SSC CHSL Previous Paper 19 (Held On: 9 Jul 2019 Shift 3) (Previous Year Paper)

The meanings of the given words are as follows:

chronic: constantly recurring or (of an illness) persisting for a long time

1. continuing: without a break in continuity.
2. infrequent: not occurring often.
3. routine: a sequence of actions regularly followed.
4. regular: recurring at uniform intervals.

Clearly, 'chronic' and 'infrequent' are words with opposite meanings.(antonyms)

Thus, option 2 is the correct answer.

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

Explanation-

• The given sentence talks about the inefficacy of language and in the latter part of the given sentence, the word 'dearth' has been used, which shows that in the blank a word will be used that has the meaning similar to 'dearth'.
• Poverty means lacking money for something. It also means 'the state of being inferior in quality or insufficient in amount'. Hence, it is similar to 'dearth'.
• Hence, the most appropriate word to use in the blank is 'poverty'.

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

• Complexity: the state or quality of being or complicated.
• Intricacy: the quality of being intricate.
• Difficult: needing much effort or skill to accomplish, deal with, or understand

The correct answer is option 4) i.e. No improvement.

• The given sentence is a routine action and the tense used for routine action is the present indefinite tense.
• The subject in the sentence is singular i.e. bus, hence the verb used also be singular, so, the usage of the verb 'stops' is correct.
• Hence, the given sentence is grammatically correct and needs no improvement.

The correct answer is option 3) i.e. If I do not pay.

• The given sentence is a conditional sentence, hence, the first action should be in the present indefinite tense and the second sentence will be in the future indefinite tense.
• And in the present indefinite tense, if the subject is 'I' the helping verb i.e. do does not take 's/es' with it.
• So, 'do not' will be used in place of 'does not'.

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

• In the given blank we need a pronoun to be used in place of 'the given sentence'.
• And the sentence is a non-living thing and singular.
• Hence, 'it' will be used as a pronoun in the given blank.

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

• The given sentence is in present tense, so, option 1) i.e. 'had' cannot be used here.
• And the subject is plural in the given sentence i.e. 'we', hence, the verb will also be plural i.e. have.
• Because 'has' is used for singular subjects and 'have' is used for plural subjects.

The correct answer is option 4) i.e. doesn't.

• The given sentence implies that the subject does not have any pencils, hence, 'not' will be used with the helping verb.
• And the subject is singular i.e. he, in the given sentence, hence, the helping verb will also be singular i.e. does.
• So, the correct word to fill in the given blank is 'doesn't'.

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

• The given sentence is in present indefinite tense, hence, the helping verb that can be used here is 'do/does'.
• The subject in the given sentence is 'you' and it takes 'do' as a helping verb with it.
• So, the correct word to use in the blank is 'do'

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

• The given sentence is an interrogative sentence.
• And 'what' is used to ask a direct question. Hence, it is the most appropriate word to use in the given blank.

The correct answer is 'be unsuccessful'.

• Draw a blank: elicit no successful response, fail.
• E.g.- Detectives investigating the case have drawn a blank so far.

The correct answer is option 1 i.e. 'Turbulence'.

Key Points

• Turbulence (अशांति) - violent or unsteady movement of air or water.
• Example- The plane encountered severe turbulence during the flight.

Therefore, the correct answer is option 1.

Additional Information

• Turbulance - Incorrect spelling
• Turbulense - Incorrect spelling
• Terbulence - Incorrect spelling

The correct answer is option 1) comencement.

• The correct spelling is commencement which means the beginning of something.
• Resentment: bitter indignation at having been treated unfairly.
• Triangulation: formation of or division into triangles.
• Continuation: the action of carrying something on over time or the state of being carried on.

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

• From the given sentences 'C' is the only sentence in which a proper noun i.e. Krishna has been used.
• And all the sentences talk about him, hence, 'C' is the independent sentence and it will be the first sentence.
• Sentence 'A' will follow the sentence 'C', because the sentence 'A' talks about going out of Krishna and sentence 'C' talks about confining of Krishna, hence, these two sentences are interconnected and they will be used together.
• Sentence 'B' will follow the sentence 'A' because in the sentence 'A' the word 'school' has been used and in the sentence 'B' 'teachers and students' has been used, so, 'B' will follow 'A'.
• Hence, the correct sequence is CABD.

The correct answer is option 3) i.e. the childrens.

• The use of 'childrens' is wrong.
• The plural form of 'child' is 'children'.
• Hence, 'the children' will be used in the given sentence.

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

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

• cartoonist- an artist who draws cartoons.
• calligrapher- a person who is skilled at art producing beautiful writing.
• painter- an artist who paints pictures.
• artist- a person who creates paintings or drawings as a profession or hobby.
  

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

The correct answer is option 1.

Future indefinite tense Active form- subject + will/shall + v1 + object + other words.

Future indefinite tense Passive form- object + will/shall + be + v3 + by + subject + other words.

Option 1 follows this rule so, the chosen option is correct.

The correct answer is option 2.

When reported speech starts with main verb( imperative sentence) we convert this sentence in To +V1 form for making indirect speech.

Only In option 2 sentence is in construction of TO + v1 ( to continue).

So, the chosen option is correct.

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

Explanation:

MENTAL- relating to the mind.

• physical- relating to the body as opposed to the mind.
• brainy- having or showing intelligence.
• ability- possession of the means or skill to do something.
• strength- the quality or state of being physically strong.

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

The correct answer is option 3 i.e. demography

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

• anthropology- the study of human societies and cultures and their development.
• sociology- the study of the development, structure, and functioning of human society.
• demography- the study of statistics such as births, deaths, income, or the incidence of disease, which illustrate the changing structure of human populations.
• psychology- the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.

Hence from the above-given meanings, we find that the correct answer is option 3 i.e. demography

The correct answer is: Option 4.

Key Points

• The word "fleeting" means something that lasts for a very short time; it is transient or momentary. (क्षणिक)
• Example: Her happiness was fleeting, disappearing as quickly as it came.
• "Momentary" refers to something that lasts for a very brief period of time, synonymous with fleeting. (क्षणिक)
• Example: The momentary pause in the conversation made everyone uncomfortable.

Therefore, the correct answer is: Option 4.

Additional Information

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

• Ready (तैयार): In a state of being fully prepared.
• Example: She was ready to start her new job.
• Lasting (स्थायी): Enduring or able to endure over a long period of time.
• Example: They formed a lasting friendship.
• Complete (पूर्ण): Having all the necessary parts; whole.
• Example: The project is complete and ready for review.

Explanation:

ANOMALOUS- deviating from what is standard, normal, or expected.

1. indirect- not directly caused by or resulting from something.
2. peculiar- different to what is normal or expected; strange.
3. common- occurring, found, or done often; prevalent.
4. unhealthy- harmful to health.

Clearly, 'peculiar' and 'anomalous' are words with similar meanings.

Thus, the correct answer is option 2.

The correct answer is 'too delayed to be of any use'.

Key Points

• Late in the day: at a late stage in proceedings, especially too late to be useful. 
• E.g.- It's too late in the day to start studying - your final exams are next week.

Hence, the correct answer is: 'too delayed to be of any use'.

The correct answer is option 4.

singular subject- singular verb

plural subject - plural verb

as subject ( two states ) is plural we need to use plural verb ( have).

The correct sentence will be-

The two states frequently have differences over the use of the river water, especially during the summer months.

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

As after reading one or two lines it can be said that this para jumble is talking about the evolution of man.

So, we must start this with the early life of a human on the earth.

Sentence C conveys this idea so, this should be the first sentence.

we have C at first position in options 2 and 4.

B & D are the sentences talking about today's man and sentence A is introducing the man today. So sentence A will follow sentence C.

Sentence B starts with others so it can not just after A as the use 'others' won't convey a clear meaning.

So we have only one choice now that Sentence D will follow sentence A and then B will come.

Thus, the correct order is CABD.

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

control- the power to influence or direct people's behaviour or the course of events.

negotiation- discussion aimed at reaching an agreement.

competition- the activity or condition of striving to gain or win something by defeating or establishing superiority over others.

strength- the quality or state of being physically strong.

As we have  COMPROMISE after the blank we need to use option according to it.

Only option 2 shows meaning according to the next given word so this will be the right choice.

The pattern followed here is:

Similarly,

Hence, “DPPRQLX” is the correct answer.

The pattern followed here is:

Hence, “126” is the correct answer.

The pattern followed here is:

1. HJL → H + 2 = J, J + 2 = L

2. SUV → S + 2 = U, U + 2 = W ≠ V

3. BDF → B + 2 = D, D + 2 = F

4. NPR → N + 2 = P, P + 2 = R

Hence, “SUV” is the correct answer.

The pattern followed here is:

Given: 13 : 65 → 13 × 5 = 65

1) 19 : 5 → 19 × 5 = 95

2. 21 : 85 → 21 × 5 = 105 ≠ 85

3. 17 : 42 → 17 × 5 = 85 ≠ 42

4. 12 : 45 → 12 × 5 = 60 ≠ 45

Hence, “19 : 95” is the correct answer.

Following are the stages of life of a human being in a logical order:

3. Infancy

4. Childhood

5. Adolescence

6. Adulthood

7. Senility

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

When a triangle is divided in different bases, then count the number of triangles and add them all.

In triangle ABD, we have two bases = BC and CD ⇒ 3 triangles

In triangle BGD, we have two bases = GI and ID ⇒ 3 triangles

In triangle EGH, we have two bases = GF and FE ⇒ 3 triangles

The last triangle remaining is GED.

Thus, total triangles = 3 + 3 + 3 + 1 = 10

Hence, “10” is the correct answer.

The pattern followed here is:

Lizard is an example of Reptiles.

Similarly,

Toad is an example of Amphibians.

Hence, “Amphibians” is the correct answer.

Except wolf, all others are domestic animals.

Wolf is a wild animal.

Hence, “wolf” is the correct answer.

The pattern followed here is:

Given: (7, 4, 65) → 7² + 4² = 49 + 16 = 65 = 65

1. (11, 8, 105) → 11² + 8² = 121 + 64 = 185 ≠ 105

2. (6, 4, 70) → 6² + 4² = 36 + 16 = 52 ≠ 70

3. (9, 6, 80) → 9² + 6² = 81 + 36 = 117 ≠ 80

4) (5, 4, 41) → 5² + 4² = 25 + 16 = 41 = 41

Hence, “(5, 4, 41)” is the correct answer.

Ginger : Stem → Ginger is a stem.

Chilli : ?

By going through the options:

1. Fruit → Chilli will be considered as fruit.

2. Flower → Chilli is not a flower.

3. Root → Chilli never grows in soil.

4. Stem → Chilli is not a stem.

After, removing the last three options, we are left with only “Fruit”. So, Chilli is considered as a fruit.

Hence, “fruit” is the correct answer.

The pattern followed here is:

RUBY → 18 + 21 + 2 + 25 = 66 and 66 × 4 = 264 where 4 is the no. of letters in the word RUBY.

PAY → 16 + 1 + 25 = 42 and 42 × 3 = 126 where 3 is the no. of letters in the word PAY.

Similarly,

RUPAY → 18 + 21 + 16 + 1 + 25 = 81 and 81 × 5 = 405 where 5 is the no. of letters in the word RUPAY.

Hence, 405 is the correct answer.

Adjacent elements of $ = O, #, &, ©

Adjacent elements can never be on the opposite surface of a particular element.

The only element left is £.

So, £ will be opposite to the face having $.

Hence, “£” is the correct answer.

All brothers are Males, but all brothers and males need not be doctors.

The best possible Venn diagram is as follows:

Hence, “option 4” is the correct answer.

The pattern is as follows:

Important : Essential → Essential and Important are synonyms.

1. Never : Always → Never and Always are antonyms.

2. Up : Down → Up and Down are antonyms.

3. Pick : Drop → Pick and Drop are antonyms.

4. Awful : Horrible → Awful and Horrible are synonyms.

Hence, “Awful : Horrible” is the correct answer.

Given equation: 18 + 25 - 10 × 10 ÷ 5 = 203

1. • and -, 18 and 25

25 - 18 + 10 × 10 ÷ 5

= 25 - 18 + 10 × 2

= 25 - 18 + 20

= 45 - 18

= 27 ≠ 203

2. × and -, 18 and 25

25 + 18 × 10 - 10 ÷ 5

= 25 + 180 - 2

= 205 - 2

= 203

3. • and ÷, 18 and 5

5 ÷ 25 - 10 × 10 + 18

= 0.2 - 100 + 18

= 18.2 - 100

= -81.8 ≠ 203

4. × and ÷, 25 and 5

18 + 5 - 10 ÷ 10 × 25

= 23 - 1 × 25

= 23 - 25

= -2 ≠ 203

Hence, “× and -, 18 and 25” is the correct answer.

When unfolded, the paper will look like the below figure:

Hence, “option 4” is the correct answer.

The mirror image of the question figure is as follows:

Hence, “option 1” is the correct answer.

Given: (16, 4, 80) → 16 × 4 + 16 = 64 + 16 = 80

Similarly,

(13, 5, 78) → 13 × 5 + 13 = 65 + 13 = 78

Hence, “(13, 5, 78)’ is the correct answer.

Using the below table, we can draw the family tree:

Here, the gender of Ramesh was not defined, but in this case, we have only three choices i.e. can’t be determined, brother, sister.

According to options, Ramesh will be the brother of Prabhat.

Hence, “brother” is the correct answer.

71, 73 and 59 are prime numbers.

But 87 = 29 × 3. Therefore, 87 is a composite number.

Hence, “87” is the correct answer.

The least possible Venn diagram is as follows:

Explanation:

I. All eggs are crows → True (All eggs are hens, which are birds, which in turn are crows. So, all eggs are crows is true).

II. All hens are crows → True (All hens are birds, which are crows. So, all hens are crows is true).

III. Some crows are birds → True (All birds are crows. So, some part of crows will be birds)

Hence, “All conclusions I, II and III follow” is the correct answer.

In the given series, the figure is rotating in an anticlockwise direction.

The no. of dots reduces by 1 at each step.

Hence, “option 4” is the correct answer.

Till 2000, odd days = 0 (2000 is a century leap year)

Odd days in 20 years (from 2001 to 2020) = (No. of leap years × 2 + no. of non-leap years × 1) mod 7 = (5 × 2 + 15 × 1) mod 7 = remainder of (25 ÷ 7) = 4

2021 is a non-leap year

Odd days in 2021 → (odd days in jan + odd days in feb + odd days in march + odd days in april + odd days in may + odd days in june + odd days in july + odd days till 15 august) mod 7

Odd days = 3 + 0 + 3 + 2 + 3 + 2 + 3 + 1 = 17 odd days = 17 ÷ 7 = 3 days

Total odd days = 4 odd days + 3 odd days = 7 odd days

Total odd days = 7 ÷ 7 = 0 (remainder) → 0 odd days

Codes for the days:

We’ve got 0 odd days.

Thus, 15 August 2021 fell on a Sunday.

Hence, “Sunday” is the correct answer.

The question figure is embedded in the below figure:

Hence, “option 2” is the correct answer.

The pattern followed here is:

Hence, “SR” is the correct answer.

Calculation:

⇒ $2\frac{1}{3};of;\left( {\frac{3}{5} \div \frac{2}{9}} \right) - \left( {4\frac{2}{5}; + ;\frac{{19}}{{20}} \div \frac{1}{2}} \right)$

$\Rightarrow\frac{7}{3};of;\left( {\frac{3}{5}; \times ;\frac{9}{2}} \right) - \left( {\frac{{22}}{5}; + ;\frac{{19}}{{20}}; \times ;\frac{2}{1}} \right)$

$\Rightarrow \frac{7}{3}; \times ;\frac{{27}}{{10}};-;\left( {\frac{{22}}{5}; + ;\frac{{19}}{{10}}} \right)$

$\Rightarrow ;\frac{{63}}{{10}};-;\frac{{\left( {44; + ;19} \right)}}{{10}}$

$\Rightarrow \frac{{63}}{{10}};-;\frac{{63}}{{10}}$

⇒ 0

∴ The correct answer is 0.

Calculation:

The total sale from B of all the months = 9000 + 7000 + 9000 + 11000 = 36000

The average sale from B of all the months = 36000/4 = 9000

The total sale from C of all the months = 10000 + 5000 + 8000 + 9000 = 32000

The average sale from C of all the months = 32000/4 = 8000 kg

Difference of the average sale from B and C = 9000 – 8000 = 1000 kg

∴ The average sale per month from B is 1000 kg more than that from C

Calculation:

The average sale by A during Jan – Mar,2018 = (8000 + 6000 + 8000)/3 = 7333.33 kg

∴ The correct answer is 7333.33 kg

Calculation:

Ratio of sales from B to that from A and C in Jan = 9/(8 + 10) = 9/18 = 0.5

Ratio of sales from B to that from A and C in Feb = 7/(6 + 5) = 7/11 = 0.63

Ratio of sales from B to that from A and C in Mar = 9/(8 + 8) = 9/16 = 0.56

Ratio of sales from B to that from A and C in Apr = 11/(9 + 9) = 11/18 = 0.61

∴ Arranging them in ascending order: Jan, Mar, Apr, Feb

Calculation:

The rate of growth in sales from B in March 2018 with reference to its previous month = (9 – 7)/7 = 2/7

The rate of growth in sales from C in March 2018 with reference to its previous month = (8 – 5)/5 = 3/5

The ratio of rate of growth in sales from B to the rate of growth in sales from C in Mar 2018 with reference to its previous month = 2/7 : 3/5 = 10 : 21

∴ The correct answer is 10 : 21.

Calculation:

In an equilateral triangle, the circumcentre, incentre, orthocentre and the centroid of a triangle are one and the same point.

The correct option is option 2.

Given:

Two items are sold for Rs. 18,602 each

Calculation:

The cost price of the item sold at 31% gain = 18602 × 100/(100 + 31) = Rs. 14200

The cost price of the item sold at 29% loss = 18602 × 100/(100 – 29) = Rs. 26200

⇒ The total cost price of both the items = 14200 + 26200 = Rs. 40400

The total selling price of both the items = 18602 + 18602 = Rs. 37204

Loss = Total cost price – Total selling price

⇒ 40400 – 37204

⇒ Rs. 3196

Loss percent = (3196/40400) × 100 = 7.91%

∴ The correct answer is 7.91%.

Calculation:

3 × (cosec² θ + cot² θ) = 5

⇒ 3( 1 + cot² θ + cot² θ ) = 5    (∵ cosec² θ – cot² θ = 1)

⇒ 3( 1 + 2 cot² θ) = 5

⇒ 3 + 6 cot² θ = 5

⇒ 6 cot² θ = 2

⇒ cot² θ = 2/6

⇒ cot² θ = 1/3

⇒ cot θ = 1/√3

⇒ θ = 60°

∴ The correct answer is θ = 60°

Shortcut Trick

Since PQ || AC, triangle PBQ is similar to triangle ABC.

The ratio of areas of similar triangles is equal to the square of the ratio of their corresponding sides.

Area(ABC) : Area(PBQ) = 3 : 1 ⇒ BC² : BQ² = 3 : 1 ⇒ BC : BQ = √3 : 1.

We need CB : CQ = CB : (CB − BQ) = √3 : (√3 − 1).

Multiply by conjugate (√3 + 1): √3(√3 + 1) : (√3 − 1)(√3 + 1) = √3(√3 + 1) : (3 − 1).

∴ The correct answer is √3(√3 + 1) : 2.

Alternate Method

Given:

Area of ΔABC : Area of ΔPBQ = 3 : 1

Calculation:

Area of ΔABC / Area of ΔPBQ = 3/1

⇒ CB/BQ = √3/√1 = √3/1

Let CB = √3x and BQ = x

⇒ CQ = CB − BQ

⇒ CQ = √3x − x = (√3 − 1)x

⇒ CB/CQ = √3x / (√3 − 1)x

⇒ CB/CQ = √3 / (√3 − 1)

⇒ CB/CQ = [√3(√3 + 1)] / [(3 − 1)]

⇒ CB/CQ = √3(√3 + 1) / 2

∴ CB : CQ = √3(√3 + 1) : 2

∴ The correct answer is √3(√3 + 1) : 2.

Additional Information

Similar Triangles Property

If two triangles are similar, the ratio of their areas is equal to the square of the ratio of any two corresponding sides, altitudes, or medians.

Basic Proportionality Theorem (Thales' Theorem)

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Conjugate Multiplication

To simplify an irrational denominator like (a − √b), multiply both numerator and denominator by its conjugate (a + √b) to apply (x − y)(x + y) = x² − y².

Calculation:

⇒ \(\frac{1}{4}\left{ {{{\left( {a; + ;\frac{1}{a}} \right)}^2} - ;{{\left( {a - \frac{1}{a}} \right)}^2}} \right}~\)

\(\Rightarrow ;\frac{1}{4}\left{ {{a^2}; + ;\frac{1}{{{a^2}}}; + ;2 - \left( {{a^2}; + ;\frac{1}{{{a^2}}} - 2} \right)} \right}\)

$\Rightarrow ;\frac{1}{4}\left( {{a^2}; + ;\frac{1}{{{a^2}}}; + ;2 - {a^2} - ;\frac{1}{{{a^2}}}; + ;2} \right)$

⇒ 4/4

⇒ 1

∴ The correct answer is 1.

Calculation:

Let the number be x.

The reciprocal of the number = 1/x

According to the question:

(x + 1/x)/2 = 4

⇒ x + 1/x = 8

⇒ (x + 1/x)³ = 512

⇒ x³ + 1/x³ + 3(x × 1/x)(x + 1/x) = 512

⇒ x³ + 1/x³ + 3(8) = 512

⇒ x³ + 1/x³ = 512 – 24

⇒ x³ + 1/x³ = 488

⇒ (x³ + 1/x³)/2 = 244

∴ The average of cube of a number and its reciprocal is 244

Alternate MethodConcept used:

x + 1/x = P

x3 + 1/x3 = P³ - 3P

Calculation:

Let the number be x.

The reciprocal of the number = 1/x

⇒ (x + 1/x)/2 = 4

⇒ x + 1/x = 8

⇒ x3 + 1/x3 = (8)³ - 3 × 8

⇒ x3 + 1/x3 = 512 - 24 = 488

The average of its cube and its reciprocal = 488/2 = 244

∴ The correct answer is 244.

Calculation:

In the first quadrant, i.e. 0° < θ < 90°, sinθ, tanθ and secθ are increasing functions and cosθ, cotθ and cosecθ are decreasing functions.

∴ The correct answer is tanθ.

Given:

a : b : c = 1 : 3 : 5

Calculation:

Let a = x, b = 3x and c = 5x

⇒ $\frac{{4a - b; + ;2c}}{{3\left( {a; + ;b; + ;c} \right)}}$

$\Rightarrow \frac{{4x - 3x; + ;2\left( {5x} \right)}}{{3\left( {x; + ;3x; + ;5x} \right)}}$

$\Rightarrow \frac{{4x - 3x; + ;10x}}{{3\left( {9x} \right)}}$

$\Rightarrow \frac{{11x}}{{27x}}$

⇒ 11/27

∴ The correct answer is 11/27.

Given:

The seven-digit number 78x1y68 is divisible by 88.

Concept used:

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

(ii) Divisibility Rule of 11: For a number to be divisible by 11, the difference between the sum of digits at even places to the sum of digits at odd places should be zero or multiple of 11

Calculations:

Checking divisibility by 11,

⇒ The difference of (7 + x + y + 8) and (8 + 1 + 6) should be zero or multiple of 11.

(7 + x + y + 8) - (8 + 1 + 6) = 11

⇒ 15 + x + y – 15 = 11

⇒ x + y = 11

∴ The value of (x + y) is 11.

Hint

The question could be solved by first finding the possible values of y by first checking the divisibility by 8, but the process becomes more time-consuming.

Given:

(3x + 1)³ + (x - 3)³ + (2x - 4)³ = 3 (3x + 1) (x - 3) (2x - 4)

Calculation:

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

So,

⇒ (3x + 1) + (x – 3) + (2x – 4) = 0

⇒ 6x – 6 = 0

⇒ 6x = 6

⇒ x = 1

∴ The correct answer is 1.

Calculation:

⇒ $\frac{{1.0025; + ;6.25; \times ;{{10}^{ - 6}}}}{{0.0025; + ;0.95}}$

$\Rightarrow \frac{{1.0025; + ;0.00000625}}{{0.0025; + ;0.95}}$

$\Rightarrow \frac{{1.00250625}}{{0.9525}}$

⇒ 1.0525

∴ The correct answer is 1.0525.

Given:

Amount for 3 years = 8000

Amount for 6 years = 27000

Formula used:

A = P(1 + r/100)ⁿ

Where, A = Amount

P = Principal, r = Rate of interest, n = Time period

Calculation:

When the sum amounts to Rs.8000 in 3 years:

8000 = P(1 + r/100)³       ----(1)

When the sum amounts to Rs.27000 in 6 years:

27000 = P(1 + r/100)⁶       ----(2)

Dividing equation (2) by equation (1)

27/8 = (1 + r/100)³

Taking cube root on both the sides

1 + r/100 = 3/2

⇒ r/100 = 3/2 – 1

⇒ r/100 = 1/2

⇒ r = 50%

∴ Rate of interest is 50%

Calculation:

Difference in time = 15 + 10 = 25 min = 1500 second

Distance = 25 km = 25000 m

Let the speed of bus be B m/s and the speed of car be C m/s

⇒ 25000/B – 25000/C = 1500

⇒ 25000(1/B – 1/C) = 1500

⇒ 1/B – 1/C = 1500/25000 = 3/50

∴ The difference of the reciprocals of average speeds of the bus and the car is 3/50 seconds per metre.

Calculation:

Let the observer stand at point A on the circle.

The angle subtended by an arc at any point on the major segment is half of the angle subtended by the arc at the centre of the circle.

⇒ ∠BAC = ½ ∠BOC = 10°/2 = 5°

∴ The measure of angle described by the athlete by an observer standing on the circle is 5°

Given:

A, B and C can respectively complete a piece of work in 20, 24 and 36 days respectively.

Calculation:

A can complete a piece of work in 20 days

⇒ One day work of A = 1/20

B can complete a piece of work in 24 days

⇒ One day work of B = 1/24

C can complete a piece of work in 36 days

⇒ One day work of C = 1/36

When A, B and C work together, their one day work = 1/20 + 1/24 + 1/36

 = (18 + 15 + 10)/360

 = 43/360

Hence, A, B and C working together will complete the work in 360/43 = $8\frac{{16}}{{43}}$ days.

∴ The correct answer is  $8\frac{{16}}{{43}}$ days.

Shortcut TrickCalculation:

Required nuber of days = 360/(18 + 15 + 10) = 360/43 = $8\frac{{16}}{{43}}$

∴ The correct answer is  $8\frac{{16}}{{43}}$ days.

Given:

Two chords AB and CD of a circle intersect at a point O inside the circle.

AO = 1 cm; AB = 13 cm; CD = 8 cm

Calculation:

Let CO = x

⇒ OD = 8 – x

We have, AO × OB = CO × OD

⇒ 1 × 12 = x × (8 – x)

⇒ 12 = 8x – x²

⇒ x² – 8x + 12 = 0

⇒ x(x – 6) - 2(x – 6)

⇒ (x – 6)(x – 2)

⇒ x = 6 or x = 2

When x = 6,

CO = 6 and OD = 8 – 6 = 2

When x = 2

CO = 2 and OD = 8 – 2 = 6

⇒ The larger section = 6 and the smaller section = 2

The ratio of larger and smaller section = 6 : 2 = 3 : 1

∴ The correct answer is 3 : 1

Calculation:

Marks scored by the student in theory = 40 × 80/100 = 32

Marks scored by the student in practical = 30 × 70/100 = 21

Marks scored by the student in project = 20 × 60/100 = 12

Marks scored by the student in viva = 10 × 50/100 = 5

Total marks scored by the student = 32 + 21 + 12 + 5 = 70

The aggregate percentage = 70/100 × 100 = 70%

∴ The correct answer is 70%

Given:

First diagonal (d₁) = 4 cm; second diagonal (d₂) = 12 cm

Formula used:

Area of rhombus = ½ × (diagonal₁) × (diagonal₂)

Calculation:

Area of rhombus = (1/2) × diagonal1 × diagonal2

⇒ (1/2) × 4 × 12

⇒ 24 cm²

∴ The correct answer is 24 cm2.

Given:

S.P = Rs. 688.16

Calculation:

Let the mark price be Rs.x.

⇒ x × (100 – 12)/100 × (100 – 8)/100 = 688.16

⇒ x × 88/100 × 92/100 = 688.16

⇒ x = 688.16 × 100/88 × 100/92

⇒ x = Rs. 850

∴ The correct answer is Rs. 850.

Given:

5 sinθ + 12 cosθ = 13

Calculation:

⇒ sin2θ + cos2θ = 1 ----(1)

⇒ 5/13 sinθ + 12/13 cosθ = 1  ---(2)

Comparing it with equation (2)

sin θ = 5/13 and cos θ = 12/13

⇒ tanθ = sinθ/cosθ = (5/13)/(12/13) = 5/12

∴ The correct answer is 5/12.

The correct answer is option 2) i.e. Provident Fund.

• Provident Fund is an amount of money consisting of regular payments by an employee and an employer over a period of time that the employee receives when they leave a company or retire.
• Employees' Provident Fund Organisation (EPFO) is the organisation which regulates the provident fund of all the workers employed in the Organised sector in India.
• A mutual fund is a company that pools money from many investors and invests the money in securities such as stocks, bonds, and short-term debt.
• A balanced fund is a mutual fund that contains a stock component, a bond component and sometimes a money market component in a single portfolio.
• An Index Fund today is a source of investment for investors looking at the long term, less risky form of investment.

The correct answer is option 1) i.e. Jammu and Kashmir.

• The "Burzahom" Neolithic site is located in the Kashmir Valley of the Indian Union territory of Jammu and Kashmir, in the district of Srinagar**.**
• The site of Burzahom is a unique comprehensive storyteller of life between 3000 BCE to 1000 BCE.
• The Burzahom site revealed the transition from the subterranean and ground-level housing features of the Neolithic people to the mudbrick structures of the Megalithic people. The site was Excavated in 1939.

The correct answer is option 2) i.e. Param Yuva 2.

• Param Yuva 2 is a supercomputer developed by India.
• Supercomputer Param Yuva-2 was rated first in India, 9th in the Asia Pacific Region and 44th in the world among the most Power-efficient computer system as per the Green 500 list.
• It was developed by the Centre for Development of Advanced Computing (C-DAC).
• It uses hybrid technology, processor, co-processor and hardware accelerators.

https://www.cdac.in/index.aspx?id=hpc_nsf_param_yuva_ii

The correct answer is Krishna.

• The Krishna River is a peninsular river which rises from a spring near Mahabaleshwar and flows for about 1400 km and reaches the Bay of Bengal.
• The Tungabhadra, the Koyana, the Ghatprabha, the Musi and the Bhima are some of its tributaries.
• Its drainage basin is shared by Maharashtra, Karnataka and Andhra Pradesh.
• Some of the other major peninsular rivers which flow eastwards and drain into the Bay of Bengal are the Mahanadi, the Godavari, the Krishna and the Kaveri.

Please go through the given link for more Information on Krishna river. : http://www.cpreecenvis.nic.in/Database/River_Krishna_924.aspx

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

Note: For more information on the Hirakud dam, please visit the link given: https://sambalpur.nic.in/tourist-place/name-of-tourist-place-to-visit/

The correct answer is option 1) i.e. Engineers India Limited.

• Engineers India Limited was incorporated pursuant to a formation agreement dated November 20, 1964, between the Government of India and BIC.
• In 1965 it commenced work in the refineries segment. and in 1967 became a wholly-owned Government of India (GoI) company.
• In 1997 it was accorded the Mini Ratna status and also listed on the BSE and NSE.
• In 2014 it was conferred the "Navratna" status by the Govt. of India.
• Steel Authority of India Limited & Coal India Limited are Maharatna company and Rashtriya Chemicals and Fertilizers Limited is a Miniratna company.
• There are 8 Maharatna companies and 16 Navratna companies.

Mistake Points

• Many students confuse Coal India Limited as a Navratna company, which is actually one of the 13 Maharatna companies.

Get the link of all Maharatna, Navratna, and Miniratna companies here.

The correct answer is option 4) i.e. ​Dalai Lama.

• 'Freedom in Exile' is the autobiography of  ​Dalai Lama.
• This book was published on August 1st 1991 by Harper San Francisco.
• The Dalai Lamas are believed by Tibetan Buddhists to be manifestations of Avalokiteshvara, the Bodhisattva of Compassion and the patron saint of Tibet.
• Bodhisattvas are realized beings, inspired by the wish to attain complete enlightenment, who have vowed to be reborn in the world to help all living beings.

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

• Ashtamudi lake is an estuary which lies in the Kollam district.
• This is the second largest wetland in Kerala with a palm-shaped extensive water body and eight prominent arms, adjoining the Kollam town.
• All the arms converge into a single outlet at Neendakara near Kollam, to enter the Arabian sea.
• This estuary is the deepest among all the estuaries of Kerala with a maximum depth of 6.4 m at the confluence zone.
• The Kallada river which originates from the western ghats, traverses through virgin forests and finally falls into the Ashtamudi wetland, after traveling a distance of about 120 km.
• The 8 arms or channels of the Ashtamudi Lake are what gave it its name.
• It is the entrance to the famous backwaters of Kerala and the houseboat rides here are extremely famous.

Note: For more information on lakes present in Kerala, please click the link given: http://www.kerenvis.nic.in/Database/Lakes_1634.aspx

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

• The Alaknanda river flowing in Uttarakhand is a Himalayan river.
• It is one of the two headstreams of the river Ganga, the other being Bhagirathi river.
• The source of the Alaknanda River is the confluence of the Satopanth glacier and the Bhagirathi Garak glacier.
• The length of the river is 190 km and the area of the drainage basin is 10882 km².
• It is joined by the Bhagirathi at Devaprayag in Uttarakhand.
• The other major tributaries of the Ganga in Uttarakhand are Dhauli Ganga, Rishi Ganga, Bal Ganga, Bhilangana, Mandakini and Pindar.

The correct answer is option 3) i.e. Light Detection and Ranging.

• LIDAR stands for Light Detection and Ranging.
• It is a remote sensing method that uses light in the form of a pulsed laser from the satellites or any aerial vehicle to measure ranges (variable distances) to the Earth.
• It is used in a wide range of land assessment, management and planning efforts, including hazard assessment (including lava flows, landslides, tsunamis, and floods), forestry, agriculture, geologic mapping, and watershed and river surveys.

Note: Please go through the following link for more information on the answer: https://oceanservice.noaa.gov/facts/lidar.html

The correct answer is option 2) i.e. Article 54.

Note: Please go through the following link for more information on the answer: https://www.india.gov.in/sites/upload_files/npi/files/coi_part_full.pdf

The correct answer is option 1) i.e. Arundhati Roy.

• The End of Imagination is a compendium of essays that brings together five of Arundhati Roy’s books.
• It was released in 2016. This book includes her nonfiction works Power Politics, War Talk, Public Power in the Age of Empire, and An Ordinary Person’s Guide to Empire, which include her widely circulated and inspiring writings on the U.S. invasions of Afghanistan and Iraq, the need to confront corporate power, and the hollowing out of democratic institutions globally.
• Arundhati Roy's written novel  "The God of Small Things" won the Man Booker Prize for Fiction in 1997.

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

• India's First Dolphin Research Centre is Established in Patna.
• It is the first of its kind in the whole of Asia. It is being set up with the objective to save the endangered Gangetic River Dolphin.
• The Dolphin Day is celebrated by the State Government of Bihar on 5th October every year.

Note: Please go through the following link for more information on the answer: http://cpreecenvis.nic.in/KidsCentre/IndiasfirstdolphinresearchcentretocomeupsooninPatna_5466.aspx

For Information about Animal Research Centers all over India, please refer this link: https://icar.org.in/content/institutes_or_universities_under_animal_science_division

The correct answer is option 1) i.e. Amazon India.

• Amazon India gets chosen as India’s most ‘attractive employer brand’, as per the findings of Randstad Employer Brand Research 2019.
• The company scored high on financial health, utilization of the latest technologies and a strong reputation.
• Other companies like Microsoft India and Sony India, were second and third on the list, respectively.
• Further, Google India has been inducted into the Hall of Fame category last year, for winning the coveted title for three consecutive years.

Note: Please go through the following link for more information on the answer: https://www.randstad.in/employer-brand-research/rebr-country-report-india-2019.pdf

The correct answer is option 1) i.e. M. Ananthasayanam Ayyangar.

• M. Ananthasayanam Ayyangar served as the First Deputy Speaker of the Lok Sabha.
• He was born on 4 February 1891 at Tiruchanur near the spiritual town of Tirupati in Andhra Pradesh.
• After obtaining his B.A. degree from the Pachaiyappa's College, Madras, he earned a degree in Law from the Madras Law College in 1913
• He began his career as a Mathematics teacher in 1912. In 1915 he ventured into the legal profession- Within a short period, he established himself as a professional lawyer and, with his unusual ability to memorise cases, soon earned the reputation of being a 'walking digest of case laws'.
• Through a public life spanning over six decades as a lawyer, as a social activist and freedom fighter, as an outstanding parliamentarian and Speaker and as a distinguished scholar, Ayyangar left an indelible imprint of his personality in every area he chose to tread on in life.

Note: Please go through the following link for more information on the answer: https://speakerloksabha.nic.in/frmspeaker.asp

The correct answer is Linux.

Key Points

• Linux is an operating system whereas Kaspersky, Norton and Avast are anti-virus software.
• Just like Windows, iOS, and Mac OS, Linux is an operating system.
• Android, is powered by the Linux operating system.
• An operating system is software that manages all of the hardware resources.To put it simply, the operating system manages the communication between your software and your hardware

Additional Information

• Antivirus is a kind of software used to prevent, scan, detect and delete viruses from a computer. Once installed, most antivirus software runs automatically in the background to provide real-time protection against virus attacks.
• Some examples of anti-virus software are McAfee, Norton, and Kapersky.

The correct answer is option 2) i.e. West Indies.

• The 1979 Prudential Cricket World Cup was won by West Indies.
• They were the defending champions when they won the 1979 World cup.
• They defeated hosts England by 92 runs in the final to win the cricket World Cup second time in a row at the same venue where they won their maiden World Cup in 1975 beating Australia.
• Vivian Richards who made 138 runs was adjudged player of the final.

The correct answer is option 4) i.e. Charles Wilkin.

• Sir Charles Wilkins is notable as the first translator of Bhagavad Gita from Sanskrit to English.
• He was an English typographer and Orientalist, and the founding member of The Asiatic Society.
• In 1784, Wilkins helped William Jones establish the Asiatic Society of Bengal.

The correct answer is Mallikarjuna-Andhra Pradesh.

Key Points

• The second jyotirlinga of Shiva, named Mallikarjuna is located in Srisailam, Andhra Pradesh also termed as Kashi of the South.
• It is located at a distance of around 215 km from Hyderabad in Nallamala hill forests along the banks of Krishna river.
• The Somnath temple believed to be the first among the twelve jyotirlinga shrines of Shiva located in Gir Somnath district of Gujarat.

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

• The National Institute of Mental Health and Neuro-Sciences (NIMHANS) is situated at Bangalore.
• It is the apex centre for mental health and neuroscience education in the country.
• This institute operates autonomously under the Ministry of Health and Family Welfare.
• It was deemed a central Institute of Importance in 1994. It was established in the year 1974.