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CAT 2018
List of top Questions asked in CAT- 2018
The area of a rectangle and the square of its perimeter are in the ratio 1 : 25. Then the lengths of the shorter and longer sides of the rectangle are in the ratio
CAT - 2018
CAT
Quantitative Aptitude
Ratio and Proportion
In an examination, the maximum possible score is N while the pass mark is 45% of N. A candidate obtains 36 marks, but falls short of the pass mark by 68%. Which one of the following is then correct?
CAT - 2018
CAT
Quantitative Aptitude
Taylor’s theorem
The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. The ratio of the strength of D to that of A is
CAT - 2018
CAT
Quantitative Aptitude
Ratio and Proportion
If log 2(5+log3a)=3 and log5(4a+12+log2b) = 3, then a+b is equal to
CAT - 2018
CAT
Quantitative Aptitude
Logarithms
Raju and Lalitha originally had marbles in the ratio 4:9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5:6. What fraction of her original number of marbles was given by Lalitha to Raju?
CAT - 2018
CAT
Quantitative Aptitude
Ratio
Given an equilateral triangle T1 with side 24 cm, a second triangle T2 is formed by joining the midpoints of the sides of T1. Then a third triangle T3 is formed by joining the midpoints of the sides of T2. If this process of forming triangles is continued, the sum of the areas, in sq cm, of infinitely many such triangles T1, T2, T3,... will be
CAT - 2018
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
If x is a positive quantity such that 2x = 3log52, then x is equal to
CAT - 2018
CAT
Quantitative Aptitude
Logarithms
A trader sells 10 litres of a mixture of paints A and B, where the amount of B in the mixture does not exceed that of A.The cost of paint A per litre is Rs. 8 more than that of paint B. If the trader sells the entire mixture for Rs. 264 and makes a profit of 10%, then the highest possible cost of paint B, in Rs. per litre, is
CAT - 2018
CAT
Quantitative Aptitude
Mixture Problems
The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is
CAT - 2018
CAT
Quantitative Aptitude
Ratio and Proportion
The smallest integer n for which 4n > 1719 holds, is closest to
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
A 20% ethanol solution is mixed with another ethanol solution, say, S of unknown concentration in the proportion 1:3 by volume. This mixture is then mixed with an equal volume of 20% ethanol solution. If the resultant mixture is a 31.25% ethanol solution, then the unknown concentration of S is
CAT - 2018
CAT
Quantitative Aptitude
Mixture Problems
Train T leaves station X for station Y at 3 pm. Train S, traveling at three quarters of the speed of T, leaves Y for X at 4 pm. The two trains pass each other at a station Z, where the distance between X and Z is three-fifths of that between X and Y. How many hours does train T take for its journey from X to Y?
CAT - 2018
CAT
Quantitative Aptitude
Time, Speed and Distance
On a long stretch of east-west road, A and B are two points such that B is 350 km west of A. One car starts from A and another from B at the same time. If they move towards each other, then they meet after 1 hour. If they both move towards east, then they meet in 7 hrs. The difference between their speeds, in km per hour, is
CAT - 2018
CAT
Quantitative Aptitude
Time, Speed and Distance
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. The distance, in km, between car 2 and B when car 1 reaches B is
CAT - 2018
CAT
Quantitative Aptitude
Time, Speed and Distance
If N and x are positive integers such that NN= 2160 and N2+2N is an integral multiple of 2x, then the largest possible x is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the product went up by 720. Then the minimum possible value of the sum of squares of the other two numbers is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
The number of integers x such that 0.25 < 2x < 200, and 2x +2 is perfectly divisible by either 3 or 4, is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
The smallest integer n such that n3 - 11n2 + 32n - 28 > 0 is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
How many numbers with two or more digits can be formed with the digits 1,2,3,4,5,6,7,8,9, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
The passage given below is followed by four summaries. Choose the option that best captures the author’s position:
A Japanese government panel announced that it recommends regulating only genetically modified organisms that have had foreign genes permanently introduced into their genomes and not those whose endogenous genes have been edited. The only stipulation is that researchers and businesses will have to register their modifications to plants or animals with the government, with the exception of microbes cultured in contained environments. Reactions to the decision are mixed. While lauding the potential benefits of genome editing, an editorial opposes across-the-board permission. Unforeseen risks in gene editing cannot be ruled out. All genetically modified products must go through the same safety and labeling processes regardless of method.
CAT - 2018
CAT
Verbal Ability & Reading Comprehension (VARC)
Para Summary
The passage given below is followed by four summaries. Choose the option that best captures the author’s position.
Should the moral obligation to rescue and aid persons in grave peril, felt by a few, be enforced by the criminal law? Should we follow the lead of a number of European countries and enact bad Samaritan laws? Proponents of bad Samaritan laws must overcome at least three different sorts of obstacles. First, they must show the laws are morally legitimate in principle, that is, that the duty to aid others is a proper candidate for legal enforcement. Second, they must show that this duty to aid can be defined in a way that can be fairly enforced by the courts. Third, they must show that the benefits of the laws are worth their problems, risks and costs.
CAT - 2018
CAT
Verbal Ability & Reading Comprehension (VARC)
Para Summary
The passage given below is followed by four summaries. Choose the option that best captures the author’s position.
The early optimism about sport's deterrent effects on delinquency was premature as researchers failed to find any consistent relationships between sports participation and deviance. As the initial studies were based upon cross-sectional data and the effects captured were short-term, it was problematic to test and verify the temporal sequencing of events suggested by the deterrence theory. The correlation between sport and delinquency could not be disentangled from class and cultural variables known. Choosing individuals to play sports in the first place was problematic, which became more acute in the subsequent decades as researchers began to document just how closely sports participation was linked to social class indicators.
CAT - 2018
CAT
Verbal Ability & Reading Comprehension (VARC)
Para Summary
The passage given below is followed by four summaries. Choose the option that best captures the author’s position.
The conceptualization of landscape as a geometric object first occurred in Europe and is historically related to the European conceptualization of the organism, particularly the human body, as a geometric object with parts having a rational, three-dimensional organization and integration. The European idea of landscape appeared before the science of landscape emerged, and it is no coincidence that Renaissance artists such as Leonardo da Vinci, who studied the structure of the human body, also facilitated an understanding of the structure of landscape. Landscape which had been a subordinate background to religious or historical narratives, became an independent genre or subject of art by the end of sixteenth century or the beginning of the seventeenth century.
CAT - 2018
CAT
Verbal Ability & Reading Comprehension (VARC)
Para Summary
The passage given below is followed by four summaries. Choose the option that best captures the author’s position.
Artificial embryo twinning is a relatively low-tech way to make clones. As the name suggests, this technique mimics the natural process that creates identical twins. In nature, twins form very early in development when the embryo splits in two. Twinning happens in the first days after egg and sperm join, while the embryo is made of just a small number of unspecialized cells. Each half of the embryo continues dividing on its own, ultimately developing into separate, complete individuals. Since they developed from the same fertilized egg, the resulting individuals are genetically identical.
CAT - 2018
CAT
Verbal Ability & Reading Comprehension (VARC)
Para Summary
Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out. Choose its number as your answer and key it in.
1. Translators are like bumblebees.
2. Though long since scientifically disproved, this factoid is still routinely trotted out.
3. Similar pronouncements about the impossibility of translation have dogged practitioners since Leonardo Bruni’s De interpretatione recta, published in 1424.
4. Bees, unaware of these deliberations, have continued to flit from flower to flower, and translators continue to translate.
5. In 1934, the French entomologist August Magnan pronounced the flight of the bumblebee to be aerodynamically impossible.
CAT - 2018
CAT
Verbal Ability & Reading Comprehension (VARC)
Jumbled Paragraphs
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