SSC CHSL Previous Paper 13 (Held On: 5 July 2019 Shift 3) (Previous Year Paper)

• The correct answer is Option 3.
• The meaning of the given words:
• Reprimand: A severe, formal, or official reproof.
• Reward: Something of value given in return for an act.
• Eradicate: To destroy completely by the roots.
• Reproach: A rebuke, A harsh criticism.
• Applaud: Praise publicly by clapping or other means.
• Therefore, out of given alternatives, the word 'reproach' gives the similar meaning as the given word.

• The correct answer is Option 2 'precedent' which means 'An act in the past which may be used as an example to help decide the outcome of similar instances in the future' gives the same meaning as the given group of words.
• The meaning of other words:
• Precursor: A forerunner or indicator of approaching events.
• President: The head of state of a public.
• Predecessor: one who has preceded another in any state.

The correct answer is Option 2.

The meaning of the correctly spelt word 'gaiety' is 'The state of being happy or merry.'

• The correct answer is Option 3.
• The given sentence is in the past indefinite tense. When changing from direct to indirect, past indefinite tense changes to the past perfect tense. The structure of the past indefinite tense is 'subject + had + v3'.
• Therefore, the structure is correctly followed by option 3 'My grandmother said that she had borne six children.'

Here, verb Bear means 'to give birth' and 'bore' and 'borne' are its 'past' and 'past particle' forms respectively.

• The correct answer is Option 3.
• The rule is that 'can be' is always followed by V3. Therefore, 'recognise' should be replaced by 'recognised'.
• The correct preposition to be used n the given sentence is 'by' which is used to indicate the person that does something in a passive voice sentence.
• Therefore, the correct sentence is 'The shoebill stork can be recognised by its long legs and broad wings.'

• The correct answer is Option 4.
• The error lies in the wrong usage of the subject-verb agreement.
• Here, the verb 'have' is followed by the subject 'each' & not 'pictures'. The subject 'each' is singular, the verb should also be singular. So, replace 'have' by 'has'.
• Therefore, the correct sentence is 'Each of the pictures has been signed by the football star.'

• The correct answer is Option 2.
• The word 'entrepreneur' means 'a businessman'.
• The correct word that fits in the blank is 'investor' as the businessman will obviously look for an investor which means 'a person who invests money in order to make profit'.

• The correct answer is Option 3.
• The correct answer begins with sentence D because in sentence D, a question is raised and in all other sentences explanation to that question is being given. Sentence D is asking how people brushed their teeth before inventing the toothbrush.
• Sentence A & C make the paired sentences as sentence A is answering people used thin twigs to brush their teeth which is continued by sentence C with the pronoun 'these' which is referring to the thin twigs.
• Therefore, this correct sequence is followed by option 3 'DACB'.

• The correct answer is Option 2.
• The correct spelling is 'accelerate' which means 'to cause to move faster'.
• The meaning of other words:
• Accumulate: To heap up in a mass, to collect or bring together.
• Accomplice: An associate in the commission of a crime.
• Accommodate: to render fit, suitable, to bring about harmony.

• The correct answer is Option 2.
• While converting the active sentence into passive, subject and object interchange their places.
• The given sentence is in past indefinite tense, so in its passive form we use 'was/were + V3'.
• Therefore, the condition is correctly followed by option 2 'The teenager was caught shoplifting by the store manager'.

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

• stoic: One who is indifferent to pleasure or pain.
• wise: having or showing experience, knowledge, and good judgement.
• brave: showing courage.
• temperate: showing moderation or self-restraint.

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

• The only independent sentence from the given sentences is the sentence 'B'. Hence, it will be the first sentence.
• Sentence 'D' cannot follow the sentence 'B' because in the sentence 'D' the pronoun 'his' has been used.
• 'HIs' has been used for the noun 'father' which is used in the sentence 'A'.
• Hence, sentence 'D' will follow the sentence 'A'. So, the correct sequence is 'BAD'.
• So, the correct sequence is 'BADC'.

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

• The word 'genealogist' means a person who traces or studies lines of family descent.
• The blank needs a word that can define the work of a genealogist, hence, maintains is the correct word to be used in the blank.

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

• The given blank needs an adverb to qualify the adverb 'seriously'.
• From the given options 'quite' is the only word that fits in the context of the given sentence, hence, it will be used in the given blank.
• Quite means absolutely; completely.

The correct answer is option 3) i.e. messages.

• The given blank needs a word that means similar to inform because the grandmother informs everyone whenever something happens.
• So, from the given options 'messages' is the only word that can fit in the context of the given sentence, hence, it will be used here.

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

• The given sentence talks about an event and we use words like happen, occur with 'event' to refer to an event.
• Hence, 'occurs' is the only word that can be used here.

The correct answer is option 3) i.e. demise.

• At the beginning of the passage, it has been given that the grandmother keeps a record of births, deaths, marriages, etc.
• From the given options 'demise' is the only word that can be used here because demise means death. And fits in the context of the given passage.
• Moreover, in the last sentence of the passage a word 'bequeathed' has been used which means leave (property) to a person or other beneficiary by a will.
• By this word we can infer that someone has died and left his property for someone else. Hence, demise is the most appropriate word to be used here.

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

Sordid: dirty and unpleasant:. Hence, dirty is the most appropriate synonym of the given word.

e.g-There are lots of really sordid apartments in the city's poorer areas.

• Pure: free of any contamination.
• Clean: free from dirt, marks, or stains.
• Solid: firm and stable in shape

The correct answer is option 2) i.e. leaves were fallen.

• The given sentence is in the active voice, hence, 'were+v3' cannot be used in this sentence.
• So, we will use 'were+v1+ing' which makes the sentence in continuous form.
• The process of falling of leaves is a continuous process, hence, past continuous tense will be used in the given sentence.
• So, the correct sentence will be: It was a windy autumn day and leaves were falling rapidly from the trees.

The correct answer is option 1) i.e. have had a terrible cold for.

• The given sentence refers to something being happening for some period of time.
• So, we have to use either present perfect or present perfect continuous tense.
• From the given options only option 1 is suitable for the given sentence and it will be used here.
• So, the correct sentence will be: I have had a terrible cold for several days now.

The correct answer is option 3) i.e. bliss.

• misery: a state or feeling of great physical or mental distress or discomfort.
• bliss: perfect happiness, great joy, hence, this is the most appropriate antonym of the given word.
• censure: express severe disapproval of someone or something.
• poverty: the state of being extremely poor.
• dearth: a scarcity or lack of something.

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

ferocious: savagely fierce, cruel, or violent.

gentle: having or showing a mild, kind, or tender temperament or character.

prudent: careful and avoiding risks/ showing good judgment in avoiding risks and uncertainties; careful cunning: skill in achieving one's ends by deceit.

fierce: having or displaying an intense or ferocious aggressiveness.

The correct answer is: face the criticism.

Key Points

• Face the music: This idiom means to confront the unpleasant consequences of one's actions, to accept and deal with the negative repercussions or criticism. (Hindi meaning: आलोचना का सामना करना)
• Example: After making a huge mistake on the project, he knew he had to face the music when the boss found out.

Therefore, the correct answer is: face the criticism.

The correct answer is option 2) i.e. to be very busy.

• Have one's hands full: have as much work as one can do.
• E.g. He already has his hands full with two kids and a full-time job, yet he still makes time to volunteer.

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

• synchronize means cause to occur or operate at the same time.
• In the given sentence the soldiers need to attack at the same time, hence, synchronized is the most appropriate word to use in the given blank.

The correct meaningful logical order is

5. Switch on television
6. Television audio defect
7. Contact mechanic
8. Television repair done
9. Restart enjoying

Hence, the correct order is "5, 1, 3, 4, 2".

Let A have x rupees, and C have y rupees.

A takes 12 rupees from C

now A have total amount =

x + 12      …..(i)

and

y - 12

A has an equal amount as B has,

A = B

A + B = 102

From equation 2

x + 12 + x = 102

2x + 12 = 102

2x = 102 – 12

X = 45

Hence, A has total amount of 45 rupees.

The logic followed here is:

(1^st Term + 2^nd Term) ÷ 2 = 3^rd Term

add first and second number

88 + 56 = 144, 144 ÷ 2 = 72

72, which equals to the third number

Similarly,

(66, 48, 57)

add first and second number

66 + 48 = 114, 114 ÷ 2 = 57

Hence, option 2 is the correct answer.

The pattern followed is,

Lines are changing place in a clockwise direction at the edges of the square box with the addition of one line in every step.

The circular figure which is given in the square box once empty circular figure and second filled with dark and so on moving alternatively. The circular Figure is moving at the corner of the square box figure.

Complete series will be,

Hence, in this way, the next figure would be option 1.

The pattern followed here is,

2 →  2³ = 8

Similarly,

7 → 7³ = 343

Hence, 7 : 343 is the correct answer.

Here, 

All the given numbers are non-prime numbers except 127.

Hence, 127 is the correct answer.

Both Iron and Mercury are Metals

Hence, the figure in option 1 shows a definite relation.

From dice one and two the common number is 3, while rotating either clockwise or anti-clockwise from the number three, number three follows three which means the number left in the dice is 2 which is opposite to the number 3.

Opposite pairs are: 

3 – 2

1 – 4

5 – 6

Hence, the number opposite to 3 is 2.

Add + 2 in all letters to get the code of the given word

Similarly,

Hence, the code for LICENSE is EKNGGUP.

The least possible Venn diagram is:

Conclusions:

I. Some chocolates are ice-creams → False

II. Some juices are ice-creams → True

III. No ice-cream is chocolate → True

Hence, Only conclusion II and III follows

The pattern followed here is,

Hence, AFIM different from the other words.

211 × 14 + 627 ÷ 33 – 17 = 520

Option 1: (+ and ÷)

211 × 14 ÷  627 + 33 – 17

By solving according to BODMAS

4,71 + 33 - 17 ≠ 520

Option 2: ( ÷ and × )

211 ÷ 14 + 627 ×  33 – 17 

By solving according to BODMAS

15.071 + 627 × 33 -17

15.071 + 20691 - 17 ≠ 520

Option 3: (+ and - )

211 × 14 -  627 ÷ 33 + 17 

By solving according to BODMAS

211 × 14 - 19 + 17

2954 - 2 ≠ 520

Option 4: ( × and - )

211 – 14 + 627 ÷ 33 × 17

By solving according to BODMAS

211 – 14 + 19 × 17

211 – 14 + 323

211 + 323 – 14

534 – 14 =520

Hence, the changing × by - will make the equation correct.

Divide the equation with 4 elements in each group, which makes it easier to solve.

xqpf/mccb/xqpf/mccb/xqpf/mccb

Hence, pfbxccqpc is the combination of letters that when sequentially placed in the gaps of the given letter series will complete the series.

The pattern followed here is, 

32 – 28 = 4 = 2²

41 – 32 = 9 = 3²

57 – 41 = 16 = 4²

82 – 57 = 25 = 5²

Similarly , the next word would be square of 6

82 + 36 = 118

118 – 82 = 36

Hence, the next number is 118.

Diagram after folding at dotted line,

Hence, the correct answer is option 3.

Given figure is embedded in, 

Hence, the correct answer is option 1.

An architect is the one who creates House Map.

Similarly,

The Carpenter is the one who creates Furniture.

Hence, the correct answer is Carpenter: Furniture.

The pattern followed here is,

Similarly,

Hence, the code for UCWF is XZZC

Triangle, rectangle, Circle are the name of the shape.

while “diagram” means showing or representing the structure of anything.

Hence, Diagram is the correct answer.

Total triangles are:

∆ABC, ∆AIC, ∆AIB, ∆ABD, ∆ACD, ∆ADE, ∆BCD, ∆BID, ∆BJD, ∆BJE, ∆BDE, ∆BEF, ∆BDF, ∆CBF, ∆CID, ∆CDH, ∆CDM, ∆CBH, ∆DJF, ∆DEF, ∆DEG, ∆DMH, ∆DOK, ∆DNL, ∆DKP, ∆DLQ, ∆DOP, ∆DNQ, ∆EFG, ∆EJF.

Hence, there are 30 triangles in the given figure.

The mirror image is

Hence, the correct answer is option 2.

Logic followed here is,

Set (4, 9, 16)

2­­² = 4

3² = 9

4² = 16

Similarly,

set (49, 64, 81)

7² = 49

8² = 64

9² = 81

Hence, option 1 is correct answer.

Statement: F × R × S ÷ G – P ÷ X

Decoding: F × R means F is the sister of R.

R × S means R is the sister of S.

S ÷ G means S is daughter of G.

G – P means G is the husband of P.

P ÷ X means P is daughter of X.

Hence, X is the maternal grandfather or materal grandmother of R.

Diabetes is kind of Disease,

In the same way Car is kind of Vehicle.

Hence, Car is the correct answer.

Here, finding the positional value of each letter, then adding the digits of that positional value we will get the given code.

LUCRATIVE

L = 12 = 1 + 2 = 3

U = 21 = 2 + 1 = 3

C = 03 = 0 + 3 = 3                                               

R = 18 = 1 + 8 = 9

A = 01 = 0 + 1 = 1

T = 20 = 2 + 0 = 2

I = 09 = 0 + 9 = 9

V = 22 = 2 + 2 = 4

E = 05 = 0 + 5 = 5

similarly,

A = 01 = 0 + 1 = 1

M = 13 = 1 + 3 = 4

S = 19 = 1 + 9 = 10

T = 20 = 2 + 0 = 20

E = 05 = 0 + 5 = 5

R = 18 = 1 + 8 = 9

D = 04 = 0 + 4 = 4

A = 01 = 0 + 1 = 1

M = 13 = 1 + 3 = 4

Hence, the code for AMSTERDAM is 141259414.

Calculation:

If a number is divisible by 88 then it must be divisible by 8 × 11

When a number is divisible by 88 then its last three digits are also divisible by 8

∴ 8y2 is divisible by y when y = 3

When a number is divisible by 11 then difference of its sum of the alternate numbers will be zero or multiple of 11

The number 1230x558y2 = 1230x55832 will be divisible by zero

When

(1 + 3 + x + 5 + 3) - (2 + 0 + 5 + 8 + 2) = 0 or multiple of 11

⇒ (12 + x) – (17) = 0 or 11

∴ Possible value of x = 5

Now

5x + 5y = 5 × 5 + 5 × 3 = 25 + 15 = 40

Calculation:

cos x = -1/2 = cos 240°

∴ x = 240°

2tan²x + 3cosec²x = 2tan²240° + 3cosec²240° = 2tan²(180° + 60°) + 3cosec²(180° + 60°)

⇒ 2tan²60° + 3cosec²60° = 2 × 3 + 3 × (4/3) = 6 + 4 = 10

Alternate Solution:

In ΔABC,

cos x = -1/2 = AB/BC

AC² = BC² + AB²

⇒ AC2 = 22 - 12

⇒ AC = √3

Given π < x < 3π/2

Only tan is positive in the third quadrant.

⇒ tanx = √3/1 = √3

⇒ cosecs = - 2/√3

2 tan2x + 3 cosec2x

⇒ 2 × (√3)2 + 3 × (- 2/√3)2

⇒ 6 + 4 = 10

Calculation:

Two tangents drawn from the same external point is equal in length

∴ AP = AR = 6.1 cm

BP = BQ = 5.4 cm

CQ = CR = 7.3 cm

∴ Perimeter of triangle = 6.1 + 6.1 + 5.4 + 5.4 + 7.3 + 7.3

= 37.6 cm

Calculation:

Let h₁ and h₂ be the height of triangles ABC and PQR and b₁ and b₂ be the base of triangles ABC and PQR

Given

h₁ = 5 and h₂ = 3

$\frac{{Area;of;triangle;ABC}}{{Area;of;triangle;PQR}} = \frac{{\frac{1}{2};base \times height}}{{\frac{1}{2}base \times height}}$

$\Rightarrow \frac{4}{5} = \frac{{\frac{1}{2} \times {b_1} \times {h_1}}}{{\frac{1}{2} \times {b_2} \times {h_2}}}$

$\Rightarrow \frac{4}{5} = \frac{{{b_{1}} \times 5}}{{{b_2} \times 3}}$

$\therefore \frac{{{b_1}}}{{{b_2}}} = \frac{{12}}{{25}}$

Short Trick:

If x - 1/x = a

⇒ x3- 1/x3 = a³ + 3a

x - 1/x = -2√3

⇒ x3- 1/x3 = (-2√3)3 + 3(-2√3) = -30√3

Detailed Solution:

Given

x = 2 - √3

1/x = 1/(2 - √3) = 2 + √3

⇒ (x – 1/x) = 2 - √3 - (2 + √3) = -2√3

Cubing both sides:

x³ - 1/x³ – 3(x – 1/x) = (-2√3)³

⇒ x³ - 1/x³ – 3 × (-2√3) = -24√3

⇒ x³ - 1/x³ = -24√3 - 6√3

∴ x³ – x^-3 = -30√3

Calculation:

Difference of exports and imports in 2013-2014 = 824 – 638 = 186

Difference of exports and imports in 2014-2015 = 1255 – 1011 = 244

Difference of exports and imports in 2015-2016 = 1661 – 1137 = 524

Difference of exports and imports in 2016-2017 = 1548 – 1545 = 3

∴ The financial year in which the absolute difference of the Exports to those of Imports is the lowest = 2016-2017

Given:

d1 = 300 km, t1 = 3 hr

Concept:

The ratio between the speeds of two trains is 5 ∶ 7.

Let the speed of two trains be 5x and 7x

We know that, $speed=\frac{distance}{time}$

Calculation:

Speed of first train (S₁) = 300/3 = 100 km/hr

⇒ 5x = 100

⇒ x = 20

∴ Speed of second train = 7x = 7 × 20 = 140 km/h

Calculation:

Let marks of B be x

∴ Marks of A be x + 8

Now

According to question

(x + 8)/(x + x + 8) = 55/100

⇒ (x + 8)/(2x + 8) = 11/20

⇒ 20x + 160 = 22x + 88

⇒ 2x = 160 – 88 = 72

⇒ x = 36

∴ Marks of A = x + 8 = 36 + 8 = 44

And marks of B = x = 36

Calculation:

Total imports during 2014-2015, 2015-2016, and 2016-2017 = 1011 + 1137 + 1545 = 3693

Total exports during 2014-2015, 2015-2016, and 2016-2017  =  1255 + 1661 + 1548 = 4464

∴ Required ratio = 3693: 4464

Calculation:

Time is taken by A to complete the work = 4 days

Time is taken by B to complete the work = 20 days

Time is taken by C to complete the work = 60 days

Total work = (LCM of 4, 20, and 60) = 60 units

The efficiency of A in 1 day = 60/4 = 15

The efficiency of B in 1 day = 60/20 = 3

The efficiency of C in 1 day = 60/60 = 1

1/3 of total work = 60 × 1/3 = 20

Efficiency of A, B and C together = 15 + 3 + 1 = 19

Together they can complete one-third of the same work = 20/19 = $1\frac{1}{{19}}$ days

Calculation:

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

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

\(\Rightarrow \frac{{\frac{{19}}{5} \times \frac{5}{8}}}{{\frac{8}{7}; \div \left{ {\frac{6}{7} - \left( {\frac{1}{7} \times \frac{5}{1}} \right)} \right};}}\)

\(\Rightarrow \frac{{\frac{{19}}{8}}}{{\frac{8}{7}; \div \left{ {\frac{6}{7} - \frac{5}{7}} \right}}} = ;\frac{{\frac{{19}}{8}}}{{\frac{8}{7}; \div \frac{1}{7}}} = ;\frac{{\frac{{19}}{8}}}{{\frac{8}{7} \times \frac{7}{1}}} = ;\frac{{\frac{{19}}{8}}}{{\frac{8}{1}}} = \frac{{19}}{8} \times \frac{1}{8} = \frac{{19}}{{64}};\)

Shortcut Trick

Divide the two given conditions to directly eliminate the common term 'y':

(y% of z) ÷ (x% of y) = 300 ÷ 150

⇒ (y × z) ÷ (x × y) = 2

⇒ z ÷ x = 2 ⇒ z = 2x

∴ The correct answer is z = 2x.

Alternate Method

Given:

x% of y = 150

y% of z = 300

Formula Used:

a% of b = (a × b) ÷ 100

    x% of y = 150 xy = 15000   y% of z = 300 yz = 30000   Divide   z ÷ x = 30000 ÷ 15000 = 2

Calculations:

⇒ x% of y = 150

⇒ (x ÷ 100) × y = 150

⇒ xy = 15000 ... (1)

⇒ y% of z = 300

⇒ (y ÷ 100) × z = 300

⇒ yz = 30000 ... (2)

⇒ Dividing Equation (2) by Equation (1):

⇒ (yz) ÷ (xy) = 30000 ÷ 15000

⇒ z ÷ x = 2

⇒ z = 2x

∴ The correct answer is z = 2x.

Additional Information

Interchangeability of Percentages

An important fundamental property of percentages is that a% of b is mathematically identical to b% of a. Both evaluate directly to (a × b) ÷ 100.

Ratio Comparison Method

When solving algebraic equations with multiple variables where one variable acts as a common link (such as 'y' in xy and yz), dividing the two equations yields the most direct ratio of the remaining isolated variables.

Percentage Change Rule

To calculate the net percentage by which a base quantity A is more or less than B, always apply the base formula: [(A − B) ÷ B] × 100.

Calculation:

We know that

When O is the incentre of ΔABC.

Then ∠BOC = 90° + ∠A/2

⇒ ∠BOC = 90° + 132°/2 = 90° + 66°

∴ ∠BOC = 156°

Calculation:

Difference of exports and imports in 2013-2014 = 824 – 638 = 186

Difference of exports and imports in 2014-2015 = 1255 – 1011 = 244

Difference between exports and imports in 2015-2016 = 1661 – 1137 = 524

Difference of exports and imports in 2016-2017 = 1548 – 1545 = 3

Difference of exports and imports in 2017-2018 = 1658 – 1305 = 353

Total =186 + 244 + 524 + 3 + 353 = 1310

Average = 1310/5 = 262

Calculation:

sec θ = 3x ⇒ sec²θ = 9x²

tan θ = 3/x ⇒ tan²θ = 9/x²

Now

sec²θ - tan²θ = 9x² – 9/x²

⇒ 1 = 9(x² – 1/x²)

∴ 9(x² – 1/x²) = 1

Calculation:

Total imports and exports in 2013-2014 = 638 + 824 = 1462

Total imports and exports in 2014-2015 = 1255 + 1011 = 2266

Increase = 2266 – 1462 = 804

Percentage increase = (804/1462) × 100 = 54.99 ≈ 55%

Total imports and exports in 2014-2015 = 1255 + 1011 = 2266

Total imports and exports in 2015-2016 = 1661 + 1137 = 2798

Increase = 2798 – 2266 = 532

Percentage increase = (532/2266) × 100 = 23.47%

Total imports and exports in 2015-2016 = 1661 + 1137 = 2798

Total imports and exports in 2016-2017 = 1548 + 1545 = 3093

Increase = 3093 – 2798 = 295

Percentage increase = (295/2798) × 100 = 10.54%

Total imports and exports in 2016-2017 = 1548 + 1545 = 3093

Total imports and exports in 2017-2018 = 1305 + 1658 = 2963

It is clear that in years 2017-2018 compared to the previous year the total number of imports and exports are decreased

∴ The financial year in which the percentage increase in Imports and Exports taken together is the lowest in comparison to its previous financial year = 2016-2017

Calculation:

Average of four brothers = 14

Total age of four brothers = 14 × 4 = 56

After including father

New average = 14 + 4 = 18

Total age of four brothers and father = 18 × 5 = 90

∴ Age of father = 90 – 56 = 34

Calculation:

CP = 4,90,828

SP = 5,52,920

Profit = 5,52,920 – 4,90,828 = 62092

Profit percentage = (62092/490828) × 100 = 12.65%

Calculation:

Let AB = x cm

∴ BC = (2x – 3) cm

And AC = (x + 9) cm

The perimeter of triangle ABC = 34

⇒ x + 2x – 3 + x + 9 = 34

⇒ 4x + 6 = 34

⇒ 4x = 28

⇒ x = 7

∴ Smallest side of the triangle = x = 7 cm

Short Trick:

∴ The sum of numbers = (35 + 25) × 5 = 300

Detailed Solution:

Let the two numbers be 7x and 5x

According to the question

(7x – 40)/(5x – 40) = 27/17

⇒ 119x – 680 = 135x – 1080

⇒ 135x – 119x = 1080 – 680

⇒ 16x = 400

⇒ x = 25

∴ The sum of the numbers = 7x + 5x = 12x = 12 × 25 = 300

Given

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

Put x = 8

${3^{\sqrt[3]{8}}} + {4^{\sqrt[3]{8}}} = {5^{\sqrt[3]{8}}}$

⇒ 3² + 4^{2 =} 5²

⇒ 9 + 16 = 25

⇒ 25 = 25

∴ x = 8

Calculation:

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

⇒ (x + 7)³ + (2x + 8)³ + (2x + 3)³ - 3 (x + 7) (2x + 8) (2x + 3) = 0

We know that if a³ + b³ + c³ – 3 abc = 0 then a + b + c = 0

∴ (x + 7) + (2x + 8) + (2x + 3) = 0

⇒ 5x + 18 = 0

⇒ 5x = -18

∴ x = -3.6

Calculation:

[6(sec²59° - cot²31°)] – [(2/3)sin 90°] – [3tan²56°ytan²34°] = y/3

⇒ [6(sec²59° - cot²(90° - 59°)] – [(2/3)sin 90°] – [3tan²56° y tan²(90° - 56°)] = y/3

∵ cot (90 - x) = tanx, tan (90 - x) = cotx

⇒ [6(sec²59° - tan²59°)] – [(2/3) × 1] – [3 × y × tan²56°cot²56°] = y/3

∵ sec2x = 1 + tan2x

⇒ [6 × 1] – [2/3] – 3y = y/3

⇒ 6 – (2/3) = (y/3) + 3y

⇒ 16/3 = 10y/3

⇒ 16 = 10y

∴ y = 8/5

Calculation:

Let the price tag be P

According to question

P × 75/100 × 80/100 × 90/100 = 405

⇒ P = 750

∴ Price tag = 750 rupees

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 

The perpendicular distance of this tangent from the center 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 bp = amcn 

⇒ p = 2, m = n = 1

∴ m + n + p + 3 = 1 + 1 + 2 + 3 = 7

• Keibul Lamjao National Park is the only floating National Park in the world.
• It is the home of the brow-antlered deer which is one of the most endangered deer in the world.
• It is located in the Bishnupur district of Manipur in India.
• It is an integral part of Loktak Lake.

Correct Answer is D i.e. 3000

Pradhan Mantri Shram Yogi Maan-Dhan Yojana

• This scheme was announced in the interim Budget 2019-2020
• It is the central government scheme which is meant for old age protection and social security of Unorganised Workers
• The scheme will be administered by the Ministry of Labour and Employment and implemented through LIC and CSC e-Governance Services India Limited (CSC SPV).
• ​LIC will be the pension fund manager and responsible for pension payout.

Eligibility Criteria:

• ​Person Should be an unorganized worker.
• A person can enter into the scheme between the age of 18 to 40 years
• Monthly Income must be less than or equal to 15000.

Benefits:

• A person will get a minimum assured pension of Rs 3000/- per month after attaining the age of 60 years.
• If the subscriber dies, the spouse of the beneficiary shall be entitled to receive 50% of the pension as a family pension.

Contribution: 

• If the person enters at the age of 18 years then he will have to contribute Rs 55 per month.
• If the person enters at the age of 20 years then he will have to contribute Rs 61 per month.
• If the person enters at the age of 40 years then he will have to contribute Rs 200 per month.
• Equal Contribution will be made by the government.

• Ellora caves are located in the Aurangabad district of Maharashtra.
• It is a UNESCO World Heritage Site.
• It is one of the largest rock-cut monastery-temple cave complexes in the world which feature Buddhist, Hindu and Jain monuments.

The correct answer is option 1 i.e Boxing.

Key Points

• Jab: It is a quick punch with the leading hand, straight from the chin to the target.
• Fighters use the jab to earn points.
• Some other terms associated with Boxing are Hook, Punch, Knock-out, Uppercut, Kidney Punch.
• Governing Body of Boxing in India: Indian Boxing Federation
• Headquarters: New Delhi

The correct answer is Jog Falls.

Key Points

The correct answer is  Malic Acid.

Malic Acid is present in ripe bananas.

• Chemical Name - 2-hydroxy dicarboxylic acid

The correct answer is option 3 i.e The Speaker of the Lok Sabha

• The joint sitting of the Parliament is called by the President and is presided over by the Speaker or, in his absence, by the Deputy Speaker of the Lok Sabha or in his absence, the Deputy-Chairman of the Rajya Sabha.

Speaker of Lok Sabha:

• The speaker is elected in the first meeting of the Lok Sabha following general elections.
• Service term is 5 years or during the life of Lok Sabha
• The Speaker can be removed by following the conditions listed in articles 94 and 96.
• The First Speaker of Lok Sabha is Ganesh Vasudev Mavalankar
• The Current Speaker of Lok Sabha is Om Birla.

The correct answer is option 3 i.e Keerthana Pandian.

• Keethana Pandian won the Gold Medal at the IBSF World Under-16 Snooker Championships Held in 2018.
• She defeated Belarus Albina Leschuk (Russia) by 3-1.
• The event was held at St. Petersburg, Russia.
• In Men's Category Ben Martens from Belgium won the Gold Medal.
  
• Governing Body in India: The Billiards and Snooker Federation of India (BSFI)
• Headquarters: Bengaluru.
• President: M.C Uthappa

Concept:

• Cornea: It is the transparent front part of the eye that covers the iris, pupil, and anterior chamber. The cornea, with the anterior chamber and lens, refracts light.
• Optical Nerve: The optic nerve connects the eye to the brain. The optic nerve carries the impulses which are formed by the retina.
• Iris: The iris is a thin, circular structure in the eye, responsible for controlling the diameter and size of the pupil and thus the amount of light reaching the retina. Eye colour is defined by that of the iris.

Explanation:

From the above explanation, we can see that, 

The light rays enter the eye through the outer, transparent structure at the front of the eye called Cornea.

Additional Information

• Different parts of the eyes and their functions are shown in the table:

The correct answer is option 3 Lydian Nadhaswaram.

• Lydian Nadhaswaram won the American Reality Show,' The World's Best 2019 for displaying his talent as a pianist.
• He belongs to Chennai.
• He defeated South Korea’s Kukkiwon aka The Flying Taekwondo Masters
• He was the Student of famous music composer A.R Rehman.

The correct answer is option 3 i.e. one-tenth.

Article 100 gives the following powers Voting in Houses, power of Houses to act notwithstanding vacancies and quorum:

• ​All questions at any sitting of either House or joint sitting of the Houses shall be determined by a majority of votes of the members present and voting, other than the Speaker or person acting as Chairman or Speaker The Chairman or Speaker
• Either House of Parliament shall have the power to act notwithstanding any vacancy in the membership and any proceedings in Parliament shall be valid notwithstanding that it is discovered subsequently that some person who was not entitled so to do sat or voted or otherwise took part in the proceedings.
• The quorum to constitute a meeting of either House of Parliament shall be one-tenth of the total number of members of the House.
• If at any time during a meeting of a House there is no quorum, it shall be the duty of the chairman or Speaker, or person acting as such, either to adjourn the House or to suspend the meeting until there is a quorum

The correct answer is option 4 i.e. Cyclone Fani.

Cyclone Fani:

• It is India's strongest cyclone which hits the Odisha coast in Puri in May 2019.
• The Speed of the cyclone is around 175km/h.
• According to the IMD, in the past 126 years (1891-2017) only 14 severe tropical cyclones have formed. Out of those, only one storm crossed the Indian mainland. Cyclone Fani will be the second storm that crossed the mainland. The last severe cyclone was 'Nargis' in 2008 which devastated Myanmar.

The Correct answer is Assam

The correct answer is option 3 i.e Yogendra Puranik

• Indian-origin Japanese, Yogendra Puranik has been elected to Tokyo's Edogawa Ward assembly, become the first Indian to win an election in Japan.
• Edogawa Ward has the highest number of Indian residents among Tokyo's 23 wards.
• This is the first-ever victory of a Japanese of Indian origin in elections in Japan.
  
• Japan Capital: Tokyo
• Japan Currency: Japanese Yen
• Japan PM: Yoshihide Suga

Note: At Present the correct rates are:

The correct answer is option 2 i.e 19.50%

Statutory Liquidity Ratio: 

• The share of NDTL that a bank is required to maintain in safe and liquid assets, such as unencumbered government securities, cash, and gold.
• Changes in SLR often influence the availability of resources in the banking system for lending to the private sector.
• The SLR is determined as a percentage of total demand and time liabilities.
• RBI used  SLR to control inflation and fuel growth, by decreasing or increasing the money supply.

How SLR is used to control Inflation

• If RBI increases the SLR Rate then the bank has to hold more money, so the lending capacity of the bank decreases and the flow of money in the market decreases which means people have less money to spend which means demand decreases and hence inflation decreases.
• IF RBI decreases the SLR Rate then the bank has to hold less money. So the lending capacity of the bank increases and the flow of money in the market increases which means people have more money to spend and hence demand increases and hence inflation increases.

The correct answer is option 3 i.e Hema Divakar

Global Asian of the Year Award: 

• This award is given to those who stand out for vision, action, ingenuity and represent contemporary ideas to make a global impact.
• Dr Hema Divakar was honoured with the ‘Global Asian of the Year 2018-19’ award in Dubai for her yeomen services and contributions to the women’s healthcare ecosystem, in India.
• Dr. Hema received this award at the Asian Business; Social Forum 2019 under the ‘In Service of the Society and the Nation’ category.

The correct answer is option 3 i.e 326 BC

• Alexander known as Alexander the Great or Sikander was the king of Greek Kingdom Macedonian of the Argead dynasty.
• He was the son of Philip II and succeed his father to the throne at the age of 20.
• Alexander invaded India in 326 BC after winning one of the most famous battles known as Battle of the Hydaspes in which he defeated the regional king Porus.

The correct answer is Option 2, i.e Javelin Throw.

• Neeraj Chopra is an Indian athlete competing in the Javelin throw.
• In the 2018 Asian Games, he represented India and cliched the gold medal.
• He set a national record of 88.06 m.
• He also won the gold medal in the Commonwealth Games of 2018.

The correct answer is option 3 i.e Maharashtra.

Paithani Saree: 

• This type of saree is named after the Paithan town in Aurangabad Maharashtra state where they are woven by hand.
• They are made up of very finest silk and therefore they are the most expensive saris in India.

The correct answer is option 2 i.e Narasimha Deva 1

Konark Sun Temple:

• It is situated at Konark in Odisha.
• It is a UNESCO World Heritage Site.
• It is dedicated to the sun god, Surya, the first rays of the sun fall on the entrance of the temple.
• It was built in the 13th century and was built by King Narasimhadeva I.

The correct answer is option 3 i.e. Govind Vallabh Pant Sagar lake.

Key Points 

Govind Vallabh Pant Sagar lake:

• Govind Vallabh Pant Sagar Lake is also known as Rihand Dam, is the largest dam of India by volume.
• It is India's largest artificial lake
• It is located at Pipri in Sonbhadra District in Uttar Pradesh.
• Its reservoir area is on the border of Madhya Pradesh and Uttar Pradesh.
• It is the tributary of Son River.
• Dhebar lake is the second-largest man-made lake

Additional Information 

• The largest lake in the world is the Caspian Sea
• The Largest freshwater lake in the world is Lake Baikal
• Largest Freshwater Lake of India: Wular Lake

The correct answer is option 4 i.e Linus Torvalds

An operating system is a software that manages all of the hardware resources associated with your desktop or laptop

Linux Operating System:

• Linux is an operating system or a kernel. It is distributed under an open-source license. Its functionality list is quite like UNIX.
• It is one of the most popular operating systems.
• Android, is powered by the Linux operating system.
• Linux was developed by Linus Torvalds

The correct answer is option 3 i.e Manmohan Singh

Changing India: The book is released by former PM Manmohan Singh. In this book, he describes his journey from economist to the politician.

Some facts about Manmohan Sing:

• He is an Indian economist and politician who served as the Prime Minister of India from 2004 to 2014.
• He became the first PM after Jawahar Lal Nehru to be re-elected after completing his five years tenure. Now our present PM Narendra Modi become the third PM of India who was re-elected after completing his tenure.
• He was the 15^th Governor of the Reserve Bank of India.