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CAT Practice Test: Week 6 - CAT MCQ


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30 Questions MCQ Test - CAT Practice Test: Week 6

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CAT Practice Test: Week 6 - Question 1

The difference between the two positive numbers is 10 and the ratio between them is 5:3. Find the product of the two numbers.

Detailed Solution for CAT Practice Test: Week 6 - Question 1

Let the nos. be 5x and 3x.
Then, 5x - 3x = 10
⇒ 2x = 10, x = 5
Required product = 5x * 3x
⇒ 5 * 5 * 3 * 5 = 375

CAT Practice Test: Week 6 - Question 2

Four numbers in the ratio of 1:3:4:7 add up to give a sum of 75. Find the value of the biggest number.

Detailed Solution for CAT Practice Test: Week 6 - Question 2

Let the number be x, 3x, 4x and 7x. Then, x + 3x + 4x + 7x = 75
⇒ 15x = 75 , x = 5
Required value = 7 * 5 = 35

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CAT Practice Test: Week 6 - Question 3

According to the Boyle’s law, at a constant temperature, pressure of a definite mass of gas is inversely proportional to the volume. If the pressure is reduced by 20%, find the respective change in volume.

Detailed Solution for CAT Practice Test: Week 6 - Question 3

CAT Practice Test: Week 6 - Question 4

P is directly proportional to Q, and Q = 7 when P = 15, find P when Q = 14.

Detailed Solution for CAT Practice Test: Week 6 - Question 4

CAT Practice Test: Week 6 - Question 5

If p/q = 3/4, then find the value of the expression (5p - 3q)/(7p + 2q).

Detailed Solution for CAT Practice Test: Week 6 - Question 5

CAT Practice Test: Week 6 - Question 6

A and B invested Rs 12,000 and Rs 18,000 respectively in a business for the whole year. At the year-end, there was a total profit of Rs 2,000. What is the share of A in the profit?

Detailed Solution for CAT Practice Test: Week 6 - Question 6

Correct Answer- Option A

CAT Practice Test: Week 6 - Question 7

A and B invest Rs 12,000 and Rs 16,000 respectively in a business. At the year-end, they share the profit in the ratio of 3:1. If A has invested his capital for the whole year, for how many months B has invested his capital?

Detailed Solution for CAT Practice Test: Week 6 - Question 7

Let B invested for n months

n = 3

CAT Practice Test: Week 6 - Question 8

The sum of the ages of the 4 members of Sinha family is 140 years. 5 years ago the ages of the 4 members Nishu, Vicky, Mrs Sinha and Mr Sinha were in the ratio of 2 : 3 : 7 : 8 . After how many years would Nishu be as old as the present age of his mother?

Detailed Solution for CAT Practice Test: Week 6 - Question 8

Let their ages 5 years ago be 2x, 3x, 7x and 8x. Their ages now 2x + 5, 3x + 5, 7x + 5, 8x + 5.

Or, 20x + 20 = 140 ⇒ 2Ox = 120 ⇒ x = 6

Present age o f Nishu = 2 x 6 + 5 = 17 years

Present age o f mother = 7 x 6 + 5 = 47 years

Hence, required years (47 -17) years = 30 years

CAT Practice Test: Week 6 - Question 9

Two-fifth of Anil’s salary is equal of Bhuvan’s salary and seven -ninth of Bhuvan’s salary is equal to Chandra’s salary. The sum of the salary of all of them is Rs 770. Which of the following is the salary of each one of them?

Detailed Solution for CAT Practice Test: Week 6 - Question 9

CAT Practice Test: Week 6 - Question 10

Bidhan is planning to buy a bike worth Rs 35,000, provided his brother agrees to lend him 3/2 times the money Bidhan contributes and the financer provides 3 times the brother’s contribution. How much does Bidhan’s brother contribute?

Detailed Solution for CAT Practice Test: Week 6 - Question 10

CAT Practice Test: Week 6 - Question 11

At what time between 5:30 and 6:00 will the hands of a clock be at right angles?

Detailed Solution for CAT Practice Test: Week 6 - Question 11

At 5 o'clock, the hands are 25 minute space apart.
To be at right angle, that too between 5:30 and 6:00, the minute hand has to gain (25 + 15) or 40 minute space.
55 minute space is gained in 60 minutes.
40 minute space is gained in 40 ×
Therefore, required time =  

CAT Practice Test: Week 6 - Question 12

How many times do the hands of a clock coincide in a day?  

Detailed Solution for CAT Practice Test: Week 6 - Question 12

The hands will coincide once every hour, except from 11 to 1, when the hands coincide once in two hours at 12. Thus, the hands coincide 11 times in 12 hours or 22 times in 24 hours.

CAT Practice Test: Week 6 - Question 13

My watch, which gains uniformly, is 2 minutes behind at noon on Saturday. It is 4 minutes and 48 seconds ahead at 3:00 p.m. the following Monday. When does it show the correct time?  

Detailed Solution for CAT Practice Test: Week 6 - Question 13

From Saturday noon to the following Monday till 3 p.m, total time = 51 hours
Now, minutes are gained in 51 hours.
1 minute shall be gained in 51 × (5/34) hours.
Thus, 2 minutes shall be gained in (2 × 51) × (5/34) hours = 15 hours after 12:00 p.m. Saturday, i.e. 3:00 a.m. Sunday.

CAT Practice Test: Week 6 - Question 14

The year after 1988 having the same calendar as that of 1988 is  

Detailed Solution for CAT Practice Test: Week 6 - Question 14

Every leap year repeats its calendar after 28 years.
Since year 1988 was a leap year, the calendar of year 2016 will be the same as that of year 1988.

CAT Practice Test: Week 6 - Question 15

If the day on 4th April, 1988 was a Monday, then what was the day on 3rd November, 1987?  

Detailed Solution for CAT Practice Test: Week 6 - Question 15

1988 April 4th to 1987 November 3rd, we have 27 + 31 + 31 + 29 + 31 + 4 = 153 Days = 21 weeks + 6 odd days.
Six days before(because later date is given and former date is asked) a Monday comes a Tuesday.

CAT Practice Test: Week 6 - Question 16

The year next to 1991 having the same calendar as that of 1991 is  

Detailed Solution for CAT Practice Test: Week 6 - Question 16


Year 2002, after 14 odd days, has the same calendar as 1991.

CAT Practice Test: Week 6 - Question 17

If today is 1st August, the day is Monday and it is a leap year, then the day of the week on this day, after 3 years, will be  

Detailed Solution for CAT Practice Test: Week 6 - Question 17

As the given year is a leap year, so 1st August in the next year will be Tuesday. After 2 years, it will be Wednesday.
After 3 years, it will be Thursday.

CAT Practice Test: Week 6 - Question 18

How many days are there from 2nd January, 1990 to 15th March, 1990? (both days included)  

Detailed Solution for CAT Practice Test: Week 6 - Question 18

Number of days = 30 (January) + 28 (February) + 15 (March) = 73

CAT Practice Test: Week 6 - Question 19

A clock is set right at 8 a.m. and it gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1:00 p.m. the following day?

Detailed Solution for CAT Practice Test: Week 6 - Question 19

From 8 a.m. today to 1 p.m. the following day, there are a total of 29 hours. Also, our clock is gaining 10 minutes in 24 hours.
∴ In a day, 1450 (24 × 60 + 10) minutes of our clock means 1440 (24 × 60) minutes of true time.
1 minute of our clock means 1440/1450 minutes of true time.
(29 × 60) minutes of our clock = 1440/1450  × 29 × 60 minutes of true time
= 28.8 × 60 minutes of true time
= 28 hours 48 minutes of true time
Thus, the true time will be 48 minutes past 12.

CAT Practice Test: Week 6 - Question 20

How many times a day are the hands of a clock straight but opposite in direction?  

Detailed Solution for CAT Practice Test: Week 6 - Question 20

Hands of the clock are straight when they are coinciding and when they are pointing towards each other (30 min spaces apart). Hands will coincide once every hour except from 11 to 1 where hands are coinciding once in two hours at 12. Thus, hands will coincide 11 times in 12 hours or 22 times in 24 hours.

CAT Practice Test: Week 6 - Question 21

Directions: In the following passage, there are blanks, each of which has been numbered.

There is something (1)_____ to human pride in a rustic life. It grates against the heart to think of the tone in which we unconsciously permit ourselves to (2)_____ a rustic. We see in him humanity in its (3)_____ state. It is a sad thought to feel that we despise him; that all we (4)_____ in our species is what has been (5)_____ by art; the gaudy dress, the glittering equipage, or even the cultivated intellect. The mere and naked material of nature we eye with indifference, or (6)_____ on with disdain. Poor child of toil, from the grey dawn to the setting sun, one long test of (7)_____. And then too, mark how we comment upon his scanty holidays, how we hedge in his mirth, and how we turn hilarity into crime. Do we not mistake the idyllic, (8)_____ rustic charm for uncouth, inelegant artlessness?
Why not look upon the whole issue from the other (9)_____. How does the rustic view the uptown gentry? The view will surely not be very (10)_____. And yet, the 'rustic' has the civility to 'waive off' such 'reckless' opinions about the urban folk and restrict himself to the upkeep of values only on his own part.

Find out the appropriate word and fill blank (9).

Detailed Solution for CAT Practice Test: Week 6 - Question 21

The passage talks about looking from another viewpoint or aspect. There is no dividing into periods or phases.
So, first two options are incorrect. 'Gradient' means a slope . These two also don't fit in the given context.
So, third and fourth options are also incorrect. Correct answer is option (d).

CAT Practice Test: Week 6 - Question 22

Directions: In the following sentence, there are three blank spaces. Below the sentence, there are some options and each option consists of three words which can be filled up in the blanks to make the sentence meaningful. Choose the correct option.

There are several theories which try to ________ the functional ________ for the stripes found in Zebras, though none of them is fully ________.

Detailed Solution for CAT Practice Test: Week 6 - Question 22

A theory can explain the reason for something but may not be very convincing (capable of causing someone to believe that something is true or real). Option d has the best fillers.

CAT Practice Test: Week 6 - Question 23

Directions: From among the given combinations, choose the one that contains words that fit in the sentence in the same order and make the sentence logically and grammatically correct.

She was by now convinced that her daughter had _______ her love of singing from her father who had died _______ unexpectedly away from home.

Detailed Solution for CAT Practice Test: Week 6 - Question 23

Clue is provided by 'her love of singing from her father.' This suggests that the girl imbibed the love for singing from her father. Something that is received by a child from a parent is known as 'inheritance,' so 'inherited' fits in the blank (a). No other adverb but 'so' in the second blank makes the sentence meaningful.

CAT Practice Test: Week 6 - Question 24

Directions: From among the given combinations, choose the one that contains words that fit in the sentence in the same order and make the sentence logically and grammatically correct.

Letters to the editor should be ________ in style and quite ________.

Detailed Solution for CAT Practice Test: Week 6 - Question 24

Option (c) contains words 'lucid' and 'objective', which are appropriate to be used in context of letter to the editor. 'Lucid' means intelligible or clear enough to be understood. Objective means unbiased. This is a perfect match for describing characteristics of letter to editor.

CAT Practice Test: Week 6 - Question 25

Directions: In the following passage, there are blanks, each of which has been numbered.

There is something (1)_____ to human pride in a rustic life. It grates against the heart to think of the tone in which we unconsciously permit ourselves to (2)_____ a rustic. We see in him humanity in its (3)_____ state. It is a sad thought to feel that we despise him; that all we (4)_____ in our species is what has been (5)_____ by art; the gaudy dress, the glittering equipage, or even the cultivated intellect. The mere and naked material of nature we eye with indifference, or (6)_____ on with disdain. Poor child of toil, from the grey dawn to the setting sun, one long test of (7)_____. And then too, mark how we comment upon his scanty holidays, how we hedge in his mirth, and how we turn hilarity into crime. Do we not mistake the idyllic, (8)_____ rustic charm for uncouth, inelegant artlessness?
Why not look upon the whole issue from the other (9)_____. How does the rustic view the uptown gentry? The view will surely not be very (10)_____. And yet, the 'rustic' has the civility to 'waive off' such 'reckless' opinions about the urban folk and restrict himself to the upkeep of values only on his own part.

Find out the appropriate word and fill blank (2).

Detailed Solution for CAT Practice Test: Week 6 - Question 25

The key word is 'tone'. So, the rustic is being spoken to. But 'speak' does not fit with the flow of the sentence. It requires 'to' after the blank. Similar idea is found in 'address' which means 'to speak to'. It fits the blank and is correct.

CAT Practice Test: Week 6 - Question 26

Directions: The passage has blanks and each blank is numbered. A word is given in brackets for each blank. If the given word is correct, choose option 5 as your answer. Else, choose the most appropriate word from among the given options.

Indeed, the sheer joy of watching a movie and ___1 (keeping)___ on our favourite food go hand in hand. However, to be forced to cough up extra money to not just ___2 (terminate)___ hunger pangs, but also quench thirst is an aftertaste that no cinegoer relishes. Both the steep prices and the ___3 (production)___ to carry your food items in cinema halls have been a cause of heartburn for many a movie viewer. Invariably the ___4 (element)___ of a good film is soured by the exorbitant cost of not just sundry food items such as popcorn, soft drinks and burger, but even an essential bottle of water, all of which are sold at an unjustified premium. Now at least viewers in Maharashtra can heave a sigh of relief. Come August, they will be able to take their food into cinema halls and also expect ___5 (reconsideration)___ of food prices.

The Maharashtra Government has done well to pay ___6 (need)___ to the Bombay High Court's observation which had not too long ago directed to look into the matter. Why film viewers should be compelled to buy food, the Bench had rightly asked. More so, since the existing rules don't even justify the arbitrariness of the diktat that viewers are forced to comply with. Unlike other avenues of entertainment, cinema is not an elitist medium aimed at a privileged few ready to pay extra for fringe ___7 (effects)___; instead it is everyone's cup of tea. Thus masses' prime time passion for cinema can't become an excuse to deny them their fair share of tea, cola, coffee at a fair price.

Analysts speaking on ___8 (destruction)___ of multiplex owners might cry foul and dub the Maharashtra Government's decision a populist move. However, the impending step that has already brought cheer to viewers in Maharashtra is worthy of ___9 (clearance)___, and other states must take a cue. The veiled threat that this could lead to further escalation in movie ticket prices can't be taken lying down and should be met with the same resolve and intention that drives the lifting of existing ban. Overcharging for food and water by cinema hall owners ___10 (leads)___ to fraud.

Fill in the blank 6.

Detailed Solution for CAT Practice Test: Week 6 - Question 26

'Pay heed' is a phrasal verb which means to pay attention. The sentence suggests that the Maharashtra Government paid attention to the Bombay High Court's observation and acted accordingly. So, only this fits in the context.

CAT Practice Test: Week 6 - Question 27

Directions: The passage has blanks and each blank is numbered. A word is given in brackets for each blank. If the given word is correct, choose option 5 as your answer. Else, choose the most appropriate word from among the given options.
Indeed, the sheer joy of watching a movie and ___1 (keeping)___ on our favourite food go hand in hand. However, to be forced to cough up extra money to not just ___2 (terminate)___ hunger pangs, but also quench thirst is an aftertaste that no cinegoer relishes. Both the steep prices and the ___3 (production)___ to carry your food items in cinema halls have been a cause of heartburn for many a movie viewer. Invariably the ___4 (element)___ of a good film is soured by the exorbitant cost of not just sundry food items such as popcorn, soft drinks and burger, but even an essential bottle of water, all of which are sold at an unjustified premium. Now at least viewers in Maharashtra can heave a sigh of relief. Come August, they will be able to take their food into cinema halls and also expect ___5 (reconsideration)___ of food prices.
The Maharashtra Government has done well to pay ___6 (need)___ to the Bombay High Court's observation which had not too long ago directed to look into the matter. Why film viewers should be compelled to buy food, the Bench had rightly asked. More so, since the existing rules don't even justify the arbitrariness of the diktat that viewers are forced to comply with. Unlike other avenues of entertainment, cinema is not an elitist medium aimed at a privileged few ready to pay extra for fringe ___7 (effects)___; instead it is everyone's cup of tea. Thus masses' prime time passion for cinema can't become an excuse to deny them their fair share of tea, cola, coffee at a fair price.
Analysts speaking on ___8 (destruction)___ of multiplex owners might cry foul and dub the Maharashtra Government's decision a populist move. However, the impending step that has already brought cheer to viewers in Maharashtra is worthy of ___9 (clearance)___, and other states must take a cue. The veiled threat that this could lead to further escalation in movie ticket prices can't be taken lying down and should be met with the same resolve and intention that drives the lifting of existing ban. Overcharging for food and water by cinema hall owners ___10 (leads)___ to fraud.

Fill in the blank 7.

Detailed Solution for CAT Practice Test: Week 6 - Question 27

The extra benefits like food and water during a movie can be attained only by those paying extra. These 'extra benefits' restricted to the privileged class are termed as 'fringe benefits'. 

CAT Practice Test: Week 6 - Question 28

Select the word that best fits the blank:

In recent years, the rapid growth of technology has led to significant changes in the workplace. Many tasks that were once done manually are now completed with the help of advanced software and machinery. This shift has increased efficiency and productivity but has also raised concerns about job security for workers. As companies continue to automate tasks, the demand for employees with specialized skills has increased, while opportunities for unskilled labour have decreased. This transition has left some workers feeling ___ as they face uncertain futures in the job market.

Detailed Solution for CAT Practice Test: Week 6 - Question 28

Solution:

The correct answer is c) nervous.

Explanation:

The passage describes how the rapid growth of technology and automation in the workplace has led to increased efficiency and productivity but also raised concerns about job security for workers. This suggests that workers might feel anxious or uneasy about their future job prospects.

  • Hopeful (a) doesn’t fit, as the workers are facing uncertainty.
  • Empowered (b) also doesn't fit, because the context implies a feeling of uncertainty and insecurity, not empowerment.
  • Nervous (c) is the most appropriate word, as it aligns with the concern and uncertainty about job security mentioned in the passage.
  • Relieved (d) contradicts the idea of job insecurity and fear.
  • Indifferent (e) also doesn’t fit well, as the passage suggests workers are affected by the changes, not indifferent to them.

Therefore, nervous is the most suitable word to fill the blank.

CAT Practice Test: Week 6 - Question 29

Directions: In the following passage, there are blanks, each of which has been numbered.

There is something (1)_____ to human pride in a rustic life. It grates against the heart to think of the tone in which we unconsciously permit ourselves to (2)_____ a rustic. We see in him humanity in its (3)_____ state. It is a sad thought to feel that we despise him; that all we (4)_____ in our species is what has been (5)_____ by art; the gaudy dress, the glittering equipage, or even the cultivated intellect. The mere and naked material of nature we eye with indifference, or (6)_____ on with disdain. Poor child of toil, from the grey dawn to the setting sun, one long test of (7)_____. And then too, mark how we comment upon his scanty holidays, how we hedge in his mirth, and how we turn hilarity into crime. Do we not mistake the idyllic, (8)_____ rustic charm for uncouth, inelegant artlessness?
Why not look upon the whole issue from the other (9)_____. How does the rustic view the uptown gentry? The view will surely not be very (10)_____. And yet, the 'rustic' has the civility to 'waive off' such 'reckless' opinions about the urban folk and restrict himself to the upkeep of values only on his own part.

Find out the appropriate word and fill blank (6).

Detailed Solution for CAT Practice Test: Week 6 - Question 29

A negative word is required here. You do something with 'disdain'. Option (C) 'trample' is thus correct as it means to treat harshly by treading heavily on it. Use of the preposition 'on' further corroborates the answer as no option, other than 'trample' will be followed with 'on'.

CAT Practice Test: Week 6 - Question 30

Directions: In the following passage, there are blanks, each of which has been numbered.

There is something (1)_____ to human pride in a rustic life. It grates against the heart to think of the tone in which we unconsciously permit ourselves to (2)_____ a rustic. We see in him humanity in its (3)_____ state. It is a sad thought to feel that we despise him; that all we (4)_____ in our species is what has been (5)_____ by art; the gaudy dress, the glittering equipage, or even the cultivated intellect. The mere and naked material of nature we eye with indifference, or (6)_____ on with disdain. Poor child of toil, from the grey dawn to the setting sun, one long test of (7)_____. And then too, mark how we comment upon his scanty holidays, how we hedge in his mirth, and how we turn hilarity into crime. Do we not mistake the idyllic, (8)_____ rustic charm for uncouth, inelegant artlessness?
Why not look upon the whole issue from the other (9)_____. How does the rustic view the uptown gentry? The view will surely not be very (10)_____. And yet, the 'rustic' has the civility to 'waive off' such 'reckless' opinions about the urban folk and restrict himself to the upkeep of values only on his own part.

Find out the appropriate word and fill blank (5).

Detailed Solution for CAT Practice Test: Week 6 - Question 30

Through art, one creates. So, option (d) is correct.

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