# 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$$-16$$... 0 answers 2 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... 0 answers 3 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... 0 answers 4 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$... 0 answers 5 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... 0 answers 6 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$None of these 0 answers 7 In the figure alongside,$\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}$extended such that ... 0 answers 8 In the figure alongside,$\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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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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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$$30 0 answers 13 There are two water drums in my house whose volumes are in the ratio 1: 5. Every day the smaller drum is filled first and then the same pipe is used to fill the bigger ... 0 answers 14 Two cars \text{A} and \text{B} start from two points \text{P} and \text{Q} respectively towards each other simultaneously. After travelling some distance, at a po... 0 answers 15 The graphs given alongside represent two functions f(x)\:\text{and}\:g(x) respectively. Which of the following is true? g(x)=[f(x)]$$g(x)=f(-x)$$g(x)=-f(x)None ... 0 answers 16 \text{A} is standing 5 m East and 4 m North of a point \text{P} while \text{B} is standing 15 m East and 24 m North of \text{P. A} walks at a speed of 1.... 0 answers 17 \text{A} is standing 5 m East and 4 m North of a point \text{P} while \text{B} is standing 15 m East and 24 m North of \text{P. A} walks at a speed of 1.... 0 answers 18 Consider the function given by f(x) =\mid x-1\mid-xWhat is the area of the triangle bounded by the graph of the given function with the coordinate axis given by x=0\:\... 0 answers 19 Rekha drew a circle of radius 2\;\text{cm} on a graph paper of grid 1\;\text{cm}\times1\;\text{cm}. She then calculated the area of the circle by adding up only the n... 0 answers 20 Rekha drew a circle of radius 2\;\text{cm} on a graph paper of grid 1\;\text{cm}\times1\;\text{cm}. She then calculated the area of the circle by adding up only the n... 0 answers 21 Study the following table and answer the questions that follow.Disbursement of Loans by Various Banks from 1982 to 1986 (In ₹ Crore)$$\begin{array}{|c|c|c|}\hline... 0 answers 22 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$y = 25$.... 0 answers 23 Study the following table and answer the questions that follow.Disbursement of Loans by Various Banks from$1982$to$1986$(In$₹$Crore)$$\begin{array}{|c|c|c|}\hline... 0 answers 24 Study the following table and answer the questions that follow.Disbursement of Loans by Various Banks from 1982 to 1986 (In ₹ Crore)$$\begin{array}{|c|c|c|}\hline... 0 answers 25 Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT$2005$If atleast$5\%$of the time ... 0 answers 26 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 ... 0 answers 27 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. ... 0 answers 28 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. ... 0 answers 29 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. ... 0 answers 30 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...