MAT Mock Test - 8 - MAT MCQ

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

Now the man is facing south.

17th June 2004 it was a Saturday so 17th June to 23rd September = 98 days i.e. 14 weeks o odd days.

= Saturday + 0 = Saturday

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.

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, Elina is the tallest and lightest.

Given,

January 1, 2018 was Monday

In a normal year number of days = 365

Number of odd days = 365/7 = + 1

1 January 2018 = Monday

1 January 2019 = Monday + 1 = Tuesday

∴ January 1, 2019 = Tuesday

Only assumption I is implicit. Such decisions as given in the statement are taken only after taking the existing vacancies into consideration. So, I implicit while II isn't.

Given: 

Cost price of the articles = Rs.4200

Selling price of the articles = 4200 – 630 = Rs.3570 

Using statement I:

Let the cost price of the cheapest article be x.

Then, the cost price of the costliest article be x + 600

∴ Cost price of third article = 4200 – x – (x + 600) = 3600 – 2x

Statement I alone is not sufficient to answer the question

Using statement II:

Let the price of the cheapest item and the costliest item be x and y respectively.

Then, the cost price of third item

∴ Selling price of the articles

Where z → loss percentage

Statement II alone is not sufficient to answer the question.

Using statement I and statement II together:

The cost price of the third article is the avg of the cost price of cheapest and costliest article.

Cost price of cheapest article = 1100

Cost price of costliest article = 1100 + 600 = 1700

Cost price of third article

Selling price of the articles 

Loss

∴ The data in both statements I and II together are needed to answer the question. 

From statement I:
Total time require to fill the cistern = 12 minutes
Part of cistern filled in 1 minute = 1/12

From statement II:
Time taken to fill the cistern with leakage  = 12 + 3 = 15 minutes
Part of the tank filled with the leakage in 1 minute  = 1/15
The empty volume of the tank in 1 minute
The tank may be empty because of the leakage = 60 minutes
∴ Both statements are required to answer the question.

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

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.

and

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.