MAT Mock Test - 2 - MAT MCQ

While arranging sentences in a sequence, it is important to understand the theme of the passage so that the introductory and the following statements can be chosen accordingly. The passage central theme revolves around biofuels and their advantages -disadvantages. The first statement should be E as it introduces the topic 'biofuels' and mentions that they form an energy source that is potentially unlimited. Next should be statement F. It states a contradiction to the fact mentioned about biofuels in E that everything is good about the biofuels. It states that biofuels have disadvantages too. Next should be statement C as it talks about the disadvantages of biofuels which have been introduced in the prior statement. Next should be statement A. It states that despite having disadvantages, biofuels have numerous advantages as well.  It should be followed by statement B which talks about some other advantages as well. B mentions 'turnaround' which has also been mentioned in statement D making BD, a mandatory pair.

So, the correct logical order is EFCABD.

While arranging sentences in a sequence, it is important to understand the theme of the passage so that the introductory and the following statements can be chosen accordingly. The passage central theme revolves around biofuels and their advantages -disadvantages. The first statement should be E as it introduces the topic 'biofuels' and mentions that they form an energy source that is potentially unlimited. Next should be statement F. It states a contradiction to the fact mentioned about biofuels in E that everything is good about the biofuels. It states that the biofuels have disadvantages too. Next should be statement C as it talks about the disadvantages of biofuels which have been introduced in the prior statement. Next should be statement A. It states that despite having disadvantages, biofuels have numerous advantages as well.  It should be followed by statement B which talks about some other advantages as well. B mentions 'turnaround' which has also been mentioned in statement D making BD, a mandatory pair.

So, the correct logical order is EFCABD.

According to the passage, "Attackers could hurl flaming objects into the castle through the windows or ignite the wooden doors. The demise of castles can ultimately be attributed to gunpowder."

The nemesis of traditional castles was brought because cannons were able to knock down stone walls, thus, castles offered little protection.

The correct sentence will be: ''Each student will have to carry his own lunch to the picnic.''

In option (C), the preposition 'on' is incorrect and should be replaced with 'to' as 'to' is used to refer to a destination which is the picnic.

In option (A), 'each' is correct as it refers to each and every student.

In option (B), the pronoun 'his' is appropriately placed.

In option (D), 'will' is correct as it refers to an action in the future.

The correct meaning of the idiom 'A bone of contention' is 'a reason for discord.'

Example: The border has always been a bone of contention between these two countries.

The correct sequence is: RSPQ

The national unity of a free people depends upon a sufficiently even balance of political power against a revolutionary opposition that is irreconcilably opposed to it to make it impracticable for there to be an arbitrary administration.

In A, The opening or the first sentence of the correct arrangement must introduce the subject of the passage or act as an introductory line. Out of all the given sentences, the sentence that acts as an introductory line is C, telling us how the person, after his father's death, decided to travel alone to Warsaw. It gives a starting to the whole incident. Therefore, A forms the 1st sentence of our correct arrangement, making option (B) the right answer.

Drawing the figure according to the given information:

Shortest distance between camp J and camp M = JM

Assume a point X on LM such that JX is parallel to KL and JX = KL 

Triangle JXM is a right angle triangle.

Applying Pythagoras theorem-

(Hypotenuse)² = (Base)² + (Perpendicular)²

(JM)² = (JX)² + (XM)²

Now, JX = KL = 15 km 

And XM = LM - LX = 45 km - 20 km = 25 km

So, (JM)² = 15² + 25²

(JM)² = 225 + 625 = 850

JM = 
So, is the correct answer.

According to the statements, 

The increase in number of asthma cases must have alerted the authorities to take action to control air pollution that triggers the diseases. Thus, statement II is the cause and statement I is its effect.

Given,

A = 11

BOOK = 83

The code of the letters/words is formed by first adding the position values of all the letters in the words and then adding the resultant to ten times the tens digit of the resultant (if the resultant has only one digit then unit digit in that case).

A(1) + 1 x 10 = 11

B(2) + O(15) + O(15) + K(11) = 43  (In this case the tens digit is 4.)

⇒ 43 + 4 x 10 = 43 + 40 = 83

Similarly,

S(19) + E(5) + A(1) + T(20) = 45 (In this case the tens digit is 4.)

 ⇒ 45 + 4 x 10 = 45 + 40 = 85

Thus, 85 is the code for the word SEAT.

According to the question,

Quantity I:

Ace in a pack

The probability of getting Ace from a well-shuffled pack of cards when one card pick randomly,

Quantity II:

Jack in a pack

The probability of getting jack from a well-shuffled pack of cards when one card pick randomly,

Quantity I = Quantity II

From the table,
Just count the number of people who have age in between 30 - 35 years = 7
frequency (%) = 7/20 x 100 = 35%

From the paragraph,

Total no. of students in class = 320

The ratio of girls to boys = 7 : 9

So, the no. of boys = 320 × 9/16 = 180

Then, the no. of girls = 320 – 180 = 140

25% of the boys play golf, handball and kabaddi only.

So, the no. of boys play golf, handball and kabaddi only = 180 × 25/100 = 45

35% of the boys play only golf.

So, the no. of boys play only golf = 180 × 35/100 = 63

Then, the no. of boys play golf = 45 + 63 = 108

30% of the girls play volleyball and wrestling only.

So, the no. of girls play volleyball and wrestling only = 140 × 30/100 = 42

10% of the boys play kabaddi and wrestling only.

So, the no. of boys play kabaddi and wrestling only = 180 × 10/100 = 18

The ratio of number of girls to boys playing kabaddi and wrestling only is 5 : 3, respectively.

Then, the no. of girls play kabaddi and wrestling only = 18 × 5/3 = 30

25% of the girls play handball and wrestling only.

So, the no. of girls play handball and wrestling only = 140 × 25/100 = 35

15% of the girls play wrestling, basketball and volleyball only.

So, the no. of girls play wrestling, basketball and volleyball only = 140 × 15/100 = 21

Then, the no. of girls play golf = 140 – (42 + 30 + 35 + 21) = 12.

∴ The no. of students play golf = 108 + 12 = 120.

From the paragraph,

Total no. of students in class = 320

The ratio of girls to boys = 7 : 9

So, the no. of boys = 320 × 9/16 = 180

Then, the no. of girls = 320 – 180 = 140

25% of the boys play golf, handball and kabaddi only.

So, the no. of boys play golf, handball and kabaddi only = 180 × 25/100 = 45

10% of the boys play kabaddi and wrestling only.

So, the no. of boys play kabaddi and wrestling only = 180 × 10/100 = 18

The ratio of number of girls to boys playing kabaddi and wrestling only is 5 : 3, respectively.

Then, the no. of girls play kabaddi and wrestling only = 18 × 5/3 = 30

∴ The no. of students play kabaddi = 45 + 18 + 30 = 93

Hence, the correct option is (C).

Given:}
Time = 8 years
Formula used: Simple interest
 
Statement I:
Time = 8 years
Statement II:
Let the principal = X then simple interest = X/2

From statement I and II:

From statement I and II we can find the value of rate of interest.
∴ Both the statements I and II together are needed to answer the question.

If we have the dimensions, from Statement I,

Volume of cuboid = 10 × 5 × 12 = 600 cm³

If thickness is ' t ' and let side of square sheet be S, then,

600 = (S²) × (t)

If t = 1.5 cm is taken from Statement II,

600/1.5 = (S²) = 400

⇒ S = 20 cm

Height of cylinder = S = 20 cm [As square sheet is rolled so the side of the cylinder will be equal to side of square]

Outer circumference = S = 20 cm = 2πr 

Or, r = 10/π ≈ 3.185 

Thickness taken, t = 1.5 cm

So inner radius = 3.185 - 1.5 = 1.685 cm

Whereas Statement III has no significance anywhere.

But none of the statement alone can answer the question individually.

So, answer is using statement I and II together is sufficient

Given,

Two pipes can fill a tank in 12 hours and 15 hours respectively.

Total work = Time × Efficiency

Suppose total capacity of tank = 60 units (LCM of 12 and 15)

So, efficiency of first pipe = 60/12 = 5 units

Efficiency of second pipe = 60/15 = 4 units

So, tank filled in 4 hours = (5 + 4) × 4 = 36 units

Remaining tank to be filled = 60 – 36 = 24 units

So, the remaining 24 units of work will be filled by the second pipe in 24/4 = 6 hours.

Given,
For A,
Cost price of horse = (3600 X 100/90) = Rs. 4000
For B,
Selling price of horse = Rs. (4000 X 112/100) = Rs. 4480
∴ B's profit  = 4480 - 3600 Rs. 880

Given:

Total number of students failed in English (x) = 20%

Total number of students failed in Maths (y) = 15%

Total number of students failed in both (z) = 5%

Formula Used:

Percentage of students passed in both = [100 – (x + y – z)]

According to the formula:

∴ Percentage of students passed in both = [100 – (x + y – z)]

= [100 – (20 + 15 – 5)]

= [100 – 30]

= 70%

∴ 70% students passed in both subjects.

Given:

As we know that, sin^-1 (x) = cosec^-1

As we know that, sec^-1 y + cosec^-1 y = π/2, y ≤ - 1 or y ≥ 1

Given,

Market price of cooler = 1600 

Profit % = 20%, Discount = 10%

As we know,

Profit 

Selling price = 90% of 1600 = Rs. 1440

Profit % = 20% = 1/5 

Let, the cost price be Rs. x.

⇒ 20x = 144000 - 100x

⇒ 120x = 144000

⇒ x = 1200

∴ Cost price of the cooler is Rs. 1200.

Given: 2x² – 3y² – 6 = 0

Now by dividing the given equation by 6 on both the sides, we get

As we know that, the equation of a hyperbola with the centre at origin and foci on x-+axis is given by: 

Therefore, the given equation represents a hyperbola.

Given:

Time taken by pipe A to fill the tank = 5 hours 

Time taken by pipe B to fill the tank = 6 hours 

Time taken by Pipe C to empty the tank = 12 hours

Let the quantity of water to be filled = p 

Quantity of water A fills in one hour = p/5

Quantity of water B fills in one hour = p/6 

Quantity of water C empties in one hour = p/12 

So, part of p filled in one hour = p/5 + p/6 - p/12 = 17p/60

∴ p can be filled in = 60/17 hours =  hours

Human blood plasma has a pH range of 7.35 - 7.45  which makes About 55 percent of the total blood of the body is plasma.

This plasma also contains about 92 percent water. About 7 percent of the vitamins are protein and one percent of the total contains minerals, salt, sugar, fat, hormones, and vitamins.blood slightly basic or alkaline.

Eutrophication is the natural ageing of a lake by nutrient enrichment of its water. Therefore, statement 1 is correct.

• In a young lake, the water is cold and clear, supporting little life.
• With time, streams draining into the lake introduce nutrients such as nitrogen and phosphorus, which encourage the growth of aquatic organisms.
• As the lake’s fertility increases, plant and animal life burgeons, and organic remains begin to be deposited on the lake bottom.
• Over the centuries, as silt and organic debris pile up, the lake grows shallower and warmer, with warm-water organisms supplanting those that thrive in a cold environment.

The prime contaminants are nitrates and phosphates, which act as plant nutrients. Therefore statement 2 is correct.

They overstimulate the growth of algae, causing unsightly scum and unpleasant odours, and robbing the water of dissolved oxygen vital to other aquatic life.

Refractive index of diamond is very much large and structure of the diamond is such that when light enters inside the diamond, there is a 'total internal reflection" which happens in the diamond, i.e., light gets reflected from one internal surface of the diamond and further reflect from other parts of the surface. This phenomenon gets repeated many times. It is because of this phenomenon the diamond shines.

Konark Sun Temple is situated in Konark, a town in the district of Puri in Odisha.

The Dashavatara Temple is an early 6th century Vishnu Hindu temple located at Deogarh, Uttar Pradesh which is 125 kilometers from Jhansi, in the Betwa River valley in northern-central India.

Meenakshi Amman Temple, also known as Minakshi-Sundareshwara Temple, is one of the oldest and most important temples in India. Located in the city of Madurai, the temple has a great mythological and historical significance.

​The Vishvanatha Temple is a Hindu temple in Madhya Pradesh, India. It is located among the western group of Khajuraho Monuments, a UNESCO World Heritage site.