CAT Practice Test: Week 4 - CAT MCQ

The consecutive even numbers are a, b, c, d, e.
Clearly, b = a + 2, c = a + 4, d = a + 6, e = a + 8

Note: Whenever difference between any two consecutive terms is constant (means the series is an arithmetic series), the average of all the numbers is

(i) the middle number if the number of terms is odd.

(ii) the average of the middle two numbers if the number of terms is even.

Let present age of father = F years
Let present age of son = S years
Let present age of mother = M years
Now, F + S = 29 × 2 = 58 years
Also, F + M + S + 15 = 3 × 37 = 111 years
On solving, we get
M = 38 years
Thus, present age of mother = 38 years

According to the question,
480 - 86 - x = 79  4 = 316
Or, lowest score = x = 480 - 86 - 316 = 78

The mean of 19 observations is 4.

New data when 24 is added:
76 + 24 = 100
New number of observations = 19 + 1 = 20

Let the number of officers be x.
Number of workers = 400 - x
10,000x + 2000(400 - x) = 3000(400)
10x + 800 - 2x = 1200
8x = 400
x = 50
Hence, the number of officers is 50.

Let the sum of all 10 numbers be S.
S = 10 × 27 = 270
Let the smallest number be s and the largest number be L.
So, S - s = 9x ... (i)
Also, S - L = 9y ... (ii)
Adding (i) and (ii), we get
2S - (s + L) = 9(x + y) = 9(x + y) = 9(10) = 90
Or 2S - 90 = (s + L)

Or 270 - 45 = 225

= 

Thus, answer option (1) is correct.

Average of 2 numbers is greater than 50 means that the sum should be greater than 100.
Different pairs are as follows:
(1, 100) … (1 pair)
(2, 99), (2, 100) … (2 pairs)
(3, 98), (3, 99), (3, 100) … (3 pairs)
... so on
(49, 52), (49, 53) ... (49, 100) ... (49 pairs)
(50, 51), (50, 52) … (50, 100) ... (50 pairs)
So, 1 + 2 + 3 + 4 + ... + 50 = 1275
Again
(51, 51), (51, 52), (51, 53), ... (51, 100) ... (50 pairs)
(52, 52), (52, 53), (52, 54), ... (52, 100) ... (49 pairs)
(53, 53), (53, 54), (53, 55), ... (53, 100) ... (48 pairs)
... so on
(99, 99), (99, 100) ... (2 pairs)
(100, 100) ... (1 pair)
So, 1 + 2 + 3 + 4 + ... + 50 = 1275
Hence, total = 1275 + 1275 = 2550 pairs

Required average = (1 + 2 + 3 + … + 15)/15 = 120/15 = 8. Alternately you could use the formula for sum of the first n natural numbers as n (n + 1)/2 with n as 15. Then average = Sum/15 = (15 x 16/2)/ 15 = 8

Required average = (2 + 4 + 6 + 8 + 10 + 12 + 14
+ 16 + 18 + 20)/10 = 110/10 = 11. Alternately you
could use the formula for sum of the first n even
natural numbers as n (n + 1) with n as 10. Then
average = Sum/10 = 10 ¥ 11/10 = 11.

Required average = (2 + 3 + 5 + 7 + 11 + 13 + 17
+ 19 + 23 + 29)/10 = 129/10 = 12.9.

All these three elements are different from each other

Some questions are asked in examination and some in practice but examination and practice are different from each other.

Bulb and Lamp are different from each other but light is obtained from both.

All the three are different from each other.

All the three are different from each other.

Hospital consists of nurse and patient but nurse and patient are of two different nature.

Mercury and Zinc both are different from one another but belong to metal.

A teacher may or may not be a writer and musician. Similarly a musician may or may not be a teacher and writer and so a writer may or may not be a teacher and musician.

The below-mentioned diagram best represents the relation between boys, girls, and students:

Method of solving this Question from Sentence Elimination:
Sentence A declares that we don’t do many activities at once, but just switch from one to the other. Sentence C talks of the cost of switching attention. C follows A.
Sentence B talks of multi-tasking, saying that it makes us demonstrably efficient, and increases our cognitive performance.
Sentence C, however states that every time we switch attention, we “pay" a metabolic cost in glucose, suggesting that switching attention is a drain on our physical resources.
Sentence D asserts that switching attention is an “expensive" brain activity. This ties in with sentence C. D possibly follows C.
We also see that B contradicts D. D suggests switching attention is an “expensive" brain activity, while B states that multitasking increases cognitive performance.
ACD make a paragraph.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence B.

Method of solving this Question from Sentence Elimination:
The best way to approach sentence elimination questions is to figure out which three of the four sentences given form a cogent paragraph. The sentence that does not fit in is the one to be eliminated.
Now, looking at sentences A and B, it is clear that they share a link -Ali’s rejection of the Vietnam War. Sentence A tells us that by rejecting war, Ali showed that he believed that war could not solve human problems. Sentence B talks of Ali’s refusal to base national boundaries as lines demarcating humans into “us" and “them". Each sentence, thus, conveys a distinct idea which answers the question, “What does Ali’s rejection of the Vietnam War show?". Also note that both sentences A and B have the word “thus" in them. In a paragraph, some other idea is likely to have preceded both these sentences.
Now looking at sentences C and D, we see that these two sentences too share a common idea-that of shunning violence while standing up to injustice. Sentence C argues that violence is used to legitimize hegemony or dominance and not resorting to it is the best way to challenge it. Sentence D too echoes this idea. If these sentences were to be rearranged in a paragraph, how would they be ordered? Sentence D declares that the “best way" to stand up to power and injustice is to be unyielding, while at the same time avoiding violence. Sentence C explains why this is so. It declares that violence is often used as a tool to authorize or establish dominance, and by avoiding it you are already challenging the hegemon. So C follows D.
Now which sentence from the two groups AB and CD shares a common idea with the other group?
We see that sentence A shares a common idea with D and C. The main idea of sentence A is that Ali rejected the Vietnam War as he believed war/violence is not the solution to human problems. If these sentences were to form a paragraph, they would be ordered DCA.
Sentence B, on the other hand, talks of a completely new idea- of national boundaries dividing humans into opposing factions. It does not fit with either D or C.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence B.

Method of solving this Question from Sentence Elimination:
Sentence A declares that the most emotional way to view history is through photographs.
Sentence B talks of what taking a photograph involves.
Sentence C says what “they" are not about- quotes or sound bites.
Sentence D states that photographs convey the ultimate journalistic credo of being in action at the right place at the right time.
So what the ideas link the given sentences?
Sentences B and D share a common idea that photographs capture “fleeting moments" and “fleeing reality".
Both sentences C and D relate to photo journalism. Sentence D talks of photographs conveying the “ultimate journalistic credo" of being at the site of action at the right time to capture moments that though short-lived, are life-changing.
Sentence C clarifies what kind of journalism photos are not about- they aren’t about getting quotes or quick comments.
We see a common thread emerging here. In a paragraph, we could order sentence D first, as it talks of photos conveying the ideal of journalism, and then sentence C which talks about what kind of journalism photos aren’t about, and follow it up with sentence B, which talks of what taking photographs involves. DCB makes a cogent paragraph.
Sentence A is the only one that voices a completely different idea- photos as emotional ways of looking back at history.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence A.

Method of solving this Question from Sentence Elimination:
There is a common idea in sentences B and D: both refer to politics. Sentence D talks of politicians manipulating people using emotions to grab power. Sentence B declares that this is not the problem. The problem is that people who are otherwise sensible allow themselves to be led blindly.
Again, sentences A and C seem related. Both talk of what the people must do. Sentence A calls upon the people to reflect, warning that if we don’t, we are likely to make mistakes in the name of good things such as fighting corruption and tackling crime. Sentence C states that we might be able to approach “the issue" with greater level-headedness by understanding that our security is not under attack; it is our sentiments that are offended.
What is “the issue" referred to in sentence C that stirs up our emotions and makes us fear that our security is under threat? Sentence A makes a reference to fighting corruption and tackling crime. It doesn’t specifically state one issue that makes us feel our security is threatened. Neither B or D helps us pinpoint what “the issue" is.
On the other hand, we see that sentence A urges people to think deeply and reflect, so that they do not commit “grievous" mistakes without proper deliberation. This continues the idea in sentence B that otherwise sensible citizens allow themselves to be led on by emotions stirred up by politicians. So DBA makes a cogent paragraph.
Sentence C does not fit, as it talks of a specific “issue" that the rest of the sentences cannot explain.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence C.

Method of solving this Question from Sentence Elimination:
Both sentences A and D talk about the “weight of the glaciers". Sentence D tells us that this weight has pushed against the Earth’s surface, causing it to depress and sentence A tells us that thanks to this weight being lifted, due to the melting of the glaciers, the surface is bounding back.
Now, we see that sentence B relates to the idea of the surface springing back. It tells us that mountain ranges such as the Alps have experienced a gradual “growth spurt" over the last century.
When placed in the order BDA, these sentences make a cogent paragraph.
Sentence C talks about glaciers “sculpting mountains" by carving out valleys and carrying away rock debris. This does not relate to the other sentences, which talk of the growth or rebounding of mountains due to the melting of glaciers.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence C.

Method of solving this Question from Sentence Elimination:
We can see straight away that both sentences B and C talk about India and its relations with its neighbors. Sentence B talks about India’s military focus on Pakistan over China “inspiring little confidence in its judgment, resolve, and prospects as a consequential power in the extended region". Sentence C talks of India’s ambition to emerge as the other major power in Asia being undermined by its “diffidence and skewed capabilities".
Again, the link between sentences A and D is obvious. Sentence A talks about India’s self-sufficiency in strategic armaments and sentence D about India’s dependence on other countries for conventional weaponry. It is also clear that D follows A, as it starts by observing the paradoxical nature of the situation.
So which sentence among these 2 groups has a common link with the other?
We see that sentence B refers to India’s military focus. Both sentences A and D talk of India’s military capabilities. However, a logical connection between these fails to emerge. If sentence B were to precede A and D, then the paragraph would start by saying that India’s military focus on Pakistan ignoring China shows poor judgment. But the sentence group A and D do not add to this: they talk instead of India’s capabilities, and do not substantiate the focus of sentence B, i.e. how the military stance is affecting India’s image in the world stage. What if B were to follow AD? Sentence D ends with a note on how India’s dependence on imports for conventional weaponry leaves “its foreign policy hostage to the whims and interests of vendor states". There is nothing in sentence B to substantiate or add to this. In fact, sentence B goes on to talk of a totally different idea. So it does not make a good option to follow D.
Now, sentence C talks of India’s strategic ambitions being undermined by its “diffidence and skewed capabilities". The word “skewed" provides a key link between this sentence and the sentence group AD. Clearly, sentences A and D talk about India’s asymmetrical capabilities in areas of strategic armaments and conventional weaponry. CAD makes a logical paragraph.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence B.

Method of solving this Question from Sentence Elimination:
Sentence A talks about automotive interests, which have carefully planted the idea in our minds that streets are where cars belong. We find a reference to cars and streets in sentence D, which says that “cars prowl the streets". However, neither sentence B, which describes the automobile as the 21st century’s “apex predator" nor sentence C, which talks of fatal collisions becoming an everyday phenomenon, is related to this idea.
Now, let’s consider the interesting description of the automobile in Sentence B declares as “the twenty-first century's apex predator". Why apex predator? An apex predator is one that sits on top of the food chain. This comparison of automobiles to apex predators draws our attention to automobiles as killers, the cause of fatal collisions on roads. Sentence C too talks of fatal collisions. So the link between sentence B and C is clear.
Now between sentences A and D, we see that D relates to the idea of cars as predators. It describes cars prowling streets, “growling in revving ravenousness". Indeed, D adds to sentence B in the description of cars as apex predators. BDC forms a cogent paragraph.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence A.

Method of solving this Question from Sentence Elimination:
Let us look at the links between the sentences. Both sentences B and C talk about the Subramanian committee. Now, sentence B states that the committee has rightly noted that the “worst scenario for farmers" is the weak government procurement policy combined with restrictions on exports and stock-holding. Sentence C talks of the volatility in production and prices of pulses being shown by the report as higher than that of cereals. These sentences talk of two different ideas. Does A or D provide a link? Neither sentence A, which talks of the projected demand nor sentence D which talks of how pulses help in soil rejuvenation seems to fit in with C and B.
Now, sentence C tells us that the volatility in production and prices is “neither in the interests of the producers nor the consumers". Sentence A clarifies why this is not in the interest of the consumers. The demand is set to rise dramatically. Also, sentence A says that farmers need to be encouraged to grow more pulses “not simply" because of the projected demand. What other reason exists for encouraging farmers to grow pulses? Sentence D answers this question. Pulses help in soil rejuvenation and fix atmospheric nitrogen, without consuming much water. So it is also in the interest of the producers to grow more pulses. CAD forms cogent paragraph. The idea is that growing pulses is beneficial to both producers and consumers.
Sentence B talks about procurement and export/stock-holding restrictions.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence B.

Method of solving this Question from Sentence Elimination:
Sentence C talks of the Nefertiti bust in Berlin being ‘one of the world’s great icons of beauty’. We can see that sentence A too talks of this sculpture, and evidence found to suggest that the sculptor might have made adjustments to depict the ‘Beauty of the Nile’ in better light.
Now sentence B and D seem to form a unit, both referring to a new rendering i.e. a replica at the entrance of the Egyptian city of Samalut, which is "colossally awful" and "might scare people".
While neither sentence B nor D fits with A and C to form a cogent unit, we can see that CBD does form a logical sequence. Sentence C talks of the Nefertiti bust in Berlin made in the Amarna style. Sentence B talks of a new rendering that attempts, unsuccessfully, to re-create this style. Sentence D talks of this ugly replica being pulled down by Egyptians as the ‘way forward’ to ‘topple art that’s an insult to our public spaces’.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence A.

Method of solving this Question from Sentence Elimination:
Sentence A declares that the Constitution is “external to society" and has only an advisory relationship with it. None of the other sentences carries forward or links to this idea.
On the other hand, we see right away that sentences C and D relate to the same idea—that the Constitution presumes “the people" to be a unified and homogenous collectivity and is hence unable to acknowledge “obstinate realities" like caste, as this is tantamount to confessing that the republic is not a reality.
Sentence B talks about something not being a “defect", as the Constitution is required to put the people in the best light. What is being referred to here? The fact mentioned in sentence D – that the Constitution treats what it hopes to achieve as if it was already an established fact – is the only one that fits with this statement.
To summarize, the Constitution presumes “the people" to be one unified unit, thereby treating what it hopes to achieve as an established fact. Nevertheless, this cannot be called a defect, as the Constitution is, after all, supposed to put the country in the best possible light. Yet, this also makes it difficult for the Constitution to directly confront divisive realities such as caste. DBC makes a cogent paragraph.
The question is " Choose the Sentence that does not fit in "
Hence, the answer is Sentence A.