MAT Mock Test - 3 - MAT MCQ

The meaning of the phrase “at loggerheads”, as used in the passage is opposite to each other.

The most likely purpose of writing this passage is to highlight the steps and caution to be taken about the entry of foreign media.

We can refer to passage lines- "All this explains why so many Indian newspapers, magazines and news agencies have sought protection from the courts to prevent foreign publications and news agencies from operating in the country. Their arguments are weak on two counts."

"One way to strike a balance between the two antagonistic principles would be to allow foreign media entry into the country, provided the India state treats them at par with the domestic media on all fronts."

The word 'Yearn' means to want somebody/something very much, especially something that you cannot have.

The synonym of the word 'Yearn' is 'Crave', which means 'to want greatly'.

The word 'Saunter' means a relaxed journey on foot for exercise or pleasure.

The synonyms of the word 'Saunter' are "stroll, ramble, wander".

From the synonym of the given word, we can say that the word 'Stroll' has the same meaning.

The word 'Stroll' means to walk in a leisurely way.

Decimal is a number system with ten as base. Similarly, binary is a number system with two as base. Others don't have a number system.

According to the given information:

(1) Infant A was lighter than infant , i.e.,

(2) Infant was lighter than infant , i.e.,

(3) Infant B was lighter than infant but heavier than infant , i.e.,

On combining all the statements, we get:

Thus, is heavier than and . Also, as is heavier than , implies, is heavier than both and .

So, infant is the heaviest.

Floor: 1, 2, 3, 4

Flat: 1, 2

Persons: U, V, W, X, Y, Z, A, B, C

1) A & Z live in an even flat but not in even floor.

2) U lives west of A.

3) Z lives between the W and X, but both are live in flat – 1. Case 1 won’t possible.

4) X lives in a flat that is just above the flat in which Y live. Case 2(a) won’t possible.
5) C doesn’t live immediate of A. And B lives on 2nd flat of 2nd floor.

According to the arrangement, W is left of the person B. 

Today is Friday + 2, i.e., Sunday.

Tomorrow will be Monday. The Day after tomorrow will be Tuesday and two days after Tuesday will be Thursday.

The current positions of Rahul is the same as the previous positions of Pankaj.

Thus, the number of boys is = (53^rd from the left end + 64^th from the right end - 1) = 116

So, the right answer is 116.

Angle traced by hour hand in 21/4 hrs
Angle traced by min. hand in 15 min

∴ Required angle
Hence the correct option is (C).

Similarly;

Let marked price of A is 500x.

Marked price of D 

Selling price of A 

Selling price of D 

According to question,
360x + 304x = 3984
⇒ x = 6 
Cost price of A  

Cost price of D  

Ratio

Let marked price of A & B be Rs. a and Rs. b.

Selling price of A  = Rs. 0.72a

Selling price of B  = Rs. 0.8075b

According to question, 

Marked price of A = 45000

Marked price of B = 16000

Selling price of A = 45000 × 0.72 = Rs. 32,400

Selling price of B = 16,000 × 0.8075 = Rs. 12920

Difference = 32,400 – 12920 = Rs. 19,480

Given:

The total monthly income is Rs. 36000.

In a particular month, the family spent Rs. 4500 on Diet.

The percentage

∴ The required percentage is .

Statement I:

Other expenditure = Rs. 20000

Savings Rs. 30000

 Percentage

Thus, this statement is alone sufficient to give the answer.

Statement II:

Share of three sister = 3 x 4000 = Rs. 12000

Share of brother = Rs. 5000

Savings = 60% of (60000 - 12000 - 5000) = Rs. 25800

Percentage

Thus, this statement is alone sufficient to give the answer.

Statement III:

Savings = 15000 + share of each sister

60000 = share of three sister + share of brother + other

expenditure + 15000 + share of each sister

45000 = 4 x share of each sister + share of brother + other expenditure

Given data is not sufficient to determine the answer.

Thus, this statement is not sufficient alone.

Quantity A:
10p² − 7p + 1 = 0
⇒ 10p − 5p − 2p + 1 = 0
⇒ 5p (2p − 1) − 1 (2p − 1) = 0
⇒ (2p − 1) ( 5p − 1)
⇒ p = 1/2 or 1/5
Quantity B:
35q² − 12q + 1 = 0
⇒ 35q² − 7q − 5q + 1 = 0
⇒ 7q (5q − 1) − 1 (5 q − 1) = 0
⇒ (7q − 1) (5q − 1) = 0
⇒ q = 1/7 or 1/5
∴ Quantity A ≥ Quantity B

Let be a sample space and be an event such that , and , and each outcome is equally likely.

Then

If and are any two events associated with a random experiment then .

A coin is tossed three times.

So, the sample for the given experiment is:

Let be the event that head and tail appears alternatively

i.e.,

As we know that, probability of an event is given by: 

By substituting and in the above equation we get

Given-

Let .

On putting the values of  and ,

Given, cost of a chair and table is Rs. 600 and the ratio of cost of one chair and table is 7 : 5. 
Let the cost of one chair be a and one table be b. 
∴ a/b = 7/5
⇒ a = 7b/5
Now, a + b = 600 
⇒ (7b/5 + b) = 600
⇒ 12b = 3000
⇒ b = Rs. 250
∴ a =  Rs. 350

Given,

A is 30% more efficient than B.

C is 20% more efficient than B.

Total Work = Efficiency x Time

Let the efficiency of B be 100.

Efficiency ratio,

A : B = 130 : 100

B : C = 100 : 120

From equation (1) and (2), we get,

A : B : C = 130 : 100 : 120

A : B : C = 13 : 10 : 12

Total Work = Efficiency x Time

Total Work = (13 + 10 + 12) x 5 = 35 x 5 = 175 

Time

Time

Time A = 105/13 day

∴ 'A' alone complete 3/5 ^th of the total work in 105/13 days.

Given,
Cost Price = Rs. 720
Marked Price = Rs. 900
Concept used:


Calculation:
According to the question,

⇒ 900 × (100 - x) = 720 × (100 + 5x/3)
⇒ 90000 - 900x = 72000 + 1200x
⇒ 90000 - 900x = 72000 + 1200x
⇒ 2100x = 18000
⇒ x = 18000/2100
⇒ x = 60/7

∴ The vale of x is .

Given:

Number of days taken, if Heena and Karan work together = 12 days

Heena alone completes the work in 18 days.

Let the number of days taken by Karan to complete work be x.

Work done in 1 days by Heena = (1/18) 

Work done in 1 day by Karan = (1/x)

Work done in 1 day when both work together = (1/12) 

According to question:

⇒ 

⇒ x = 36 days

∴ Karan completes the work in 36 days.

Given: cos x ⋅ cos x(π/3 + x) ⋅ cos(π/3 - x) = 1/4, x ∈ [0, 6π]
4 × [cos x ⋅ cos(π/3 + x) ⋅ cos(π/3 - x)] = 1
2 cos x [2 cos(π/3 + x) ⋅ cos(π/3 - x)] = 1
or, 2 cos x [cos(π/3 + x + π/3 - x) + cos(π/3 + x - π/3 + x)] = 1
or, 2 cos x [cos 2π/3 + cos 2x] = 1
or, 2 cos x [-1/2 + cos 2x] = 1
or, - cos x + cos 3x + cos x = 1
or, cos 3x = 1 = cos 0
or, 3x = 2nπ ± 0 where n = 0, 1, 2, 3......
or, x = 2nπ/3
x = 2π/3, 4π/3, 6π/3, 8π/3, 10π/3, 12π/3, 14π/3, 16π/3, 18π/3
Sum of all values = 2π[1+2+3+4+5+6+7+8+9]/3
= 2π×45/3
= 30π

Ashvaghosha was a philosopher and poet who is considered India’s greatest poet before Kalidasa (5th century) and the father of Sanskrit drama.

He popularized the style of Sanskrit poetry known as kavya.

Legend obscures the man, but it is known that he was an outspoken opponent of Buddhism until, after a heated debate with a noted Buddhist scholar on the relative merits of Hinduism and Buddhism, he accepted the value of Buddhism and became a disciple of his erstwhile opponent.

Ashvaghosha adorned the court of Kanishka.

Buddhacharita is an epic poem in the Sanskrit maha kavya style on the life of Gautama Buddha by Asvaghoṣa.

Ashvaghosha spoke at length on Mahayana (Greater Vehicle) Buddhist doctrine at the fourth Buddhist council, which he helped organize.

The Montagu-Chelmsford Reforms or more briefly known as Mont-Ford Reforms were reforms introduced by the colonial government in British India to introduce self-governing institutions gradually in India.

• The reforms take their name from Edwin Montagu, the Secretary of State for India during the latter parts of the First World War, and Lord Chelmsford, Viceroy of India between 1916 and 1921.
• The reforms were outlined in the Montagu-Chelmsford Report prepared in 1918 and formed the basis of the Government of India Act 1919.
• These are related to constitutional reforms.
• The important features of this act were:

1. The Imperial Legislative Council at the centre was now to consist of two houses- the Central Legislative Assembly and the Council of State.
2. The provinces were to follow the Dual Government System or Dyarchy.

Therefore, both the statements are correct.

Uranium-235 has 92 protons, so the proton number of 235U is 92. It has 92 protons plus 143 neutrons inside its nucleus, so it's total nucleon number is 235.

Uranium-235 (235U) is an isotope of Uranium forming up about 0.72 percent of natural Uranium. Unlike that of predominant isotope Uranium238, it is much fissile, i.e., it may sustain a fission chain reaction. This is the only fissile isotope that is primordial and is found in relatively sufficient quantities in nature. Uranium-235 possesses a half-life of 703.8 million years. It was first discovered in 1935 by Arthur Jeffrey Dempster. Its fission cross-section for slow thermal neutrons is almost about 584.994 barns. For quick neutrons, it is on the order of 1 barn. Mostly but not all neutron absorptions result in fission; a minority even results in neutron capture making uranium-236.

Sound waves are examples of the mechanical waves, while the light waves, Radio waves, and Microwaves are examples of electromagnetic waves. Electromagnetic waves are formed by the vibration of an electric charge. This vibration makes a wave that has both an electric and also a magnetic component. Sound waves are the longitudinal waves that require a medium to travel, and it can't travel through the vacuum. Light generally refers to the visible light, which is electromagnetic radiation that is seen to the human eye and is even responsible for the sense of sight.

Electron affinity is defined as the change in energy of a neutral atom (in the gaseous phase) when an electron is added to the atom to form a negative ion.

Electron affinity of noble gases is almost zero. Noble gases have completely filled valence shells and stable octets. They do not accept electrons easily as they have no deficiency, also adding electrons produces repulsion between the electrons.

According to a recent study, the UAE passport is ranked as the most affordable globally, while the Indian passport follows as the second cheapest. The study highlights the cost-effectiveness of the Indian passport in terms of acquisition and yearly expenses, but it notes the limited visa-free access compared to higher-priced passports from countries like Australia and the USA.