Practice Test for IIFT - 3 - CAT MCQ

Mohan has three wires of the same length. He forms a square S, a rectangle R₁ and a rectangle R₂ of the three wires. R₁ has one side of length 8 cm, and R₂ has one side of length 10 cm. The area of S exceeds the area of R₁ by 9 cm², & the area of S exceeds the area of R₂ by 1 cm². What is the length of the wires?

Find the value of x from the following equation: Log₁₀ 3 + log₁₀(4x + l) = log₁₀(x + 1) + 1

If log₃y = 100 and log_yx = 100, then the value of x is:

If 2, a, b, c, d, e, f and 65 form an arithmetic progression, find out the value of ‘e’. 

A contract is to be completed in 56 days and 104 men are set to work, each working 8 hours a day. After 30 days, 2/5th of the work is finished. How many additional men may be employed so that work may be completed on time, each man now working 9 hours per day?

In a circle, the height of an arc is 21 cm and the diameter is 84 cm. Find the chord of half of the arc?   

The ratio of number of male and female journalists in a newspaper office is 5: 4. The newspaper has two sections, political and sports. If 30 percent of the male journalists and 40 percent of the female journalists are covering political news, what percentage of the journalists (approx.) in the newspaper is currently involved in sports reporting?

In an examination paper of 5 questions, 5% of the candidates answered all of them and 5 % none. Of the rest 25% answered only 1 question and 20 % answered only 4 questions. If 24.5% of the entire candidates answered only 2 questions and 200 candidates answered only 3 questions, how many candidates appeared in the examination? 

Each of the numbers x₁, x₂, ...... x_n , n ≥ 4, is equal to 1 or —1. Suppose, 
x₁ X₂ X₃ X₄ + X₂ X₃ X₄ X₅ + X₃ X₄ X₅ X_{6 ......}  X_n-3 X_n-2 X_n-1 X_n + X_n-2 X_n-1 X_n X₁+ X_n-1X_n X₁X₂ + X_n X₁ X₂ X₃ =0, then

Two runners A, B starts simultaneously from the two points where the circle x² + y² = 16 cut the X-axis. The speeds of A, B is in the ratio 2: 1 and they are moving in the opposite directions.The coordinates of the point where they meet for the first time is

DIRECTIONS for the question: Solve the following question and mark the best possible option.

The surface area of a spherical balloon is increasing at the rate of 2cm²/sec. At what rate per second is the volume of the balloon increasing when the radius of the balloon is 6 cm?

Mr. Akshay stays in a triangular colony. He stays at one vertex, with a bank and a market at the other two vertices. The roads meeting at the market are at 90. Akshay goes to the bank from his home and then to the market totally covering 160 m. He then walks straight back home from the market. If distance from home to bank is 40 m more than what he covered from bank to market, find the distance he walked from market to home.

In two alloys, copper and zinc are mixed in the ratios of 4 : 1 and 1 : 3. 10 kg of 1st  alloy, 16 kg of 2nd alloy and some of pure copper are melted together. An alloy was obtained in which the ratio of copper to zinc was 3 : 2. Find the weight of the new alloy. 

An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?

ABCD is a rectangle with AB = 6 cm and AD = 8 cm. QR is an arc centered at A which cuts the extension of AD at Q and AB at R. What is the length of the arc QR if C is a point on it?

y = p/q where 3 ≤ p ≤ 9 and 15 ≤ q ≤ 21, then y lies between 

If , Where c < a < b and a, b and c are real numbers, what is the minimum value of n?

A sum of money is sufficient to pay A’s wages for 18 days and B’s wages for 27 days. The money is sufficient to pay the wages of both for:

Let a, b, c, d be four integers such that a + b + c + d = 4m + 1 where m is a positive integer. Given m, which one of the following is necessarily true?

DIRECTIONS for the question: Solve the following question and mark the best possible option.

Boston is 4 hours ahead of Frankfurt and 2 hours behind India. X leaves Frankfurt at 6 p.m. on Friday and reaches Boston the next day. After waiting there for 2 hours, he leaves exactly at noon and reaches India at 1 a.m.on Sunday. On his return journey, he takes the same route as before, but halts at Boston for 1hour less than his previous halt there. He then proceeds to Frankfurt.

Q. If his journey, including stoppage, is covered at an average speed of 180 mph, what is the distance between Frankfurt and India? 

DIRECTIONS for the question: Solve the following question and mark the best possible option.

Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.

Q. The initial amount in rupees, deposited by Ghosh Babu was:

Ramlal was towing a rubber dinghy by motorboat from town A to town B upstream. At the half way mark, the tow line snapped and the dinghy started drifting downstream. Ramlal realised this when he reached town B. He immediately turned back and travelling at 125% of his former speed, caught up with the dinghy 10 km before town A. It is given that speed of boat in still water remains same on return journey as it was in onward journey. The motorboat’s speed in still water was what percent greater than the speed of the stream? 

DIRECTIONS for the question: Read the passage and answer the question based on it. 

For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation. After reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English. The underlined areas in the passage along with the [number] direct you to the question concerned

Many expectations are implicit. They haven’t been explicitly stated or announced, but people nevertheless bring them to a particular situation.(1) In marriage, for example, a man and woman have implicit expectations of each other in their marriage roles. Although these expectations have not been discussed, or sometimes even recognized by the person who has them, fulfilling them makes great (2) deposits in the society and violating them makes withdrawals.

That’s why it’s so important whenever you come into a new situation to get all the expectations out on the table. (3) People  judge each other based on expectations. And if they feel like their basic expectations have been violated, the reserve of trust is diminished. We create many negative situations by simply assuming that our expectations are self-evident and that they are clearly understood and shared by other people.

The deposit is to make the expectations clear and explicit in the beginning. This takes a real investment of time and effort up front, but it saves great amounts of time (4) and effort down the road. When expectations are not clear and shared, people begin to become emotionally involved and simple misunderstandings become compounded, turning into personality clashes and communication breakdowns.

(5) Really seeking to understand another person is probably one of the most important deposits you can make. Clarifying expectations sometimes takes a great deal of courage, it seems easier to act as though differences don’t exist and to hope things will work out than it is to face the differences and work together to arrive at a mutually agreeable set of expectations. 

Q. Identify the best possible change in the underlined sentence (1)

DIRECTIONS for the question: Read the passage and answer the question based on it. 

For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation. After reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English. The underlined areas in the passage along with the [number] direct you to the question concerned

Many expectations are implicit. They haven’t been explicitly stated or announced, but people nevertheless bring them to a particular situation.(1) In marriage, for example, a man and woman have implicit expectations of each other in their marriage roles. Although these expectations have not been discussed, or sometimes even recognized by the person who has them, fulfilling them makes great (2) deposits in the society and violating them makes withdrawals.

That’s why it’s so important whenever you come into a new situation to get all the expectations out on the table. (3) People  judge each other based on expectations. And if they feel like their basic expectations have been violated, the reserve of trust is diminished. We create many negative situations by simply assuming that our expectations are self-evident and that they are clearly understood and shared by other people.

The deposit is to make the expectations clear and explicit in the beginning. This takes a real investment of time and effort up front, but it saves great amounts of time (4) and effort down the road. When expectations are not clear and shared, people begin to become emotionally involved and simple misunderstandings become compounded, turning into personality clashes and communication breakdowns.

(5) Really seeking to understand another person is probably one of the most important deposits you can make. Clarifying expectations sometimes takes a great deal of courage, it seems easier to act as though differences don’t exist and to hope things will work out than it is to face the differences and work together to arrive at a mutually agreeable set of expectations. 

Q. Identify from the given options that best revises the underlined sentence (2) to improve the expression of the idea.

DIRECTIONS for the question: Read the passage and answer the question based on it. 
For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation. After reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English. The underlined areas in the passage along with the [number] direct you to the question concerned

Many expectations are implicit. They haven’t been explicitly stated or announced, but people nevertheless bring them to a particular situation.(1) In marriage, for example, a man and woman have implicit expectations of each other in their marriage roles. Although these expectations have not been discussed, or sometimes even recognized by the person who has them, fulfilling them makes great (2) deposits in the society and violating them makes withdrawals.

That’s why it’s so important whenever you come into a new situation to get all the expectations out on the table. (3) People  judge each other based on expectations. And if they feel like their basic expectations have been violated, the reserve of trust is diminished. We create many negative situations by simply assuming that our expectations are self-evident and that they are clearly understood and shared by other people.

The deposit is to make the expectations clear and explicit in the beginning. This takes a real investment of time and effort up front, but it saves great amounts of time (4) and effort down the road. When expectations are not clear and shared, people begin to become emotionally involved and simple misunderstandings become compounded, turning into personality clashes and communication breakdowns.

(5) Really seeking to understand another person is probably one of the most important deposits you can make. Clarifying expectations sometimes takes a great deal of courage, it seems easier to act as though differences don’t exist and to hope things will work out than it is to face the differences and work together to arrive at a mutually agreeable set of expectations. 

Q. Identify the best possible change from the given options for the underlined sentence (3)

DIRECTIONS for the question : Read the passage and answer the question based on it. 
For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation. After reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English. The underlined areas in the passage along with the [number] direct you to the question concerned

Many expectations are implicit. They haven’t been explicitly stated or announced, but people nevertheless bring them to a particular situation.(1) In marriage, for example, a man and woman have implicit expectations of each other in their marriage roles. Although these expectations have not been discussed, or sometimes even recognized by the person who has them, fulfilling them makes great (2) deposits in the society and violating them makes withdrawals.

That’s why it’s so important whenever you come into a new situation to get all the expectations out on the table. (3) People  judge each other based on expectations. And if they feel like their basic expectations have been violated, the reserve of trust is diminished. We create many negative situations by simply assuming that our expectations are self-evident and that they are clearly understood and shared by other people.

The deposit is to make the expectations clear and explicit in the beginning. This takes a real investment of time and effort up front, but it saves great amounts of time (4) and effort down the road. When expectations are not clear and shared, people begin to become emotionally involved and simple misunderstandings become compounded, turning into personality clashes and communication breakdowns.

(5) Really seeking to understand another person is probably one of the most important deposits you can make. Clarifying expectations sometimes takes a great deal of courage, it seems easier to act as though differences don’t exist and to hope things will work out than it is to face the differences and work together to arrive at a mutually agreeable set of expectations. 

Q. Identify from the given options that best revises the underlined sentence (4) to improve the expression of the idea.

DIRECTIONS for the question : Read the passage and answer the question based on it. 
For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation. After reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English. The underlined areas in the passage along with the [number] direct you to the question concerned

Many expectations are implicit. They haven’t been explicitly stated or announced, but people nevertheless bring them to a particular situation.(1) In marriage, for example, a man and woman have implicit expectations of each other in their marriage roles. Although these expectations have not been discussed, or sometimes even recognized by the person who has them, fulfilling them makes great (2) deposits in the society and violating them makes withdrawals.

That’s why it’s so important whenever you come into a new situation to get all the expectations out on the table. (3) People  judge each other based on expectations. And if they feel like their basic expectations have been violated, the reserve of trust is diminished. We create many negative situations by simply assuming that our expectations are self-evident and that they are clearly understood and shared by other people.

The deposit is to make the expectations clear and explicit in the beginning. This takes a real investment of time and effort up front, but it saves great amounts of time (4) and effort down the road. When expectations are not clear and shared, people begin to become emotionally involved and simple misunderstandings become compounded, turning into personality clashes and communication breakdowns.

(5) Really seeking to understand another person is probably one of the most important deposits you can make. Clarifying expectations sometimes takes a great deal of courage, it seems easier to act as though differences don’t exist and to hope things will work out than it is to face the differences and work together to arrive at a mutually agreeable set of expectations. 

Q. The writer is considering deleting the underlined sentence (5). Should the sentence be kept or deleted?