SSC CHSL Previous Paper 12 (Held On: 5 Jul 2019 Shift 2) (Previous Year Paper)

The correct answer is option 3 i.e. haste.

rapidity(noun)- the quality of moving or reacting with great speed.

hurry(verb)- move or act with great haste.

haste(noun)-urgency of movement or action.

swiftness(noun)-the quality of moving at high speed.

From the context of the sentence is can be inferred that there is a sense of quick action that is shown by option C.

Remaining all the options talk about the speed.

So, contextually chosen option is correct.

The correct answer is option 2 separate.

separate- forming or viewed as a unit apart or by itself.

The correct answer is option 2 i.e. BDCA.

As part B contains two kinds of and part D and C contains one and the other respectively.

It is clear that  B should be first and C should come after D.

BDC this is only in the option 2.

So, the answer is BDCA.

The correct answer is option 3 i.e. resistance.

DEFIANCE- open resistance; bold disobedience.

deference- polite submission and respect.

assistance- the action of helping someone by sharing work.

resistance- an ability not to be affected by something. 

pretence- an act of showing off. 

The chosen option shows the same meaning as the given word.

The correct answer is option 3 i.e. greatest.

As there is THE before the blank we need to use adjective according to it.

The appropriate word here is greatest because it is specifically talking about the best painters and sculptors from Spain and Italy.

Contextually greatest is the perfect choice.

The correct answer is option 1 i.e. these.

As there is a plural noun after the blank (arts) we need to use determiner according to it.

As that and this both are used for singular they can not be the answer.

These is used for plural so, this will be the answer.

The correct answer is option 2 i.e. imagination.

It can be said that there is a comparison in the sentence because of MORE in the sentence.

After the blank, there is INTELLECT that means- the faculty of reasoning and understanding objectively.

Only imagination can be the opposite of it so the chosen option is correct.

The correct answer is 4 i.e. produced.

For the generation we use produce as the men belong to a country.

it can be said that these countries have produced.

The correct answer is option 2 i.e. to.

Comparison is followed by two prepositions TO and WITH.

As there is only TO in the option it should be chosen as the answer for the blank space.

The correct answer is: Option 4.

Key Points

• The word "temperate" means showing moderation or self-restraint; not extreme in behavior or climate. (संयमी)
• Example: The climate in the region is temperate, making it ideal for agriculture.
• "Moderate" refers to something that is average in amount, intensity, quality, or degree; not extreme. (मध्यम)
• Example: She holds moderate views on the topic, avoiding any extreme positions.
• Hence, we can infer that the synonym of 'temperate' is 'moderate'.

Therefore, the correct answer is: Option 4.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Tentative (अनिश्चित): Not certain or fixed; provisional.
• Example: The schedule for the meeting is still tentative and may change.
• Extreme (अत्यधिक): Reaching the highest degree; very severe or radical.
• Example: The region experiences extreme weather conditions during the winter.
• Temporary (अस्थायी): Lasting for only a limited period of time; not permanent.
• Example: She found a temporary job to cover her expenses over the summer.

The correct answer is option 4.

In indirect speech we always write sentence in assertive form.

Sub + verb + object.

In the given option only 4 has this construction of the sentence.

So, this will be the answer.

The correct answer is option 4 i.e. DACB.

As it is clear from part B and C that B will come after C because B talks about the REASON.

and B and C should be the concluding part it should come at last in the arrangement.

Only option 4 has CB at last.

So, the chosen option is correct.

The correct answer is option 1 i.e. was congratulated.

The verb will be used according to the first subject and the first subject is members that is plural so verb should also be in plural form.

We need to replace was with were for making the sentence correct.

The correct answer is option 1 i.e. from doing what i want.

• Phrasal Verb: prevent (someone or something) from (doing something)​​

1. 'Prevent' is followed by preposition 'from' to convey the correct contextual meaning of the phrasal verb.
2. 'from' is followed by V-ing form of the verb.
   

e.g:The police tried to prevent him from leaving.

Correct Sentence: You must not prevent me from doing what I want.

The correct answer is option 1 i.e. to rebuke.

The meaning of the given idiom is-  to chew someone out for something they've done wrong.

The meaning of the chosen is as same as the meaning of the given idiom.

The correct answer is option 3 i.e. ordinary.

EXCEPTIONAL- unusual; not typical.

unique- being the only one of its kind; unlike anything else.

rare-(of an event, situation, or condition) not occurring very often.

ordinary- (of an event, situation, or condition) not occurring very often.

optional- available to be chosen but not obligatory.

The chosen option shows the opposite meaning of the given word.

The correct answer is option 1 i.e. to pay no heed.

The meaning of the idiom- refuse to listen or respond to a statement or request.

The correct answer is 3 i.e. recuperation.

The word used for coming out of a long illness is recuperate.

So, the chosen option is correct.

recuperating- recover from illness or exertion.

The correct answer is option 3 i.e. C

Explanation:

• Some conjunctions such as: '; No sooner...than', 'Hardly/scarcely...when', are used in a pair. No sooner............ than is coordinating conjunction and both occur together.

• For example :

• Hardly had I left the cinema hall than I saw the actor himself.  

• Hardly had I left the cinema hall when I saw the actor himself. 

 ​​

• Hence in the 3rd part of the sentence, 'than' will be used instead of 'when'.

• Whenever 'did' is used as an auxiliary/helping verb, the main verb will be in 1st form.
• In case of these conjunctions, an inverted form of the verb will be used as illustrated in the examples above.
  

​

Correct Sentence: No sooner did the comedian begin his act than the audience roared with laughter.

The correct answer is option 2 i.e. sinecure.

Let's look at the meaning of the given options-

• Bureaucracy- a system of government in which most of the important decisions are taken by state officials rather than by elected representatives.
• Sinecure- a position requiring little or no work but giving the holder status or financial benefit.
• Autocracy- a system of government by one person with absolute power.
• Honorary- conferred as an honour, without the usual requirements or functions.
  

Hence from the above-given meanings, we find that the correct answer is 2 i.e. sinecure.

The correct answer is: Option 4.

Key Points

• The word "Tution" is incorrectly spelt. The correct spelling is "Tuition". (ट्यूशन)
• Example: She attends tuition classes every evening after school.
• "Tuition" refers to the act of teaching or instruction, especially in small groups or one-on-one. (ट्यूशन)
• Example: The university offers tuition in various subjects to help students excel.

Therefore, the correct answer is: Option 4.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Tyranny (तानाशाही): Cruel and oppressive government or rule.
• Example: The people suffered under the tyranny of the dictator.
• Trivial (तुच्छ): Of little value or importance.
• Example: She dismissed his concerns as trivial and unworthy of discussion.
• Typical (प्रतीकात्मक): Having the distinctive qualities of a particular type of person or thing.
• Example: It was a typical summer day, hot and sunny.

The correct answer is option 4 i.e. celibacy

Explanation-

• Feminism- the advocacy of women's rights on the ground of the equality of the sexes.
• Polygamy- the practice or custom of having more than one wife or husband at the same time.
• Monogamy- the practice of marrying or state of being married to one person at a time.
• Celibacy-the state of abstaining from marriage and sexual relations.
  

Hence from the above-given meanings, we find that the correct answer is 4 i.e. celibacy

The correct answer is option 3 i.e. to the specifications given by.

The word conform is followed by the preposition TO/WITH.

But the passive structure of the makes it necessary the By should be used after GIVEN.

Both of these two things are present in option 3.

So, the chosen option is correct.

The correct answer is 2 i.e. hope.

despair- the complete loss or absence of hope.

hope- a feeling of expectation and desire for a particular thing to happen.

The chosen option shows the opposite meaning of the given word.

The correct answer is option 3.

Active - Sub + were/was + v4 + object + other words.

Passive- Object + were/was + being + v3 + By + subject + other words.

This structure is being followed by option 3.

So, the chosen option is correct.

‘Gynaecology’ is the medical practice which deals with the health of the female while “Paediatrics’’ is the medical practice which deals with the heath of the children.

Hence, the correct answer is children.

The correct answer is option 2 i.e. all conclusions follow.

I. Some clever are children →True (Some children are clever).

II. Some honest are children →True (All children are honest).

III. Some clever are honest →True (those clever who are children are honest).

Hence, the correct answer is all conclusions follow.

The pattern followed here is:

277, 239 and 233 are prime numbers.

But 253 = 11 × 23.  Thus, 253 is a composite number.

Hence, 253 is the odd one among the given alternatives.

The pattern followed here is:

Similarly,

Hence, the correct answer is NCKFCSEM.

The triangles in ABC are 12 as there are 4 horizontal lines viz. EF, GH, YZ, BC and one vertical line i.e. AD so 3 × 4 = 12.

Similarly, in triangle FCN, there are 3 × 2 = 6 triangles and in FNM there are 3 × 3 = 9 triangles

Thus, there are in all 12 + 6 + 9 = 27 triangles.

The pattern followed here is:

Similarly,

Hence, the correct answer is VYMV.

The pattern followed here is:

(56, 38, 96) → (14 × 4, 14 + 24, 24 × 4)

Similarly,

(16, 14, 40) → (4 × 4, 4 + 10, 10 × 4)

The correct answer is (16, 14, 40).

The pattern followed here is:

Given series is 25 : 600

i.e. 25 → 25² → 625 and 625 – 25 = 600;

Now, let's check each option:

1. 14 → 14² → 196 and 196 – 14 = 182 ≠ 210

2)16→ 16² → 256 and 256 – 16 = 240 ≠ 256

3)18→ 18² → 324 and 324 – 18 = 306

4. 20→ 20² → 400 and 400 – 20 = 380 ≠ 420

Hence, the correct answer is 18 : 306

Let's check each option:

1) g g k m p s k m g g k m p s k m g g k k p s m m

2) g g k m s s k m p g k m g s k m g g k k p s m m

3) g g k m / p s k m / g g k m / p s k m /g g k m / p s k m

4) g g k m p s k m g g k m s s k m g g k k p s m m

Hence, the correct answer is 'gpgpmk'.

“Telephone” is used for “communication”.

Similarly, “Television” is used for “Entertainment”.

Hence, the correct answer is Television : Entertainment.

In the given series, the outer figure along with the shaded triangle is rotating in clockwise direction. (shifting by 1 place)

The circle inside the figure alternates between two positions.

Hence, the correct answer is option 1.

Now draw the family tree using the above notation:

“J + R ÷ T × K – Z” means “J is brother of R”, “R is son of T”, “T is husband of K” and “K is daughter of Z”.

Thus, K is the mother of J.

Hence, the correct answer is mother.

The code for FASHION,

F = 6

A = 1

S = 19 → 1 + 9 = 10 → 1 + 0 = 1

H = 8

I = 9

O = 15 → 1 + 5 = 6

N = 14 → 1 + 4 = 5

Similarly,

The code for LASTING

L = 12 → 1 + 2 = 3

A = 1

S = 19 → 1 + 9 = 10 → 1 + 0 = 1

T = 20 → 2 + 0 = 2

I = 9

N = 14 → 1 + 4 = 5

G = 7

Hence, the correct answer is 3112957

The pattern followed here is:

Hence, the correct answer is 75.

Let the amount with C be X. Then, amount with C after taking ₹11 from A = X + 11

According to the given information, amount with B = X + 11.

Also, the amount with C before taking ₹11+ amount with B = 111.

⇒ X + X + 11 = 111

⇒ 2X = 100

⇒ X = 50

Hence, C has Rs 50.

The mirror image of the question figure is as follows:

Hence, the correct answer is option 3.

Given series:

615 – 377 ÷ 29 × 15 + 308

After interchanging + and –:

615 + 377 ÷ 29 × 15 – 308

= 615 + 13 × 15 – 308

= 615 + 195 – 308

= 502

Hence, the correct answer is 502.

Steps for using a bank account:

Filling-in application form → Submitting necessary documents → Bank Account opened → Depositing and withdrawing money → Account closing  

Hence, the correct answer is 1, 3, 2, 5, 4.

The faces with numbers 3 and 4 are adjacent to the face with number 2 in the first position.

The faces with numbers 5 and 6 are adjacent to the face with number 2 in the second position.

The only number left is 1.

Hence, the number on the face opposite to the one having 2.

The question figure is embedded in the following figure:

Hence, the correct answer is option 2.

Here, some liquids are eatable and all mangoes are eatable.

Hence, the correct answer is the figure in option 4.

Hence, the correct answer is option 2.

Scanner, photocopier and printer are used for printing or scanning documents.

Microwave is used for cooking.

Hence, the correct answer is Microwave.

The pattern followed here is:

Hence, the correct answer is CFJM.

Given series

(16, 24, 88) = 24 – 16 = 8 and 88 ÷ 8 = 11.

Similarly,

(14, 21, 77) = 21 – 14 = 7 and 77 ÷ 7 = 11

Hence, the correct answer is (14, 21, 77)

Calculation: 

Let the length of AB = x cm

The length of BC = (2x - 2) cm, and the length of AC = (x + 10) cm

The perimeter of ΔABC = 32 cm.

⇒ x + 2x - 2 + x + 10 = 32

⇒ 4x + 8 = 32

⇒ 4x = 24

⇒ x = 6

The lengths of the sides of the triangle are:

AB = x cm = 6 cm

BC = (2x - 2) cm = 10 cm

AC = (x + 10) = 16 cm

∴ The length of the smallest side of the triangle is 6 cm.

Given:

 BP = 5 cm, CQ = 7 cm and AR = 6cm

Calculation:

The lengths of tangents from a point on a circle are equal.

Thus, AP = AR = 6 cm

BQ = BP = 5 cm

CR = CQ = 7 cm

Now, AB = AP + PB = 6 + 5 = 11 cm

BC = BQ + QC = 5 + 7 = 12 cm

AC = AR + CR = 6 + 7 = 13 cm

The perimeter of ΔABC = AB + BC + AC

∴ The perimeter of ΔABC = 11 + 12 + 13 = 36 cm

Calculation: 

The total cost price of both the articles = 2 × 4158 = Rs. 8316

The selling price of the article sold at 15% loss = 4158 × [(100 - 15)/100] = Rs. 3534.3

For no profit/loss, the other article must be sold for = 8316 - 3534.3 = Rs. 4781.7

Hence, the profit on the other article = 4781.7 - 4158 = Rs. 623.7

∴ Profit percent on the other article = 623.7/4158 × 100 = 15%

Calculation:

For a number to be divisible be 88, it should be divisible by 11 and 8.

For a number to be divisible by 8, the last three digits of the number should be divisible by 8.

Putting y = 3, the last 3 digits become 832, which is divisible by 8.

For a number to be divisible by 11, the difference of the sum of the alternate numbers should be zero or multiple of 11.

⇒ The difference of (7 + 2 + x + 5 + 3) and (2 + 0 + 5 + 8 + 2) should be zero or multiple of 11.

⇒ 17 + x - 17 = 0

⇒ x = 0

∴ (5x + 5y) = 5(0) + 5(3) = 0 + 15 = 15

Given:

A can do the work = 4 days

B can do the work = 20 days

C can do the work = 60 days

Calculation:

One-day work of A = 1/4 days      ----(1)

One-day work of B = 1/20 days      ----(2)

One-day work of C = 1/60 days      ----(3)

Adding equations (1), (2), and (3), we get

One-day work of (A + B + C) = {(1/4) + (1/20) + (1/60)}

⇒ (A + B + C) = {(15 + 3 + 1)/60}

⇒ (A + B + C) = 19/60

One-day work of (A + B + C) = (9/72) = 19/60 days 

∴ The total work will be completed in 60/19 days.

Given:

$6\left( {sec^259^\circ - cot^231^\circ} \right) + \frac{2}{3}sin90^\circ - 3tan^256^\circ ;ytan^234^\circ = \frac{y}{3},$

Formula: 1 + tan²θ = sec²θ, tanθ = 1/cotθ

Calculation:

$\Rightarrow 6\left( {sec^259^\circ - tan^259} \right) + \frac{2}{3}sin90^\circ - 3tan^256^\circ ;ycot^256^\circ = \frac{y}{3}$

$\Rightarrow 6\left({sec^259^\circ - cot^2\left( {90^\circ; - ;59^\circ} \right)} \right) + \frac{2}{3}sin90^\circ - 3tan^256^\circ ;ytan^2\left( {90^\circ- 56^\circ } \right)= \frac{y}{3}$

$\Rightarrow 6\left( 1 \right) + \frac{2}{3}\left( 1 \right)-3y\left( 1 \right) = \frac{y}{3}$

$\Rightarrow 6 + \frac{2}{3} = \frac{y}{3} + 3y$

$\Rightarrow \frac{{20}}{3} = \frac{{10y}}{3}$

⇒ y = 2

Calculation:

Let the two numbers be 7x and 5x.

According to the question:

(7x - 40)/(5x - 40) = 27/17

⇒ 119x - 680 = 135x - 1080

⇒ 16x = 400

⇒ x = 25

∴ The difference between numbers = 7x - 5x = 2x = 2 × 25 = 50

We have, sec²θ - tan²θ = 1

⇒ (4x)² - (4/x)² = 1

⇒ 16x² - 16/x² = 1

⇒ 16(x² - 1/x²) = 1

⇒ 8(x² - 1/x²) = 1/2

As π < x < 3π/2, x lies in third quadrant.

cos x = - 1/2

⇒ x = 240°

4tan²x + 3cosec²x

⇒ 4tan²(240°) + 3cosec²(240°)

⇒ 4tan²(180° + 60°) + 3cosec²(180° + 60°)

⇒ 4tan²60° + 3(-cosec 60°)²

⇒ 4 × (√3)² + 3 × (-2/√3)²

⇒ 4 × 3 + 3 × 4/3

⇒ 16

Calculation: 

Let the height and base of ΔABC be H and B respectively, and the height and base of ΔPQR be h and b respectively.

Area of ΔABC / Area of ΔPQR = (B × H) / (b × h)

⇒ 3 / 5 = 5B / 3b

⇒ B / b = 9 / 25

∴ The ratio of the bases of triangle ABC to that of triangle PQR is 9 : 25.

Calculation: 

Total export and import in the year 2013 - 2014 = 638 + 824 = 1462

Total export and imports in the year 2014 - 2015 = 1256 + 1014 = 2270

⇒ Percentage increase in 2014 - 2015 as compared to previous year = (2270 - 1462)/1462 × 100 = 55.26%

Total export and imports in the year 2015 - 2016 = 1661 + 1137 = 2798

⇒ Percentage increase in 2015 - 2016 as compared to the previous year = (2798 - 2270)/2270 × 100 = 23.25%

Total export and imports in the year 2016 - 2017 = 1538 + 1513 = 3051

⇒ Percentage increase in 2016 - 2017 as compared to the previous year = (3051 - 2798)/2798 × 100 = 9.04%

Total export and imports in the year 2017 - 2018 = 1305 + 1658 = 2963

⇒ In the year 2017 - 2018, there is a decrease in the total export and import as compared to the previous year.

∴ In the year 2014 - 2015, the percentage increase in the total of exports and imports is the highest in comparison to the previous financial year

Calculation:

We have, ∠BOC = 90° + ½ ∠A

⇒ ∠BOC = 90° + ½ (116°)

⇒ ∠BOC = 90° + 58

∴ ∠BOC = 148°

Calculation:

By hit and trial, putting x = 8

5^∛x + 12^∛x = 13^∛x

⇒ 5^∛8 + 12^∛8 = 13^∛8

⇒ 5² + 12² = 13²

⇒ 25 + 144 = 169

⇒ 169 = 169

⇒ L.H.S = R.H.S

∴ The value of x = 8.

Calculation:

Let there is a point P(h, k) on the circle x2 + y2 = a2.

(h, k) will satisfy the equation x2 + y2 = a².

⇒ h² + k² = a² 

The equation of the chord of the contact of tangents drawn from the point P(h, k) to the circle x2 + y2 = b2 will be

hx + ky = b² 

Perpendicular distance of this tangent from the centre of the circle x2 + y2 = c2 will be equal to the radius of the circle.

$⇒ |{-b^2 \over \sqrt{h^2+k^2}}| = c$

$⇒ |{-b^2 \over a}| = c$

$⇒ b^2 = ac$

Comparing it with b^m = aⁿc^p 

⇒ m = 2, n = p = 1

∴ m + n + p - 3 = 2 + 1 + 1 - 3 = 1

Shortcut Trick

Here According to the question, the biggest circle is x2 + y2 = a2.

and second biggest circle is x2 + y2 = b2.

and the smaller circle is x2 + y2 = c2.

Now, according to the figure

we can write OA = a, OB = b, OC = c

⇒ AC = a - c

Here, we can see that ∠ABO = 90° and also ∠ACB = ∠BCO = 90° 

Now, In ΔOBC 

BC² = b² - c²      ----(1) 

In ΔABC

AB² = BC² + AC²

⇒ AB2 = b2 - c2 + (a - c)²      ----(2) 

Now, In ΔABO

AB2 = OA² - OB²

⇒ AB2 = a² - b²       ----(3)

From (2) and (3),

b2 - c2 + (a - c)2 = a2 - b2  

⇒ b2 - c2 + a2 + c2 - 2ac = a2 - b2

⇒ 2b² = 2ac

⇒ b2 = ac

Comparing it with bm = ancp 

⇒ m = 2, n = p = 1

∴ m + n + p - 3 = 2 + 1 + 1 - 3 = 1

Calculation: 

Let the speed of the first train be 5x and the speed of the second train be 7x.

Speed of the first train = Distance / Time = 300/3 = 100 km/hr

According to the question:

5x = 100

⇒ x = 20

∴ The speed of the second train = 7x = 7 × 20 = 140 km/hr.

Calculation:

\(\frac{{\left( {3\frac{1}{5}; - ;\frac{3}{5}} \right); \div ;\frac{8}{5}}}{{1\frac{1}{{7;}}; \div ;\left{ {\frac{6}{{7;}}; - ;\left( {\frac{1}{7} \div \frac{1}{5}} \right)} \right}}}\)

⇒ \(\frac{{\left( {\frac{{16}}{5}; - ;\frac{3}{5}} \right); \times ;\frac{5}{8}}}{{\frac{8}{7}; \div ;\left{ {\frac{6}{7} - \left( {\frac{1}{7}; \times ;\frac{5}{1}} \right)} \right}}}\)

⇒ \(\frac{{\left( {\frac{{13}}{5}} \right); \times ;\frac{5}{8}}}{{\frac{8}{7}; \div ;\left{ {\frac{6}{7} - \left( {\frac{5}{7}} \right)} \right}}}\)

⇒ $\frac{{\left( {\frac{{13}}{8}} \right)}}{{\frac{8}{7}; \div \frac{1}{7}}}$

⇒ $\frac{{\left( {\frac{{13}}{8}} \right)}}{{\frac{8}{7}; \times ;\frac{7}{1}}}$

⇒ $\frac{{\left( {\frac{{13}}{8}} \right)}}{8}$

∴ 13/64

The formula used: 

Profit = Selling Price - Cost Price

Calculation:

Profit = 652920 - 590828 = Rs. 62092

⇒ Profit percentage = 62092/590828 × 100

= 10.50%

Given:

The average age of four brothers = 15 years

Calculation:

 The total age of four brothers = 15 × 4 = 60 years

If their father’s age is included, the average age is increased by 5 years.

New average = 15 + 5 = 20 years

⇒ The total age of four brothers and their father = 20 × 5 = 100 years

∴ The age of father = 100 - 60 = 40 years.

Calculation:

The total import and export during the five financial years = 638 + 824 + 1255 + 1011 + 1661 + 1137 + 1548 + 1545 + 1305 + 1658 = 12582

∴ The average of total imports and export during the five financial years = 12582/5 = 2516.4

Calculation:

Let the number be 100x.

When the number is increased by 30%, then decreased by 30%, then further decreased by 30%, it becomes:

100x × [(100 + 30)/100] × [(100 - 30)/100] × [(100 - 30)/100]

⇒ 100 × (130/100) × (70/100) × (70/100)

⇒ 63.7x

Decrease in Number = 100x - 63.7x = 36.3x

∴ Percentage decrease in number = 100 × (36.3x/100x) = 36.3% ≈ 36%

Calculation: 

The total imports during 2013 - 2014, 2015 - 2016, and 2017 - 2018

= 824 + 1137 + 1658 = 3619

The total exports during 2013 - 2014, 2015 - 2016, and 2017 - 2018

= 638 + 1661 + 1305 = 3604

So, the ratio of total imports to total exports during years 2013  to 2014, 2015 to  2016, and 2017  to 2018 = 3619: 3604

Calculation:

Let the price tag on the shirt be 100x.

According to the question:

100x × (100 - 25)/100 × (100 - 20)/100 × (100 - 10)/100 = 324

⇒ 100x × 75/100 × 80/100 × 90/100 = 324

⇒ 100x = 324 × 100/75 × 100/80 × 100/90

⇒ 100x = 600

∴ The price tag on the shirt was Rs. 600

Given:

x = √3 - √2

Calculation:

⇒ 1/x = 1/(√3 - √2)

⇒ 1/x = $\frac{1}{{\sqrt 3 - \surd 2}} \times \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}$

⇒ 1/x = √3 + √2

⇒ x - 1/x = √3 - √2 - (√3 + √2)

⇒ x - 1/x = √3 - √2 - √3 - √2

⇒ x - 1/x = - 2√2

⇒ (x - 1/x)³ = ( - 2√2)³

⇒ x³ - 1/x³ - 3(x)(1/x)( x - 1/x) = - 16√2

⇒ x³ - 1/x³ - 3(- 2√2) = - 16√2

⇒ x³ - 1/x³ = - 16√2 - 6√2

⇒ x³ - 1/x³ = - 22√2

⇒ x³ - x ^{- 3} = - 22√2

Calculation: 

The total of exports and imports in 2013 - 2014 = 638 + 824 = 1462 tonnes

The total of exports and imports in 2014 - 2015 = 1256 + 1014 = 2270 tonnes

The total of exports and imports in 2015 - 2016 = 1661 + 1137 = 2798 tonnes

The total of exports and imports in 2016 - 2017 = 1538 + 1513 = 3051 tonnes

The total of exports and imports in 2017 - 2018 = 1305 + 1658 = 2963 tonnes

∴ In the year 2013 - 2014, the total of exports and imports is lower.

Formula used:

a³ + b³ + c³ = 3abc, then a + b + c = 0

Calculation:

⇒ (2x + 7) + (2x + 8) + (2x + 3) = 0

⇒ 6x + 18 = 0

⇒ 6x = - 18

⇒ x = - 3

The correct answer is option 2, i.e. India.

• India has won 8 gold medals in hockey in the history of Olympics that is the maximum.
• The Indian men’s hockey team won its first-ever gold at the London Olympics as an independent nation by beating Great Britain in 1948.
• The gold was also independent of India’s first in any Olympics event. Overall India has won 28 medals.
• India has been taking part in the Olympics from 1900 till date.

The correct answer is option 4, i.e. 28th February.

• National Science Day is celebrated on February 28 every year to remember Nobel laureate Sir C V Raman’s contribution to the field of science.
• The objective of observing National Science Day is to spread the message of the importance of science and its applications among the people.
• The theme for 2019 Science Day is 'Science for the People and the People for Science'.
• For his discovery, Sir C.V. Raman was awarded the Nobel Prize in Physics in 1930.

The correct answer is option 1, i.e. The Central Statistics Office (CSO).

The correct answer is option 2, i.e. Jharia.

• Jharia is famous for its rich coal resources, used to make coke.
• This coalfield plays a very important role in the economy and development of Dhanbad City and can be considered as a part of Dhanbad City.
• This city in the state of Jharkhand state.

The correct answer is option 3, i.e. Forrest Gander

• The Pulitzer Prize is an award for achievements in newspaper, magazine and online journalism, literature and musical competition in the USA.
• It was established in 1917.
• The Pulitzer Prize 2019 for different categories of Letters, Drama and Music as follows:

The correct answer is option 4, i.e.  Roger Federer.

• Roger Federer was born August 8, 1981, Basel, Switzerland.
• This Swiss tennis player, who dominated the sport in the early 21st century with his exceptional all-around game.
• He won a total of 20 men’s singles Grand Slam championships and this is the most in tennis history.
• He started playing tennis at age eight, became Switzerland’s junior champion when he was 14.
• In 1998 he captured the Wimbledon junior singles championship and secured the Orange Bowl junior tournament crown in Miami.
• The following year Federer made his debut on the Swiss Davis Cup team and became the youngest tennis player (at 18 years 4 months) to end the year among the world’s top 100, finishing that season at number 64.

The correct answer is option 4,i.e. Article 352.

The correct answer is option 4, i.e. Rajiv Gandhi Hyderabad International Airport - 66th.

• Hyderabad International Airport is also known as Rajiv Gandhi International Airport.
• It is 'World Airport Survey' which ranked the world's Top 100 Airports for 2019.
• It is ranked 66th position in this report.

The correct answer is option 1, i.e. Alam Ara.

• Released on 14 March 1931, Alam Ara was the first Indian sound/talkie film. The film was directed by Ardeshir Irani.
• A "talkie" film is a film in which the sound and music are in sync with the scene and picture.
• The film is based on a Parsi play written by Joseph David Penkar. The film is a love story between a gipsy girl and a prince.
• The first full-length Indian feature film was Raja Harishchandra which was a silent film and was released in 1913.

The correct answer is option 1, i.e. 28th May.

• Menstrual hygiene day is an annual awareness day observed on 28 May.
• It aims to break taboos surrounding menstruation, raise awareness of the importance of good menstrual hygiene management worldwide.
• The theme of this year is “Its time for Action.”
• Ambubachi festival celebrated in Kamakya temple( Assam) brings a different perspective to Menstruation.

The correct answer is option 2, i.e. Justice A K Sikri.

• Justice AK Sikri was recently appointed as the chairperson of the news broadcasting standards authority(NBSA) by the news broadcasters Association(NBA).
• He served as Chief Justice of the Punjab and Haryana high court and acting chief justice of Delhi high court.
• He was also appointed as an International judge of the Singapore international commercial court.

The correct answer is option 3, i.e. Mission Shakti.

• Mission Shakti is an Anti-Satellite weapon. It is called the ASAT mission.
• It was successful in targeting a live satellite in the lower earth orbit and destroying it.
• India became 4th country to achieve this feat after USA, Russia and China.

The correct answer is option 4, i.e. Naomi Osaka.

The correct answer is option 4,i.e.Tata Steel.

• Private steel major Tata Steel has been recognised as one of the World's Most Ethical Companies by the Ethisphere Institute for 2019.
• Ethisphere Institute is a global leader in defining and advancing the standards of ethical business practices.
• With this, Tata Steel has got the recognition eight times in the 'Metals, Minerals and Mining' category.

The correct answer is option 1, i.e. Consumer Price Indices (CPI).

• Consumer Price Indices (CPI), is used for indexing dearness allowance to government employees for increase in prices in India.
• There are two sets of inflation indices for measuring price level changes in India - the Wholesale Price Index (WPI) and the Consumer Price Index (CPI).
• The WPI, where prices are quoted from wholesalers, is constructed by Office of Economic Affairs, Ministry of Commerce and Industries.
• The index used by the Reserve Bank of India till 2014 to make its monetary policy was WPI.
• Presently RBI uses CPI to measure Inflation.

The correct answer is the Maldives.

• The smallest neighbouring country of India in terms of population is "Maldives".
• The Maldives became independent on 26th July 1965.
• Colonial powers dominated the islands since the mid-sixteenth century.
• It gained independence from the United Kingdom in 1965, becoming a republic in 1968.
• Mohamed Amin Didi served as the first president of the Maldives with Ibrahim Mohamed Didi served as the first Vice President.

The correct answer is option 4, i.e. Majuli Island.

• Majuli is a large river island in the Brahmaputra River, in Assam.
• Majuli is the largest river island in India.
• Majuli had a total area of 1,250 square kilometres, but due to erosion now it had an area of only 421.65 square kilometres in 2001.

The correct answer is option 2, i.e. Red Sea.

Key Points

• The Red Sea is situated between Africa and Asia.
• Strait of Gibraltar connects the Mediterranean Sea with the Atlantic ocean.
• The Black Sea is a large inland sea situated at the southeastern extremity of Europe. It is bordered by Ukraine to the north, Russia to the northeast, Georgia to the east, Turkey to the south, and Bulgaria and Romania to the west.
• The Caspian Sea is the world’s largest inland body of water. The sea is bordered on the northeast by Kazakhstan, in the southeast by Turkmenistan, in the south by Iran, in the southwest by Azerbaijan, and in the northwest by Russia.

The correct answer is option 4, i.e. Haemophilia A.

• Haemophilia A is a frequently inherited genetic disorder that impairs the body's ability to form blood clots, a process required to stop bleeding.
• This results in people bleeding longer after an injury, easy bruising, and an increased risk of bleeding inside joints or the brain.
• Those with a mild case of the disease may have symptoms only after an accident or during surgery.
• Bleeding into a joint can result in permanent damage while bleeding in the brain can result in long term headaches, seizures or a decreased level of consciousness.

The correct answer is option 1,i.e. Intel.

• Intel is an American company which specializes in the manufacturing of Processor chips(Integrated Circuits).
• It is headquartered in California. The company’s name comes from “integrated electronics.”
• Windows, Linux and Unix are the operating systems.

The correct answer is option 1, i.e. Mahatma Gandhi.

• Mahatma Gandhi was awarded the Kaisar-e-Hind in 1915 by Lord Hardinge of Penshurst.
• He got it for his contribution to ambulance services in South Africa.
• Gandhi returned the medal in 1920 as part of the national campaign protesting the Jallianwala Bagh massacre.
• The Kaisar-e-Hind Medal for Public Service in India was a medal awarded by the British monarch to civilians of any nationality who rendered distinguished service in the advancement of the interests of the British Raj.

The correct answer is option 2, i.e. Pulakeshin II.

• Pulakeshin II defeated Harshvardhana in 618 CE.
• He was the most famous ruler of the Chalukya dynasty.
• During his reign, the Chalukyas of Badami saw their kingdom extend over most of the Deccan region.

The correct answer is option 2, i.e. Kalidasa.

The correct answer is option 2, i.e. Extranet.

• Extranet refers to a network within an organization, using the internet to connect to the outsiders in a controlled manner.
• It helps to connect businesses with their customers and suppliers and therefore allows working in a collaborative manner.
• It is implemented as a Virtual Private Networks (VPN) because it uses the internet to connect to corporate organization and there is always a threat to information security.
• VPN offers a secure network in public infrastructure.

The correct answer is option 4, i.e. Meira Kumar.

• Meira Kumar was the speaker of the 15th Lok Sabha.
• She was the first woman to become the speaker of Lok Sabha.
• The book “Indian Parliamentary Diplomacy- Speaker’s Perspective” is written by Meira Kumar.
• Sumitra Mahajan was the second woman after Meira Kumar and she headed the 16th Lok Sabha.
• The current speaker is Om Birla of the Bharatiya Janata Party, who is presiding over the 17th Lok Sabha.