SSC CHSL Previous Paper 15 (Held On: 8 July 2019 Shift 2) (Previous Year Paper)

• The correct answer is Option 2.
• The given sentence is in Present perfect tense so the underlined phrase should also be in the present perfect tense.
• Therefore, option 1 gets eliminated.
• Option 3 is wrong because it is in the past perfect tense.
• Option 4 is wrong because it is in the present continuous tense.
• Therefore, the correct answer is 'and have received' which is in the present perfect tense.

Pitfall: Potential problem, hazard, or danger.

(The store fell into one of the major pitfalls of small business, borrowing from suppliers by paying bills late)

• Haven: A place of safety; a refuge or sanctuary.
  

(The garden was a haven from the noise and bustle of the city.)

• Retreat: The act of pulling back or withdrawing.
  

Attacks by enemy aircraft forced the tanks to retreat (from the city).

• Refuge: A state of safety, protection or shelter.
  

She had fled from her violent husband to a women's refuge.

• Hazard: An obstacle, to risk, the chance if suffering harm.
  

The busy traffic entrance was a hazard to pedestrians.

Therefore, out of given alternatives, the word 'hazard' gives the most appropriate meaning of the given word.

• The correct answer is Option 2.
• The meaning of the given idiom 'In a Pickle' means 'In a troublesome or difficult situation'.
• Option 1 is wrong because 'in jubilation' means 'to be very happy' which is opposite to the meaning of the given idiom.
• Option 3 'in great pain' means 'an ache or bodily suffering' which gives nearest meaning to the idiom but not the exact meaning of the idiom.
• Option 4 'in deep sorrow' means 'unhappiness, to express grief' also gives nearest meaning to the idiom but not the exact meaning of the idiom.
• Therefore, the correct answer is 'in trouble' which gives the exact meaning of the given idiom.

• The correct answer is Option 3.
• The meaning of the given words:
• Adamant: firm, unshakeable, determined.
• Abominable: hateful, detestable; loathsome.
• Amenable: Willing to respond, agreeable.
• Adorable: Befitting of being fond of, cute od loveable.
• Therefore, out of given options, the word 'Amenable' satisfies the meaning of the given context.

• The correct answer is Option 4.
• The sentence is talking about the person with good deeds, so the blank should be filled with a word that is positive or which gives the meaning of having a good character.
• The meaning of the given words:
• Vicious: Violent, destructive and cruel.
• Virtual: In effect or essence.
• Violent: Involving extreme force or motion, involving physical conflict.
• Virtuous: full of moral principles, good, righteous.
• 'Virtuous' is the most appropriate word that fits the blank because such people with good, moral principles are remembered even after death.

• The correct answer is Option 1.
• The meaning of the given words:
• Vital: very important, that which is necessary.
• Essential: very important, necessary.
• Trivial: Ignorable, negligible.
• Needless: Unnecessary,
• Insignificant: Not important.
• Therefore, out of given options, the word 'essential' gives the most appropriate meaning of the given word. All other options are opposite to the given word.

• The correct answer is Option 2.
• The answer does not begin from sentences A, B & C because these sentences are beginning with pronouns(We, they) and conjunction(yet).
• The only independent sentence we have is D which is our first sentence.
• Sentence D is talking about two subjects i.e. 'men' and 'women'. Sentence C is beginning with a pronoun 'they' which refers to 'men and women'.
• Sentence C is talking about the sacrifices made by men and women which is continued by sentence B saying that we fail to appreciate these sacrifices. Sentence A beginning with 'we even fail to' shows that this is a continuation of sentence B.
• This sequence of DCBA is given in option 2.

Key Points

• The meaning of the given idiom 'Red letter day' means 'any day of special significance or opportunity'.
• Therefore, option 1 'a very special day' satisfies the meaning of the given idiom.
• Example: Tomorrow is her red-letter day, she always celebrates it with a big party.

​

Additional Information

• Origin: The term came into wider use in 1549 when the first Book of Common Prayer included a calendar with holy days marked in red ink; for example, Annunciation (Lady Day), 25th March, was designated in the book as a red-letter day.

The correct answer is Option 1.

• When the Reporting Verb is in the Present Tense of Future Tense, there is no change in the Verb of the Reported Speech.
• The given sentence is in present indefinite tense, hence, 'She says' will remain same (not be changed into 'said to').
• If there is any Universal Truth or Habitual Truth in the Reported Speech, there is no change in the Reported Speech.
• The reported speech is a routine action, hence, it will not be changed.
• PRONOUN change - According to the First-Person=Subjective form, according to the Second Person=Object form and in Third Person=No change.)
• 'First-person' changes to the subject i.e. 'I' changes to 'she'.
• Singular "she" will take 's/es' with its verb i.e. 'go' changes to 'goes'.
  

Therefore, this structure is followed in Option 1 'She says that she goes for a walk every morning'.

• The correct answer is Option 3.
• The meaning of the given words:
• Novel: Something new; A work of prose fiction.
• Fresh: Newly produced or obtained; recent.
• New: Recently made or created.
• Old: of an earlier time.
• Original: relating to the origin or beginning.
• Therefore, out of given options the word 'old' is the most opposite word and all other words are synonyms of the given word.

• The correct answer is Option 4.
• The correct spelling of 'acheive' is 'achieve' which means 'to succeed, accomplish'.
• The meaning of the other words:
• Receive: to incur, take what is offered.
• Grieve: To feel very sad, to mourn.
• Believe: To accept as true.

• The correct answer is Option 3.
• Omit 'from'. The word 'asked' does not take any prepositions with it.
• Therefore, the correct sentence is 'He asked me if I was interested in a career in modelling'.

The correct answer is option 4) i.e. pursue.

• pursue: follow or chase (someone or something).

The correct answer is option 4) i.e. of the king's.

• In the given sentence both 'of ' and apostrophe with 'king' has been used which is wrong.
• Because both 'of' and apostrophe are used to show possession, hence, 'the picture of the king' will be used.
• So, the correct sentence will be: The picture of the king is exactly like the king himself.

The correct answer is option 2) i.e. the ball was thrown towards his little brother.

• The given sentence is in the past indefinite tense, hence, while changing it into the passive voice, was+thrown will be used.
• And the object i.e. ball will be made the subject.
• All these rules are followed in option 2), hence, it will be the correct answer.

The correct answer is option 2) i.e. ingredients.

• 'Ingredients' means one of the 'substances present in a mixture, especially food'.
• In the given sentence, we are talking about making ice cream, hence, 'ingredients' is the most appropriate word to be used in the blank.
• 'Elements' means 'an important part of something abstract'.
• 'Particles' means 'a minute/extremely small portion of matter'.
• 'Goods' means 'Possessions' or 'general articles'.

Hence, option 2)

The correct answer is option 1) i.e. 'different.'

• 'Different' means 'dissimilar in forms, state, uniformity'. For example, 'A book', 'black colored trousers'.
• The given phrase talks about ice cream and the word after the blank is 'flavors (the plurality of 'flavors), hence, the word that will come in the blank will talk about the 'variety' of flavors.
• But in the option, we do not 'variety of', so, the most appropriate word from the given options is 'different' which makes the sentence grammatically and contextually correct.
• 'Unlike' represents 'inequality' of things'.
• 'Various' represents an 'indefinite number of things/commodities'. It does not fit in the context as the number of flavors are 'fixed' and 'definite'.
• 'Variety' is 'absence of uniformity', 'different in same things'. For example, 'a blue colored sweater and a white-colored sweater'.
• Hence, option 1)

The correct answer is option 2) i.e. 'With'.

• The phrase 'Let's start' can also mean 'Let's start with...' because the phrase needs a help of a subject to commence'.
• 'With' is also used to express 'togetherness', 'to carry on with something', 'to move further with a subject'.
• 'From' as a preposition represents 'starting point (of time and of place)'. The phrase does not expresses about any starting point.
• 'By' as a preposition represents 'Agent', 'An action of agent'.
• 'Off' represents 'separation' or 'disconnection' that is not relevant in this case.

Hence, option 2)

The correct answer is option 1) i.e. narrowed.

• 'Narrow/Narrowed' means 'to reduce the number of possibilities'.
• This fits best in the context of the given sentence as the phrase conveys the idea 'I have' and 'down to my two favourite manufacturers.' 'Down' means 'Narrowed' or 'Narrowed down'.

Hence, option 1)

The correct answer is option 1) i.e. makes.

• The given sentence should be in the present indefinite tense because it talks about a routine action i.e. making of ice cream on a daily basis.
• Hence, options 2 and 3 cannot be the correct answer.
• In the given sentence we have to choose one option, hence, the subject is singular and it will take a singular verb with it, hence, option 1) i.e. makes is the most appropriate option to fill in blank 1.

The correct answer is option 1) i.e. overwhelmed.

• overwhelmed: have a strong emotional effect on.
• The given sentence talks about a strong emotion of joy, hence, the most appropriate word to fill in the blank is overwhelmed.
• Overpower: defeat or overcome with superior strength.
• Overturned: turn over and come to rest upside down.
• Overruled: reject the decision or opinion of.

The correct answer is option 1) i.e. CADB.

• The only independent sentence from the given sentences is 'C', hence, it will be the first sentence.
• So, options 2 and 4 cannot be the correct answer.
• The sentence, A, talks about the hobbies and in sentence D, the pronoun 'them' has been used for 'activities and hobbies'. This makes the 'AD' a correct pair here.
• The word 'thus' used in the sentence 'B' shows the conclusion, hence, it will be the last sentence.
• So, the correct sequence is CADB.

The correct answer is option 3) i.e. is caught in.

• When two subjects are connected with 'as well as' the verb always agrees with the first subject.
• In the given sentence, the first subject is 'the commander' and that is a singular subject, hence, a singular verb i.e. 'is' will be used for it.
• So, the correct substitution is 'is caught in'.
• Note: other words with which this rule is followed are: unlike, along with, with, besides, in addition to, but, etc.

The correct answer is option 2) i.e. auspicious.

• ominous: giving the worrying impression that something bad is going to happen.
• auspicious: giving or being a sign of future success/ Suggesting a positive, hence, this is the most appropriate antonym of the given word.
• foreboding: a feeling that something bad will happen.
• threatening: having a hostile or deliberately frightening quality or manner.
• baleful: having a harmful or destructive effect.

The correct answer is option 1) i.e. opaque

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

• Opaque: not able to be seen through
• Invisible: unable to be seen.
• Magical: relating to, using, or resembling magic.
• Transparent: allowing light to pass through so that objects behind can be distinctly seen.
  

Hence from the above-given meanings, we find that the correct answer is option 1 i.e. opaque

When the paper is folded it will appear as in the following figure:

Hence, the correct answer is option 1.

The total number of triangles is: ABP, PSN, PKT, PGA, PGB, PUN, PUS, PVT, PVK, PAI, PJA, PJI, PLH, PYL, PYH, PMR, PXM, PXR, PQO, PWO, PWQ, PBZ, BCD, ABI, PEF.

Hene, there are total 25 triangles present in the figure.

Given series:

(145, 65, 115)

The pattern followed here is,

145 + 115 = 260; 260 ÷ 4 = 65

Option 1:

(185, 65, 170) = 185 + 170 = 355; 355 ÷ 4 = 88.75 ≠ 65

Option 2:

(130, 70, 100) = 130 + 100 = 230; 230 ÷ 4 = 57.5 ≠ 70

Option 3:

(185, 70, 95) = 185 + 95 = 280 ÷ 4 = 70

Option 4:

(80, 50, 110) = 80 + 110 = 190 ÷ 4 = 47.5 ≠ 50

Except option 3 all options do not follow the given series.

Hence, the correct answer is (185, 70, 95).

The pattern followed here is,

Hence, BDGJ is the odd one out.

Given series: (8, 39, 5)

The pattern followed here is,

(Difference between squares of first and last term = Middle term)

8² → 64; 5² → 25;

64 - 25 = 39

Option 1:

11² → 121; 8² → 64;

121 - 64 = 57 ≠ 67

Option 2:

9² → 81; 4² → 36;

81 - 36 = 45 ≠ 55

Option 3:

14² → 196; 9² → 81;

196 - 81 = 115

Option 4:

10² → 100; 6² → 36;

100 - 36 = 64 ≠ 60

Hence, the correct answer is (14, 115, 9).

The family tree is drawn

S × M ÷ U + L × Z - I means S is the father of M, M is the brother of U, U is the sister of L, L is the father of Z and Z is the son of I.

As per the diagram I is the wife of L so L is the husband of I.

Hence, the correct answer is husband

The lines are added up and rotated in the clockwise direction in every step,

Similarly, the circles are added up in every step in the clockwise direction.

Hence, the correct answer is option 4.

Here, the temple is a place of worship. Similarly, School is a place of education.

Hence, the correct answer is School : Education

The pattern followed here is,

336 = 3 + 3 = 6

224 = 2 + 2 = 4

448 = 4 + 4 = 8

226 = 2 + 2 = 4 ≠ 6

Hence, the correct answer is 226.

6 is a common number in both dices so, now if we rotate the dice from 6 anticlockwise or clockwise directions. From the above diagram, it is evident that “1 is opposite to 4 and 2 is opposite to 5”.

Therefore, “6 is opposite to 3”

Hence, the correct answer is 6.

The pattern followed here is,

Hence, the correct answer is 280.

‘Mercury’ is one kind of metal,

Similarly, “Frog” is one kind of amphibian.

Hence, the correct answer is amphibian.

Some women are lawyers and some sons are also lawyers.

Hence, the correct answer is option 1.

In a code language,

Similarly,

Hence, the correct answer is QNNKINCEK.

Hence, the correct answer is option 1.

The given series is

11 : 120 i.e. 11² = 121; 121 - 1 = 120

Similarly,

Option 1:

2² = 4; 4 - 1 = 3 (it follows).

Option 2:

12² = 144 (does not follow).

Option 3:

8² = 64 + 1 = 65 (does not follow).

Option 4:

17² = 289 (does not follow).

So, except option 1, all options do not follow the given series.

Hence, the correct answer is 2 : 3.

Conclusions:

I. Some vitamins are plants → true (as per the diagram, some vitamins are plants, hence, it is true)

II. Some vitamins are vegetables → true (as all vegetables are vitamins, some vitamins will definitely be the vegetables).

III. No vitamin is plant → False (It is not possible).

Hence, only conclusions I and II follow.

The given expression is

779 + 14 × 21 - 532 ÷ 41 = 807

Option 1: 21 and 41

We get,

779 + 14 × 41 - 532 ÷ 21

= 779 + 14 × 41 - 532 ÷ 21

= 779 + 574 - 25.33

= 1353 - 25.33

= 53.41 ≠ 807

Option 2: 532 and 779

532 + 14 × 21 - 779 ÷ 41

= 532 + 14 × 21 - 19

= 532 + 294 - 19

= 826 - 19

= 807

Option 3: 532 and 41

779 + 14 × 21 - 41 ÷ 532

= 779 + 294 - 0.077

=1073 - 0.077

= 1072.92 ≠ 807

Option 4: 779 and 21

21 + 14 × 779 - 532 ÷ 41

= 21 + 10906 - 12.97

= 10927 - 12.97

= 10914.03 ≠ 807

Hence, the correct answer is 532 and 779.

The logical meaningful order is followed by

Setting up alarm clock → Alarm Bell ringing → Getting dressed and be ready → Reach examination center → Solving question paper → Returning answer book.

Hence, the correct answer is 1, 3, 5, 4, 2, 6.

Here all options are the names of diseases except option 3.

Hence, 'Hormone' is the odd one out.

The option in which the given figure is embedded is,

Hence, the correct answer is option 4.

According to the alphabetical positions of the letters,

The code for CALLOSUM can be written as,

Similarly,

The code for CEREMONY is

Hence, the correct answer is 35954657.

Given∶ A + C = 330      ---- (1)

Now, in the question, it is mentioned that A takes Rs. 10 from B

∴ Amount of A will be (A + 10), then A will have Rs. 4 less than C

⇒ A + 10 = C - 4

⇒ A + 14 = C      ---- (2)

From equation (1) and (2)

⇒ C - 14 + C = 330

⇒ 2C = 330 + 14

⇒ C = 344/2 = 172

Hence, C have 172 rupees.

The series is followed

u u c m- p m m j/ u u c m- p m m j/ u u c m- p m m j

Therefore, the series is "u u c m-p m m j"

Hence, the correct answer is ucmjpumj.

The pattern followed here is,

For DHMR : BJKT,

Similarly, for XCOE,

Hence, the correct answer is VEMG.

Given:

sinθ = 3x and cosθ = 3/x, (x ≠ 0)

Calculation:

Sin²θ + cos²θ = (3x)² + (3/x)²

1 = 9(x² + 1/x²)

1/9 = (x² + 1/x²)

∴ the value of 6(x² + 1/x²) = 6 × 1/9 = 2/3.

Calculation:

Follow the BODMAS rule to solve this question, as per the order given below,

Step-1-Parts of an equation enclosed in 'Brackets' must be solved first,

Step-2-Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3-Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4-Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Now, given the expression:

\(\Rightarrow ;1 \div \left[ {1\frac{1}{8} \div \frac{{\left( {3\frac{1}{5}; + ;\frac{3}{5}} \right); \div ;\frac{8}{5}}}{{\left{ {\frac{5}{8}; + ;\left( {\frac{1}{8} \div ;\frac{1}{3}} \right)} \right}}}} \right]\)

\(\Rightarrow {\rm{;}}1 \div \left[ {\frac{9}{8} \div \frac{{\left( {\frac{{16}}{5}{\rm{;}} + {\rm{;}}\frac{3}{5}} \right){\rm{;}} \div {\rm{;}}\frac{8}{5}}}{{\left{ {\frac{5}{8}{\rm{;}} + {\rm{;}}\left( {\frac{1}{8}{\rm{;}} \times {\rm{;}}\frac{3}{1}} \right)} \right}}}{\rm{;}}} \right]\)

$\Rightarrow {\rm{;}}1 \div \left[ {\frac{9}{8} \div \frac{{\frac{{19}}{5}{\rm{;}} \times {\rm{;}}\frac{5}{8}}}{{\frac{5}{8}{\rm{;}} + {\rm{;}}\frac{3}{{8{\rm{;}}}}}}} \right]{\rm{;}}$

$\Rightarrow ;1 \div [\frac{9}{8} \times \frac{8}{{19}}$

⇒ 1÷ [9/19]

⇒ 19/9

Calculation:

Let the numbers be 3a and 4a.

According to the question,

(3a + 30)/(4a + 30) = 9/10

⇒ a = 5

∴ Numbers = 15 and 20.

Shortcut Trick

The formula for the length of the transverse common tangent (TCT) is √(d² − (R + r)²).

Here, distance (d) = 10 cm, R = 4 cm, and r = 2 cm.

⇒ Sum of radii (R + r) = 4 + 2 = 6 cm.

⇒ Length of TCT = √(10² − 6²)

⇒ Length of TCT = √(100 − 36) = √64 = 8 cm.

∴ The correct answer is 8 cm.

Alternate Method

Given:

Radius of 1^st circle (R) = 4 cm

Radius of 2^nd circle (r) = 2 cm

Distance between centers (d) = 10 cm

Formula Used:

Length of transverse common tangent = √[(Distance between centers)² − (Radius₁ + Radius₂)²]

Calculations:

⇒ Let the length of the transverse common tangent be L.

⇒ L = √[10² − (4 + 2)²]

⇒ L = √[100 − 6²]

⇒ L = √[100 − 36]

⇒ L = √64

⇒ L = 8 cm

∴ The correct answer is 8 cm.

Additional Information

Direct Common Tangent (DCT)

The length of the direct common tangent is given by √[d² − (R − r)²], where circles lie on the same side of the tangent.

Existence of TCT

A transverse common tangent exists only if the distance between the centers (d) is greater than the sum of the radii (R + r).

Number of Common Tangents

If d > R + r, there are 4 common tangents (2 DCT and 2 TCT). If d = R + r, there are 3 common tangents.

Calculation:

Let the length and breadth of the rectangle both be 10 units.

Area of rectangle = L × B = 10 × 10 = 100 units

New length and breadth of the rectangle be = 10 + 10 × 13/100 = 11.3 units

New area of rectangle = 11.3 × 11.3 = 127.69 units

Percentage change = (127.69 - 100)/100 × 100 = 27.69%

∴ The percentage change is 27.69%

Given:

4(cosec2 66° - tan2 24°) + $\frac{1}{2}$sin 90° - 4 tan266°.y.tan2 24° = $\frac{y}{2}$

Calculation:

4[cosec²66° - tan²(90° - 66°)] + $\frac{1}{2}$sin 90° - 4 tan²66°.y.tan² (90° - 66°) = $\frac{y}{2}$

∵ tan (90 - θ) = cotθ

⇒ 4[cosec²66° - cot²66°] + $\frac{1}{2}$sin 90° - 4 tan²66° × y × cot²66° = $\frac{y}{2}$

∵ cosec2θ = 1 + cot2θ

⇒ 4[1] + $\frac{1}{2}$ – 4y = $\frac{y}{2}$

⇒ 4 + $\frac{1}{2}$ = $\frac{{9y}}{2}$

⇒ $\frac{9}{2}$ = $\frac{{9y}}{2}$

⇒ y = 1.

Calculation:

From the above figure,

Theorem: If in a ΔABC, the bisectors of ∠B and ∠C meet at O then

∠BOC = 90° + (∠A/2)

⇒ 156° = 90° + x/2

⇒ 66° = x/2

⇒ x = 132°

Using basic proportionality theorem,

PB × PA = PD × PC

⇒ 4 × 10 = PD × (PD + 3)

⇒ (PD)² + 3PD - 40 = 0

⇒ PD = 5  or - 8 

PC = CD + DP

PC = 3 + 5 = 8 cm

Given:

(x - 7)3 + (2x + 8)3 + (2x - 3)3 = 3(x - 7) (2x + 8) (2x - 3) 

Calculation: 

Let (x - 7), (2x + 8), and (2x - 3) be a, b, and c.

Now the equation can be written as,

⇒ a³ + b³ + c³ = 3abc

⇒ a3 + b3 + c3 - 3abc = 0

⇒ a3 + b3 + c3 - 3abc = (a + b + c )(a2 + b2 + c2 - ab - ac - bc)

⇒ (a + b + c) = 0

⇒ (x - 7) + (2x + 8) + (2x - 3) = 0

⇒ 5x = 2

⇒ x = 0.4

The number of students taken for all years together from school A = (640 + 800 + 500 + 700 + 900 + 750) = 4290

The number of students taken for all years together from school B = (550 + 820 + 600 + 750 + 500 + 480) = 3700

Required ratio = 4290 : 3700 = 429 : 370

The percentage increase in students in school A from year 2008-2009 = (800 – 640)/640 × 100 = 25%

The percentage decrease in students in school A from year 2009-2010 = (800 - 500)/800 × 100 = 37.5%

The percentage increase in students in school A from year 2010-2011 = (700 - 500)/500 × 100 = 40%

The percentage increase in students in school A from year 20011-2012 = (900 - 700)/700 × 100 = 28.57%

The percentage increase in students in school A from year 20012-2013 = (900 - 750)/900 × 100 = 16.66%

∴ The percentage increase of students in school A is the highest in comparison to its previous year 2011.

The average of the number of students from school A during the six year period = (640 + 800 + 500 + 700 + 900 + 750)/6 = 4290/6 = 715

The absolute difference of the students in two schools in year 2008 = 640 – 550 = 90

Difference between the numbers of students in year 2009 = 820 – 800 = 20

Difference between the numbers of students in year 2010 = 600 – 500 = 100

Difference between the numbers of students in year 2011 = 750 – 700 = 50

Difference between the numbers of students in year 2012 = 900 – 500 = 400

Difference between the numbers of students in year 2013 = 750 – 480 = 270

The absolute difference between the numbers of students in two schools is the lowest in year 2009.

Calculation:

Total work = LCM of the time taken by A and B.

Total work = 30

Efficiency = total work/time taken

Efficiency of A = 30/15 = 2 units/day

Efficiency of B = 30/10 = 3 units/day

The share was given in the ratio of their efficiencies = 2 : 3

(2 + 3) units = 35000

1 unit = 7000

∴ B’s share = 3 × 7000 = 21000

Calculation:

Check using n = 1, 2, 3….. and so on.

Number = (6n + 3)² = (6 × 1 + 3)² = 81

The remainder on dividing 81 by 9 is 0.

Calculation:

By eliminating options 1 and 3 the square root of 2 and 8 can not be calculated.

Now by going through rest options,

⇒ ${6^{\sqrt[4]{x}}} + {8^{\sqrt[4]{x}}} = {10^{\sqrt[4]{x}}}$ 

$\Rightarrow {\rm{;}}{3^{\sqrt[4]{x}}} + {4^{\sqrt[4]{x}}} = {5^{\sqrt[4]{x}}}$

⇒ 3² + 4² = 5²

⇒ 25 = 25

So value of x = 16

Calculation: 

The average age of 15 persons = 32

Sum of age of 15 persons = 32 × 15 = 480

The average age of 17 persons = 32 + 3 = 35

Sum of age of 15 persons = 35 × 17 = 595

Sum of age of 2 new persons = 595 – 480 = 115

Difference of 2 new persons = 7

∴ Age of youngest person = (115 – 7)/2 = 54

Calculation:

cos x = (-√3/2) = cos(180° + 30°) (∵π < x < 3π/2)

x = 210°

∴ The value of (2cot²x + 3sec²x) = 2 × (√3)² + 3 × 4/3

⇒ 6 + 4 = 10

Calculation:

To make a triangle 3 points are needed

∴ The number of triangles that can be drawn = ¹¹C₃

⇒ 11!/(8! × 3!)

⇒ 11 × 10 × 9 × 8!/(8! × 3!) = 165

Calculation:

The ratio between the speeds of two trains = 2 ∶ 5

Speed of 1^st train = 350/5 = 70 km/hr

Speed of 2^nd train = 70 × 5/2 = 175 km/hr

The sum of the speeds of the trains = 70 + 175 = 245 kmph

Calculation:

Marks of A = Marks of B + 8

According to the Question,

A = (A + B) × 60/100

⇒ A – 3A/5 = 3B/5

⇒ 2A/5 = 3B/5

⇒ A/B = 3/2 = 3 : 2

Difference of marks = (3 - 2) = 1 unit = 8 marks

⇒ Sum of the marks (5 units) = 5 × 8 = 40 marks

Sum of marks obtained by A and B = 40

Given:

x = 2 + √3

Formula Used:

(x + y)3 = x3 + y3 + 3xy(x + y)

(x – y)(x + y) = x² – y²

Calculation:

x = 2 + √3

1/x = 1/(2 + √3)

⇒ (2 – √3)/[(2 + √3) × (2 – √3)]

⇒ (2 – √3)/(4 – 3)

⇒ (2 – √3)

(x – 1/x) = (2 + √3) – (2 – √3)

⇒ 2√3

Upon taking cube on both sides,

⇒ (x – 1/x)³ = (2√3)³ 

⇒ x³ – 1/x³ – 3 × x × (1/x) × (x – 1/x) = 24√3

⇒ x³ – 1/x³ – 3 × 2√3 = 24√3

⇒ x³ – 1/x³ = 30√3

∴ The value of x3 – x-3 is 30√3.

Given:

The sum of the salaries of A and B together is Rs. 43000

A's expenditure = 95% of his salary 

B's expenditure = 80% of his salary 

Calculation:

Let the salary of A be x.

Salary of B = 43000 – x

Saving of A = 100 – 95 = 5%

Saving of B = 100 – 80 = 20%

According to question,

x × 0.05 = (43000 – x) × 0.2

⇒ 0.25x = 8600

⇒ x = 34400

∴ B’s salary = 43000 – 34400 = 8600

Calculation:

Cost price of dealer = 20000 × (90/100) × (92/100) + 1440 = 180 × 92 + 1440

⇒ 180 × (100 - 8) + 1440

⇒ 18000 – 1440 + 1440 = 18000

Selling price = 20000

Profit percentage = (20000 – 18000)/18000 × 100 = 11.1% profit

Calculation:

Let the principal amount be P.

Amount = CI + P = 6963 + P

Using formula,

A = P(1 + r/100)ⁿ

⇒ 6963 + P = P(1 + 11/100)²

⇒ 6963 + P = P(111/100)2

⇒ 6963 = P(111/100)² - P

⇒ 6963 = P [(111/100)2 - 1]

⇒ 6963 = P [(12321/10000) - 1]

⇒ 6963 = P [2321/10000]

⇒ P = 30000

Simple interest = P × R × T/100 =

30,000 × 11 × 2/100

= Rs. 6600

∴ Simple interest  is  Rs. 6600

The correct answer is option 1, i.e. Mahmud of Ghazni.

• Sultan Mahmud of Ghazni attacked India 17 times in order to plunder the wealth from the country.
• It was the first Turkish invasion in the country.
• He raided the Somnath Temple on the coast of Kathiawar in the year 1025 AD and the temple was destroyed in the year 1026 AD.
• Al-Biruni was made hostage by Mahmud of Ghazni.
• Al-Biruni was from Khwarazm and was an Iranian scholar.
• The title "founder of Indology" has been given to Al-Biruni.
• He spent many years in Ghazni and was made astrologer in the court of Mahmud of Ghazni.
• Kitab-ul-Hind is an Arabic text written by him, wherein, he comments on Indian customs, sciences, social organization, and Hindu beliefs.

The correct answer is option 3, i.e. Ethiopia.

• UNICEF Goodwill Ambassador Priyanka Chopra travelled to Ethiopia to meet refugee children who have fled their countries due to conflict and humanitarian crises.
• Ethiopia is home to 900,000 refugees – the second-largest refugee population in Africa.
• Most were forcibly displaced from their homes in Somalia, South Sudan, Eritrea, Sudan, and Yemen. Many have crossed borders in search of peace or a better life, facing deadly dangers and discrimination along the way.

The correct answer is option 4, i.e. Condensation.

Concept:

Explanation:

From the above explanation, we can see that 

Condensation: In this process, the gaseous phase of an object tends to convert into liquid form due to change in pressure and temperature.

Hence option 4 is correct among all

The correct answer is option 1, i.e. Sonam Wangchuk.

• Bharat Vatwani and Sonam Wangchuk were among the winners of the Ramon Magsaysay Award 2018.
• Bharat Vatwani is a psychiatrist who works for mentally-ill people living on the streets.
• The Ramon Magsaysay Award is often referred to as the Asian version of the Nobel Prize.
• Sonam Wangchuk, a mechanical engineer/scientist has revolutionized the teaching methods in the hilly areas of Jammu and Kashmir and Ladhak.
• His speciality includes coming up with low-cost solutions to modern-day problems with minimal resources but the highest efficiency.
• A character named "Phunsukh Wangdu"  in the film " 3 Idiots" is inspired by him.
• Wangchuk builds Ice Stupas to facilitate irrigation in the desert areas of the western Himalayas.
• In 1988, he founded SECMOL (Students’ Educational and Cultural Movement of Ladakh).
• This school especially teaches only those students who have failed in their exams and not even those who score fewer marks.
• Ramon Magsaysay Award was awarded to him in the year 2018. (considered the Nobel Prize in the East)

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

The correct answer is option 3, i.e. Shaheen II.

• Pakistan has performed a successful training launch of a Shaheen-II surface-to-surface medium-range guided ballistic missile that has the ability to hit targets up to a range of 1,500km.
• Designed and developed by the NESCOM and the National Defence Complex (NDC) of Pakistan, the missile can carry both conventional and nuclear warheads.

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

• The process of Arbitrage refers to the simultaneous buying and selling of an asset from different platforms, exchanges or locations to cash in on the price difference.
• In this case, only the price difference is captured as the net pay-off from the trade.
• The pay-off should be large enough to cover the costs involved in executing the trades.

The correct answer is Jammu and Kashmir.

• Chakri is one of the most popular types of traditional music played in Jammu & Kashmir.
• Chakri is a responsorial song form with instrumental parts, and it is played with instruments like the harmonium, the rubab, the sarangi, the nout, the geger, the tumbaknaer and the chimta.

• Here the question is about traditional music so the answer is Jammu and Kashmir.
• Chakri Folk Dance:
• Chakri dance is believed as the same as the Raai dance of the ‘Beriyas’ tribe of Madhya Pradesh.
• Devi Lal Sagar made this dance popular.
• It is performed in the Hadoti region of Bundi, Kota & Baran District.
• It is performed By Women of the Kanjar tribe on the occasion of Marriages & Festivals of the Hadoti Region.

• The act re-constituted the former state of Jammu and Kashmir into two union territories, Jammu and Kashmir and Ladakh, with effect from 31 October 2019.

The correct answer is option 4, i.e. Dipa Karmakar.

• Dipa Karmakar is the first Indian gymnast to win a Gold medal at a Global Event in the World Challenge Cup in Turkey.
• She is from Agartala, Tripura.
• She has been coached by veteran Bisbeshwar Nandi.
• Since 2007, she has won 77 medals including 67 gold, in-state, national and international championships.
• She won a bronze medal at the 2014 Commonwealth Games and at the Artistic Gymnastics Asian Championships in Hiroshima, Japan.

The correct answer is option 2, i.e. National Highway Number 1.

Key Points

• Sher Shah Suri Marg is also known as National Highway Number 1 (NH1) in India.
• It's a major part of the old Grand Trunk Road, a historic trade route that ran through the Indian subcontinent, from Bangladesh to Afghanistan.
• Sher Shah Suri, the emperor of Northern India in the 16th century, is credited with reviving and refurbishing this important route.

Additional Information

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

• Jawaharlal Nehru Port is located in Mumbai, Maharashtra.
• It is the first port in the country to implement logistics data tagging of containers.
• The port implemented the logistics data tagging of containers which will help importers and exporters track their goods in transit.
• An RFID (Radio Frequency Identification Tag) tag would be attached to each container and tracked through RFID readers installed at different locations.

• MP Local Area Development Scheme was implemented by the Government of India on 23 December 1993.
• At the beginning of the scheme, it was administered by the Ministry of Rural Development and later in October 1994 it was handed over to the Ministry of Statistics and Program Implementation.
• A member of the Lok Sabha represents the parliamentary constituency from which he comes and members of the Rajya Sabha represent the entire state and may elect one or more districts to act voluntarily.
• The main objective of the Government of India behind the implementation of this scheme was that the MPs should go to the local level in their area to understand and solve the problems so that the public can get basic facilities like electricity, water, rail, health, education, roads, food. And social, economic, political, cultural, geographical material development of the people can be done.
• Each MP can make the District Magistrate aware of the work up to 2500000 for working in his / her chosen constituency and after the year 2011-12 this amount was increased to five crore.
• **However, for any natural disaster like tsunami earthquake, volcanic flood, etc., this amount can increase even more.**​

The correct answer is option 3, i.e. 20 May.

• World Metrology Day is observed every year on 20 May.
• It commemorates the anniversary of the signing of the Metre Convention in 1875.
• The theme for World Metrology Day 2019 is The International System of Units - Fundamentally better.

The correct answer is option 3, i.e. 105.

• Article 105 of the Indian Constitution, deals with the 'Parliamentary Privileges' enjoyed by the MPs so as to enable them to discharge their legislative duties.

The correct answer is option 3, i.e. Running.

• The sheets printed with numbers used to identify each runner in a race.
• It is also called “bib numbers”.
• Bib numbers have many event applications, including:
• Marathons
• Road Races
• Track and Field Competitions
• Cross Country Races

The correct answer is option 3, i.e. Avalanche.

• When a mass of snow moving rapidly down a slope of a mountain is known as Avalanche.
• It is started when the snow on a slope breaks loose from its surroundings and this snow then quickly collects and carries additional material down the slope.
• Other kinds of avalanches are also there, they are as follows;
• Rock avalanches,
• Ice avalanches,
• Debris avalanches.

The correct answer is option 4, i.e. West Bengal

• Bhawaiya is a musical form of popular folk music in West Bengal.
• It is practised in Cooch Behar, Jalpaiguri, part of Darjeeling and North Dinajpur district of West Bengal.
• Some other folk dance names are:
• Chhau (It also performed in Odisha and Bihar)
• Kirtan
• Alkap
• Gambhira

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

• India has overtaken Japan to become the world's second-largest producer of crude steel, according to the Steel Users Federation of India.
• China is the largest producer of crude steel in the world, accounting for more than 50 per cent of the production.
• India overtook the US in 2015 to become the third largest producer of crude steel.

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

The correct answer is option 1, i.e. Shashi Tharoor.

The correct answer is option 2, i.e. Sergey Brin.

The correct answer is option 2, i.e. Malik Kafur.

• Malik Kafur was a eunuch slave who became a general in the army of Alauddin Khilji, who was the ruler of Delhi sultanate from 1296 to 1316.
• He had led two successful campaigns in South India.
• The Chola Empire was invaded by Malik Kafur too in the early 14th century A.D

The correct answer is option 2, i.e. Calcium Hydroxide.

• Slaked lime is the other name of Calcium hydroxide.
• Chemical formula: Ca(OH)2
• It is widely used for mortar, plaster, and cement in buildings.
• It is also used in wastewater treatment.

The correct answer is option 3, i.e. Cellulose.

• Cellulose is mainly found in plants and therefore is the main constituent of woods which makes it the most abundant organic compound on earth.
• It is the main constituent of plant fiber; plants contain on average 33% cellulose, and cotton is the purest form at 90%.
• Cellulose is a linear polymer of as many as 10,000 D-glucose units.
• Cellulose from wood and cotton is used in the manufacturing of paper, cardboard, cellophane, and rayon.

The correct answer is option 3, i.e. Swimming.

• In swimming, a tumble turn or flip turn is one of the turns.
• At the time of swimming, it is used to reverse the direction.
• It is done when the swimmer reaches at the end of the swimming pool but has one more turn left to complete swiftly.