SSC CGL English (Tier II) Mock Test - 4 - SSC CGL MCQ

Given:

In ΔABC, D is a point on BC such that the line joining AD bisects ∠A.

BD = 4 cm

BC = 10 cm

According to the question, the required figure is:

As per the above figure,

BC = BD + DC

⇒ 10 = 4 + DC

⇒ DC = 6 cm

As we know,

The angle bisector of an angle of a triangle divides the opposite side into two parts, which are proportional to the other two sides of the triangle.

The required ratio of AB and AC is 2 : 3.

Given,
Mean of 60 observation = 66
Error = 24 was wrongly taken as 42.

Total sum of 60 observations
= 3960
Correct sum of 60 observations 
= 3942
The correct mean   
= 65.7
∴ The correct mean is 65.7.

Given, Chords AB = 8 cm and CD = 6 cm
Then, AE = EB = 4 cm and CF = FD = 3 cm
EF = 1 cm
Let OE = x cm
Then, OF = (x + 1) cm
OA = OC = r cm  (∵ radius)
From ΔOAE, By pythagoras theorem
OA² = AE² + OE²
⇒  r² = 4² + x²
⇒  x² = r² – 16  ...(i)
From ΔOCF, By pythagoras theorem
OC² = CF² + OF²
r² = 3² + (x + 1)²
(x + 1)² = r² – 9 ...(ii)
By equation (ii) – (i),
(x + 1)² – x² = r² – 9 – r² + 16
⇒  x² + 1 + 2x – x² = 7
⇒  2x = 7 – 1 = 6
⇒  x = 3 cm
∴  From equation (i),
9 = r² – 16
⇒  r² = 25
⇒  r = 5 cm

The total numbers of discs = 90

Total number of discs having two digit numbers  = 81

(Since 1 to 9 are single digit numbers and so, total 2 digit numbers are 90 - 9 = 81)
P (bearing a two-digit number)  = 81/90 = 9/10 = 0.9

S.D.

This is the required angle between the tangents.

From the figure, it is evident that .

Now, and (radii is perpendicular to tangent at point of contact)

Also, sum of interior angles of a quadrilateral is and hence,

= 2

Given:
mnx - 10mn - 30mx - 45nx + 300m + 450n + 1350x - 13500 = 0
⇒ mn (x - 10) - 30m (x - 10) - 45n (x - 10) + 1350 (x - 10) = 0
⇒ (x - 10) (mn - 30m - 45n + 1350) = 0
⇒ (x - 10) {n (m - 45) - 30 (m - 45)} = 0
⇒ (x - 10) (n - 30) (m - 45) = 0
Therefore, x = 10, m = 45 and n = 30
'a', 'n' and '50' are in GP.
Therefore,

⇒ a = 18
m = yc²
⇒ 45 = 1 × 45 or 5 × 9
'm', 'y' are distinct natural numbers so, y = 5 and c² = 9
a = bc²

Putting all the values in a table we get,

For alloy Q : Let the ratio of Zn : C : L = 30x : 10x : Lx
The difference between the quantity of Copper and Lead in alloy 'Q' is 270 gm.
Therefore, 10x - Lx = 270 ...(a)
The difference between the quantity of Zinc and Copper in alloy 'Q' is 600 gm.
Therefore, 30x - 10x = 600
⇒ 20x = 600
⇒ x= 30
Putting this value of x in equation (a) we get

⇒ L = 1
The quantity of Lead in alloy 'Q' = Lx = 30 gm
So, the correct answer is 30 gm.

Given:

Side of rhombus (Diagonal)

As we know,

Diagonals of rhombus bisect each other at .

Area of rhombus

Where and are diagonals of the rhombus.

Let the length of other diagonal be .

As, diagonals of rhombus bisect each other at .

In

Area of rhombus

Area of rhombus is 

Let the number of students in the class be .

Now, each of the students has contributed to paise.

So, the total collection paise.

Given,

Collection Rs. paise

According to the question,

Thus, the number of students in the class is 80.

Total expenditure on Taxes:

= 85 + 110 + 75 + 78 + 88

= 436 Lakhs

Now Total expenditure on Fuel & Transport:

= 100 + 112 + 105 + 135 + 152

= 604 Lakhs

Now the required ratio:

= 436 : 604

= 109 : 151 (on dividing by 4)

The statement suggests that technology has made us reach a situation where we move less.
From what is supplied we cannot conclude that technology is capable of making us immobile. Moving less is by choice. Therefore, conclusion I does not follow.
But from the statement, we can deduce that technology has reduced/limited our physical activity. Therefore, conclusion II follows.
So, Only conclusion II is true.

The logic followed here is:

So, the series is .

The logic followed is:

i) The outer small figure is moving inside the bigger figure.

ii) The figure which has moved inside the bigger figure is getting shaded.

Thus triangle will move inside the pentagon. The moved triangle will now become shaded.

Therefore only 1 image satisfying the given pattern is option (A).

Complete series:

The pattern is:

9 # 3 % 9 = 81 → 9³ ÷ 9 = 81

4 # 3 % 8 = 8 → 4³ ÷ 8 = 8

From here we get ‘#’ means the number immediately followed ‘#’ is power of previous number and ‘%’ means ‘÷’

Similarly,

5 # 5 % 625 = ? → 5⁵ ÷ 625 = 5

Therefore, ‘5’ is the correct answer.

On close obeservation, we find that the option (C) will complete the pattern when placed in the blank space of question figure as shown below:

This sentence is in the future indefinite tense as it mentions the action which is to take place in future.  

"Would" is the past of "will". It is generally used to denote past routine action or when we talk about future action in the past. 

E.g., Rani told me she would give you notes.

We use future perfect tense for time expression. As, in the sentence, there is no time expression, we will not use "will have heard". 

The correct sentence: "I will hear her speak on Friday night about the advantages of organic farming."

According to the third paragraph of the passage, the weaver bird's nest is a marvel of architectural beauty because its hanging nest contains chambers, doorways and corridors.

The weaver bird constructs a nest of interlaced fibres and fronds, its hanging palace containing chambers, doorways and corridors. 

According to the first passage of the paragraph, the author underlines the importance of home because a home provides a sheltering base for our families enabling us to grow towards new possibilities.

It is mentioned in the passage, 'He is not only the subject of needs but is also their creator. Man who is believed to have evolved from apes is a curious mixture of varied motives.'

This means options (A), (B) and (C) are correct as per the passage.

So, the statement 'Man desires to have more and more comforts and money.' is incorrect as per the passage.

According to these lines of the passage, 'He is eager to satisfy his passion for more and more knowledge.' statement III is true.

According to these lines of the passage, 'The real purpose underlying this maxim lies in its utility in the worldly sense. It tells us to be up and doing, not to be passive in our attitude to life. Every new difficulty, every new problem, which confronts us in life, can be tackled successfully with the spirit of inventiveness.' statements I and II are incorrect. 

Raining cats and dogs: very heavily raining.

For example:

• It’s raining cats and dogs I am worried about how my kids will reach home.
• It rains cats and dogs when the Monsoon comes to India.

​​​From the above lines, we can say that Very heavy rain is the correct meaning of the given idiom.

A hundred-year-old man is Centenarian.

Centenarian: A centenarian is a person who has reached the age of 100 years.

In February-March 2023, West Bengal is in the grip of an unprecedented adenovirus outbreak. Adenoviruses are medium-sized, non-enveloped (without an outer lipid bilayer) viruses with an icosahedral nucleocapsid containing a double-stranded DNA genome.

The Border Guarding Force at Indo-China Border is known as Indo-Tibetan Border Police Force (ITBP).

The Indo-Tibetan Border Police (ITBP) is India's primary border patrol organization for its border with Tibet Autonomous Region. It is one of the five Central Armed Police Forces of India, raised on 24 October 1962, under the CRPF Act, in the wake of the Sino-Indian War of 1962.

Viswanathan Anand, the former world chess champion from India, clinched the 2024 Leon Masters Chess Championship for an unprecedented 10th time by defeating Jaime Santos Latasa in the final with a score of 3-1. Anand's consistent performance throughout the years underscores his mastery and enduring success in the world of chess.

Each computer connected to the Internet must have a unique IP address

The full form of IP is an Internet protocol.

Each machine has its own unique IP address that differentiates its identification from the others.

An IP is allocated to the main Apache server whenever users attempt to connect a hosting device to a domain subdomain.

The IP address is linked with all other websites.

At moments, it’s the only option you need while browsing the internet.

Limit is 280 characters, the most common length of a tweet is 33 characters. Historically, only 9% of tweets hit Twitter's 140-character limit, now it's 1%. That said, Twitter did see some impact from the doubling of character count in terms of how people write.

OSI stands for Open Systems Interconnection.

• The OSI Model is a conceptual framework used to describe the functions of a networking system.
• The OSI model characterizes computing functions into a universal set of rules and requirements.
• It has been developed by ISO that is the International Organization of Standardization.
• This model was developed in 1984.
• OSI consists of seven layers, and each layer performs a particular network function.

The file format used by MS-Paint to open and save a file is .JPEG. 

• Microsoft Paint is a simple graphics editor that has been included with all versions of Microsoft Windows.  
• JPEG stands for Joint Photographic Experts Group. 
• It is the most commonly used format of photos. 
• Other formats are PNG (Portable Network Graphics), GIF (Graphics Interchange Format), TIFF (Tagged Image File), PSD (Photoshop Document), etc.