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41

CAT 2022 Set-1 | Quantitative Aptitude | Question: 17
Ankita buys $4 \mathrm{~kg}$ cashews, $14 \mathrm{~kg}$ peanuts and $6 \mathrm{~kg}$ almonds when the cost of $7 \mathrm{~kg}$ cashews is the same as that of $30 \mathrm{~kg}$ peanuts or $9 \mathrm{~kg}$ almonds. She mixes ... total profit of ₹ $744$. Then the amount, in rupees, that she had spent in buying almonds is $2520$ $1176$ $1680$ $1440$

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42

CAT 2022 Set-1 | Quantitative Aptitude | Question: 18
For natural numbers $x, y$, and $z$, if $x y+y z=19$ and $y z+x z=51$, then the minimum possible value of $x y z$ is

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43

CAT 2022 Set-1 | Quantitative Aptitude | Question: 19
Let $0 \leq a \leq x \leq 100$ and $f(x)=|x-a|+|x-100|+|x-a-50|$. Then the maximum value of $f(x)$ becomes $100$ when $a$ is equal to $0$ $25$ $100$ $50$

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44

CAT 2022 Set-1 | Quantitative Aptitude | Question: 20
For any real number $x$, let $[x]$ be the largest integer less than or equal to $x$. If $\sum_{n=1}^{N}\left[\frac{1}{5}+\frac{n}{25}\right]=25$ then $N$ is

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45

CAT 2022 Set-1 | Quantitative Aptitude | Question: 21
For any natural number $n$, suppose the sum of the first $n$ terms of an arithmetic progression is $\left(n+2 n^{2}\right)$. If the $n^{\text {th }}$ term of the progression is divisible by $9$ , then the smallest possible value of $n$ is $8$ $7$ $4$ $9$

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46

CAT 2022 Set-1 | Quantitative Aptitude | Question: 22
The number of ways of distributing $20$ identical balloons among $4$ children such that each child gets some balloons but no child gets an odd number of balloons, is

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47

CAT 2014 | Question: 50
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $S_{2}$, the $n$th ... arithmetic progression with a common difference of $30$. What is the sum of series $S_{2}$? $10$ $20$ $30$ $40$

Anjana5051 asked in Quantitative Aptitude Jul 16, 2022

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48

CAT 2014 | Question: 49
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $S_{2}$, the $n$th term ... $30$. What is the average value of the terms of series $S_{1}$? $60$ $70$ $80$ Average is not an integer

Anjana5051 asked in Quantitative Aptitude Jul 16, 2022

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49

CAT 2014 | Question: 48
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $S_{2}$, the $n$th ... common difference of $30$. What is the difference between second and fourth terms of $S_{1}$? $10$ $20$ $30$ $60$

Anjana5051 asked in Quantitative Aptitude Jul 16, 2022

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50

venn diagram
A survey is conducted among $275$ families. $100$ families among them use air condition (A.C.) $70$ families use only coolers, $60$ families use only AC and $80$ families use only fan. $10$ families use all three and $10$ families use none of these. How many people use either a cooler or an AC? 185 190 205 cannot be determined

Anjana5051 asked in Quantitative Aptitude Jul 16, 2022

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51

venn diagram
A survey is conducted among $106$ people. Among them $47$ people have dogs, $58$ people have cats and $38$ people have parrots. $16$ people have both a dog and cat, $15$ people have both cat and parrot and $17$ people have both a parrot and dog. Each of them has at least one of the pets. How many people have people have either a dog or a parrot but not a cat? $37$ $15$ $23$ $20$

Anjana5051 asked in Quantitative Aptitude Jul 14, 2022

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52

venn diagram
A survey is conducted among $106$ people. Among them $47$ people have dogs, $58$ people have cats and $38$ people have parrots. $16$ people have both a dog and cat, $15$ people have both cat and parrot and $17$ people have both a parrot and dog. Each of them has at least one of the pets. How many people have only dog? $37$ $15$ $23$ $20$

Anjana5051 asked in Quantitative Aptitude Jul 14, 2022

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53

CAT 2001 | Question: 50
Answer the following questions based on the information given below. The petrol consumption rate of a new model car 'Palto' depends on its speed and may be described by the graph below. Manasa would like to minimize the fuel consumption for the trip ... should she change the speed? Increase the speed Decrease the speed Maintain the speed at $60$ km/hour Cannot be determined

Lakshman Bhaiya asked in Quantitative Aptitude Apr 9, 2022

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54

CAT 2001 | Question: 39
The batting average $\text{(BA)}$ of a test batsman is computed from runs scored and innings played-completed innings and incomplete innings (not out) in the following manner: $r_1$ = number of runs scored in completed innings; $n_1$ = number of completed ... will increase and not enough data is available to assess change in $\text{MBA}_1$ and $\text{MBA}_2$ None of these

Lakshman Bhaiya asked in Quantitative Aptitude Apr 9, 2022

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55

CAT 2003 | Question: 2-65
Consider a cylinder of height $h$ cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of $n$ turns (in other words, the ... drawn to scale). How is $h$ related to $n?$ $h=\sqrt{2}n$ $h=\sqrt{17}n$ $h=n$ $h=\sqrt{13}n$

Lakshman Bhaiya asked in Quantitative Aptitude Mar 31, 2022

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56

CAT 2003 | Question: 2-64
Consider a cylinder of height $h$ cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of $n$ turns (in other ... , not drawn to scale). The length of the string, in cms, is $\sqrt{2}n$ $\sqrt{12}n$ $n$ $\sqrt{13}n$

Lakshman Bhaiya asked in Quantitative Aptitude Mar 31, 2022

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57

CAT 2004 | Question: 64
Answer the questions on the basis of the information given below: In an examination, there are $100$ questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries $1$ mark, each question in group B carries $2$ ... the number of questions in group B? $11$ or $12$ $12$ or $13$ $13$ or $14$ $14$ or $15$

Lakshman Bhaiya asked in Quantitative Aptitude Mar 30, 2022

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58

CAT 2004 | Question: 62
Answer the questions on the basis of the information given below: $f_{1}(x) = \left\{\begin{matrix} x & 0 \leq x \leq 1 \\ 1 & x \geq 1 \\ 0 & \text{otherwise} \end{matrix}\right.$ $f_{2}(x) = f_{1}(-x) \;\; \text{for all} \; x $ ... $f_2(-x) = f_4(x) \: \text{for all }\;x$ $f_1(x) + f_3(x) = 0 \: \text{for all }\;x$

Lakshman Bhaiya asked in Quantitative Aptitude Mar 30, 2022

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59

CAT 2021 Set-3 | Quantitative Aptitude | Question: 1
Consider a sequence of real numbers $x_{1}, x_{2}, x_{3}, \dots $ such that $x_{n+1} = x_{n} + n – 1$ for all $n \geq 1.$ If $x_{1} = -1$ then $x_{100}$ is equal to $4950$ $4850$ $4849$ $4949$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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60

CAT 2021 Set-3 | Quantitative Aptitude | Question: 2
Anil can paint a house in $12 \; \text{days}$ while Barun can paint it in $16 \; \text{days}.$ Anil, Barun, and Chandu undertake to paint the house for $ ₹ \; 24000$ ... $\text{INR}$ received by him is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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61

CAT 2021 Set-3 | Quantitative Aptitude | Question: 3
For a real number $a,$ if $\dfrac{\log_{15}a + \log_{32}a}{(\log_{15}a)(\log_{32}a)} = 4$ then $a$ must lie in the range $a>5$ $3<a<4$ $4<a<5$ $2<a<3$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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62

CAT 2021 Set-3 | Quantitative Aptitude | Question: 4
In a triangle $\text{ABC}, \angle \text{BCA} = 50^{\circ}. \text{D}$ and $\text{E}$ are points on $\text{AB}$ and $\text{AC},$ respectively, such that $\text{AD = DE}.$ If $\text{F}$ is a point on $\text{BC}$ such that $\text{BD = DF},$ then $\angle \text{FDE, in degrees},$ is equal to $96$ $72$ $80$ $100$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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63

CAT 2021 Set-3 | Quantitative Aptitude | Question: 5
Bank $\text{A}$ offers $6 \%$ interest rate per annum compounded half yearly. Bank $\text{B}$ and Bank $\text{C}$ offer simple interest but the annual interest rate offered by Bank $\text{C}$ is twice that of Bank $\text{B}.$ Raju invests a ... $\text{A}$ for one year. The interest accrued, in $\text{INR},$ to Rupa is $3436$ $2436$ $2346$ $1436$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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64

CAT 2021 Set-3 | Quantitative Aptitude | Question: 6
Let $\text{ABCD}$ be a parallelogram. The lengths of the side $\text{AD}$ and the diagonal $\text{AC}$ are $10 \; \text{cm}$ and $20 \; \text{cm},$ respectively. If the angle $\angle \text{ADC}$ is equal to $30^{\circ}$ then the area of the parallelogram ... $\frac{25 (\sqrt{3} + \sqrt{15})}{2}$ $25 (\sqrt{3} + \sqrt{15})$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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65

CAT 2021 Set-3 | Quantitative Aptitude | Question: 7
A shop owner bought a total of $64$ shirts from a wholesale market that came in two sizes, small and large. The price of a small shirt was $\text{INR} \; 50$ less than that of a large shirt. She paid a total of $\text{INR} \; 5000$ for ... . Then, the price of a large shirt and a small shirt together, in $\text{INR},$ is $200$ $175$ $150$ $225$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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66

CAT 2021 Set-3 | Quantitative Aptitude | Question: 8
The arithmetic mean of scores of $25$ students in an examination is $50.$ Five of these students top the examination with the same score. If the scores of the other students are distinct integers with the lowest being $30,$ then the maximum possible score of the toppers is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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67

CAT 2021 Set-3 | Quantitative Aptitude | Question: 9
Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in $45 \; \text{minutes},$ Amal completes exactly $3$ more rounds than Mira. If they walk in opposite ... meet for the first time exactly after $3 \; \text{minutes}.$ The number of rounds Mira walks in one hour is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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68

CAT 2021 Set-3 | Quantitative Aptitude | Question: 10
The number of distinct pairs of integers $(m,n)$ satisfying $|1 + mn| < |m + n| < 5$ is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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69

CAT 2021 Set-3 | Quantitative Aptitude | Question: 11
The cost of fencing a rectangular plot is $ ₹ \; 200 \; \text{per ft}$ along one side, and $ ₹ \; 100 \; \text{per ft}$ along the three other sides. If the area of the rectangular plot is $60000 \; \text{sq. ft},$ then the lowest possible cost of fencing all four sides, in $\text{INR},$ is $160000$ $100000$ $120000$ $90000$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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70

CAT 2021 Set-3 | Quantitative Aptitude | Question: 12
If $f(x) = x^{2} – 7x$ and $g(x) = x + 3,$ then the minimum value of $f(g(x)) – 3x$ is $ -16$ $ -15$ $ -20$ $ -12$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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71

CAT 2021 Set-3 | Quantitative Aptitude | Question: 13
A four-digit number is formed by using only the digits $1, 2$ and $3$ such that both $2$ and $3$ appear at least once. The number of all such four-digit numbers is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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72

CAT 2021 Set-3 | Quantitative Aptitude | Question: 14
If a certain weight of an alloy of silver and copper is mixed with $3 \; \text{kg}$ of pure silver, the resulting alloy will have $90 \%$ silver by weight. If the same weight of the initial alloy is mixed with $2 \; \text{kg}$ of another alloy ... $84 \%$ silver by weight. Then, the weight of the initial alloy, in kg, is $4$ $2.5$ $3$ $3.5$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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73

CAT 2021 Set-3 | Quantitative Aptitude | Question: 15
One day, Rahul started a work at $9 \; \text{AM}$ and Gautam joined him two hours later. They then worked together and completed the work at $5 \; \text{PM}$ the same day. If both had started at $9 \; \text{AM}$ and worked together ... . Working alone, the time Rahul would have taken, in hours, to complete the work is $10$ $12$ $12.5$ $11.5$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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74

CAT 2021 Set-3 | Quantitative Aptitude | Question: 16
A park is shaped like a rhombus and has area $96 \; \text{sq m}.$ If $40 \; \text{m}$ of fencing is needed to enclose the park, the cost, in $\text{INR},$ of laying electric wires along its two diagonals, at the rate of $ ₹ \; 125 \; \text{per m},$ is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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75

CAT 2021 Set-3 | Quantitative Aptitude | Question: 17
The total of male and female populations in a city increased by $25 \%$ from $1970$ to $1980.$ During the same period, the male population increased by $40 \%$ while the female population increased by $20 \%.$ From $1980$ to $1990,$ the female ... of male and female populations in the city from $1970$ to $1990$ is $69.25$ $68.75$ $68.50$ $68.25$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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76

CAT 2021 Set-3 | Quantitative Aptitude | Question: 18
If $n$ is a positive integer such that $( \sqrt[7]{10}) ( \sqrt[7]{10})^{2} \dots ( \sqrt[7]{10})^{n} > 999,$ then the smallest value of $n$ is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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77

CAT 2021 Set-3 | Quantitative Aptitude | Question: 19
If $3x + 2|y| + y = 7$ and $ x + |x| + 3y = 1,$ then $x + 2y$ is $\frac{8}{3}$ $1$ $ – \frac{4}{3}$ $0$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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78

CAT 2021 Set-3 | Quantitative Aptitude | Question: 20
A tea shop offers tea in cups of three different sizes. The product of the prices, in $\text{INR},$ of three different sizes is equal to $800.$ The prices of the smallest size and the medium size are in the ratio $2:5.$ If ... , the product then changes to $3200.$ The sum of the original prices of three different sizes, in $\text{INR},$ is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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79

CAT 2021 Set-3 | Quantitative Aptitude | Question: 21
One part of a hostel's monthly expenses is fixed, and the other part is proportional to the number of its boarders. The hostel collects $ ₹ \; 1600$ per month from each boarder. When the number of boarders is $50,$ ... is $80,$ the total profit of the hostel, in $\text{INR},$ will be $20800$ $20200$ $20000$ $20500$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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80

CAT 2021 Set-3 | Quantitative Aptitude | Question: 22
In a tournament, a team has played $40$ matches so far and won $30 \%$ of them. If they win $60 \%$ of the remaining matches, their overall win percentage will be $50 \%.$ Suppose they win $90 \%$ of the remaining matches, then the total number of matches won by the team in the tournament will be $80$ $84$ $78$ $86$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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Recent questions tagged quantitative-aptitude