# Recent questions tagged cat2011

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$\begin{array}{}Let\;f_{n+1}(x)&=f_n(x)+1\;\text{if $n$ is a multiple of 3}\\ &=f_n(x)-1\;\text{otherwise.}\end{array}$If $f_1(1)=0$, then what is $f_{50}(1)$?$-18$$-16$$...

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Vaibhav wrote a certain number of positive prime numbers on a piece of paper. Vikram wrote down the product of all the possible triplets among those numbers. For every pa...

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On a plate in the shape of an equilateral triangle $\text{ABC}$ with area $16\sqrt 3\;\text{sq cm}$, a rod $\text{GD}$, of height $8\:\text{cm}$, is fixed vertically at t...

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Mohan is a carpenter who specialises in making chairs. For every assignment he undertakes, he charges his commision and cost. His commission is fixed and equals $ ₹560$...

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Rajat draws a $10\times10$ grid on the ground such that there are $100$ identical squares numbered $1\:\text{to}\:100$. If he has to place two identical stones on any two...

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The values of the numbers $2^{2004}\:\text{and}\:5^{2004}$ are written one after another. How many digits are there in all?$4008$$2003$$2004$None of these

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In the figure alongside, $\text{O}$ is the centre of the circle and $\text{AC}$ is the diameter. The line $\text{FEG}$ is tangent to the circle at $\text{E}$. If $\angle ...

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In the figure alongside, $\triangle \text{ABC}$ is equilateral with area $\text{S. M}$ is the mid-point of $\text{BC and P}$ is a point on $\text{AM}$ extended such that ...

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Auto fare in Bombay is $₹\:2.40$ for the first $1\:\text{km}$,$₹\:2.00$ per km for the next $4\:\text{km}$ and $1.20$ for each additional km thereafter. Find the fare...

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One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks- the first was full of pure petrol while...

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Let $\text{S}_n$ denote the sum of the squares of the first $n$ odd natural numbers. If $\text{S}_n=533n,$ find the value of $n$.$18$$20$$24$$30$

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There are two water drums in my house whose volumes are in the ratio $1: 5$. Every day the smaller drum is filled first and then the same pipe is used to fill the bigger ...

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Two cars $\text{A}$ and $\text{B}$ start from two points $\text{P}$ and $\text{Q}$ respectively towards each other simultaneously. After travelling some distance, at a po...

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The graphs given alongside represent two functions $f(x)\:\text{and}\:g(x)$ respectively. Which of the following is true?$g(x)=[f(x)]$$g(x)=f(-x)$$g(x)=-f(x)$None of thes...

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$\text{A}$ is standing $5$ m East and $4$ m North of a point $\text{P}$ while $\text{B}$ is standing $15$ m East and $24$ m North of $\text{P. A}$ walks at a speed of $1....

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Consider the function given by $f(x) =\mid x-1\mid-x$What is the area of the triangle bounded by the graph of the given function with the coordinate axis given by $x=0\:\...

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Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the n...

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Study the following table and answer the questions that follow.Disbursement of Loans by Various Banks from $1982$ to $1986$ (In $₹$ Crore)$$\begin{array}{|c|c|c|}\hline...

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Consider the function given by $f(x) =\mid x-1\mid-x$Which of the following is not true about the graph of $f(x)$?A portion of the graph is parallel to the line $y = 25$....

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Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT $2005$ ...

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Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT $2005$The number of areas of study ...

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When Munna Bhai joined the university of South Ghatkopar for his M.S., Mr. Irani, his professor, asked him to prove his calibre in a test conducted for the entire class. ...

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Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT $2005$At the most what percentage o...

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Sentences given in the question, when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical oder of sentences from...

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Given below are sentences, each using the question word different ways. Identify the sentence which uses the question word in a grammatically incorrect manner.HappenAccep...

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In the following question, four different sentences are given. Choose the option that contains the grammatically incorrect sentence/s.He is feeling that this relocation i...

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The question given below consists of a sentence which is divided into four parts, numbered (A) through (D). Only one part in the sentence is not acceptable in standard wr...

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Each question consists of sentences, which have one or two blanks, each blank indicating that something has been omitted. Below each sentence are four numbered words or s...

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In the given question, all the sentences except one sentence,when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the sentenc...

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Sentences given in the question, when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences fro...

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Given below is a paragraph whose last line is missing. Choose the line which completes the paragraph most logically from the options given below.The remake the world (inc...

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Given below is a paragraph whose last line is missing. Choose the line which completes the paragraph most logically from the options given below.So the unpleasant shocks ...

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Given below is a paragraph whose last line is missing. Choose the line which completes the paragraph most logically from the options given below.The real change in corpor...