SSC CHSL Previous Paper 22 (Held On: 13 March 2018 Shift 3) (Previous Year Paper)

The correct answer is beneficial

Key Points

• Beneficial means producing good results or helpful effects: conferring benefits
• Example: the beneficial effects of regular exercise

To nod = lower and raise one's head slightly and briefly showing agreement.

Clearly, A (head) must be first. Option 1) ABC is the correct answer.

She nodded her head, and unapologetically shrugged her shoulders while pointing to the fine receipt she had just handed to me.

We are living in = present tense. We are talking about a general thing => use simple present tense. Option 1) compromise is the correct answer.

If you exist among happy people, it can cheer you up. This is the meaning of the sentence. Option 3) being (existing) is the correct answer.

The correct answer is propulsion

Key Points

• Propulsion: the action or process of propelling (to drive forward)
  

Example: Sailboats use wind as their source of propulsion.

• Astern: behind or towards the rear of a ship or aircraft.
  

Example: The ship went full speed astern.

• Abaft: behind.
  

Example: abaft the mast

• Propitiate: win or regain the favour of (a god, spirit, or person) by doing something that pleases them.
  

Example: I've never gone out of my way to propitiate people.

• Thus, the correct answer is 'propulsion'.

The correct answer is Opprobrium

Key Points

• Opprobrium: open criticism or disapproval of something that someone has done.
  

Example: His political opinions have attracted the opprobrium of the Left.

• Kudos: praise and honour received for an achievement.
  

Example: a new hotel chain that has won kudos for the way it treats guests.

• Plaudit: praise.
  

Example: Her technique has earned her many plaudits.

• Ovation: a sustained and enthusiastic show of appreciation from an audience, especially by means of applause.
  

Example: They had lost by a wide margin, but their supporters gave them a defiant, loyal ovation.

• Thus, the correct answer is 'Opprobrium'

The correct answer is A day on which everything seems to go wrong.

Key Points

• A bad hair day: People sometimes say they are having a bad hair day when they do not feel very happy or relaxed, especially because their hair does not look good.
• Example: Mine was an especially unflattering photo, taken in poor light on a bad hair day.

The correct answer is To decide not to do something because you are too frightened.

Key Points

• Chicken out: If someone chickens out of something they were intending to do, they decide not to do it because they are afraid
• Example: His mother complains that he makes excuses to chicken out of family

The correct answer is 'Both'.

Key Points

• Both- Used to refer to two things or people together.
• For example- Both those chairs are occupied, I'm afraid.
• In this sentence history and sociology are being talked together.
• So, the correct answer for the given blank is 'Both'

Therefore, the correct sentence is- Up in a word. Both history and sociology 

Additional Information

• Let's see the use of other given options.
• Twice- Two times, on two occasions.
• For example- I only wore it twice.
• Pair- a set of two things used together or regarded as a unit.
• For example- I'm going to buy a new pair of shoes.
• Two- A quantity or number.
• For example- She is two years older than you.

As _____ as is used for comparison, with the blank filled with the positive degree of the adjective. Option 1) as is the correct answer.

The correct answer is 'For'.

Key Points

• 'For the sake' is a widely used idiom in everyday conversation which means purpose or in order to achieve that result.
• 'For' preposition is used to talk about a purpose or a reason for something.
• For example-  I'm going for some breakfast.
• So, according to both explanation it is clear that 'For' is the best suitable option.

Therefore, the correct sentence is- It is necessary for the sake of clear thinking. 

Additional Information

• Of-  Used to help quantify a time or measurement, identify a location and also create more general relationships between objects and their nouns.​
• For example- The first page of the book describes the author's profile.
• To- Used to indicate a destination or direction.
• For example- We're going to Liverpool next week.
• From-  to refer to the place where someone or something starts or originates.
• For example- We get our vegetables from the farm shop.

The blank must describe disciplines => use adjective. Option 3) various is the only possible choice.

Clearly, the blank must describe thing => use adjective. Option 1) important is the only possible choice.

The correct answer is Minuscule.

Key Points

• From the above options, we find that all the spellings are wrong except the Minuscule.

• Minuscule: Extremely small and tiny.

• The spelling Minuscule and Miniscule is correct for the same word.

The correct answer is The king exclaimed sadly that their enemies were too strong.

Key Points

While changing the narration of an exclamatory sentence, we need to follow the steps given below-

• An exclamatory sentence expresses a state of joy, sorrow, or wonder, to change them into Indirect Speech, specific words (i.e. exclaimed with joy, exclaimed with sorrow, exclaimed with surprise, etc.) are added to the sentence.
• Put "that" between the reporting and reported speeches. (it is optional to put "that" between the reporting and reported speech)
• Present indefinite tense in direct speech is changed into past indefinite tense in indirect speech.
• 'Our' will be changed into 'their'.

Thus, the sentence becomes: The king exclaimed sadly that their enemies were too strong.

The correct answer is They were refused donation by him.

Key Points  

• In Active Voice, a sentence emphasizes the subject, performing an action.
• In Passive Voice, a sentence emphasizes the action or the object of the sentence.
• The given sentence is in the active voice and 'He' is the subject and 'them' is the object.
• When we convert this sentence into passive voice, the subject 'He' of the active voice becomes the object (him), the object 'them' becomes the subject 'they'.
• The passive format "were + V3 (refused)" should be used.
• This is the active and passive voice rule for the past simple tense.
  

Hence, the correct answer is option 3.

Additional Information

• Verbs of passive format have a different set of tenses (*V3 - Past participle or Third form of the Verb) as given below in the table:
  

Developing is an adjective and therefore, must be followed by a noun. Thus, P (starts with and) can't be first. Rule out 1). A sentence can't end with a comma. Thus, P can't be last either. Rule out 3) and 4). Option 2) QPR is the correct answer.

In developing countries, due to high poverty and poor schooling opportunities, child labour is still prevalent.

The correct answer is Dry

Key Points

• Meaning of the words given in the options are:
• ​Dank: A dank place, especially an underground place such as a cave, is unpleasantly damp and cold.
  

Example: The kitchen was dank and cheerless.

• Close: When you close something such as a door or lid or when it closes, it moves so that a hole, gap, or opening is covered.
  

Example: Zacharias heard the door close.

• Sticky: A sticky substance is soft, or thick and liquid, and can stick to other things.
  

Example: If the dough is sticky, add more flour.

• Moist: Something that is moist is slightly wet.
  

Example: The soil is reasonably moist after the September rain.

• Dry: If something is dry, there is no water or moisture on it or in it.
  

Example: Clean the metal with a soft dry cloth.

• ​Thus, 'dry' is the correct answer.

The correct answer is Reserved

Key Points

• Meaning of the words given in the options are:
• Voluble: If you say that someone is voluble, you mean that they talk a lot with great energy and enthusiasm.
  

Example: She was voluble with excitement.

• Reserved: Someone who is reserved keeps their feelings hidden.
  

Example: He was unemotional, quite quiet, and reserved.

• Talkative: Someone who is talkative talks a lot.
  

Example: A talkative friend is lucky for you.

• Fluent: Someone who is fluent in a particular language can speak the language easily and correctly. 
  

Example: He speaks fluent Russian.

• Gabby: inclined to chatter; talkative
  

Example: The gabby neighbor was suddenly at a loss for words.

• ​Thus, 'reserved' is the correct answer.

The correct answer is "Budding".

Key Points

• The word "nascent" means in the initial stages or growing (प्रारंभिक चरण या बढ़ रहा है).
• For example - A nascent nationalist movement is emerging in Ukraine
• The word "budding" means growing (बढ़ रहा है).
• For example - While still at school she was clearly a budding genius.
• So, according to above explanation we can say that 'Budding' is a synonym of 'Nascent'.

Therefore, the correct answer is option 3 i.e. 'Budding'.

Additional Information

• The word nasal means relating to the nose (नाक से संबंधित).
• For example - She talked in a deep nasal monotone.
• The word mature means - fully developed or full-grown (पूर्ण रूप से विकसित)
• For example - He has a mature outlook on life.
• The word permanent means - lasting or intended to last or remain unchanged indefinitely (स्थायी या अनिश्चित काल तक अपरिवर्तित रहने या बने रहने का इरादा).
• For example - The museum's permanent collection includes works of art from the 18th century.​

The correct answer is 'Ace'.

Key Points

• Virtuoso = a person highly skilled in music or another artistic pursuit; expert; ace
• E.g.- We have seen a virtuoso display of synthetic anger from the master himself.
• Ace- a person who excels at a particular sport or other activity.
• E.g.- He aced his annual physical.
• Thus, according to the above mentioned meaning definition both words are synonyms to each other and therefore the answer.

The correct answer is  laziness

Key Points

• Meaning of the words given in options:
• Ciliation: possessing or relating to cilia
• laziness: the quality of being unwilling to work or use energy; idleness
• abolition: the action of abolishing a system, practice, or institution
• bisection: to divide into two equal parts
• Working hard ensures that you remain healthy. The opposite of that is being lazy.
• Thus, Option 2) laziness is the correct answer.

Such = to indicate the type mentioned. Clearly, equation = singular. Use article a to indicate its quantity. Option 3) such a complicated is the correct answer.

We use 'such' before a noun or an adjective + a noun. If there is 'a' or 'an', it goes after 'such'. She was such a beautiful woman (= she was a very beautiful woman). NOT: 'she was a so beautiful woman'.

The error is in 3). The correct order of adjectives is Quantity-Opinion-Size-Shape-Age-Colour-Origin-Material-Type-Purpose.

Single = quantity.

Largest = size.

Thus, the sentence is wrong because of the order.

the single largest machine in the world.

Notice that a had also been wrongly used in place of the.

The correct answer is 2

Key Points

• 'would have bought' will be there in place of 'will buy'
• What are Third conditional sentences?
  

Third conditional sentences are used to explain that present circumstances would be different if something different had happened in the past.

We use (had +past participle) in "if clause" and (should have/ could have/would have.. +verb3 form) in "main clause." 

EXAMPLES:

• If you had studied harder, you would have passed the exam.
• If I had known you were sick, I would have visited you in the hospital.

Thus, the correct sentence is: If I had cared, I would have bought it again.

The pattern followed here is:-

In Gold : Jewellery 

Jewellery is made of Gold

Similarly,

In Brick : Wall

Wall is made of Brick

Hence, the correct answer is "Brick : Wall".

The logic followed here is:-

The second number in the pair is the product of digits of the first number

In 94 : 36

9 × 4 = 36

Similarly,

In 47 : 28

4 × 7 = 28

Hence, the correct answer is "28".

The logic used here is,

MLF: OOJ

Similarly,

RIG: TLK

Hence, the correct answer is " RIG: TLK ".

The pattern is followed here is:-

As we can seen clearly, Except cricket, all other are the indoor games.

Hence, the correct answer is "Cricket".

The logic follows here is:-

Second number - First number = 2

1) In 69 - 71

71 - 69 = 2

2. In 61 - 63

63 - 61 = 2

3. In 77 - 79

79 - 77 = 2

4. In 63 - 67

67 - 63 = 4

Hence, the correct answer is "63 - 67".

1. HM → H = 8; M = 13 → 13 - 8 = 5

2. KR → K = 11; R = 18 → 18 - 11 = 7

3. SX → S = 19; X = 24 → 24 - 19 = 5

4. GL → G = 7; L = 12 → 12 - 7 = 5

Here, we can see that Option 2 is the odd one.

Hence, the correct answer is " KR ".

The correct order of the given words as they would appear in an English dictionary is as follows:-

3. Include
4. Income
5. Incomplete
6. Incorrect
7. Increment

Hence, the correct answer is "35124".

The logic followed here is:-

Hence, the correct answer is "352".

The logic followed here is,

Hence, the correct answer is " Y ".

Let the weight of Ankit is 9x kg

Weight of Deep → 1/9 × 9x = x kg

Weight of Ram → 4 × x = 4x kg

Weight of Bablu → 4x/2 = 2x kg

Weight of Arun → 4/7 × 2x = 1.14x kg

Ankit > Ram > Bablu > Arun > Deep

As we can seen clearly, Arun’s weight is more than the weight of Deep but less than the weight of Bablu.

Hence, the correct answer is "Arun".

Given word → Heating

1. Fate → Heating (Cannot be formed because F word is missing in Heating)

2. Ate → Heating (All the letter are present so, the word 'Ate' can be formed)

3. Gate → Heating (All the letter are present so, the word 'Gate' can be formed)

4. Gain → Heating (All the letter are present so, the word 'Gain' can be formed)

Hence, the correct answer is "Fate".

The pattern followed here is:-

Each letter is represented by its positional value in alphabetical series.

LINK is coded as 1291411

L = 12, I = 9, N = 14, K = 11

FUEL is coded as 621512

F = 6, U = 21, E = 5, L = 12

Similarly,

TORN is coded as 20151814

T = 20, O = 15, R = 18, N = 14

Hence, the correct answer is "20151814".

Equation after interchanging the signs,

5 × 20 ÷ 4 - 10 + 8 = ?

⇒ 25 - 10 + 8 = ?

⇒ 23 = ?

Hence, 23 is the correct alternative.

Equation we get on interchanging ‘+ and ×’:

12 ÷ 4 - 15 + 10 × 2 = 8

⇒ 3 - 15 + 20 = 8

⇒ 8 = 8

Hence, we need to change ‘+ and ×’ to prove the given equation correct.

The followed pattern is:

aΔb = 10 × (a + b)

4Δ2 = 60 → 10 × (4 + 2) = 60

7Δ9 = 160 → 10 × (7 + 9) = 160

8Δ3 = 110 → 10 × (8 + 3) = 110

3Δ2 = ? → 10 × (3 + 2) = 50

Hence, 50 is the correct alternative.

The pattern followed here is,

Starting from backward of every term, replace an alternate letters by Y and X respectively.

Hence, the correct answer is " XXXXXXY ".

As per the given information,

1. L walks 10 m south.

2. Then turns left and walks 25 m.

3. M walks 20 m west.

4. Then turns to his right and walks 15 m.

5. Then turns east and walks 45 m.

Now, combining the distance and turns of both L and M, we get:

As per the above diagram, distance between L and M = (15 + 10) m = 25 m.

Hence, the correct answer is " 25 North ".

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. All pockets are wallets → False (It is possible but not definite)

II. No wallets are pockets → False (It is not possible)

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

As per the given information,

→ Rectangle represents Opticians.

→ Square represents Europeans.

→ Triangle represents Campers.

Hence, the correct answer is " IDH ".

The logic followed is,

Hence, the correct answer is " RAH ".

The followed pattern is:

Hence, the correct answer is " 80 ".

The followed logic is:

→ (x, x + 4, x + 4)

On checking each option:

1. (17, 21, 25) → 17 + 4 = 21; 21 + 4 = 25

2. (12, 16, 20) → 12 + 4 = 16; 16 + 4 = 20

3. (19, 23, 27) → 19 + 4 = 23; 23 + 4 = 27

4. (22, 26, 32) → 22 + 4 = 26; 26 + 6 = 32

Here, we can see that Option 4 doesn't satisfy the logic.

Hence, the correct answer is " (22, 26, 32) ".

The correct mirror image of the given figure when the mirror is held on the right side is:

Hence, the correct answer is " Option 2 ".

Additional Information

In the Mirror image left side and right side changed vice-versa where the top and bottom remain the same.

The reflection of an object into the water is its water image. It appears by inverting an object vertically i.e. upside down.

The water image of the figure looks like the mirror image of the figure in case the mirror is horizontally at the bottom of the figure.

The water image is just a reflection where the top and bottom parts of the images changed while the left and right sides of the image remain the same.

Given →

Unfolded cube

The opposite sides of the cube when the unfolded cube will be folded are:-

Checking option one by one:-

1. Cube in option figure (1) one can be formed as no two opposite faces of the cube are present adjacent to each other.

2. Cube in option figure (2) one can be formed as no two opposite faces of the cube are present adjacent to each other.

3) Cube in option figure (3) one can be formed as no two opposite faces of the cube are present adjacent to each other.

4. Cube In the option (4) cannot be formed as two opposite faces of the cube i.e.

 and 

 are adjacent to each other while they should be opposite. 

Hence, the correct answer is "Option 4".

The pattern followed here is:-

A letter is represented first by its row number of the matrix then by its column number of the matrix.

1. In 20, 79, 42, 96

20 → F; 79 → W; 42 → M; 96 → Q (So, the word formed is 'FWMQ')

2. In 32, 57, 55, 97

32 → E; 57 → N; 55 → V; 97 → Y (So, the word formed is 'ENVY')

3. In 40, 89, 30, 78

40 → K; 89 → R; 30 → H; 78 → U (So, the word formed is 'KRHU')

4. In 11, 65, 10, 69

11 → J; 65 → P; 10 → G; 69 → Q (So, the word formed is 'JPGQ')

Hence, the correct answer is "32, 57, 55, 97".

Calculation:

The smallest 8 digit number = 1,00,00,000

If we add 45 in 76 the number become divisible by 121. So, the smallest 8 digit number which exactly divisible by 121 = 1,00,00,000 + 45 = 1,00,00,045

∴ The correct answer is 1,00,00,045.

Calculation:

In this type question we divide the remainder by the same number (which is asked in the question)

∵ Remainder = 27 and the number = 13

So, remainder is 1

∴ The correct answer is 1.

Calculation:

⇒ $\frac{{6√ 2 }}{{5√ 3 }}~$ × ( √2 + √18 )

$\Rightarrow \frac{{6√ 2 }}{{5√ 3 }}$ ×( √2 + 3√2 )

$\Rightarrow \frac{{6√ 2 }}{{5√ 3 }}$ × 4√2 

⇒ 48/(5√3)

⇒ (16√3)/5

∴ The correct answer is (16√3/5).

Calculation:

$\left( {\sqrt[4]{{{y^8}}}} \right) = 225$

$\Rightarrow {y^{\frac{8}{4}}} = 15 \times 15$

⇒ y² = 15²

⇒ y = 15

∴ Option 3 is the correct answer.

Given:

In-radius of equilateral triangle = 8 cm

Calculation:

Ratio of in-radius to circum-radius in equilateral triangle = 1 : 2

Let in radius of the equilateral triangle is x. So, circum-radius of the equilateral triangle is 2x.

Given that,

The in radius of the equilateral triangle is 8 cm

⇒ x = 8

Circum-radius of the equilateral triangle =  2x = 2 × 8 = 16 cm

∴ The correct answer is 16 cm.

Calculation:

In ∆ABC,

∠C = 180° – ∠B - ∠A = 180° (- 30° – 90°) = 60°

Now, ∠DCA + ∠ACB = 180°

⇒ ∠DCA + 60° = 180°

⇒ ∠DCA = 180 – 60 = 120°

In ∆ACD,

∠ACD + ∠CDA + ∠DAC = 180°

⇒ 120 + ∠CDA + 30 = 180

⇒ ∠CDA = 180 – 150

⇒ ∠CDA = 30°

In ∆ACD, ∠CDA = ∠DAC

So, ∆ACD isosceles triangle.

AC = CD

∴ The correct option is 2.

Calculation:

The value of 53% of 7400 = 7400 × 53/100 = 3922

∴ The correct answer is 3922.

Given:

Total amount = Rs.9000

P : Q : R =  5 : 6 : 7

Calculation:

Ratio of P, Q and R = 5 : 6 : 7

Total amount which divided = 9000

The share of R = 9000 × 7/18 = Rs.3500

∴ The correct answer is Rs.3500.

Given:

Total weight = 50 kg

Calculation:

Quantity of gravel in 50 kg mixture = 50 × 10/100 = 5kg

Let the quantity of gravel which added be = x kg

According to the question

⇒ (5 + x) / (50 + x) = 28%

⇒ (5 + x) / (50 + x) = 28/100

⇒ (5 + x) / (50 + x) = 7/25

⇒ x = 12.5

12.5 kg of gravel must be added to make the gravel content 28% in the new mixture.

∴ The correct answer is 12.5 kg.

Alternate MethodCalculation:

Now,

Cement quantity must be same

Gravel : Cement = (1 : 9) × 2 = 2 : 18

So, (2 + 18) = 20 units = 50 kg

⇒ 1 unit = 5/2

⇒ (7-2) = 5 unit = (5/2) × 5 = 25/2 = 12.5 kg

∴ The correct answer is 12.5 kg.

Given:

Average of 7 numbers = 30

Average of first 3 numbers = 25

Average of last 3 numbers = 35

Calculation:

Average of 7 numbers = 30

So, Sum of 7 numbers = 30 × 7 = 210

Average of first 3 numbers = 25

So, the sum of first 3 numbers = 25 × 3 = 75

Average of last 3 numbers = 35

So, the sum of the last 3 numbers = 35 × 3 = 105

Fourth number =  Sum of 7 numbers - (sum of first 3 numbers + sum of the last 3 numbers)

⇒ 210 – (105 + 75) = 210 – 180 = 30

∴ The correct answer is 30

Given:

Total sum = Rs.10,000; Time = 1 year; Rate = 10 %

Calculation:

If interest is compounded half-yearly, then

Rate of interest (r) = 10/2 = 5% and time (t) = 1 × 2 = 2

Total CI percentage in 1 years = 5 + 5 + (5 × 5)/100

⇒ 10 + 0.25 = 10.25%

Required interest = 10,000 × 10.25/100 = 1025

∴ The correct answer is Rs.1025.

Given:

C.P of first laptop = Rs.42500

C.P of second laptop = Rs.36200

Calculation:

CP of first laptop = 42500

Thus, SP of first laptop = 42500 × 112/100 = 47600

CP of second laptop = 36200

Thus, SP of second laptop = 36200 × 88/100 = 31856

Total CP of first and second laptop = 42500 + 36200 = 78700

And total SP of first and second laptop = 47600 + 31856 = 79456

Profit = Total SP – Total CP = 79456 – 78700 = 756

∴ The correct answer is Rs.756.

Calculation:

Let MP of first article = x

And MP of other article = y

Then, according to the question,

x × 45% = y × 65%

⇒ x/y = 65/45

⇒ x : y = 13 : 9

Respective ratio of the marked price of both the articles = 13 : 9

∴ The correct answer is 13 : 9.

Calculation:

⇒ $\sqrt[3]{{729}}$  × √16 + √676 + √169

⇒ 9 × 4 + 26 + 13

⇒ 36 + 26 + 13

⇒ 75

∴ The correct answer is 75.

Given:

P and Q together can make a door = 12 days.

Calculation:

Let total work = 1

Work done by (P + Q) in 1 day = 1/12

Work done by (P + Q) in 8 days = 8/12

Remaining work = 1 – 8/12 = 1/3

And 1/3^rd part of work complete by Q = 7 days

So, whole work complete by Q = 7 × 3 = 21 days

P can alone complete the entire work = 1/[1/12 – 1/21] = 1/1/28 = 28 days

∴ The correct answer is 28 days.

Shortcut TrickConcept used:

Efficiency × time = total work

Calculation:

Total work = (P + Q) × 12

According to the question:

⇒ (P + Q) × 8 + Q × 7 = (P + Q) × 12

⇒ Q × 7 = (P + Q) × 4

⇒ Q × 3 = P × 4

⇒ P/Q = 3//4

Now, total work =  (P + Q) × 12

⇒ (3 + 4) × 12 = 7 × 12 = 84

P alone complete the entire work = 84/3 = 28 days

∴ The correct answer is 28 days.

Given:

Speed of train A = 40 km/hr

Speed of train B = 60 km/hr

Calculation: 

Let train A with 40 km/hr speed starts from point P, moving towards point Q

And train B with 60 km/hr speed stars from point Q, moving towards point P.

Time taken by train A to reach at point R = 5 hr

And time taken by train B to reach at point R = 4 hr

Distance covered by train A to reach at point R = 5 × 40 = 200

And distance covered by train B to reach at point R = 4 × 60 = 240

Thus, PR = 200 km & QR = 240 km

PR : QR = 200 : 240 = 5 : 6

∴ The correct answer is 5 : 6.

Calculation:

Total sales = A + B + C + D + E + F + G = (390 + 280 + 70 + 100 + 160 + 140 + 460) × 1000 = 16,00,000

Tax on total sales = 16,00,000 × 10/100 = 160,000

∴ The correct answer is 160,000.

Calculation:

Sales of brand E = 160

& Sales of brand D = 100

Sales of E greater than that of brand D by = (160 – 100)/(100 )

⇒ 60/100 = 0.6

∴ The correct answer is 0.6.

Calculation:

Sales of brand B = 280

Sales of brand C = 70

Ratio of sales of brand B to that of brand of C = B : C = 280 : 70 = 4 : 1

∴ The correct answer is 4 : 1

Calculation:

Sales of mobile phone brand A were the second highest = Rs.390000

∴ The correct answer is Rs.390000.

Given:

Diagonal of rectangle = 13 cm

Side of rectangle = 5 cm

Calculation:

AC = 13 cm & BC = 5 cm

In right triangle ABC

By Pythagoras Theorem:

⇒ (AC) ² = (AB)² + (BC)²

⇒ (13) ² = (AB) ² + 5²

⇒ AB = 12

So, Length of the rectangle (l) =12

And the breadth of the rectangle (b) = 5

Perimeter of the rectangle = 2 (l + b)

⇒ 2 × (12 + 5) = 2 × 17 = 34 cm 

∴ The correct answer is 34 cm.

Given:

Perimeter of a semicircle = 108 cm

Calculation:

Perimeter of semicircle = πr + 2r

⇒ 108 = πr + 2r

⇒ 108 = (22/7 + 2) × r

⇒ 108 = 36/7 × r

⇒ r = 21 cm

Area of circle = πr² = 22/7 × 21 × 21 = 1386 cm²

∴ The correct answer is 1386 cm2.

Given:

Surface area of sphere = 2464 cm2

Formula used:

Surface area of sphere = 4πr2

Calculation:

Surface area of sphere = 2464

⇒ 4 × 22/7 × r² = 2464

⇒ r2 = 196

⇒ r = 14

Diameter of the sphere = 14 × 2 = 28 cm

∴ The correct answer is 28 cm.

Calculation:

⇒ cot 60° + 1/√3

⇒ 1/√3 + 1/√3 = 2/√3

∴ The correct answer is  2/√3.

Shortcut Trick

In a right-angled triangle ΔPQR (at Q), angles P and R are complementary.

By trigonometric property: sin R = cos P.

Given sec P = 13/5, we know that cos P = 1/sec P.

⇒ cos P = 5/13.

⇒ sin R = 5/13.

∴ The correct answer is 5/13.

Alternate Method

Given: ΔPQR is right-angled at Q, and sec P = 13/5.

Formula Used: sec θ = Hypotenuse / Base and sin θ = Perpendicular / Hypotenuse.

⇒ For angle P: Hypotenuse (PR) = 13 and Base (PQ) = 5.

⇒ Using Pythagoras Theorem: QR = √(PR² − PQ²)

⇒ QR = √(13² − 5²) = √(169 − 25) = √144 = 12.

⇒ For angle R: The opposite side (Perpendicular) is PQ and the Hypotenuse is PR.

⇒ sin R = Opposite / Hypotenuse = PQ / PR.

⇒ sin R = 5/13.

∴ The correct answer is 5/13.

Additional Information

Complementary Angle Relations

In a right-angled triangle, if A + B = 90°, then sin A = cos B, tan A = cot B, and sec A = cosec B.

Pythagorean Triplets

Common integer sets that satisfy a² + b² = c² include (3, 4, 5), (5, 12, 13), (8, 15, 17), and (7, 24, 25).

Reciprocal Identities

sec θ = 1/cos θ, cosec θ = 1/sin θ, and cot θ = 1/tan θ.

The ‘debenture’ is derived from the Latin word ‘debere’ which means ‘to owe’.

• It is a written instrument that acknowledges a loan to the company and is executed under the company’s common seal.
• It contains a contract for the principal amount to be repaid after a specified period or at intervals and for payment of interest at a fixed rate which is usually paid either half-yearly or yearly on fixed dates.
• A person having the debentures is called debenture holder. They are the persons or firms who purchase the debentures of other company. They are not concerned with the management and regulation of the company.
• Debentures are usually secured and carry a charge on the assets of the company, hence, debenture holders are the secured creditors of the company.

Currency notes and coins of one rupee and lower denominations are issued by the Ministry of Finance.

• Under the Coinage Act, 1906, the Government of India has the sole right to mint coins.
• According to the Section 24(1) of the RBI Act, 1934, RBI is not entitled to issue banknote of denomination of value of one rupee.
• Also, ‘I promise to pay the bearer’ is not written on the one rupee note.
• The currency note of one rupee is issued by the Ministry of Finance and signed by the Finance Secretary of India.

Of the following, Ganeshwar is not the place of Middle Stone Age.

• The site of Ganeshwar is located close to the copper mines of Sikar-Jhunjhunu copper belt of Rajasthan.
• There were many copper objects excavated from the area that included spearhead, arrowhead, chisel, bangles, and many microliths that were characteristic of the Chalcolithic Culture.
• People of Chalcolithic age used objects made of stone and copper.
• Ganeshwar predate the mature Harappan Culture.

The title of the Persian translation of the Mahabharata is Razmanama.

• In Persian, ‘Razm’ means ‘war’, and ‘nama’ means ‘tale’. So, Razmnama means ‘tale of war’.
• Great Mughal Emperor, Jalal Ud-din Muhammad Akbar, commissioned the Mahabharata to be translated into Persian. The translation was carried out by Faizi (brother of Abu’lFazl) and Abd al-Qadir Bada’uni (1540 – 1615).

Uranus is the planet which moves in the opposite direction than other planets in the Solar System.

• Not only Uranus but Venus too has a retrograde rotation, i.e. they spin counter to the rotation of the Sun.
• The rotation in the same direction as the Sun rotates is termed as prograde rotation.

As per the structure and origin, the Highlands of Meghalaya is part of ArakanYoma Mountain.

• The Arakan Mountains, also known as Arakan Range, Rakhine Range, Rakhine Yoma, ArakanYoma, is the range of mountains in western Burma (Myanmar), between the coast of Rakhine State and the Central Burma Basin.

The correct answer is Vardhman:

Key Points

• Lord Mahavira's name prior to acquiring the Knowledge was Vardhman.
• Vardhamana Mahavira (540 to 468 BC), a great Kshatriya, was born at Kundalgram (Vaishali), in Bihar.
• At the age of 42, he attained perfect knowledge, Kaivalya.
• He is regarded as the 24^thTirthankara or prophet of Jainism.

Additional Information

• At the age of 42, under a sal tree at Jambhikagrama on the bank of river Rijupalika, Mahavira attained Kaivalya (supreme knowledge).
• From now onwards he was called Kevalin (perfect learned), Jina (one who conquered his senses), Nrigrantha (free from all bonds), Arhant (blessed one) and Mahavira (the brave) and his followers were named Jain.
• He delivered his first sermon at Pava to his 11 disciples (known as Gandharvas). Later, hee founded a Jain Sangha at Pava.
• At the age of 72 in 468 BC, he passed away at Pavapuri near Biharsharif in Bihar. Sudharma only one of 11 Gandharvas who survived after the death of Mahavira.

Under the Indus Water Treaty, India has not been given the exclusive right over the river Jhelum.

• The Indus Waters Treaty was signed by the then Prime Minister of India Jawaharlal Nehru and Pakistan's President Ayub Khan on 19 September 1960.
• The treaty deals with the river Indus and its tributaries that flow in both the countries and how it will be utilized.
• The deal is classified into two categories, the Eastern Rivers,and the Western rivers. The Eastern Rivers include Sutlej, Beas, and Ravi, while the Western Rivers include Jhelum, Chenab, and Indus.

• As per the Treaty, the Eastern Rivers are to be governed by India, while the Western rivers are to be taken care by Pakistan.
• As Indus flows from India, 20% of its water is allowed to be used by the country for power generation, irrigation, and transport purposes.

The 2018 Padma Bhushan Award in the field of Art-Music was awarded to Sharda Sinha.

• Ms Sharda Sinha is a folk-singer from Bihar.
• She is best known for her Chhath Puja themed songs.
• Ms Sinha, who is already a Padma Shri recipient, received Padma Bhushan on the eve of Republic day, 2018.
• Padma Bhushan, the third highest civilian award in the Republic of India, is awarded for distinguished service of high order.
• It is preceded by the Bharat Ratna and the Padma Vibhushan and followed by the Padma Shri.

There are two background colors in Bhutan’s national flag.

• The background colors of the flag are yellow and orange with a black and white dragon called the Druk (the Thunder Dragon) holding four jewels, or Norbu, in its claws.
• Bhutan is located in the Eastern Himalayas. It is landlocked between Sikkim (India) and the Chumbi Valley of Tibet in the west, the ArunachalPradesh (India) in the east, the Tibet Autonomous Region of China in the north, the states of Assam and West Bengal(India) in the south.
• The capital of Bhutan is Thimpu.

• Polyester is synthetic fibre, made up of repeating units of esters (chemical).
• Teflon is a special type of plastic on which water, and oil do not stick.
• Rayon or artificial silk is obtained from wood pulp.
• Nylon, a synthetic fibre, is prepared from coal, water, and air. The fibre is strong, elastic, and light.

Out of the following fuels, Petrol has the maximum calorific value.

• We know that heat is produced when fuels are burnt. The amount of heat produced by burning or combustion of 1Kg of fuel is expressed in terms of calorific value.
• It is also known as energy value or heat of combustion.
• It is measured in units of energy per amount of material, e.g. KJ/g or kJ/kg, where KJ is Kilo Joules.
• Calorific Value of given fuels are as follows:

Election Commission is not concerned with Elections of Panchayats.

Key Points

• According to Article 324 of the Constitution of India, the Election Commission is concerned only with the superintendence, direction and control of the preparation and conduct of all elections to Parliament and to the legislature of every State, offices of the President and the Vice-President.
• Article 243 K and Article 243 ZA provides for a separate State Election Commission for the purpose of conducting elections to the Panchayats and Municipalities in the State.

Attorney General of India is appointed by the President of India.

• Attorney General of India is the Indian government’s chief legal advisor and its primary lawyer in the Supreme Court of India.
• Under Article 76 (1), The President of India shall appoint a person who is qualified to be appointed a Judge of the Supreme Court to be Attorney General for India.

The correct answer is Only Meristematic tissue.

Key Points

• Meristematic tissue is also known as growing tissue.
• Meristematic tissues are responsible for the growth of the plant.
• They consist of immature cells which have the power to divide.
• On the basis of their position in the plant, meristems are apical, lateral & intercalary.

Meristematic tissue:

• Growing regions of the plants are called Meristem.
• Meristematic tissue has the capability of cell division.
• It is round, oval, and multisided.
• It grows and constitutes the different parts of the plant.

There are three types of meristematic tissues-

• Apical meristem- these are located at the shoot tips and root tips.
• Intercalary meristem- located between permanent tissues, at the leaf base and nodes.
• Lateral meristem- located at the sides(edges).​

• Charles Robert Darwin,in his book “The Origin of Species”, gave the Theory of Evolution by Natural Selection.
• Gregor Johann Mendel, also known as the father of genetics, gave the Law of Inheritance.
• The theory of origin of life on earth proposed by Haldane was confirmed by the experiments conducted by Stanley L. Miller and Harold C. Urey in 1953.

Dr. Harsh Vardhan launched the ‘National Biopharma mission’ named ‘i3’ in June 2017.

• Under the National Biopharma Mission, the government launched a programme named Innovate in India (i3). It aims to create an enabling ecosystem, in order to promote entrepreneurship and indigenous manufacturing in the sector.
• In the global biopharmaceutical market, currently India has only 2.8% share, the program, however, aims at elevating this to 5% .
• i3 is a flagship program of the Government of India in collaboration with World Bank.
• Biotechnology Industry Research Assistance Council (BIRAC) will implement the mission.

California - based private spaceflight company SpaceX has launched secret Zuma mission for United States government.

• Zuma has been manufactured by Northrup Grumman.
• SpaceX (Space Exploration Technologies Corporation) is an aerospace manufacturer and space transport services company. Its headquarter is in California, U.S.

In December 2017, SEBI tightened rating agency norms. The net worth requirement for rating agencieshas now been increased from Rs 5 crore to Rs. 25 crore.

• It imposed a 10 per cent cap on cross-shareholding of credit rating agencies, raised their net worth criteria to Rs. 25 crore from the current ₹5 crore and disallowed any seat on the rival’s board.
• Moody’s, S&P, and Fitch are the three of world’s largest Credit Rating agency.
• Securities and Exchange Board of India (SEBI) was established in 1988. It got its statutory mandate and powers under the SEBI Act, 1992.

Agriculture Ministry Unveiled Model APMC Act. The new Act proposes to put a Cap on Mandi taxes at 8 (in percent) for food grain.

• Its aim is to give more freedom to farmers to sell their produce and ensuring that the farmers are not exploited by intermediaries
• Farmers are required to sell their produce via auction at the mandi in their region.

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Pressure = $\frac{{{\rm{Force;}}\left( {{\rm{in;Newton}}} \right)}}{{{\rm{Area;}}\left( {{\rm{in;}}{{\rm{m}}^2}} \right)}} = \frac{{600}}{{24}}$ = 25 Pascal

The ratio of change in velocity of a body to the total time taken by it is its acceleration.

• Acceleration, a = $\frac{{{\rm{Change;in;velocity}}}}{{{\rm{Time;Taken}}}}$
• Acceleration of a body is defined as the rate of change of its velocity.
• It is a vector quantity and its S.I. Unit is ms^-2.
• Velocity of a body is the displacement undergone by the body per unit time.

The greater the difference in pressure, the faster the air moves.

• Air moves from high pressure towards low pressure.
• The air in the lower atmosphere is denser than the air lying above.
• Therefore, air pressure below is more than above.