CAT Practice Test: Week 7 - CAT MCQ

A vessel is full of a mixture of liquor and water with 18% liquor. Eight litres are drawn of and then the vessel is filled with water. How much does the vessel hold if the liquor is now 15%?

Six gallons of wine is drawn from a cask and is replaced by six gallons of water. Six gallons of the mixture is drawn and again replaced by six gallons of water. If the ratio of wine to water in the cask is now 81 : 19, then how much wine was in the cask at first?  

We have two solutions of milk - A and B. Solution A contains milk and water in the ratio of 1 : 3 and solution B contains the same in the ratio of 2 : 3. If we mix both in equal quantities, then what is the ratio of milk and water in the new solution?

A lump of two metals weighing 18 grams is worth Rs. 74, but if their weights are interchanged, it would be worth Rs. 60.10. If the price of gold is Rs. 7.20 per gram, then find the weight of the other metal in the mixture.  

We have two solutions of milk - A and B. Solution A contains milk and water in the ratio of 1 : 3 and solution B contains the same in the ratio of 2 : 3. If we mix both in equal quantities, then what is the ratio of milk and water in the new solution?

An alloy contains zinc and tin in the ratio of 3 : 4. Another alloy contains zinc and silver in the ratio of 4 : 3. If both of these alloys are melted and mixed in equal ratios, then what will be the ratio of zinc and tin in the new alloy?

Two liquids A and B are in the ratio 5 : 1 in container X and in the ratio 1 : 3 in container Y. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?

Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start ?

A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?

A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?

A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?

In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate ?

A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?

A bird shooter was askgd how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?

Mr. Johnson was to earn � 300 and a free holiday for seven weeks' work. He worked for only 4 weeks and earned � 30 and a free holiday. What was the value of the holiday?

What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?

If sentence (3), 'India must be mindful, therefore, that in welcoming the U.S.'s categorisations of its security threats, it doesn't unthinkingly get swept into an American clinch' is the first sentence, what is the order of other sentences after rearrangement?

1. It would be wise to await a stabilisation in Mr. Trump's policies, or at least concrete action to back its words.
2. While the U.S. strategy deals with global concerns, the past year has seen American withdrawal from pacts ranging from the Trans-Pacific Partnership to the Paris agreement on climate change.
3. India must be mindful, therefore, that in welcoming the U.S.'s categorisations of its security threats, it doesn't unthinkingly get swept into an American clinch.
4. For example, while the U.S. has talked of countering China's influence in South Asia, it has not backed this with actual financial assistance for infrastructure critical to the region.
5. To begin with, the U.S. articulation of its perceived challenges has swung wildly over the past year of the Trump administration.
6. Equally, while Mr. Trump's words on Pakistan and terrorism are sharp, the U.S. has yet to show its hand, either in terms of military action or withholding of coalition support funds.

Directions: Starter to the following paragraph has been correctly provided in statement I. However, the other sentences in the paragraph have been jumbled up. Rearrange the sentences, such as to make coherent sense.

I. There may be much in Lucka's theories which will rouse the scepticism of the monists; some of his deductions may appear to his readers a little strained, but no thinking man or woman can read his brilliant Conclusion without denying him the tribute of sincere admiration.
A. The normal, healthy school-boy, preferring the company of his school-fellows to all others, shunning his mother and sisters, ashamed of his female relatives, is the modern individual representative of those early leagues and unions of young men who opposed matriarchy and finally brought about its overthrow and the establishment of male government.
B. As the human embryo passes through the principal stages of the development of the individual from lower forms of life, so the growing male must pass through the stages of psychical development through which the race has passed.
C. The gynecocratic government of prehistoric time is revived in the nursery, where the mother rules supreme and the sisters dominate.
D. In this last chapter he applies Haeckel's biogenetic law to the domain of the spirit.

Directions: Starter to the following paragraph has been correctly provided in statement I. However, the other sentences in the paragraph have been jumbled up. Rearrange the sentences, such as to make coherent sense.

I. We all know that savage nations accompany their dances by striking one object with another, sometimes by a clanking of stones, the pounding of wood, or perhaps the clashing of stone spearheads against wooden shields, meaning thus to express something that words cannot.
A. This more or less rhythmic clanking of stones together, the striking of wooden paddles against the side of a canoe, or the clashing of stone spearheads against wooden shields, could not constitute the first musical instrument, but certainly the first lessons in the human sense of of rhythm.
B. The sense of rhythm is highly developed even among those savage tribes which stand the lowest in the scale of civilization to-day.
C. This meaning changed naturally from its original one of being the simple expression of fear to that of welcoming a chieftain; we may still see a shadowy reminiscence of it in the manner in which the violinists of an orchestra applaud an honoured guest at one of our symphony concerts by striking the backs of their violins with their bows.
D. While this clashing of one object against another could not be called the beginning of music, and while it could not be said to originate a musical instrument, it did, nevertheless, bring into existence music's greatest prop, rhythm, an ally without which music would seem to be impossible.

Directions: Rearrange the following five sentences in the proper sequence to form a coherent paragraph, and then answer the question given below.

(i) If no evil had existed in this world, man would never have dreamt of those numerous divinities to which he has rendered such various modes of worship.
(ii) The man, always contented, would only have occupied himself with satisfying his wants; with enjoying the present, with feeling the influence of objects, that would unceasingly warn him of his existence in a mode that he must necessarily approve; nothing would alarm his heart; everything would be analogous to his existence.
(iii) These feelings can only be the consequence of some troublesome sensation, which must have previously affected him, or which by disturbing the harmony of his machine, has interrupted the course of his happiness; which has shown him he is naked.
(iv) He would neither know fear, experience distrust, nor have in quietude for the future.
(v) If nature had permitted him easily to satisfy all his regenerating wants, if she had given him none but agreeable sensations, his days would have uninterruptedly rolled on in perpetual uniformity; he would never have discovered his own nakedness.

Q. Which of the following should be the FIFTH sentence after rearrangement?

Directions: Rearrange the following five sentences in the proper sequence to form a coherent paragraph, and then answer the question given below.

(i) If no evil had existed in this world, man would never have dreamt of those numerous divinities to which he has rendered such various modes of worship.
(ii) The man, always contented, would only have occupied himself with satisfying his wants; with enjoying the present, with feeling the influence of objects, that would unceasingly warn him of his existence in a mode that he must necessarily approve; nothing would alarm his heart; everything would be analogous to his existence.
(iii) These feelings can only be the consequence of some troublesome sensation, which must have previously affected him, or which by disturbing the harmony of his machine, has interrupted the course of his happiness; which has shown him he is naked.
(iv) He would neither know fear, experience distrust, nor have in quietude for the future.
(v) If nature had permitted him easily to satisfy all his regenerating wants, if she had given him none but agreeable sensations, his days would have uninterruptedly rolled on in perpetual uniformity; he would never have discovered his own nakedness.

Q. Which of the following should be the SECOND sentence after rearrangement?

Directions: Four statements are given below, labelled 1, 2, 3, 4. Among these, three statements are in logical order and form coherent paragraph. From the given options, choose the option that does not fit into the theme of the paragraph.

If sentence (5), 'Whenever people who are willing to sell a commodity contact people who are willing to buy it, a market for that commodity is created' is the first sentence, what is the order of other sentences after rearrangement?

1. It can be said, however, that the price ruling in a market indicates the point where supply and demand meet.
2. They may meet in person, or they may communicate in some other way: by telephone or through their agents.
3. Here, there can be only one price for any given commodity: the lowest price which sellers will accept and the highest which consumers will pay.
4. But there are no really perfect markets, and each commodity market is subject to special conditions.
5. Whenever people who are willing to sell a commodity contact people who are willing to buy it, a market for that commodity is created.
6. In a perfect market, communications are easy, buyers and sellers are numerous and competition is completely free.

  Directions: In the following question, five statements are provided. These statements form a coherent paragraph when properly arranged. Select the alternative representing the proper and logical sequencing of these statements in the question.

1. The adoption in the House of Commons of an amendment to the draft bill on Britain's withdrawal from the European Union has handed Prime Minister Theresa May a stinging defeat.
2. The significance of that role cannot be exaggerated, given that the residency status of millions of U.K. and EU citizens in a post-Brexit scenario are at stake, besides London's financial liabilities to the bloc.
3. But the legislative development on Wednesday, with Conservative rebels joining ranks with Labour and Liberal Democrat MPs, is an important guarantee of parliamentary scrutiny over the shape of London's future relationship with the EU.
4. The provision will ensure that legislators have a voice in finalising the terms of the exit agreement.
5. No less vital is the future of the border separating Northern Ireland from the Irish Republic.

Directions: Four statements are given below, labelled 1, 2, 3, 4 . Among these, Three statements are in logical order and form coherent paragraph. From the given options, choose the option that does not fit into the theme of the paragraph.

Directions: In the following question, five statements are provided. These statements form a coherent paragraph when properly arranged. Select the alternative representing the proper and logical sequencing of these statements in the question.

1. While some of this food inflation could wane in the coming months, there is greater concern about the rise in core inflation (excluding food and fuel) and inflation imported through high global prices.
2. This reflects a broad-based price rise under way, although it is led by fuel inflation (at 7.2%, from 6.1% a month ago) and food inflation (4.4%, from 1.9% in October).
3. If the spectre of slower growth with weak exports at a time when global trade is recovering is not worrying enough, with job creation still to pick up, the latest inflation data set too is cause for concern.
4. Prices at the consumer level rose at the fastest pace in 15 months this November, with inflation touching 4.88%, up from 3.6% in October and just 1.5% in June.
5. Within food, rising onion and tomato prices pushed vegetable inflation to a 16-month high of 22.5%; inflation in egg prices quickened from 0.8% in October to 8% in November.