SSC CHSL Previous Paper 53 (Held On: 26 March 2018 Shift 1) (Previous Year Paper)

The correctly spelt word is impersonators. It means a person who pretends to be someone else for fraud or entertainment.

Example : He is a famous Jackie Chan impersonator.

Thus, the correct answer is option 3.

We need to contrast something with something else. So, we can have A as the first part of the sequence. ‘Contrast this with the attitude of the general…’ seems logically correct. Now, the next question arises : attitude of whom? Part B gives the answer and hence it can follow A. C can form the ending part of the sentence.

Contrast this with the attitude of the general public in the advanced countries towards senior citizens

Thus, the correct sequence is ABC, making option 1 the correct answer.

The subject here is we which is plural. So, is/was is incorrect which points towards the need to improve the sentence. Also, we can eliminate option 1 based on the same reason.

The correct form of verb to be used is its past participle. ‘We were amused…’ is correct and not ‘We were amusing…’ because the sentence tells us they were entertained / delighted by the number of channels (and not they were entertaining by the number of channels)

Thus, the correct answer is option 2.

We, on the other hand, were amused by the number of channels it had to offer.

The sentence uses the phrase at that time which means that the first part of the sentence deals with something in the past. ‘The news had appeared …’seems correct. Have / is cannot be used since the tense is not present.

Thus, no improvement is required, making option 4 the correct answer.

Let us look into the meaning of the given words:

Narcoleptic – marked by a neurological disorder that affects the control of sleep-wake cycles

Invigorate – to make someone feel more energetic, fresher and healthier

Prostrate – lying flat with the face down and arms stretched out, especially as a sign of respect

Exasperate – to  make someone annoyed or frustrated

Therefore, the correct answer is option 2.

Let us look into the meaning of the given words:

Woe – great sorrow or sadness

Nirvana – a state of freedom in which one is free from suffering and desires.

Depression – a mood disorder marked by low mood and feeling of sadness

Despondency – unhappy with no hope (similar to depression)

Thus, the correct answer is option 2. (Here, transcendent means higher / superior)

‘As high as a kite’ means to be greatly excited or affected by alcohol / drugs.

Example : after the party, I was as high as a kite.

Therefore, the correct answer is option 1. (intoxicated means to lose control especially because of consumption of alcohol)

The meaning of the phrase pull the plug means to prevent an activity from continuing; to put a stop to something. 

Example : The agency pulled the plug on this deal.

Thus, the correct answer is option 3.

‘A’/ ‘An’ are articles used for singular nouns. We use ‘a’ in front of consonant sounds and ‘an’ before vowel sounds.

In English alphabets, A ,E, I, O and U are vowels and the rest are consonants.

Examples : She is eating an apple.

A boy came to meet me.

In the given sentence, advertisement starts with a vowel sound. So, an will be the most appropriate choice. (We cannot use the here as we are not referring to a specific advertisement but a general one)

Thus, the correct answer is option 2.

Here, the correct word is no. ‘No salesman can sell anything unless…’ is grammatically correct.

Neither is generally used to make negative statements when we refer to two things. None is used when referring to more than two things.

Neither of his two brothers came to meet the professor.

None of his friends were able to help him.

As the blank is not followed by the preposition of, we cannot use none. No is the most appropriate choice (No is followed by a noun – here salesman is the noun)

Thus, the correct answer is option 4.

Than is used to make comparisons.

She is more understanding than I am.

He has more friends than I have.

Then is used when we are talking about time (to mean at that time)

I was  busy then.

It can also be used to indicate the next action in order.

We will deal with your problem and then we will head out for dinner.

In the given question, the sentence is making a comparison. So, we need to use than and not then.

…is infinitely more than that, it is the basis…

Thus, the correct answer is option 4.

We are looking for an adverb – a word that describes an action (verb). Here, we are looking for a word that suitably describes the action ‘writing and speaking one’s own language’. Effectively is an adverb whereas Effective is an adjective. We will understand the fundamental difference between these two words from the following examples:

The problem has some effective solutions (here, effective describes the noun solutions)

The problem should be solved effectively (here, effectively describes the verb solved)

Thus, effectively will fit into the blank appropriately, making option 4 the correct answer.

…One’s own language effectively. It is the basis…

The word we are looking for is an adjective (which describes the noun interest). Universe is a noun itself so it will not fit into the blank. Universally is an adverb which describes a verb (and not a noun). Example : Development is not universally welcome.

The most appropriate word is universal which means existing everywhere or involving everyone.

…subject of really universal (common) interest and utility…

Thus, option 4 is the correct answer.

The correctly spelt word is interference. It means a situation in which a person unnecessarily gets involved.

Example : I do not like my neighbour’s interference in my private life.

Thus, the correct answer is option 4.

The correct answer is option 3. 

In Direct speech, the actual words of the speaker are quoted within quotation marks.

In Indirect speech, we report someone else’s words in our own words.

When we change the speech from Direct to Indirect, we do not use the quotation marks. Also, we use 'that' before the Indirect statement. We make suitable changes in tenses as well.

The most important point to be noted here is that if the reporting verb is in the present tense, the tenses of the verbs in the reported speech remain unchanged. 

Since the reporting verb is 'says', the first person singular verb  'am' in the direct speech becomes 'is' in the third person singular.

Active Voice – the subject does the action on an object

Passive Voice – Something is done on the subject

In the given sentence, the part people are considering indicates that the subject is the people who are the doer of the action. So, the sentence is in it active voice.

In order to change it into passive voice, the object in the active voice becomes the subject in the passive voice – the object is used in the beginning of the sentence. A suitable tense of the verb is followed. The following example will help us to get more clarity.

Active voice : The chef is cooking a delicious meal. (‘A delicious meal’ is the object here)

Passive voice : A delicious meal is being cooked by the chef. (‘A delicious meal’ is used in the beginning of the sentence)

While doing the conversion, the meaning conveyed should not be changed.

Keeping these points in mind, the given sentence when converted in its passive voice is : 

He was considered an outcast by the people.

Thus, the correct answer is option 3.

The phrase Daily pricing is singular. So, is can follow which means the first part of the sequence is part P. Now, the next question arises : Daily pricing is seen as a ploy to do what? This is answered by part R. So, we can have R to follow P with Q as the suitable ending part.

Thus, the correct sequence is PRQ making option 2 the correct answer.

Daily pricing is being seen as a ploy to increase prices while allowing the government to escape any political backlash.

Here the correct answer is Immune.

Key Points

• The option that is opposite in meaning to the word "allergic" is option 2, "immune."
• The word "allergic" refers to a condition where a person's body reacts adversely to a substance that is normally harmless, such as pollen or certain foods.
• For example, "I am allergic to peanuts" means that if the person eats peanuts, their body will have an adverse reaction.
• Option 1, "affected," is not the opposite of "allergic." "Affected" means to be influenced or impacted by something, while "allergic" refers specifically to a negative bodily reaction to a substance.
• Option 3, "sensitive," is not the opposite of "allergic." "Sensitive" refers to having a heightened or acute awareness of something, while "allergic" refers specifically to a negative bodily reaction to a substance.
• Option 4, "afraid," is not the opposite of "allergic." "Afraid" means to be fearful or intimidated, and is not related to bodily reactions.
• Option 2, "immune," is the opposite of "allergic." "Immune" refers to being resistant to a substance or disease.
• For example, "She is immune to the flu" means that her body can resist the flu virus.
• Therefore, the correct answer is option 2, "immune."

Clamorous means making a loud and confused noise. As we are looking for the word expressing opposite meaning, we can eliminate options 1 and 2. Clamorous can also mean demanding something loudly. Suppression seems to be opposite to this meaning as it means to prevent something forcefully from continuing.

Therefore, the correct answer is option 4.

Note - Even if we did not know the other meaning of clamorous related to demanding in loud manner, we could have used the method of elimination here because all other options are similar in meaning.

The correct answer is option 4 i.e. ​Humdrum.

• Let's look at the meaning of the given word and the marked option-
• Mundane - lacking interest or excitement; dull.
• Humdrum - lacking excitement or variety; boringly monotonous.
• So both word Mundane and humdrum have similar meaning.
• Thus, option 4 is the most appropriate answer here.

The word pithy means to express an idea clearly in a few words.

Let us look into the meaning of the given words:

Verbose – containing more words than necessary

Brief – containing few words

Lengthy – of considerable length, very long

Unabridged – something containing the original content without cutting it short.

Thus, the word brief is closer in meaning, making option 2 the correct answer.

Using a pronoun like their or his is not suitable here because the word in the blank will use an apostrophe mark (-‘s).

‘s is used to show possession. Only nouns will use the ‘s form. Example – Rahul’s car refers to the car belonging to Rahul. Their and his highlight the possessive feature already, so we don’t use ‘s in these words. (Her/ Their/ His car is correct and not Her’s/ Their’s/ His’s  car ).

Only option 1 will suit the grammatical structure of the sentence.

Complete sentence -  A thorough search at thief‘s home produced stolen items.

Therefore, the correct answer is option 1.

The correct preposition to be used here is on. When we refer to a large or general place, we use in. When we refer to a specific smaller place / street (especially a surface), we use on.

I met her in the city.

I met her on the Paul street in New York.

Now, a person sits on the surface of the sofa (and not inside it or under it).

Complete sentence - Priya sat on a sofa at the Opera.

So, the correct answer is option 4.

The error lies in the part 2of the sentence. Therefore, the correct answer is option 2.

In order to decide whether was or were will be used, we should find out the subject first. (the noun)

In the given sentence, the subject is demonstration of the live transmission of images (and not images). The demonstration of any xyz is singular (even if xyz is plural). So, we should use was and not were.

Correct Sentence - The first demonstration of the live transmission of images was given by Georges Rignoux and A. Fourier in Paris in 1909.

The error lies in the part 1 of the sentence. Therefore, the correct answer is option 1.

Instead of cause, we should use caused. Whenever a verb follows is, it should be used in its past participle form.

Examples: She is worried, He is concerned, Rakhi is loved by everyone.

Correct Sentence - A rainbow is caused by reflection, refraction, and dispersion of light among water droplets resulting in a spectrum of light appearing in the sky.

As ‘Paper’ is made from ‘Pulp’. Similarly, ‘Sack’ is made from ‘Jute’

Hence, the correct answer is, "Sack : Jute".

The logic followed here is:

First Number - 7 = Second Number

48 : 41 → 48 – 7 = 41

Similarly,

74 – 7 = 67

Hence, the correct answer is ’74 : 67’.

The logic followed here is:

Similarly,

Hence, the correct answer is ‘LAG’.

All options except ‘Valley’ contain stagnant water.

The logic followed here is:

(First Number) ÷ 4 = Second Number

Checking each option as per the above logic, we get

1. 16 - 5 → 16 ÷ 4 ⇒ 4 ≠ 5.

2. 24 - 6 → 24 ÷ 4 ⇒ 6 = 6. 3. 32 - 8 → 32 ÷ 4 ⇒ 8 = 8. 4. 88 - 22 → 88 ÷ 4 ⇒ 22 = 22.

Thus, we can see '16 - 5' does not follow the logic and is the odd one out.

Hence, the correct answer is, "16 - 5".

The logic followed here is:

1. ORU → O + 3 = R; R + 3 = U

2. CFI → C + 3 = F; F + 3 = I

3. HKN → H + 3 = K; K + 3 = N

4) FJM → F + 4 = J; J + 3 = M

As, ‘FJM’ does not follow the logic and thus it is the odd one out.

Hence, the correct answer is, "FJM".

Dictionary sequence is as follows:

3. Fountain
4. Frail
5. Frank
6. Frantic
7. Fraud

Hence, the correct answer is ‘35412’.

The logic followed here is as shown below,

Hence, the correct answer is ‘193’.

The logic followed here is,

The First letter and the second letter of each set are shifted forward by one place respectively as per the English alphabetical order.

Hence, the correct answer is ‘IM’.

Given:

Age of Ashish = 3 × Age of Varun → Ashish > Varun       _____ (1)

Age of Arvind = 1/2 × Age of Varun → Arvind < Varun      ______ (2)

Amit is 8 years older than Varun but 8 years younger than Ashish:

Ashish > Amit > Varun       _____ (3)

On combining (1), (2) and (3), we get:

Ashish > Amit > Varun > Arvind

Thus, ‘Amit’ is the second eldest.

Hence the correct answer is, "Amit".

Checking each option for possible word formation, we get

1. Train → TRAVELLING

2. Rain → TRAVELLING

3. Van → TRAVELLING

4. Track → TRAVELLING (can’t be formed using the word ‘Travelling’ as there is no ‘C and K’ in it).

Hence, the correct answer is, "Track".

Alphabets are coded as per their positional values in the alphabetical series.

Similarly,

Hence, the correct answer is ‘131183’.

Given equation: 8 ÷ 6 - 5 + 70 x 10 = ?

Interchanging the symbols as per the table shown above, we get

8 - 6 + 5 × 70 ÷ 10 = ?

Solving the above equation as per the BODMAS rule,

8 - 6 + 5 × 70 ÷ 10

= 8 - 6 + 5 × 7

= 8 - 6 + 35

= 43 - 6

= 37

Hence, the correct answer is ‘37’.

Given equation: 16 ÷ 6 + 35 x 9 - 15 = 31

After interchanging ‘÷ and -’ we get:

16 - 6 + 35 x 9 ÷ 15 = 31

L.H.S of equation: 16 - 6 + 35 x 9 ÷ 15

⇒ 16 - 6 + 21

⇒ 37 - 6

⇒ 31 = R.H.S

Hence, the correct answer is ‘÷ and -’.

The logic/rule followed here is:

70$7 = -10 → -(70 ÷ 7) = -10

50$5 = -10 → -(50 ÷ 5) = -10

40$8 = -5 → -(40 ÷ 8) = -5

Similarly,

10$2 → -(10 ÷ 2) = -5

Hence, the correct answer is ‘-5’.

The logic followed here is,

Z is shifting two places to its left in each set of letters, which is shown in the table below,

Hence, the correct answer is ‘YXZYXYXY’.

Given :-

1. A brother and sister leave home for school. The brother goes 0.5 km East.
   

2. Then turns right and goes 3.5 km and reaches his school.

3) The sister goes 2.5 km North.

4. Then 1 km West.

5. Then turns left and goes 6 km and reaches her school.

As can be seen clearly from above that the Brother's school is 1.5 km to the East of Sister's school.

Hence, the correct answer is "1.5 km East".

The least possible Venn diagram of the given statements is :-

Conclusion:

I) Some juices are drinks → Doesn't follow (As no direct relationship is given between juices and drinks so it is not definite that some juices are drinks.)

II) No beverages are juices → Doesn't follow (As it is given that some beverages are juices so, it is not possible that no beverages are juices.)

Hence, the correct answer is "Neither conclusion I nor conclusion II follows".

Given:-

Letters present in Rectangle that represents Lawyers → C, D, E, G, H

Letters present in circle that represents Athletes are → H, I

Letters present in triangle that represents Gardeners are → B, C, F, E

Letters present in Square that represents Mothers are → A, B, C, D

Shaded region shows the Set of letters that represents Lawyers who are either Athletes or Gardeners = Common part of Lawyers and athletes (H) and Common part of Lawyers and Gardeners (C, E)

Hence, the correct answer is "HCE".

The pattern followed here is:-

Hence, the correct answer is "VTZ".

The logic followed here is:

Hence, the correct answer is "62".

The logic followed here is :-

(First number × 5) - 1 → Second number

(First number × 2) - 1 → Third number

1. In (17, 84, 35)

[17, {(17 × 5) - 1}, {(17 × 2) - 1}]

[17, {85 - 1}, {34 - 1}] → (17, 84, 33) not (17, 84, 35)

2. In (12, 59, 23)

[12, {(12 × 5) - 1}, {(12 × 2) - 1}]

[12, {60 - 1}, {24 - 1} → (12, 59, 23)

3. In (7, 34, 13)

[7, {(7 × 5) - 1}, {(7 × 2) - 1}]

[7, {35 - 1}, {14 - 1}] →  (7, 34, 13)

4. In (11, 54, 21)

[11, {(11 × 5) - 1}, {(11 × 2) - 1}]

[11, {55 - 1}, {22 - 1}] → (11, 54, 21)

Hence, the correct answer is "(17, 84, 35)".

The correct mirror image of the given figure when a mirror is placed on the line MN is as shown below:-

Hence, the correct answer is "Option 1".

Additional Information

1. The mirror image always forms the laterally inverted images i.e. left changes to right and vice-versa.

2. The reflection of an object in the water is called its water image.

3. The water image of an object in the water is always vertically inverted , i.e. upside changes to downside and vice-versa.

4. The water image is the mirror image in case if the mirror is placed horizontally below the object.

Given: - Unfolded cube

When the cube is folded, the opposite faces of the cubes are:-

1. The face of the dice with dot will be opposite to the face with *.

2. The face of the dice with + will be opposite to the face with a cross and square.

3. The face of the dice with hexagon will be opposite to the face with circle.

Now, Checking options one by one:-

1. Cube in the Option figure 1 → cannot be formed (as the two opposite faces of the cube i.e. dot and * are shown adjacent to each other.)

2. Cube shown in option figure 2 → can be formed (as no two opposite faces are present together.)

3) Cube shown in option figure 3 → can be formed (as no two opposite faces are present together.)

4) Cube shown in option figure 4 → can be formed (as no two opposite faces are present together.)

Hence, the correct answer is "Option 1".

The pattern followed here is :-

A letter in the matrices is represented first by its row and then by its column.

Checking options one by one to identify the set for the word 'SEND'

1. 65 → S ; 22 → E  ; 77 → N ; 43 → D (so, the word formed is 'SEND')

2. 43 → D ; 75 → P ; 12 → G ; 69 → O (so, the letter cluster formed is DPGO)

3. 21 → L ; 65 → S ; 12 → G ; 89 → Y (so, the letter cluster formed is LSGY)

4. 13 → I ; 96 → 30 ; → ; 78 → W  (so, the letter cluster formed is ISIW)

Hence, the correct answer is "65, 22, 77, 43".

Calculation:

Prime factor of 1024

⇒ 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

⇒ 2¹⁰

∴ the number of prime factor of 1024 is 10.

Calculation:

We know that, number divisible by 1 and itself is called prime numbers

Factors of options:

251 = 1 × 251

571 = 1 × 571

331 = 1 × 331

341 = 11 × 31 × 341 × 1

∴ The correct answer is 341.

Given:

⇒ x3 + y3 = 8

⇒ x + y = 2

Formula used:

(x + y)2 = x2 + y2 + 2xy

x3 + y3 = (x + y) (x2 + y2 – xy)

Calculation:

⇒ x³ + y³ = (x + y) (x² + y² – xy)

⇒ 8 = 2 × {(x + y)² – 2xy – xy}

⇒ 4 = {2² – 3xy}

⇒ 3xy = 0

⇒ xy = 0

Now, (x + y)² = x² + y² + 2xy

⇒ 2² = x² + y² + 2 × 0

⇒ 4 = x² + y²

⇒ x² + y² = 4

Squaring both sides, we get

⇒ (x² + y²)² = x⁴ + y⁴ + 2x²y²

⇒ 4² = x⁴ + y⁴ + 2 × 0

⇒ x⁴ + y⁴ = 16

∴ The correct answer is 16.

We know (x – y)² = x² + y² – 2xy

And, (x + y)² = x² + y² + 2xy

Given, ${{\rm{y}}^4}{\rm{}} + {\rm{}}\frac{1}{{{{\rm{y}}^4}}}{\rm{}} = {\rm{}}34$                                      

${\left( {{{\rm{y}}^2} + \frac{1}{{{{\rm{y}}^2}}}} \right)^2} = {{\rm{y}}^4} + \frac{1}{{{{\rm{y}}^4}}} + 2 \times {{\rm{y}}^2} \times \frac{1}{{{{\rm{y}}^2}}}$

$\Rightarrow {\left( {{{\rm{y}}^2} + \frac{1}{{{{\rm{y}}^2}}}} \right)^2} = 34 + 2 = 36$

$\Rightarrow {{\rm{y}}^2} + \frac{1}{{{{\rm{y}}^2}}} = 6$

Now, ${\left( {{\rm{y}} - {\rm{;}}\frac{1}{{\rm{y}}}} \right)^2} = {{\rm{y}}^2} + \frac{1}{{{{\rm{y}}^2}}} - 2 \times {\rm{y}} \times \frac{1}{{\rm{y}}}$ 

$\therefore {\left( {{\rm{y}} - {\rm{;}}\frac{1}{{\rm{y}}}} \right)^2} = 6 - {\rm{;}}2 = 4$

We know, two triangle are similar, if their corresponding angles are equal and their corresponding sides are in the same ratio or proportion.

If ∠A = ∠D, then

⇒ AB/AC = DE/DF

⇒ 14/10 = 7/5

⇒ 7/5 = 7/5

So, option 1 is right

We know, angle (radian) = arc/radius

⇒ 54 × π/180 = arc/14

⇒ 54 × 22/7 × 1/180 = arc/14

∴ arc = 13.2 cm

According to the question

⇒ 5% of (P + Q) = 20% of (P- Q)

⇒ 5/100 × (P + Q) = 20/100 × (P – Q)

⇒ (P + Q) = 4 × (P – Q)

⇒ P + Q = 4P – 4Q

⇒ 3P = 5Q

⇒ P/Q = 5/3

Let P = 5 & Q = 3

∴ Required % = 5/3 × 100 = 166.66%

Let number x be added to each so that the resulting numbers will be in proportion.

$\frac{{4 + {\rm{x;}}}}{{16 + {\rm{x}}}} = \frac{{18 + {\rm{x}}}}{{58 + {\rm{x}}}}$

Using dividendo and componendo

$\Rightarrow {\rm{}}\frac{{4{\rm{;}} + {\rm{;x;}} + {\rm{;}}16{\rm{;}} + {\rm{;x}}}}{{4{\rm{;}} + {\rm{;x}} - 16 - {\rm{x}}}}{\rm{}} = {\rm{}}\frac{{18{\rm{;}} + {\rm{;x;}} + {\rm{;}}58{\rm{;}} + {\rm{;x}}}}{{18{\rm{;}} + {\rm{;x}} - 58 - {\rm{x}}}}$

$\Rightarrow {\rm{}}\frac{{20{\rm{;}} + {\rm{;}}2{\rm{x}}}}{{ - 12}}{\rm{}} = {\rm{}}\frac{{76{\rm{;}} + {\rm{;}}2{\rm{x}}}}{{ - 40}}{\rm{;}}$

∴ x = 2

Shortcut Trick

Initial Soda : Water = 7 : 18 (Total 25 parts = 250 litres ⇒ 1 part = 10 litres)

Final Soda : Water = 2 : 3 ⇒ Multiply by 6 to equalise Water parts ⇒ 12 : 18

Increase in Soda ratio parts = 12 − 7 = 5 parts.

Amount of Soda added = 5 × 10 = 50 litres.

∴ The correct answer is 50 litres.

Alternate Method

Given:

⇒ Total initial mixture = 250 litres

⇒ Ratio of Soda to Water = 7 : 18

Initial Mixture (250 L)

Soda: 70 L (7 parts)

Water: 180 L (18 parts)

• x L Soda

Final Mixture

Soda: 120 L (2 parts)

Water: 180 L (3 parts)

⇒ Total ratio parts = 7 + 18 = 25 parts

⇒ 25 parts = 250 litres

⇒ 1 part = 250 ÷ 25 = 10 litres

⇒ Initial Soda amount = 7 × 10 = 70 litres

⇒ Initial Water amount = 18 × 10 = 180 litres

Let the amount of extra soda added be x litres.

⇒ New Soda amount = (70 + x) litres

Since the new ratio of Soda to Water is 2 : 3:

⇒ (70 + x) / 180 = 2 / 3

⇒ 3 × (70 + x) = 2 × 180

⇒ 210 + 3x = 360

⇒ 3x = 360 − 210

⇒ 3x = 150

⇒ x = 50

∴ The correct answer is 50 litres.

Additional Information

Constant Quantity Method

When only one component of a mixture is altered (added or removed), the absolute quantity of the other component remains unchanged. Equating its ratio parts in the initial and final states is the fastest way to solve the question without using heavy variables.

Rule of Alligation

A rapid cross-multiplication technique used to find the specific ratio in which two quantities of known concentrations or prices must be mixed to produce a desired average concentration. Ratio = (Dearer − Mean) : (Mean − Cheaper).

Mixture Replacement

When a certain volume is drawn off from a homogeneous mixture and replaced with one of its pure components, the ratio of the ingredients in the remaining mixture exactly matches the original mixture before the final pure addition is made.

Let the third number be 3x

So, the first number is 4x

And the second number = 3x + 20

We know, average = sum of all the observation/total number of observation

According to the question

Average = (4x + 3x + 20 + 3x)/3

⇒ (4x + 3x + 20 + 3x) = 40 × 3 = 120

⇒ 10x = 100

⇒ x = 10

∴ Second number = 3x + 20 = 3 × 10 + 20 = 30 + 20 = 50

A sum of Rs. 4000 becomes Rs 6000 in 1 year

So, Principal = 4,000 and SI = 6,000 – 4,000 = 2,000

We know, SI = (P × r × t) /100

⇒ 2,000 = (4,000 × r × 1) /100

⇒ r = 50%

According to the question

${\rm{A}} = {\rm{P}}{\left( {1 + \frac{{\rm{r}}}{{100}}} \right)^4}$

⇒ A = 4,000 × 3/2 × 3/2 × 3/2 × 3/2

⇒ A = 20250

∴ After 4 years, the sum will be Rs. 20250.

First shirt is sold at a profit of 30%

We write 30% = 3/10

Let CP of the first shirt be 10 and profit be 3

So, SP of the first shirt = 10 + 3 = 13

(CP)₁/(SP)₁ = 10/13      ----(1)

Similarly second shirt is sold at a loss of 30%

We write 30% = 3/10

Let CP of the second shirt be 10 and loss be 3

So, SP of the second shirt be = 10 – 3 = 7

(CP)₂/(SP)₂ = 10/7      ----(2)

Given, CP of the first shirt is equal to the SP of the second shirt.

Multiply by 7 in equation (1) and multiply by 10 in equation (2) we get

CP)₁/(SP)₁ = 70/91

(CP)₂/(SP)₂ = 100/70

∴ ratio of the selling price of the first shirt to the cost price of the second shirt is 91 : 100

Let the CP of the article be 100

So, MP of the article = 100 × 160/100 = 160

If no profit or no loss, then discount % = (MP – CP) /MP × 100

∴ Required discount % = (160 – 100) /160 × 100 = 37.5%

Let the number be x

According to the question

⇒ a² – 169 = 7056

⇒ a² = 7056 + 169

⇒ a² = 7225

⇒ a = 85

∴ Number is 85

We know, h₁ × d₁ = h₂ × d₂

So, h₁ = 5 hr, d₁ = 24 hr, d₂ = 8 & h₂ = ?

⇒ 5 × 24 = h₂ × 8

⇒ h₂ = 15 hours

∴ 15 hours a day he should work.

If opposite directions then,

Total Speed = S₁ + S₂

Given S₁ = S₂

Total distance = 120 + 120 = 240

Total time = 12 sec

We know, speed = distance/time

So, total speed = 240/12 = 20 m/sec

S₁ + S₂ = 20 m/sec

⇒ 2S₁ = 20 m/sec

⇒ S₁ = 10 × 18/5 = 36 km/hr

∴ The speed of each train is 36 km/hr

Number of students applied in 2011 = 6,000

Number of students applied in 2012 = 2,500

Number of students applied in 2013 = 9,500

Number of students applied in 2014 = 7,000

Number of students applied in 2015 = 5,000

∴ We can say in 2013 applications were greater than that of the previous year.

Number of students applied in 2017 = 5,500

And number of students applied in 2012 = 2,500

∴ Difference in applications between the years 2017 and 2012 = 5500 – 2500 = 3000

Number of students applied in 2014 = 7,000

Number of students applied in 2015 = 5,000

∴ Required % = (7,000 – 5,000)/5,000 × 100 = 2,000/5,000 × 100 = 40%

Number of students who applied in 2015 = 5,000

Number of students who applied in 2016 = 1,500

Number of students who applied in 2017 = 5,500

Total applications in 2015, 2016 and 2017 = 5,000 + 1500 + 5500 = 12,000

If application fees submitted by each applicant = Rs. 500

Then, the total fees collected by the college in the last three years = 12,000 × 500 = 60,00,000

Hence, the correct answer is "60".

We know, area of the square = a²

And perimeter of the square = 4a

Area of the given square = 72.25

⇒ a² = 72.25

⇒ a = 8.5

∴ Perimeter of the given square = 4a = 4 × 8.5 = 34 cm

We know, the circumference of the circle = 2πr

Given, radius of the circle = 17.5

∴ The circumference of the given circle = 2πr = 2 × 22/7 × 17.5 = 110

Given: The curved surface area of cylinder = 352 cm2

The diameter of the cylinder = 14 cm

Calculation:

⇒ The radius of the cylinder = 14/2 = 7 cm

Formula: The curved surface area of the cylinder = 2πrh

⇒ 2πrh = 352

⇒ 2 × 22/7 × 7 × h = 352

⇒ h = 8 cm

∴ Height of the cylinder is 8 cm

We know, the sum of all the three angles of a triangle is 180

Given, ∠Z = 60 & ∠Y = 90

⇒ ∠X + ∠Y + ∠Z = 180

⇒ ∠X + 90 + 60 = 180

⇒ ∠X = 30

∴ cot X – 1/3 = cot30 – 1/3 = √3 – 1/3 = (3√3 – 1)/√3

Thus, the correct answer is option 1.

Given, sin P = 12/13 & ∠Q = 90

Sin P = Perpendicular/hypotenuse = RQ/PR = 12/13

RQ = 12k & PR = 13k

In right angled ∆PQR

By Pythagoras theorem

(PR)² = (PQ)² + (RQ)²

⇒ 13k² = (PQ)² + 12k²

⇒ (PQ)² = 25k cm

⇒ PQ = 5k

∴ tan R = PQ/RQ = 5/12

The correct answer is 0 to 1

Key Points

• Marginal propensity to consume refers to the ratio of change in consumption expenditure to change in total income.
• MPC = Change in consumption (ΔC) / Change in Income (ΔY)
• The marginal propensity to consume lies between 0 to 1 as we know incremental income is either spent on consumption or saved for future use.
• If the entire income is consumed, i.e. ΔS = 0, then MPC = 1 and if the entire additional income is saved, i.e. ΔC = 0, then MPC = 0. So, 2 is the correct answer.

• The Forward Markets Commission is the chief regulator of commodity future markets in India. (FMC) is a statutory body set up under the Forward Contracts (Regulation) Act, 1952. It functions under the administrative control of the Department of Economic Affairs, Ministry of Finance since September 2013.
• Forwards Market Commission is an entity monitoring and regulating the operations and activities of commodities future markets in India.
• FMC sources, collects and publishes information concerning trading conditions for different commodities. Hence, 2 is the correct answer.

The Correct answer is Chalukya - Tanjore.

Key Points

• Chalukya – Tanjore does not correctly match the given pattern. Hence, 3 is the correct answer.

The correct answer is Zabti System.

Key Points

• ‘Todarmal system’ is also known as Zabti or Dahsala system.
• Raja Todar Mal, as finance minister of Akbar, brought a new system of revenue collection known as the ‘Zabti system’ and ‘Dahshala system’ which was a system of taxation.
• It was introduced under the reign of Akbar in the year 1580-82 in order to put a check on the problems that were arising due to fixing prices each year and revenue settlement of the last year.
• Provinces were subdivided into ‘Dastur’ or revenue circles with their own revenue rates.
• This system of land revenue became very popular and continued for a very long time. Hence, 1 is the correct answer.

Additional Information

• Kankut system
• In Kankut or appraisement, the whole land was measured, either by using the jarib or pacing it, and the standing crops were estimated by inspection.
• It was also known as Danabandi.
• It was also an old prevalent method in which, instead of actually dividing the grain (kan), an estimate (kut) was made on the basis of an actual inspection on the spot and one-third of the estimated produce was fixed as the state demand.
• So, it was a rough estimate of produce on the basis of actual inspection and past experience.​
• Nasaq System
• Nasaq System was widely operable in the Mughal Empire, particularly in Bengal. In this system, a rough computation was made on the basis of the past revenue receipts of the peasants.
• It required no actual computation, but the area was diagnosed from the records.
• GallaBakshi System
• ​Galla Bakshi was also known as Batai-System. Under Galla, Bakshi System Produce after harvest was divided into State and Peasants.
• Under the Galla Bakshi system, Land rent could be paid in cash or produce. Ggalla Bakshi was implemented in Kabul, Thatta and Kashmir.

The correct answer is 193 Km. 

Key Points

• When built, Suez Canal was 164 km (102 mi) long and 8 m (26 ft) deep.
• After several enlargements, it is 193.30 km (120.11 mi) long, 24 m (79 ft) deep and 205 metres (673 ft) wide.
• The starting point of the canal is ‘Port Said’ and the ending point is **‘Port Suez’.**​

Additional InformationSuez Canal and Panama Canal Comparision:

The correct answer is On Tapti river in Gujarat.

Key Points

• The ‘Ukai Dam’ is constructed across the Tapti River.
• It is the second largest reservoir in Gujarat after the SardarSarovar.
• It is also known as ‘Vallabh Sagar’ and was constructed in 1972.
• Having a catchment area of about 62,255 km² and a water spread of about 52,000 hectares.
• Its capacity is almost the same as that of the **BhakraNangal Dam.**​

Additional Information

Other important Dams, Rivers and their states:

The correct answer is Charvak

Key Points

• The exponent of Lokayata Darshana was ‘Charvak’.
• ‘Charvaka’ originally known as Lokāyata and Bṛhaspatya, is the ancient school of Indian materialism.
• Charvaka holds direct perception, empiricism, and conditional inference as proper sources of knowledge embraces philosophical skepticism, and rejects Vedas, Vedic ritualism, and supernaturalism.
• Its teachings have been compiled from historic secondary literature such as those found in the shastras, sutras, and Indian epic poetry as well as in the dialogues of Gautama Buddha and from Jain literature.

The correct answer is Cyber4All: An Inclusive, Sustainable, Developmental, Safe and Secure Cyberspace.

Key Points

• The theme for the GCCS 2017 is 'Cyber4All: An Inclusive, Sustainable, Developmental, Safe and Secure Cyberspace
• GCCS is a prestigious international conference that aims at encouraging dialogue among stakeholders of cyberspace, which has been taking place since 2011. Incepted in 2011 in London, GCCS witnessed a participation of 700 global delegates.
• The second conference was held in 2012 in Budapest, the third edition of GCCS was held in 2013 in Seoul, the fourth version of GCCS 2015 was held in The Hague, Netherlands and so on.
• The GCCS 2017 took place on the 23rd and 24th of November, 2017 in Aero City, New Delhi.

Hence, 1 is the correct answer.

The correct answer is Sushmita Sen

Key Points

• Thechief crop of Sri Lanka in which country is self-sufficient is ‘Rice’.
• Rice is cultivated during ‘Maha’ and ‘Yala’ seasons. Maha Season starts by September and ends by March during North-east monsoon, and Yala season starts by May and ends by August.
• Tea is also cultivated in the central highlands and is a major source of foreign exchange. Vegetables, fruits and oilseed crops are also cultivated in the country.

Hence, 1 is the correct answer.

The correct answer is Controller.

Explanation:

• A nuclear reactor produces and controls the release of energy from splitting the atoms of certain elements. In a nuclear power reactor, the energy released is used as heat to make steam to generate electricity. Hence, the controller is the correct answer.
• FUEL: Uranium is the basic fuel. Usually, pellets of uranium oxide (UO₂₎ are arranged in tubes to form fuel rods. The rods are arranged into fuel assemblies in the reactor core.
• Moderator: Material in the core slows down the neutrons released from fission so that they cause more fission. It is usually water but may be heavy water or graphite.
• Controller: These are made with neutron-absorbing material such as cadmium, hafnium or boron, and are inserted or withdrawn from the core to control the rate of reaction, or to halt it.
• Lubricant: lubricant has shown that it is possible to produce materials capable of lubricating some reactor components. In order to further the development of such lubricants the U.K.A.E.A. and the nuclear manufacturing groups have co-operated in providing lubricant manufacturers.

The correct answer is Potassium Nitrate.

Explanation:

• The major composition of Gunpowder includes Potassium nitrate, Carbon and Sulfur. Hence, Option 2, Potassium Nitrate is the correct answer.
• The standard composition of Gun powder is 75% potassium nitrate, 15% charcoal or carbon and 10% sulphur. The formula is well accepted and is known for ages as one which will produce a powerful black powder.
• The sulfur and charcoal act as fuels while the potassium nitrate is an oxidizer.

The correct answer is Only II.

Key Points

• There are three organs of government:

• Whereas Media is not included as an organ of government. It is not formally recognized as a part of a political system, it wields significant indirect social influence.

Hence, 2 is the correct answer.

The correct answer is vas deferens.

Explanation;

• The ‘vas deference is a long, muscular tube that travels from the epididymis into the pelvic cavity, to just behind the bladder. Hence, 3 is the correct answer.
• The vas deferens transports mature sperm to the urethra, the tube that carries urine or sperm outside of the body, in preparation for ejaculation.
• The sperm duct is also known as the vas deferens. They transport sperm into the penis. They also collect fluids secreted by different glands. These secretions are rich in proteins to enrich the sperm.

• Xylem is one of the two types of transport tissue in vascular plants, phloem being the other. The basic function of xylem is to transport waterfrom roots to shoots and leaves, but it also transports nutrients.
• Companion cells are not a constituent of Xylem.Companion cell are type of cell found within the Phloem of flowering plants. They are not found in Xylem.
• Its function is uncertain, though it appears to regulate the activity of the adjacent sieve element and to take part in loading and unloading sugar into the sieve element.

Hence, 2 is the correct answer.

The correct answer is 120 square metre.

Key Points

• Ministry of Housing and Urban Poverty Alleviation (MoHUPA) was introduced in June 2015, an interest subsidy scheme called Credit Linked Subsidy Scheme (CLSS) under Pradhan Mantri Awas Yojana (URBAN)-Housing for all.
• This is implemented for the purchase/construction/extension/improvement of houses to cater Economical Weaker Section(EWS)/Lower Income Group(LIG)/Middle Income Group (MIG)
• The Centre approved the enhancement of the carpet area of houses for the middle-income group (MIG) category under the Pradhan Mantri Awas Yojana- Urban (PMAY-U).
• The carpet area of the houses has been enhanced from 90 Sq.mtr to 120 Sq.mtr, while under the MIG-II segment, it has been increased to 150 Sq.mtr from the current 110 Sq.mtr.
• For the MIG-I category, a four per cent interest subsidy is provided to the beneficiaries with an annual income of Rs 6-12 lakh on a loan of up to Rs 9 lakh. Hence, the answer is option 2.

The correct answer is China

Key Points

• The interest of China to conduct large-scale projects have also affected the field of high technology. To conduct comprehensive medical and scientific research, it has created a DNA database of 80 million people. Hence, 3 is the correct answer.
• The first stage involved the collection and storage of 80 million DNA samples. The next stage will be implemented by DNA sequencing (the formal description of the structure of the molecule) at a rate of up to half a million samples per year.
• Scientific data resulting from the research will be used to study the effect of the environment on the organism, study the problems of mutation, and the genotype’s influence on the health of the offspring and fight dangerous diseases.

​The correct answer is 2028

Key Points

• India is likely to achieve strong growth over the next decade and will overtake Japan in nominal GDP by 2028 to emerge as the World's third-largest economy says a foreign brokerage report. Hence, 3 is the correct answer.
• Falling dependency ratios, financial maturity, and increasing incomes and affordability are the three key drivers for the country to stand among the large emerging economies.
• India has already overtaken Brazil and Russia to emerge as the second largest BRIC economy after China: Bank of America Merrill Lynch report.

The correct answer is Afzal Amanullah Committee.

Key Points

• The Haj subsidy was a subsidy that was given to Indian Muslim Hajj pilgrims by the Government of India in form of discounted Airfares on Indian Government-owned Air India.
• The Union Ministry of Minority Affairs has decided to end the ‘Haj subsidy’ this year as a part of its policy to empower minorities with dignity and without appeasement.
• This decision was taken based on the recommendations of the ‘Afzal Amanullah Committee' and the May 2012 Supreme Court order.
• Union Government had constituted a committee headed by former secretary Afzal Amanullah to suggest a framework for the new Haj policy for 2018-22.
• The committee had recommended a gradual withdrawal of the Haj subsidy. It also recommended allowing older Muslim women to travel to haj without male guardians.

The correct answer is 72.

Key Points

• Frequency = Speed of sound/Wavelength
• Speed of sound = 360 m/s
• Wavelength = 5 m
• Frequency = 360/5 = 72 Hz

Hence, option 4, 72Hz is the correct answer.

The correct answer is as well as pressure is high.

Explanation:

• In physics, the sound is a vibration that typically propagates as an audible wave of pressure, through a transmission medium such as a gas, liquid or solid.
• The sound waves are generated by a sound source, such as the vibrating diaphragm of a stereo speaker. The sound source creates vibrations in the surrounding medium, the vibrations propagate away from the source at the speed of sound, thus forming the sound wave.
• Wave's features: Compression is a high-density part of the wave (the part where the slinky is compressed). It is the peak of the wave. A rarefaction is a low-density part of the wave (the part where the slinky is most spread out). This is the trough of the wave.
• Compression is a region in a longitudinal wave where the particles are closest together creating both density and pressure high. Hence, 1 is the correct answer.