercury or silver, a weak magnetic dipole moment is induced in the direction opposite the applied field.
Their atoms have no permanent magnetic dipole moment in them
What are the two types of Coefficient of friction?
Regardless of the objects being motionless or in motion, the coefficient of friction is not always the same.
Chloroform, when exposed to oxygen, can form which of the following toxic substances?
When chloroform is exposed to oxygen and amounts of UV light, the formation of Phosgene takes place.
Phosgene is highly toxic and can possibly cause death.
Chloroform CHCl_{3}
Phosgene COCl_{2}
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