MAT Mock Test - 8 - MAT MCQ

The answer can be found in these lines of the first paragraph- 'Their protest march coincided with the G20 summit in Argentina. The summit showed no consensus on climate change, proving the point the children in Australia had made — that political leaders are not serious about the environmental crisis.'

Thus, it can be concluded that the children realized that their leaders were not serious about the environmental crisis when they noticed that the G20 summit showed no consensus on climate change.

The answer can be found in the last lines of the first paragraph: 'They were conveying the feeling that natural catastrophe would make academic attainment meaningless.'

Thus, it can be concluded that the children through their protest march wanted to convey the feeling that natural catastrophe would make academic attainment meaningless.

All the given statements are true.

The answer to the question can be found in these lines of the 2nd paragraph: 'Leaders like him see climate change as an irritating discourse. They think it has no substance or truth. Moreover, they feel it confuses and distracts the public. These leaders believe that no goal should override high industrial and economic growth.'

Discretion means 'the freedom to decide what should be done in a particular situation'.

Constraint means 'a limitation or restriction'.

Thus the antonym of the word discretion is the constraint.

We can see in the second paragraph, the third sentence, it is mentioned: "The second wave of the virus is expected to turn the wedding industry even leaner". Over one crore people associated with the industry, directly or indirectly, are estimated to have lost their jobs owing to the pandemic. As the wedding industry clutches on to e-invitations and Zoom meets for survival, allied services and personnel, such as printing establishments and artisans who work in the ateliers of fashion designers, are enduring losses.

Number of days in y non-leap years, y weeks and y days (N) is the sum of number of days in y non leap-years, in y weeks and in y days.

N = (365 × y) + (7 × y) + (y)
N = 365y + 7y + y
N = 373y

Only assumption I is implicit

Since the statement talks of putting the child in school at the age of 5, it means that the child is mentally prepared for the same at this age. So, I is implicit. But nothing about admission after 6 years of age is mentioned in the statement. So, II is not implicit.

Rainfall in Tamil Nadu is caused by the retreating monsoons which occur in winter.

1) Only two persons are heavier than Ajay and he is one place below in the height column.

2) Billi is taller than David only.

3) David is heavier than at least three people but definitely lighter than Billi and has the same position in the weight row as Frodo has in the height row.

4) There is a difference of four positions between the positions of Elina in both columns.

5) Frodo is lighter than at least four.

So, Two people lighter than Chandan.

Given,

Number of players in the team = 48

Number of players who selected for all three matches = 3

Number of players who selected only for Test match and ODI = 8 – 3 = 5

Number of players who selected only for ODI and T20 = 5 – 3 = 2

Number of players who selected only for T20 and Test match = 7 – 3 = 4

Number of players who selected only for two matches = 5 + 2 + 4 = 11

Number of players who selected only for Test match = 22 – 3 – 4 – 5 = 10

Number of players who selected only for ODI match = 18 – 3 – 2 – 5 = 8

Number of players who selected only for T20 match = 18 – 3 – 2 – 4 = 9

Number of players who selected for at least one match = 5 + 2 + 4 + 10 + 8 + 9 + 3 = 41

Required percentage 

Given that:

Number of players in the team = 48

Number of players who selected for all three matches = 3

Number of players who selected only for Test match and ODI = 8 – 3 = 5

Number of players who selected only for ODI and T20 = 5 – 3 = 2

Number of players who selected only for T20 and Test match = 7 – 3 = 4

Number of players who selected only for Test match = 22 – 3 – 4 – 5 = 10

Number of players who selected only for ODI match = 18 – 3 – 2 – 5 = 8

Number of players who selected only for T20 match = 18 – 3 – 2 – 4 = 9

Number of players who selected for at least one match = 3 + 5 + 2 + 4 + 10 + 8 + 9 = 41

Quantity of Himsagar sold in May 2017 = 250  kg

Quantity of Himsagar sold in May 2018 = 225 kg

∴ Percentage decrease in sales

= 10%

Number of men working on company C 

Number of men working on company D 

Number of men working on company F

Total number of men working in company C, D and F together = 2340 + 1440 + 1400 = 5180 

Required average

Total number of males visited in the month of June 

Total number of females visited in the month of June 

Required number of males & females = 440 + 720 = 1160

Quantity A:

Given:

Let the speed of boat in upstream =x

then speed of boat in downstream = 2x

speed of boat in still water = b

speed of stream = s

The difference between the speed of boat in still water and speed of stream = 8 km/hr

According to the question:

⇒

By applying Componendo and dividendo

⇒

⇒

So, b – s = 2 unit

As we know, b – s = 8 km/hr

⇒ 2 unit = 8 km/hr

⇒ 1 unit = 4 km/hr

∴ Speed of stream, s = 4 km/hr

Quantity B:

Speed of man = 10/9 m/s

⇒ m/s = × km/hr

⇒ 10/9 m/s = 4 km/hr

∴ Quantity A = Quantity B

Quantity I:

X’s share = Rs. = Rs. 2800

Y’s share = Rs.  = Rs. 4200

Thrice the share of X = Rs. 8400

Difference between thrice the share of X and the share of Y = Rs. 8400 - Rs. 4200

= Rs. 4200

Quantity II:

Let the Q's share be Rs. x,

P's share + Q's share + R's share + S's share = 1, 25, 000

⇒ 5 x = 3 , 00 , 000
⇒ x = 60 , 000

∴ Quantity I < Quantity II

From I:
Let cost price of mobile be Rs. A.
Then, marked price = Rs 1.6A
Selling price after 25% discount = 160 x 75/100 = 1.2A
Profit = 20%
If no discount is offered then marked price be selling price.
Then,
(1.6A – 1.2A) = 1920
⇒ 0.4A = 1920
A = 1920/0.4 = 4800
Thus, required selling price for 15% profit = 4800 × 1.15 = 5520
So, statement I alone is sufficient.
From II:
We have:
Let cost price of bed be Q.
Then, marked price = 1.75Q
Equivalent discount for 2 sufficient discount = 20 + 20 - (20 x 20/100) = 36%
So, selling price = 64% of marked price
= 0.64 × 1.75 = 1.12Q
Selling price of dealer is same as cost price of simmu.
Then,
Selling price of simmu with 25% profit = 1.12Q x 125/100 = 6720
Q = 4800
Thus, required selling price from 15% profit = Rs 5520
So, statement II alone sufficient.
From III:
We have:
Let cost price of bed be R.
Then, marked price = 1.75R
Selling price for discount of 25% = 1.75R x 75/100 = 1.3125R
For 2 successive discount of 25% and 20%;
Equivalent discount = 25 + 20 - (25 x 20/100) = 40%
Selling price for discount of 40% = 1.75R x 60/100 = 1.05R
Then,
(1.3125R – 1.05R) = 1260
⇒ R = 4800
Thus, required selling price for 15% profit = Rs 5520
So, statement III alone sufficient.
Thus, All I, II and III are sufficient to answer the question.

Given,

A can do work in 10 days.

A's 1 day's work

B can do work in 15 days.

B's 1 day's work

(A + B)'s 1 day's work

Together they can complete work in 6 days.

Given: sin α + cos α = p

By squaring both the sides, we get

⇒ sin² α + cos² α + 2 sin α cos α = p²

As we know that, sin² x + cos² x = 1 and sin 2x = 2 sin x cos x

⇒ 1 + sin 2α = p² ⇒ sin 2α = p² – 1

⇒ cos² 2α = 1 – sin² 2α = 1 – (p² – 1)²

⇒ cos² 2α = p² (2 – p²)

and

Given:
△ ABC is in a semicircle where AB is a diameter.

An angle on semicircle = 90°
∠C = 90°
In a triangle, the sum of three angles is 180°
∠A + ∠B + ∠C = 180°
⇒ ∠ A + ∠B + 90° = 180°
⇒ ∠A + ∠B = 180° − 90° = 90°
Now, cos ⁡ (A + B) + sin ⁡ (A + B)
⇒ cos ⁡ 90° + sin ⁡ 90° = 1
∴ The value of cos ⁡ (A + B) + sin ⁡(A + B) is 1.

Given:

X can do a piece of work in = 30 days,

X leaves after working for = 3 days,

Y finished the remaining work in = 18 days,

Calculation:

X' s 1 day's work = 1/30

X 's 3 day's work = 3/30

⇒ 1/10

∴ remaining work

⇒ 9/10

Now, 9/10 work is done in 18 days

∴ 1 piece of work is done by Y in

⇒ 10 x 2

⇒ 20 days

∴ Y can complete the piece of work alone in 20 days.

The Earth's atmosphere is like a blanket of air and consists of different gases like Nitrogen-78 %, Oxygen-21 %, Argon-0.93 %, Carbon dioxide-0.04 %.

Earth's atmosphere is composed of six layers and the mesosphere is one such layer-

• Mesosphere: This layer lies above the stratosphere and below the thermosphere and extends from 50 to 80 km above the earth's surface.
  • It is the middle layer of the atmosphere. Because of thin air, you would not breathe easily in this layer. 
  • Most of the meteors and rock are burned up in these layers before reaching the earth. 
  • This layer has more gases than the above layers i.e. exosphere and thermosphere which causes more friction and heat to burn up meteors.

From the above-mentioned points, it becomes clear that on entering the Mesosphere layer of the atmosphere from space do the meteorites burn up.

Wool is a polymer which is made up of protein. Wool is extracted from sheep. Rubber, cotton, and Jute do not make up of protein.

The Tibetan Spiritual leader, his holiness Dalai Lama, has launched his new book 'The Little Book of Encouragement.

Importance of Rajya Sabha:

• To maintain the federal equilibrium by protecting the interests of the states against the undue interference of the Centre. So, statement 1 is correct.
• It enables a second and reflective expression of representative opinion. 
• It acts as a deliberative body holding high-quality debates on important issues. So, statement 2 is correct.
• It helps to initiate proposals for public policy. So, statement 3 is correct.
• Both the Houses check one another avoiding parliamentary tyranny.
• It can ensure that the majoritarian of the Lower House does not undermine rule of law, Indian Constitution and public institutions.
• It acts as a knowledge domain due to the presence of experts.
• It represents the interests of the States and promotes Federalism.
• It can be the voice of sanity, of the excluded, and of citizen rights.

The geologic time scale (GTS) is a system of chronological dating that classifies geological strata (stratigraphy) in time. The geologic time scale is divided into eons, eras, periods, epochs, and ages with eons being the longest time divisions and ages the shortest.

• The Pleistocene Epoch is typically defined as the time period that began about 2.6 million years ago and lasted until about 11,700 years ago.
• This is known as the  'Great Ice-age' over the planet.
• The most recent Ice Age occurred then, as glaciers covered huge parts of the planet Earth.
• This happened when the less sunlight reaches the northern latitudes, temperatures drop and more water freezes into ice, starting an ice age.
• When more sunlight reaches the northern latitudes, temperatures rise, ice sheets melt, and the ice age ends.
• Ice grew to more than 12,000 feet thick as sheets spread across Canada, Scandinavia, Russia, and South America.

Annihilation of Caste (1936) was written by Dr. BR Ambedkar, also called Babasaheb Ambedkar.

He was the chairman of the Drafting Committee of the Constituent Assembly and played a crucial role in framing the Indian Constitution. The motive behind writing this book is to draw mass attention towards the depressed class and measures to remove untouchability.

Few important books of Dr. Ambedkar:

• Mook Nayak (weekly) 1920
• Janta (weekly) 1930
• The Untouchables 1948
• Buddha Or Karl Marx 1956

Women during the early Vedic period enjoyed equal status with men in all aspects of life. In ancient India, through the patriarchal system was highly prevalent – all-male domination -women have enjoyed a position of respect and reverence.

A Suitable Boy is a novel by Vikram Seth, published in 1993. A Suitable Boy by Vikram Seth is the story of ordinary people caught up in a web of love and ambition, humour and sadness, prejudice and reconciliation, the most delicate social etiquette and the appalling violence. Vikram Seth is an Indian poet, novelist, travel writer, librettist, children's writer, biographer and memoirist.