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Which of the following countries has built the world's biggest air purifier, a 328 feet high tower, to combat air pollution?
China has built the world's biggest air purifier, a 328 feet high tower, to combat air pollution.
Which of the following metal composition is an example to modify chemical activity?
If the polynomial f(x) = x4 - 2x3 + 3x2 - ax + b is divided by (x - 1) and (x + 1), the remainders are 5 and 19 respectively. The values of a and b are ________
By remainder theorem,
f(1) = 5 -----(i)
[x - 1 = 0, so x = 1]
f( - 1) = 19 -----(ii)
[x + 1 = 0,so x = - 1]
Now from eq.(i)
1 - 2 + 3 - a + b = 5
Or b - a = 3 -----(iii)
From eq.(ii)
1 + 2 + 3 + a + b = 19
Or a + b = 13 -----(iv)
From eq. (iii) + (iv)
2b = 16
b = 8
Now from eq.(iv)
a = 13 - 8 = 5
a = 5 , b = 8
Which among the following is Not an application of Newton’s Third Law of Motion?
A fielder pulling his hand backward while catching a ball is an application of newton’s second law of motion.
Newton's Second Law of motion states that the rate of change of momentum of an object is proportional to the applied force in the direction of the force. ie., F=ma. Where F is the force applied, m is the mass of the body, and a is the acceleration produced.
Newton's Third Law of Motion states that 'To every action there is an equal and opposite reaction'.
Which of the following is a good conductor of both heat and electricity?
Graphite is a good conductor of heat as well as electricity. This is because, like metals, graphite contains delocalised electrons. These electrons are free to move through the structure of the graphite. These property makes graphite a good conductor of heat and electricity.
A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened?
When the folded paper is opened, it appears as shown below,
Thus, when the fold is opened the paper looks like image at option 1.
As per the Central Statistic Office, the Indian economy is expected to grow at ________ in 2018-19 due to improvement in the performance of agriculture and manufacturing sectors.
As per the Central Statistic Office, the Indian economy is expected to grow at 7.2% in 2018-19 due to improvement in the performance of agriculture and manufacturing sectors.
P, Q, R, S, T, W, Y, and Z are sitting around a circular table from equal distances to each other and facing towards the center. They all like different colors viz., Red, Blue, Green, Black, White, Pink, Yellow, and Brown (not necessarily in the same order). P likes yellow and sitting third to the left of W. Two persons are sitting between W and S. The one who likes pink is not sitting with P nor with W. Only one person is sitting between T and Z but not P and S. Y likes black but he is not sitting with S. R does not like pink nor white. T is sitting to the immediate left one who likes green. Z does not like brown nor he is sitting to the immediate right one who likes black. The one who likes white is not sitting with W. R neither likes brown nor Red. Which of the following combination is true as per the given information?
Eight People: P, Q, R, S, T, W, Y and Z
Colours: Red, Blue, Green, Black, White, Pink, Yellow and Brown (not necessarily in the same order)
1) P likes yellow and sitting third to the left of W.
2) Two persons are sitting between W and S
3) The one who likes pink is not sitting with P nor with W.
4) Only one person is sitting between T and Z but not P and S.
5) Y likes black but he is not sitting with S.
6) R does not like pink nor white.
(So, R is sitting between P and S.)
7) T is sitting to the immediate left one who likes green.
(So, W likes green.)
8) Z does not like brown nor he is sitting to the immediate right one who likes black.
(Thus, case I gets eliminated.)
9) The one who likes white is not sitting with W.
(So, S likes white (refer to point no. 7).
10) R neither likes brown nor Red.
(So, R likes blue.)
Also, Z does not like brown, so Z likes Red and T likes brown.
Hence, “Z, Red” is the correct answer.
In the given question, select the related word from the given alternatives.
Accrue : Diffuse :: Agony : ?
Accrue means to accumulate or receive over time.
Diffuse means spread out over a large area.
Accrue and diffuse are antonyms to each other.
Similarly,
Agony means extreme physical or mental suffering.
Among the given words Relish is an antonym to Agony.
Relish means great enjoyment.
Thus Agony is related to Relish.
AIveoIi, balloon like structures are tiny air sacs within the lungs. The respiratory system comes into direct contact with the circulatory system through them. They pass carbon dioxide in the blood to the lungs while oxygen in the lungs is passed into the blood.
Find the next number in the series.
3, 18, 3.6, 14.4, 4.8, ?
The logic here is as follows,
3 × 6 = 18
18 ÷ 5 = 3.6
3.6 × 4 = 14.4
14.4 ÷ 3 = 4.8
4.8 × 2 = 9.6
Thus the next number in the series is 9.6.
Where was the international kite festival kicked off on 6 January 2019?
Weight of C is twice the weight of M. Weight of M is 1/9 of the weight of R. Weight of R is 5/2 of the weight of K. Weight of K is 1/3 of the weight of G. Who is the second lightest?
Let weight of M be x.
Weight of C is twice the weight of M → C = 2x
Weight of M is 1/9 of the weight of R → M = 1/9 R → R = 9x
Weight of R is 5/2 of the weight of K → 9x = 5/2K → K = 3.6x
Weight of K is 1/3 of the weight of G → K = 1/3G → 3.6x = 1/3G → G = 10.8x
Final solution is:
G > R > K > C > M
Hence, ‘C’ is the 2nd lightest.
The average temperature of the first three days is 27°C, and that of the next three days is 29° C, if the average of the entire week is 28.5°C, then the temperature of the last day is_
Average = Sum of quantities/Total number of quantities
Given, average temperature of the first three days is 27°C, and that of the next three days is 29° C.
Sum of temperatures for first six days = 27 × 3 + 29 × 3 = 168° C.
Let the temperature on the last day be ‘t’.
Thus average temperature of the week =
Given, average of the entire week is 28.5°C.
⇒ 168 + t = 199.5
⇒ t = 31.5° C
________ are the most abundant of all the cells in blood.
Which bank is the world's biggest financier of climate action and clean energy projects?
European Investment Bank (EIB) will be signing a new loan for large and small clean energy projects all over India. The EIB is the world's biggest financier of climate action and clean energy projects. In 2017 the EIB invested EUR 19.6bn in climate action projects. The EIB signed a partnership with the International Solar Alliance aimed at supporting the initiative.
If the selling price of an article is doubled, then its loss percentage gets converted into the equal profit percentage. What is the loss percentage?
Loss % = {(Cost price – selling price)/cost price} × 100
Profit % = {(2 × selling price – cost price)/cost price} × 100
According to question,
{(Cost price – selling price)/cost price} × 100 = {(2 × selling price – cost price)/cost price} × 100
⇒ cost price – selling price = 2 × selling price – cost price
⇒ 2 × cost price = 3 × selling price
⇒ Selling price/cost price = 2/3
Now,
∴ Loss % = {(Cost price – selling price)/cost price} × 100 = {1 – (selling price/cost price)} × 100 = {1 – (2/3)} × 100 = 33.33%
Previous
Which answer figure will complete the pattern in the question figure?
When we complete the above figure, we get:
Find the next term in the series.
MATHEMATICS, ATHEMATICS, ATHEMATIC, THEMATIC, _________
Here in each next term 1st letter form the start or 1st letter from the end is removed alternatively.
Thus the next term in the series will be THEMATI.
In a triangle ABC, a line is drawn from C which bisects AB at point D. Find the ratio of the area of triangles DBC and ABC.
As (6, 8, 10) is a pythagorean triplet so triangle ABC is a right angled triangle, right angled at B
⇒ Area of triangle ABC = (1/2) × base × height = 1/2 × 6 × 8 = 24 cm2
Now, point D bisects AB
⇒ DB = (1/2) × AB = 1/2 × 8 = 4 cm
Also, triangle DBC is a right angle triangle, right angle at B
⇒ Area of triangle DBC = (1/2) × base × height = 1/2 × 6 × 4 = 12 cm2
∴ Required ratio = area of triangle DBC ∶ area of triangle ABC = 12 ∶ 24 = 1 ∶ 2
Manu gives 20% of his money to his eldest son, he gives 40% of the remaining to his youngest son, he gives 30% of the remaining to a school for poor boys. Still, he has Rs. 1008. Find his total sum.
Let’s assume that initially Manu has Rs.X
First he gives 20% of his money to his eldest son
∴ money given to the eldest son = 0.2 X
∴ Remaining money = X – 0.2 X = 0.8 X
Then he gives 40% of the remaining money to his youngest son
∴ money gives to the youngest son = 0.8 X × 0.40 = 0.32 X
∴ Remaining money = 0.8 X – 0.32 X = 0.48 X
Then he gives 30% of the remaining money to a school for poor boys
∴ money gives to school for poor boys = 0.48 X × 0.30 = 0.144 X
∴ Remaining money = 0.48 X – 0.144 X = 0.336 X
Given finally remaining money = 1008
∴ 0.336 X = 1008
⇒ X = 3000
∴ the total sum is = Rs. 3000
According to the Indus water treaty which river will be not governed by Pakistan?
Eastern Rivers:
Western Rivers:
According to treaty, all the water of eastern rivers shall be available for unrestricted use in India. India should let unrestricted flow of water from western rivers to Pakistan.
Woolen clothes are used in winter season because of woollen clothes
Woollen clothes being a bad conductor of heat does not allow body heat to dissipate in surroundings, which enables us to keep our body warm.
Which instrument is used to measure the depth of the ocean?
The fathom is a unit of water depth, from which the instrument gets its name. The fathometer is an echo sounding system for measurement of water depth. A fathometer will display water depth and can make an automatic permanent record of measurements.
Directions: In making decisions about important questions, it is desirable to be able to distinguish between Strong arguments and weak arguments. Strong arguments are those, which are both important and directly related to the question. Weak arguments are those, which are of minor importance and also may not be directly related to the question or may be related to a trivial aspect of the question. The question below is followed by two arguments numbered I and II. You have to decide which of the arguments a strong argument is and which a Weak argument is.
Statement: Should English be given so much importance in India?
Argument:
I. Yes even in advanced countries the medium of instruction is English.
II. Yes. English is a much widely used language all over the world
Clearly based on the practices in other countries a decision cannot be taken in India. Thus Argument I is invalid. Since English is used widely thus we using it in our country will help us more. Thus option 2 is the correct answer.
A man pointed out to a woman saying that she is the wife of my maternal grandfather’s only son. What is the relation between the woman and the man’s only uncle?
From the given information,
Based on given data, we can draw the possible family tree.
The man in the question has only one uncle who is his maternal Grandfather’s son. The woman is the wife of the mentioned Uncle, as evident from the family tree.
Hence, that woman is Uncle’s wife.
What would be the expenditure in 30 days at the rate of 75 paise per unit, if a bulb of 100 W is used five hours per day?
1 unit = 1 kWh
100 W = 0.1 kW [∵ 1kW = 1000 W]
In 30 days total consumption of the bulb = 0.1 kW × 30 days × 5 hours/day = 15 kWh
Given, cost of 1 unit = 75 paise
So total expenditure = 75 × 15 = 1125 paise = Rs. 11.25
In the 32nd meeting of GST council held on 10 January 2019, it was decided that the companies with annual turnover up to Rs. ________ lakh will stay out of the GST net.
In the following question, select the odd image form the given alternatives.
Here, all images except image 3 are related to physics.
i.e. image 1 is wavelength
image 2 is Reflection
image 4 is pendulum
whereas, Image 3 is structure of DNA, which is related to biology.
Hence, image 3 is odd one out.
Identify the diagram that best represents the relationship between the given classes.
Judge, Criminal, Thief
A ‘thief’ is a ‘criminal’. A judge is a public officer appointed to decide cases in a law court.
Hence, the relationship between Judge, Criminal, Thief can be represented as given in the below diagram:
Hence, option ‘2’ is the correct answer.
In the following question, select the odd word from the given alternative.
Here Lithium, Potassium and Rubidium are Alkali metals whereas Barium is an Alkaline earth metal.
Thus Barium is the odd word.
A number M is divisible by 25. If (M + 5)(M + 1) is divided by 25, then what will be the remainder?
A number M is divisible by 25 if it ends with 00, 25, 50, or 75.
(M + 5)(M + 1) = M2 + 6M + 5
When a number (x + z) is always divisible by y, the remainder of (x + z) when divided by y will be zero
When M2 + 6M + 5 is divided by 25, the remainder will be due to sum of that.
M is divisible by 25, M2 is also divisible by 25
6M will also be divisible by 25
5 when divided by 25 leaves the remainder of 5
So the sum M2 + 6M + 5 is divided by 25, the remainder will be 5
Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1. If each of them saves Rs. 600 at the end of the year, the annual income of A is:
Given, Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1.
Let the annual incomes of A and B be 5a and 3a respectively.
Now, each of them saves Rs. 600 at the end of the year.
Thus,
⇒ 5a – 600 = 9a – 1800
⇒ 4a = 1200
⇒ a = Rs. 300
Thus, annual income of A = 5a = Rs. 1500
Which compound released from a food processing unit causes water pollution?
Contamination of water bodies cause water pollution, as a result of the human activities. The inorganic contaminants that cause water pollution include ammonia from food processing units, acids by industrial discharges, fertilizers, heavy metals, silt, and more.
Directions: Study the following information carefully and answer the questions given below:
Following are the conditions for admitting a girl to a government’s girls hostel.
The girl must
i) Have a domicile certificate.
ii) Be getting some degree.
Iii) Be at least 16 years and not more than 26 years old as on 17. 01. 2016
iv) Have secured at least 50% in the last academic record.
In the case of the girl who fulfills all the conditions except ______
a) At ii) above, but not getting any degree and has scored at least 65% in the last academic record.
In this case, she should be admitted to the hostel, but has to pay 40% more fees than the others.
b) At iii) above, but from the age group, 27 to 30 years and is getting some degree. In this case, she should be admitted to the hostel, but has to pay 50% more fees than the others.
In each question below, details of one girl are provided. You have to take one of the following courses of action based on the conditions given above and the information provided in each question and mark the number of that course of action as your answer. You are not to assume anything other than the information provided in the question. All these cases are given to you as on 17. 01. 2016.
Now read the information provided in each question and mark your answer accordingly.
Q. Saloni Todi works at KPMG and has applied for the hostel. She has secured 90% in the last academic record and currently not getting any degree. Saloni was born on 13.04.1995 and has a domicile certificate.
Since, Saloni is fulfilling condition a), 40% more fees is to be taken from her.
The electromagnetic wave coming out of the nucleus of a natural radioactive atom is
Radiation Rays coming out of natural radioactive atom:
From the given alternatives find the word which can be formed from the letters used in the given word.
BARRELHOUSE
1) ABODE → the letter D is not present in BARRELHOUSE, so it can’t be formed.
2) HERBAL → it can be formed.
3) REACH → the letter C is not present in BARRELHOUSE, so it can’t be formed.
4) LARGE → the letter G is not present in BARRELHOUSE, so it can’t be formed.
Hence, HERBAL can be formed from the letters used in BARRELHOUSE.
The compound interest on Rs. 20480 at 25/4% p.a. for 2 years 73 days is:
Amount after t years, when interest is compounded annually = P(1+R/100)t
Amount = 20480 = Rs.23409
C.I. = Rs. (23409 - 20480) = Rs. 2929
If tan2y.cosec2x -1 = tan2y, then which of the following is correct -
Given,
tan2ycosec2x - 1 = tan2y
We know that
cosec2x - cot2y = 1
cosec2x = 1 + cot2y
cosec2x = cosec2y
[1+ cot2θ = cosec2 θ)
∴ x = y
∴ x - y = 0
In a certain code language if 'EXPECTED' is written as 'DPCEXETE' then how is 'PRACTICE' written in the same code language?
The logic here is as follows,
Similarly,
Thus PRACTICE is coded as EATCRCIP.
The number of spherical bullets that can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being of 4 cm diameter, is (take π=22/7)
Diameter of each bullet = 4 ⇒ Radius = 2 cm
Here, volume of the cube = Volume of each bullet × total no. of bullets
⇒ 443 = 4/3 × 22/7 × 23 × No.ofbullets
⇒ No. of bullets = 2541
2x + 1/2x = 2 is only possible when 2x = 1
⇒ 2x = 1
⇒ x = ½
Put this in the required equation
⇒ √[2 × {1/(1/2)}4 + {1/(1/2)}5]
⇒ 23 = 8
∴ Value of required expression is 8
If 0 ≤ x ≤ π/2
Then 0 ≤ sinx ≤ 1
0 ≤ cosx ≤ 1
∴ (IV) is always right
sinx increases from 0° to 90° in first quadrant and cosx decreases.
Find the next numbers in the series.
1, 2, 6, 12, 23, 41, ___, ____,
The logic here is as follows,
(1 + 2) + 3 = 6
(2 + 6) + 4 = 12
(6 + 12) + 5 = 23
(12 + 23) + 6 = 41
(23 + 41) + 7 = 71
(41 + 71) + 8 = 120
Thus the next numbers in the series are 71, 120.
In a concave mirror, if the image is formed beyond C (centre of curvature), then what will be the position of the object?
In a concave mirror, if the image is formed beyond its centre of curvature (C), then the object must lie between C and F (focal length). The image so formed is enlarged, real and inverted.
What is that least number that must be added to the product 684 × 686 to make it a perfect square?
684 × 686 = 684 × (684 + 2) = 6842 + 2 × 684
To make it perfect square we should add 1
⇒ 6842 + 2 × 684 × 1 + 12 = (684 + 1)2
So ans is 1.
A man is facing west. He turns 45 degrees in the clockwise direction and then another 180 degrees in the same direction and then 270 degrees in the anticlockwise direction. Find which direction he is facing now?
The man firstly faces the direction OA. On moving 45 degrees clockwise, he faces the direction OB. Now again he moved 180 degrees clockwise, now he will be facing OC. From here he moved 270 degrees anticlockwise. Finally, he is facing OD, which is in South-west direction.
Persons working with phosphorus develop which of the following diseases?
Persons working with phosphorus develop a disease known as Phossy jaw in which jaw bones decay. It is also known as phosphorous necrosis of the jaw.
In a certain code language, ‘good diet is healthy’ is written as ‘3428’, ‘diet is important’ is written as ‘821’, ‘healthy diet makes us strong’ is written as '04256. How is the word ‘important’ coded as?
Thus, ‘important’ is coded as ‘1’.
There are many causes of photophobia, bad lifestyles are the main reason. Vitamin B2 riboflavin deficiency is the main one reason why suffer photophobia.
In a Joint family of 4 males and some female members, all members are working and the average monthly income per head is Rs.21750; while the average monthly income of male members is Rs.24000 per head and for female members, it is Rs.18750 per head. The number of female members in the family is:
According to the given information,
Number of male members = 4
Let the number of female members be y.
We know that, Average = Sum of all observations/Number of observations
The average monthly income of male members is Rs.24000 per head
∴ 24000 = Total monthly income of males/4
⇒ Total monthly income of males = 24000 × 4 = 96000
The average monthly income of female members is Rs.18750 per head
∴ 18750 = Total monthly income of females/y
⇒ Total monthly income of females = 18750y
Now, total average monthly income = (Income of males + Income of females)/(males + females)
⇒ 87000 + 21750y = 96000 + 18750y
⇒ 3000y = 9000
⇒ y = 3
Hence, the number of female members is 3.
Amar started doing work, but left it after 6 days. Chetan completed the remaining work in 8 days. If Chetan alone can do the work in 24 days, how many days would Amar take to complete the remaining work?
1 day's work of Chetan = 1/24
8 days' work of Chetan = 8 × 1/24 = 1/3
Hence, the remaining work that Chetan completed in 8 days = 1/3
⇒ Work done by Amar in 6 days = 1 – 1/3 = 2/3
⇒ 6 days' work of Amar = 2/3
⇒ 1 day's work of Amar = 1/6 × 2/3 = 1/9
This means that Amar would have done the whole work in 9 days.
∴ Amar would have taken (9 – 6 = 3) days to complete the remaining work.
The speed of car M is twice that of car W. If car M covers 120 km in 2 hrs & 30 mins, what is the speed of car W?
Speed of car M = (Distance Travelled)/(Time taken) = 120/2.5 = 48 kmph
∴ Speed of Car W = 48/2 = 24 kmph
Match the following:
Select the correct answer using the codes given below:
Pulses and Nuts are a great source of Thiamin. Sea food gives us Iodine. Bananas have high Iron content. Oranges are a source of Vitamin C.
If by increasing the price of a ticket in the ratio 8 : 11 the number of tickets sold fall in the ratio 23 : 21 then what is the increase (in Rs.) in revenue if revenue before the increase in the price of the ticket was Rs. 36,800?
Let the price of the ticket be 8x and revised price be 11x (Since the ratio given is 8 ∶ 11)
Number of tickets sold be 23y and revised number be 21y,
⇒ Revenue before increase in price = 8x × 23y = 184xy
⇒ Revenue after increase in price = 11x × 21y = 231xy
Given, 184xy = 36800
⇒ xy = 200
⇒ Increased revenue = 231xy = 231 × 200 = Rs. 46200
∴ Increase in revenue = 46200 - 36800 = Rs. 9400
To close the 'Car' we have a 'Door'. Similarly, Jacket has 'Zip' to close it.
Thus 'Jacket' is related to 'Zip'.
How long will a sum of money take to double, if it is invested at 9.09% p.a. simple interest?
SI = PRT/100, A = P + SI
SI = Simple interest, P = Principal, A = Amount, R = rate, T = time
A = 2P
2P = P + (P × 9.09 × T/100)
⇒ P = 9.09PT/100
⇒ T = 100/9.09 ≈ 11 years
Members of which of the following have similar chemical properties?
3 boys and 4 girls can do a piece of work in 4.5 days. Also, 9 boys and 6 girls can do the same work in 2 days. In how many days will 6 boys and 8 girls finish the same work?
Let 1 boy’s 1 day work be ‘x’ and 1 girl’s 1 day work be ‘y’.
Hence, we have,
⇒ 3x + 4y = 1/(4.5)
⇒ 3x + 4y = 2/9 …(1)
Also,
⇒ 9x + 6y = 1/2 …(2)
Multiplying eq. (1) by 3 and subtracting from (2), we get,
⇒ 9x + 6y – 9x – 12y = 1/2– 2/3
⇒ – 6y = –1/6
⇒ y = 1/36
Substituting in (1),
⇒ x = 1/27
⇒ 6 boys and 8 girls 1 day work = 6(1/27) + 8(1/36) = 2/9 + 2/9 = 4/9
∴ 6 boys and 8 girls will finish the same piece of work in 9/4 days.
In the given question, select the related letters from the given alternative.
AD : ZW :: GJ : ?
In alphabetical series, the letters are related as follows,
Thus GJ is related to TQ.
“Misch metal” is widely used in the manufacturing of which of the following?
Misch metal is an alloy of rare-earth elements. Misch metal alloyed with iron is the flint (spark-producing agent) in cigarette lighters. It is also used as a deoxidizer in various alloys and to remove oxygen in vacuum tubes.
Given that,
and
Which one of the following is a Wartime Gallantry Award?
Pimples in the human body are associated with which among the following?
LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.
Only set of numbers that fit all the criteria is 3, 6, and 12
Hence answer is (2)
Who is the author of the book titled 'We are Displaced'?
Which of the following bank/banks will merge with BoB to become the third largest bank in India after the State Bank of India and HDFC Bank in terms of assets?
A shopkeeper bought wheat flour at a price of Rs. 20 per kg. Using faulty weights, he gives only 900 g to a customer instead of 1 kg. If he sells the wheat flour at Rs. 25 per kg, find his profit percentage.
Cost price of wheat flour = Rs. 20 per kg
Selling price of wheat flour = Rs. 25 per kg
Profit percentage due to price = [(25 – 20)/20] × 100 = 25%
He gives 900 g instead of 1 kg ( = 1000 g)
Profit percentage due to false weight = [error/(true weight – error)] × 100 = (100/900) × 100 = 11.1%
∴ Total profit percentage = 25 + 11.1 + (25 × 11.1)/100 = 36.1 + 2.775 = 38.875%
Madhya Pradesh
The Academy which runs the Oscars ceremony has added a new category to honor popular films. The Academy also plans to set an earlier air date for the Oscars in 2020 — February 9 — and will be making that broadcast more “globally accessible.” The award show will also be capped at three hours long.
Oscars 2019 -February 24
Directions: Given are a pair of statements and conclusions. Find the conclusions that follow from the given conclusions.
Statement I: Some keys are locks, some locks are numbers.
Statement II: All numbers are letters, all letters are words.
Conclusion I: Some words are numbers
Conclusion II: Some locks are letters
Given statements can be represented using Venn diagram as follow:
Conclusion I: Some words are numbers ⇒ This is definitely true.
Conclusion II: Some locks are letters ⇒ This is definitely true.
Hence, both conclusions are true.
Directions: In making decisions about important questions, it is desirable to be able to distinguish between Strong arguments and Weak arguments. Strong arguments are those, which are both important and directly related to the question. Weak arguments are those, which are of minor importance and also may not be directly related to the question or may be related to a trivial aspect of the question. The question below is followed by two arguments numbered I and II. You have to decide which of the arguments a strong argument is and which a Weak argument is.
Statement: Should there be only one university throughout India?
Arguments:
I. Yes. It is the only way to bring uniformity in the education system of India.
II. No. Implementing this would not be possible.
It is not possible to have a single university in the whole country and uniformity can be achieved in other ways like following the same syllabus or pattern of questions. Thus only II holds.
A vendor sells 40% of his stock for a particular item and recovers the cost price. If he continues to sell rest of the stock at the same price, what will be his profit percentage after selling the complete stock?
⇒ Given: 40% of SP = 100% of CP
⇒ 1% of SP = 100% / 40% of CP
⇒ 100% of SP = 100% / 40% ⨯ 100% of CP
⇒ 100% of SP = 250% of CP
∴ Profit = SP - CP = (250 - 100)% = 150%
Match the following items of column (A) with column (B).
A certain bank offers 8% rate of compound interest on the 1st year and 9% on the 2nd year in a certain fixed deposit scheme. If Rs. 17,658 is received after investing for 2 years in this scheme, then what was the amount (in Rs) invested?
According to question,
17658 = P(1 + 8/100)(1 + 9/100)
⇒ 17658 = P × 108/100 × 109/100
⇒ P = Rs. 15000
∴ The amount invested = Rs. 15000
If it takes 20 seconds for a train to cross a 60 meters long platform, and a man standing on platform observes that it took 16 seconds for train to cross him. Find the speed of train.
Let the length of train be x meters.
The speed of train be y m/s.
Since, Train is crossing a man, so the distance travelled by train to pass a man is equal to its own length.
Now, as we know that Speed = Distance/Time
∴ y = x/16
⇒ x = 16y
While crossing the platform total distance covered by train would be summation of length of train and length of platform.
∵ Speed = distance/time
∴ y = (x + 60)/20
⇒ 20y = x + 60
⇒ x = 20y – 60
On equating value of x, we get
16y = 20y – 60
⇒ 4y = 60
⇒ y = 15 m/s.
⇒ y = kmph = 54 kmph
Speed of train is 54 kmph.
Which of the following sequence is difference form the rest?
The logic here is as follows,
1) 8, 20, 44, 92, 188
(2 × 2) + 4 = 8
(8 × 2) + 4 = 20
(20 × 2) + 4 = 44
(44 × 2) + 4 = 92
(92 × 2) + 4 = 188
2) 6, 16, 36, 76, 156
(1 × 2) + 4 = 6
(6 × 2) + 4 =16
(16 × 2) + 4 = 36
(36 × 2) + 4 = 76
(76 × 2) + 4 = 156
3) 4, 12, 28, 60, 124
(0 × 2) + 4 = 4
(4 × 2) + 4 =12
(12 × 2) + 4 = 28
(28 × 2) + 4 = 60
(60 × 2) + 4 = 124
4) 7, 22, 67, 202, 607
(2 × 3) + 1 = 7
(7 × 3) + 1 = 22
(22 × 3) + 1 = 67
(67 × 3) + 1 = 202
(202 × 3) + 1 = 607
Thus the odd series is 7, 22, 67, 202, 607.
World Economic Forum was founded in the year ________.
Founded in January 1971 by Klaus Schwab, the World Economic Forum is a non - profit organisation based in Switzerland. The aim of the body is to improve the state of the world by engaging business, political, academic and other leaders of society to discuss and work upon global, regional and industry issues. The forum is best known for its annual international meeting in January in Davos, a mountain resort.
Arrange the given words in the reverse dictionary order and choose the one that comes fourth in the series.
Neutral, Nagged, Narrated, Nominate, Napoleon.
As per the reverse dictionary order,
1) Nominate
2) Neutral
3) Narrated
4) Napoleon
5) Nagged
Hence, ‘Napoleon’ is the fourth word.
Scissor term is associated with which of the following sport?
The animals in which the body cavity is absent are known as _______.
Animals that have a body cavity called a coelom with a complete lining called peritoneum derived from mesoderm (one of the three primary tissue layers) are called Coelomates (also known as eucoelomates - "true coelom"). Contrarily, animals which lack a coelom, like flatworms and tapeworms, are called acoelomates.
Which state's 'Katarni rice' got the Geographical Indication (GI) tag?
Electrical impedance is the measure of the opposition that a circuit presents to a current when a voltage is applied. In general, impedance will be a complex number, with the same units as resistance, for which the SI unit is the ohm (Ω).
Stress is defined as the force per unit area of a material. i.e.
Stress = force/cross sectional area:
where, sigma (σ)= stress, F= force applied, and A = cross sectional area of the object.
Units of stress : Nm-2 or Pa.
Refer the below data table and answer the following question :
Q. What was the total profit or loss of the company in the last 5 years?
Total profit = Rs. (5 + 15) crore = Rs. 20 crore.
Total loss = Rs. (15 + 15 + 10) crore = Rs. 40 crore.
∴ The net loss = Rs. 40 - 20 crore = Rs. 20 crore.
If 4 * 7 * 6 = 698 and 3 * 5 * 0 = 572, then 6 * 2 * 1 = ?
In 4 * 7 * 6 = 698
The pattern followed here is,
4 + 2 = 6
7 + 2 = 9
6 + 2 = 8
In 3 * 5 * 0 = 572
3 + 2 = 5
5 + 2 = 7
0 + 2 = 2
Similarly, then adding 2 to each number 6 * 2 * 1
6 + 2 = 8
2 + 2 = 4
1 + 2 = 3
Therefore, “843” is correct answer.
A, B, and C are three points on a circle. The tangent AT meets the extended chord BC at T such that ∠BTA = 44°, ∠ABC = ∠CAT = 40°. The angle subtended by BC at the center of the circle is -
⇒ Given: ∠CAT = 40° and ∠CTA = 44°
⇒ We have ∠CAT = ∠ABC = 40° (alternate segment of the circle)
⇒ Again, ∠BCA = ∠CAT + ∠CTA = 40° + 44° = 84° (exterior angle of a triangle)
⇒ Now , In ∆ABC,
⇒ ∠ABC + ∠BCA + ∠CAB = 180°
⇒ 40° + 84° + ∠CAB = 180°
⇒ ∠CAB = 56°
⇒ Again ∠BOC = 2∠CAB = 2 × 56° = 112° (angle subtended by a chord on the center is double to the angle subtended on the circle)
The Second Ozone hole was detected over the Arctic.
The angle of depression from 100-meter tower to the top and bottom of a house is 30° and 60° respectively. What is the height of the house?
Let AB = h
In ΔBCE
BC = (100 - h) × √3
What is the unit of measurement of the Air Quality Index?
The Air Quality Index is measured in ppm or parts per million. It is the ratio of the pollutant to a million parts of atmospheric air. An air quality index is a number used by government agencies to communicate to the public how polluted the air currently is or how polluted it is forecast to become in future.
When the price of sugar decreased by 10%, a man could buy 1 kg more for Rs. 270. Then, the original price of sugar per kg is
Let the original price of the sugar per kg be Rs. X. Let the quantity of sugar purchased initially be Y units in Rs. 270.
Thus, X × Y = 270 ….(1)
Given: Price of sugar decreased by 10%.
∴New price of sugar per Kg =
= 0.9X
Since the man could buy 1 more kg on his reduction of price, hence
⇒ Quantity of sugar purchased = Y + 1
As the total expenditure remains the same i.e. Rs. 270, therefore
⇒ 0.9X × (Y + 1) = 270 …(2)
Dividing equation (1) by (2), we get
⇒ Y = 0.9Y + 0.9
⇒ Y = 9 units
∴ From equation (1) we get, X = Rs. 30
Black soil is also called Regur soil. It is black in colour and ideal for growing cotton. This type of soil is typical of the Deccan trap (Basalt) region spread over North - West Deccan plateau and is made up of lava flows.
Who among the following is a ruler in the Delhi Sultanate during whose reign there was a Mongolian Invasion in India?
With which of the following is 'Van Mahotsav' associated?
Van Mahotsav is an annual tree - planting movement in India, which began in 1950. The name Van Mahotsava means Festival of forest. It was started by K.M. Munshi.
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