GATE Aptitude Questions | GATE Aptitude

Hear If you Observer
-->The 'Company’ is singular, so ‘uses’
--> The ‘strategies’ is plural, so ‘include’
Finally
The company uses, the strategies include.

The boat arrived at dawn. The use of “at” is the correct collocation. Mainly enables the best option for expressing location as well as arrival at particular place or position

The Correct Answer Among All the Options is 6
As the positions of book R & S are fixed at firts and second from right.
So The books P, Q and T can be arranged in Three possible places
So,Total Total Possible Arrangements will be 3! = 6 ways

The Correct Answer Among All the Options is D
When we don't know something, we draw speculation, thought, or imagination.
concluded, looked at, noticed, etc. these words are confirmation words. So the only word relating to imagination is picturising
So When he did not come home, she pictured him lying dead on the roadside somewhere.

The Correct Answer Among All the Options is C 30.43
Let the total population in 2001 and 2011 be 100 each
According to the Graph
Male literates Percentage in 2011=100−40=60% = 0.6
Male literates Percentage in 2001=100−50=50% = 0.5
female literates Percentage in 2011=100−40=60% = 0.6
Female literates Percentage in 2001=100−60=40% = 0.4
Take total population as x
Hear According to the Question X value will be same in both 2001 and 2011
N.O of literates in 2011= (0.5 × 0.6 × X ) + (0.5 × 0.6 × X) = 0.6X
N.O of literates in 2001 =(0.6 × 0.5 × X) + (0.4 × 0.4 × X) = 0.46X

Percentage increase in total number of literates
= ((0.6X − 0.46X) / 0.46X) × 100%
= 700/23
= 30.43

we can see starting of the paragraph that the Indian history written by British historians was extremely well documented and researched and later it is intended to say that it was sometimes biased. The sentence ‘but not always impartial’ implies that it was sometimes biased.
Other choices are irrelevant
So option (C) can be interfered from given passage.

P and Q started working from 8 A.M for a client
Total budget given = 3000 USD

P worked exactly 7 hours but took 30 min break
‘P’ working number of hours = 7 hrs - 15 mins - 15 mins = 6.5 hrs

‘Q’ worked exactly 8 hours but took 20 min break.
‘Q’ working number of hours = 7 hrs 40 mins = (7 + 2/3) hrs = 7.67 hrs

Total time that P and Q worked for = (6.5 + 7.67) hrs = 14.167 hrs

Client paying for both P and Q = USD 200/hr

After paying the consultants P and Q, the client shall have USD remaining in the budget
=3000-2834
= 166.67

In this Question They are asking about Current Location of the People
P and Q are in same office
R and T are in same office and it is adjacent to S office

Option A is Eliminated because T has not yet been promoted to the big office beside garden
Option B is Eliminated because no one is sharing
Option C is also Eliminated because R and T are not sharing the office
"R, who is currently sharing an office with T" This is happening only in option D. So, Option D is correct one

The given sentence means sharp tongue can cause her problem. So, "vital" and "methodical" (systematic) are not correct as they are positive words. "left" does not suit the meaning here. "hurtful" fits the sentence perfectly.
Hence, the correct option is (A).

Conditional tense Type 3 – Past perfect (could have) + perfect conditional (had + V3)
Hence, the correct option is (A).

40% of 360^o = (40/100) * 360^o =144^o
Therefore Number of degrees needed to represent, 40% in a pie chart is 144^o

The series 1, 1/4, 1/16, 1/64,… forms a geometric progression (GP). Since it is a decreasing GP, the sum of infinite number of terms in it can be determined. Let the sum be ‘S’. We thus have to evaluate value of S.
S=1+1/4+1/16+1/64+… (1)
S/4=1/4+1/16+1/64+… (2)
Subtract (2) from (1) by shifting one term in (2) so that common terms in (1) and (2) get cancelled. We get S - (S/4)=1 as all common terms get cancelled.
So, (3/4)S=1. So, S=4/3

->Piece means ‘slice’
->Peace means ‘silence’.

Option A is Correct
Even though there is a vast scope for its improvement, tourism has remained a neglected area.
Meaning: Tourism can be improved but it has been neglected

Sum of digits in number is divisible by 3 then that number will be divisible by 3.
Here except ?, 7+1+5+4+2+3= 22
Now add smallest whole number into sum that will make it divisible by 3.
22+2=24 which is completely divisible by 3.
So Answer is 2.

Leila should deposit Rs. 6,20,921.32
In case of compounded rate of interest
  A=P(1+R)t
A= Amount (cost  of car) = 10,00,000 Rs
P= Principal amount (to be calculated)
T= Time period = 5 years
R= annual rate of interest =10% (given )
We are required to calculate Principal amount P.
  10,00,000=P(1+R)5
10,00,000=P(1+0.1)5
10,00,000=P(1.1)5
10,00,000=P(1.61051)
P=10,00,000/1.61051
P= 620921.32 = 6,21,000[Approximately]
Leila should deposit Rs. 6,20,921.32 to get Rs. 10,00,000/- in a period of 5 year at compounding  rate of interest 10%
Finally Answer will be
P= 620921.32 = 6,21,000[Approximately]

(A) The culture and tradition of the local people will be influenced by the tourists.
There is no information about the culture and tradition of local people.
No such information given that supports this option.
So, this option is discarded.

(B) The region will become crowded and polluted due to tourism.
suggests only one part of the paragraph.
So, this option is discarded.

(C) The coral reefs are on the decline and could soon vanish.
There is no information about declination of the coral reefs given in paragraph
So, this option is also discarded.

(D) Helicopter connectivity would lead to an increase in tourists coming to the region. This option can be logically inferred from the above paragraph
option (D) suggests helicopter as the connectivity means which is the crux of the paragraph.

Option (D) Correct Answer

Statement (i) is not true as nowhere it is mentioned that John being a Captain at Junior level.Even as a junior cricketer, John was considered a good captain : It means that there is no provision to make senior cricketer as captain, so it is not appropriate.

Statement (ii) can be concluded from the paragraph as the last line suggests.Finding a good captain is challenging : Given that to select a good captain is difficult which concluded it is relevant to the statement.

Statement (iii) cannot be concluded from the given information as qualities seeked by selectors can be concluded but similar cannot be said about opinion of fans and viewers.

Statement (iv) can be concluded from the part in paragraph mentioning about last 3 seasons of John.Over the past three seasons, John is scoring big scores : It concluded the performance of captain, so it is relevant to the passage.

Option (C) is correct

‘Respectively’ means in the same order as the people or things already mentioned
The ninth and the tenth of this month are Monday and Tuesday respectively.

‘Respectively’ means in the same order as the people or things already mentioned
The ninth and the tenth of this month are Monday and Tuesday respectively.

It is a comparative degree, so the right option is (A)
It is easier to read this year’s textbook than the last year’s.

In this question the rule states that "in order to drink beer the person must be over 18 years of age". So we will consider the following options according to the rule:

For P it is given that his/her age is 16 years and since he/she is below 18 years of age, they cannot have beer so we have to check P's drink to see if the rule is followed.

For Q it is given that his/her age is 25 years and the rule states nothing about what anyone above 18 years cannot drink therefore there is no restriction on him/her. We do not need to check his/her drink.

For R it is given that he/she is having a milkshake. Now for milkshake also the rule puts no restriction therefore there is no need to check his/her age.

and finally for S it is given that he/she is having a beer and now since the rule clearly states that if anyone is having beer then he/she must be over 18 years of age therefore we need to check S's age.

So the correct option is Option B) We need to check P's drink and S's age

Method 1
There are 500 students in total.
Only Chemistry:  329 - ( 217 + 83 ) = 29
Only Mathematics :  295 - ( 217 + 63 ) = 15
Only Physics : 186 - ( 83 + 63 ) = 40
Finally :
500 - ( 29 + 15 + 40 + 83 + 63 + 217 ) = 500 - 447 = 53 students.

Method 2
Total number of students 
=n(P)+n(C)+n(M)−n(P∩C)−n(P∩M)−n(C∩M)+n(P∩C∩M)
⟹500=329+295+186−217−83−63+x
=>x=53.

The key sentence is "I lived too near the seat of events"
An intimate association offer impartial perspesctive
Author states that he was too intimately associated with the actor to set the perspective needed fro impartial recording

Source : StackExchange
We have total 900 three digit numbers from 100-999.

We have numbers in which 1 is immediate right to 2 are 210-219, 121, 221, 321, 421, 521, 621, 721, 821, 921.

So we have numbers in which 1 is never immediate right of 2 = 900 - 19 = 881 numbers

Form the given Locations and contour lines
Path from P to Q = 575 to 500 = 75 m deep
Path from P to R = 575 to 425 = 150 m deep
Path from P to S = 575 to 525 = 25 m deep
Path from P to T = 575 to 525 = 25 m deep
Therefore P to R is the steepest path 62 among all the paths

An adjective can exist in three forms – positive, comparative and superlative. The positive form is the base form of the adjective. The comparative form expresses a higher degree of some quality. The superlative form expresses the highest degree. 
Rules for superlative degree -
  https://www.englishgrammar.org/positive-comparative-superlative-degrees/
Here, Mount Everest is the highest peak in the world. Option (A) is correct.

1. Loose means not firmly or tightly hold .
2. Lose means something lost in past .
3. Loss is present form of lose.
4. Louse means spoil or ruin something.

The policeman asked the victim of a theft, "What did you Lose ".

‘effectiveness’ is noun and ‘prescribed’ is verb. These words are apt and befitting with the word ‘medicine.’
Despite the new medicine's effectiveness in treating diabetes, it is not prescribed widely.

Given
Total fruits → 5692000
Unripe(15%) → 853800
Ripe (85%) → 4838200

Unripe(15%)
Apples(45%) → 384210
Orange → Don′t care

Ripe (85%)
Apples (34%) → 1644988
Orange → Don′t care

Therefore Total Apples = 384210 + 1644988 = 2029198

Probability of being infected=0.5
Probability of developing disease=0.3
Only when a person develops disease he will show symptoms of it and whenever a disease is developed we can expect symptoms to be shown.
So, Probability of not showing symptoms=1−0.3=0.7
Probability of being infected and not showing any symptoms=0.5×0.7=0.35

(or)

P(infected)=0.5,
P(No.of disease / Infected) = 0.7×0.5=0.35

The words ‘was confident that they would reciprocate’ and ‘last week proved him wrong’ lead to statements iii and iv as logically valid inferences.
Only iii and iv statements can be inferred. Option B.

From given data, the following arrangement is possible Shiva Leela Pavithra Among four alternatives.
Shiva > Leela >Pavithra
Pavithra is the youngest.
Option D.

Given

Q's one hour work =
R's one hour work =
Since Q has taken 2 days sick leave, he has worked only 5 days on the end of seventh day.
Work completed by Q on 7^th day= (5x12)
Work completed by R on 7^th day=(7x18)
Ratio of their work
=

There is no such word as momento ,memento is spelled as "momento "
As Token would be a gift, hence option B would be correct answer.

Frogs make ‘croak’ sound.

Educe means to bring out or develop. So according to that option C would be correct

Educe: verb (used with object), educed, educing.

1. to draw forth or bring out, as something potential or latent; elicit; develop.

2. to infer or deduce.
http://www.dictionary.com/browse/educe

Most appropriate to this is extract like we extract the meaning of something (infer)

Contribute your Solution  Hear

Following standard grammatical rules, only Option A would satisfy the above statement.
Tuberculosis, together with its effects,
A) ranks as one of the leading causes of death

http://dictionary.cambridge.org/dictionary/english/rank

After reading the above paragraph, only option B would be the correct answer.

 human security largely depends upon environmental security. But on the
contrary, human progress seems contradictory to environmental security

Middle number is the average of the numbers on both sides.(Left and Right)
Average of 6 and 4 is 5
Average of (7+4) and (2+1) is 7
Average of (1+9+2) and (1+2+1) is 8
Average of (4+1) and (2+3) is 5
Therefore, Average of (3) and (3) is 3

Total number of cubes = 9×3 = 27
∴Total number of faces = 27×6 = 162
∴Total number of non-visible faces = 162 - 54 = 108

According to the above given passage The wall sometimes breaks. Sometimes it wont break. So Humpty Dumpty does not fall sometimes, while having lunch. This can be inferred. hence option B would be correct answer.

Tall is the term used for height
In degrees of comparison Mr. X is taller than Mr. Y is apt.
Positive degree – tall
Comparative degree – taller
Superlative degree – tallest

1. Facilitated: to make easier or less difficult; help forward (an action, a process, etc.)
2. Felicitated: to compliment upon a happy event; congratulate.
3. Fantasized: to create in one's fancy, daydreams, or the like; imagine
4. Facillitated: incorrect word

The student’s felicitated the teacher on teachers' day for twenty years of dedicated teaching

The phrasal verb "rest is history" means that the later part of the story is well known

Take square on both side, we get

9 inches = 0.25 yards

Why not option (A) ?

Let me give you an example

(3m)²=9m²

It means that if number gets squared then the units also get squared. Above is an example of a square having side 3m, the area of this square would be 9m².

Similarly,

(9 m)^½ = 3 m^½

Hence, if I have

(9 inches)^½ = (0.25 yards)^½

If I take the square root, then we get

3 inches^½ = 0.5 yards^½

and not 3 inches = 0.5 yards

So option (A) is wrong

Let the efficiency of M = 2 [ efficiency of S, E, and F]
The amount of work done by M in the project = x days × 6 hrs. ×2
The amount of work done by M in the project = 2x days × 12 hrs. ×1
The amount of work done by M: The amount of work done by M
x × 6 × 2 : 2x × 12 × 1
1 : 2 so option(b) is correct

‘M’ works with twice efficiency as E but worked for half as many days. So in this repsect they will do equal work if their shifts would have been for same timings. But M’s shift is for hrs, while E’s shift for 12 hrs. Hence E will do twice the work as M. Ratio of contribution of M : E in work, 1 : 2

From Venn diagram
= no of persons reading books =13 +44 +12 +7 = 76
= no of persons playing sports=15 + 44 + 7 +17 = 83
=51
=76+83-51=108

Another Approach
Number of students who like to read books or play sports will be the sum of students who belong to both sets
= 13 + 12 + 44 + 7 + 17 + 15 = 108.

Statement III is wrong as their is no mention in passage about promotion of colonialism always , only mention their interest to increase it further. "conventional ways of Knowledge production have become obsolete." this line supports statement (i) . but option B is false due to statement III .

and Statement IV are false clearly, not related to the passage. That makes option C and D false.

"Social science disciplines were in existence in an amorphous form( means without any clear form ) until the colonial period " this statement directly say Social science disciplines had a pre-colonial origin. which makes option A correct.
So, option(A) is correct

Sentence A is grammatically correct, but logically problematic. This is because A compares two unalike things: the price of the apple, and the onion itself. A price cannot be greater than an onion.

It would be correct to say "The price of an apple is greater than the price of an onion." (As you've noted, sentence C is correct, and is basically an abbreviation of the preceding sentence with "that of" used instead of "the price of" to avoid repetition.) You would use "greater than an onion" in a sentence like "An apple is greater than an onion," although this sentence is still not very good since the word "greater" isn't precise in this context. It's actually not uncommon for native speakers to produce sentences like A, and some of them might have trouble noticing what's wrong with it, but it is formally considered incorrect for the reasons I gave above.

You should be able to tell B is wrong because "onion" is in singular form, but has no article before it. While "onion" can probably be used as a mass noun in some cases (such as "Don't put too much onion in the salad"*), it doesn't make sense to compare a single apple to an unspecified mass of onion (or to compare their respective prices).

And D is definitely wrong. Though ...more costly than an onion would be fine

Grasping means clutching or holding something tightly.

Q and R are the son and Daughter of M, E is the mother of P and daughter-in-law of M Means Q and E are married couples in the family
∴ P is the grandchild of M

18²=324
21²=441
8²=64
X² != 97
All the above are perfect squares but 97 is a prime number.

The odometer reading increases from starting point to end because odometer measures distance not displacement.
So, all the areas should be counted postive only.
Area of the given diagram = Odometer reading
Area of the velocity and time graph per second
1^st sec triangle = 1/2 * 1 * 1= 1/2
2^nd sec square = 1 × 1 = 1
3^rd sec square + triangle = 1 × 1 + 1/2 × 1 × 1 = 3/2
4^th sec triangle =1/2 * 1 * 2 = 1
5^th sec straight line = 0
6^th sec triangle = 1/2 * 1 * 1 = 1/2
7^th sec triangle = 1/2 * 1 * 1 = 1/2
Total Odometer reading at 7 seconds = 1/2 + 1 + 3/2 + 1 + 0 + 1/2 + 1/2 = 5m

Let Sravan s, Manu M, Pavan P , Trideep T
Manu is two months older than Sravan M = 2+S
Sravan, is three months younger than Trideep T =3+S=M+1
Pavan is one month older than Sravan P=1+S=M−1=T−2
From this Trideep age > Man> Pavan > Sravan
∴ Trideep can occupy the extra space in the flat

The equation of a line is
y = mx + c where m is the slope & c is the y-intercept
Now, In this question x is replaced with lnx
So, the equation of line becomes,
y = mlnx + c
or, y = -0.02lnx + c
We have given with abscissa which is essentially x-intercept. So, now we have to find ‘c’ the y-intercept.
for, y=0, lnx = 0.1 (given in the question)
Putting the value,
0 = -0.02×0.1 + c
or, c = 0.002
So, the equation of line becomes,
y = -0.02lnx + 0.002
putting x = 5 (asked in the question)
y = -0.002ln5 + 0.002 = -0.002×1.6 + 0.002 = -0.03
(ln5 = 1.6)

Given Sentence is in past tense and to talk about something previous which already happened, We need past perfect tense
“should have practiced” is the correct choice.

Refer: https://examples.yourdictionary.com/examples-of-connotative-words.html

1. Pertinacious  :  persistent
2. Viaticum  :  travel allowance for a journey Word origin of 'viaticum': from Latin, from viāticus belonging to a journey, from viāre to travel, from via way
3. Clandestine : kept secret
4. Ravenous : extremely hungry

• Denotation : defined meaning
• Connotation : feelings associated or inner meaning

Viaticum is the most relevant word.

Let us is followed by a verb.
Only ‘alternate’ is verb while all other are noun.

For whole numbers, greater the value greater will be its log value.
Same logic for power of e.

Option (A) would be the correct answer. because The objective pronoun of I is me.
Options (B) and (C) are false because "I" is incorrect usage as object, it should be "me"
Option (D) is incorrect because the secret is between them and not solely with Ram so its contradicting with the original statement.

The correct order will be 5−2−4−3.
Only this sequence makes sensible paragraph.

Second sentence says that Ms. X reaches Kochi on 21/05/2014. Also she has to be in Bagdogora on 22/05/2014.
Therefore, She stays in Kochi for only one day in may.

Misogyny means dislike of, contempt for, or ingrained prejudice against women. It's adverb form is Misogynously
Misogynous is the hatred or dislike of women or girls.

Words joined to a singular subject by AS WELL AS, WITH takes a singular verb. So The most appropriate word out of given is 'was'. Because this sentence is singular.

Awkward means unsuitable and is a synonym for inept.
Dreadful is not suitable here as it means horrible and is more negative than "awkward".
Graceful and suitable are positive words and hence not applicable.
So,Among all the options Inept is the word whose meaning is similar to Awkward.

Both the conclusions follow. You can verify it by drawing venn diagram representation.

I. All film directors are playback singers ----- correct.
II. Some film stars film directors ----- correct.

From first line in para its clear that schools are giving less importance to arts education. hence (iv)

However, no such increase has been announced in this year's Budget.

From this line we can infer that artists are expected funding for arts to increase this year.

From The Question

• A tiger is 50 leaps of its own from a deer.
• Tiger takes 5 leaps per minute.
• Deer takes 4 leaps per minute.
• Tiger covers 8 meters per leap.
• Deer covers 5 meters per leap.

Therefore, the tiger covers 5*8 = 40 meters/minute.
The deer covers 4*5 = 20 meters/minute.
Hence, the relative speed is 20 meters/minute.
The tiger is behind the deer by 50*8 = 400 meters.
Therefore, the time taken = distance/speed = 400/20 = 20 minutes.
Therefore, in the 20 minutes, the tiger will cover 20*40 = 800 meters.

In Q part, 'The' is not required.

As the sentence is talking about past
From the given options, option C would be correct answer.

“Was” is used to denote the past continuous form. This form is used to refer to some action which was going on at some time in the past. The time of the action may or may not be indicated. For example, “She was going to the market.” This example is without a time frame, but we can also write “She was going to the market in the evening.” Here the time frame has been used.

Source : http://www.differencebetween.net/language/difference-between-has-been-and-was/#ixzz6OaTcikX9

If all women are entreprenuers and some are doctors then obviously some entrepreneurs are doctors.
PS: In the first statement if we replace "All" by "Some", then none of the options is true.

Impel- drive to do something
Dispel – make (a doubt, feeling, or belief) disappear. दूर करना
Propel- drive something forward
Repel- drive away

Average only gives the mean value, Standard Deviation gives how close to mean value (consistency) of a sample population distribution.
A standard deviation close to 0 means very close to mean value of a distribution.
Here K has the lowest SD (5.21)

Annual income (Male Residents)<10 L - Form P
Annual income (Female Residents) < 8L - Form Q
People ( Except NRI's) > 10 L - Form R
NRI's with income > 15 L - Form S
Others - T

A) A resident male with annual income Rs 9 lakh
Defined under first category i.e. Form P.
C) A non-resident male with annual income Rs 16 lakh
D) A non-resident female with annual income Rs 16 lakh
Both C and D fall under the category of Form S.

B) Resident female in between 8 to 10 lakhs haven’t been mentioned.So a resident female with annual income Rs 9 lakh should fill Form T.

The train with length 280m passes by a man standing on platform in 20s.
The speed of train is V = 280/20 = 14m/s
Let the length of platform be L
(L + 280 )/60 = 14
L + 280 = 60×14
L = 840 - 280
L = 560 metres

Formula according to question -> (Import - Export)/Export
now we have to have solve for 1/5 which matches in 2006

This problem is an application of bayes' theorem.
This theorem shold be applied when the outcome is already determined .

for more info refer to the following link
http://mathforum.org/library/drmath/view/56622.html

so in the problem we need to calculate all possible ways a head could show up.

we have HH TH TT
probability of head showing up on the first coin is chance of first coin getting picked * chance of head showing up = 1/3 * 1 = 1/3

simlarly for the 2nd coin the probablility is 1/3 *1/2

for the 3rd since it doesnt have a head we dont really care

now to calculate the prob that the head came from the 2 nd coin applying bayes theorem
p(H) = 1/3(1/2) / 1/3 + 1/3(1/2) = 1/3

Interpersonal skills are the skills we use every day when we communicate and interact with other people, both individually and in groups. They include a wide range of skills, but particularly communication skills such as listening and effective speaking. They also include the ability to control and manage your emotions.

Refer : https://www.skillsyouneed.com/interpersonal-skills.html

She will feel much better if she gets some rest.

If clause (condition) - If + simple present - if she gets some rest

Main clause (result) - simple future - She will feel much better

As in all conditional sentences, the order of the clauses is not fixed. You may have to rearrange the pronouns and adjust punctuation when you change the order of the clauses, but the meaning is identical.

Refer : http://www.ef.com/english-resources/english-grammar/type-1-conditional/

Option (C) is correct

Lose – be deprived of or cease to have. हार

Loose – not firmly or tightly fixed in place. ढीला

Bear -(of a person) carry. उठाना
Bear also means भालू – an animal, but that is not meant here Bear means to carry (in this context)

Bare – (of a person or part of the body) not clothed or covered. नंगा

For a very large number of throws, the frequency should be same for unbiased throw. As it not same, then the die is baised.

Here in each option
1st letter and 2nd letter difference = 6 letters
2nd and 3rd letter diff =3 letters
3rd and 4th letter diff =2 letters  

So, Ans is (C)

According to the Question "On every step of ladder there are 2 bulbs".

"If one is Red other must be Blue". 1 pair possible = (R,B)
"If one is Green other must be Yellow". other pair of lights possible = (G,Y)

So, from the above statements, we can conclude that there will be no pair as (G,B) or (G,R) or (R,Y). But, the pair (Y,B) is a possible combination of lights in one of the ladder.

If we consider that there are 3 steps in ladder as (G,Y) , (B,Y) and (B,Y).
NONE OF THE ABOVE OPTION MATCHES (Official key was D though)

The sum of 8 consecutive odd numbers is 656
=>Average of the 8 odd numbers = 656/8 = 82

the odd numbers immediately preceding and succeeding 82 are 81 are 83 respectively and these will be the middle numbers.
Therefore, we see that 4th and 5th odd numbers are 81 and 83 respectively.

Thus we can easily obtain the odd numbers as 75, 77, 79, 81, 83, 85, 87, 89 and smallest odd number as 75

the average of four consecutive even numbers is 87
As seen earlier, 86 and 88 will be 2nd and 3rd even numbers.
i.e., 84, 86, 88 and 90 will be the even numbers and the second largest even number is 88

Therefore required sum is 75 + 88 = 163

Lets say capacity of tank is 1 litre
draining rate= 0.5litre/30minutes= 1/60 litre/min
let filling rate = x litre/min
in 1 min tank gets x-(1/60) litre filled.
to fill the remaining half part we need 10mins
x-1/60 litre --> 1min
0.5 litre ---> 10 mins
0.5/(x-1/60) = 10
solving, we get x= 4/60
which is 4 times more than draining rate.

Heritage and Diversity are mainly for difference in language or culture

Depreciated meaning diminish in value over a period of time.
Depreciated = came down

Guidance or recommendations offered with regard to prudent future action.
"my advice is to see your doctor"
Advise is a verb meaning “to give counsel to; offer an opinion or suggestion as worth following.” Advice is a noun meaning “an opinion or recommendation offered as a guide to action, conduct, etc.”

Each number is just 2/3 of the previous number:
81 x 2/3 = 54
54 x 2/3 = 36
36 x 2/3 = 24
Therefore,
24 x 2/3 = 16

As P=A
and A < R and R < M
=> A < M
=> P < M

If A→Z alphabet correspond to 1→26 numbers, we have

7G - G is the 7th alphabet
11K - K is the 11th alphabet
13M - M is the 13th alphabet

G=7, K=11, M=13

Similarly, Q=17

(B) is the only option which is correct.

The given pie chart is about population of animals, not about size of animals
So, (iv) is not true
(i) is true as butterfly comes under the pie birds.
(ii) is true as the pie chart portion of tigers is more than that of red ants.
(iii) is true as the pie portion corresponding to reptiles consists of only snakes and crocodiles.
(iv) statement cannot be inferred from the pie chart

Speed of man (m)= 8km/h
Let the speed of stream be s

According to the question:
Speed of man upstream =S₁=m−s
Speed of man downstream =S₂=m+s

Speed = Distance/Time
Here, since the distance D is same

D=S₁×T₁
D=S₂×T₂

S₁×T₁=S₂×T₂

S₁/S₂=T₂/T₁=3

m+s=3(m−s)

or, 8+s=3(8−s)

⟹s=4km/h

Probability for one bulb to be non defective is
∴ Probabilities that none of the bulbs is defectives
Binomial Problem with n = 4 and p(not defective) = 0.95
P(x = 4 non defective) = 0.95*4 = 0.8145

• Dissent         - disagree
• Descent        - going down
• Decent          - conforming to acceptable standard
• Decadent      -  corrupt

Revert means to get back.
'Please revert!’ He expects me to get back to him

Vindicate has 2 meanings
1) Clear of blain
2) Substantiate, justify

Vindicated – show or prove to be right, reasonable, or justified. पुष्टि

If A→Z alphabet correspond to 1→26 numbers, we have
13^th alphabet M
17^th alphabet Q
19^th alphabet S
23^th alphabet W
Only option(C) which is correct.

Remove the Vowels and Read from backward

Best of luck
Reverse order without vowels: KCLFTSB

Good Wishes
Reverse order without vowels: SHSWDG

Ace the exam
Reverse order without vowels: MXHTC

Assume that any digit is in fixed position, then the remaining four digits can be arranged in 4! = 24 ways.
So, each of the 5 digit will appear in each of the five places 24 times. So, the sum of the digits in each position is 24(1+3+5+7+9) = 600
The sum of all such numbers will be 600(1 + 10 + 100 + 1000 + 10000) = 6666600

According to Subject Verb Concord rules of English Language, we use a Plural Verb in case of addition, and in case of multiplication, a Singular Verb is to be used.
Eg:
4 times 2 makes 8.(multiplication)
4 and 4 make 8.(addition)
Therefore, two and two make four. (Addition)
2 multiplied by 2 also gives 4, and herein lies the trick of the question. It is safer to use make because the addition is more popular of an example.

You can always give me a ring whenever you need. Because a friend is need is a friend indeed
This means that I am always available if you need any help.

Let the temperature on Monday, Tuesday, Wednesday and Thursday be respectively as T_M, T_TU, T_W, T_TH,
So, from the given data we have
The mean temperature of Monday to Wednesday was 41^oC => (M+T+W)/3 = 41
...(1)
The mean temperature of Tuesday to Thursday was 43^oC=> (T+W+Th)/3 = 43
and ...(2)
Also, as the temperature on Thursday was 15% higher than that of Monday
i.e., …(3)
After Solving The above equations (1), (2) and (3) we obtain

Hence correct option is C.