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CAT 2022 Set-2 | Quantitative Aptitude | Question: 1
Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio $5: 8: 10$. They accept a job which they can finish in $4$ days if they all work together for $8$ hours per day. However, Anu and ... $6$ hours $40$ minutes per day. Then, the number of hours that Manu will take to complete the remaining job working alone is
Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio $5: 8: 10$. They accept a job which they can finish in $4$ days if they all work...
admin
4.5k
points
461
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 2
Mr. Pinto invests one-fifth of his capital at $6 \%$, one-third at $10 \%$ and the remaining at $1 \%$, each rate being simple interest per annum. Then, the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is
Mr. Pinto invests one-fifth of his capital at $6 \%$, one-third at $10 \%$ and the remaining at $1 \%$, each rate being simple interest per annum. Then, the minimum numbe...
admin
4.5k
points
388
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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283
CAT 2022 Set-2 | Quantitative Aptitude | Question: 3
Regular polygons $\mathrm{A}$ and $\mathrm{B}$ have number of sides in the ratio $1: 2$ and interior angles in the ratio $3: 4$. Then the number of sides of $\mathrm{B}$ equals
Regular polygons $\mathrm{A}$ and $\mathrm{B}$ have number of sides in the ratio $1: 2$ and interior angles in the ratio $3: 4$. Then the number of sides of $\mathrm{B}$ ...
admin
4.5k
points
265
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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284
CAT 2022 Set-2 | Quantitative Aptitude | Question: 4
The number of distinct integer values of $n$ satisfying $\frac{4-\log 2 n}{3-\log _{4} n}<0$, is
The number of distinct integer values of $n$ satisfying $\frac{4-\log 2 n}{3-\log _{4} n}<0$, is
admin
4.5k
points
342
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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285
CAT 2022 Set-2 | Quantitative Aptitude | Question: 5
The average of a non-decreasing sequence of $\mathrm{N}$ numbers $a_{1}, a_{2}, \ldots \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$, the new average becomes $400$ . Then, the number of possible values of $a_{1}$ is
The average of a non-decreasing sequence of $\mathrm{N}$ numbers $a_{1}, a_{2}, \ldots \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$, the new average beco...
admin
4.5k
points
418
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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286
CAT 2022 Set-2 | Quantitative Aptitude | Question: 6
If $a$ and $b$ are non-negative real numbers such that $a+2 b=6$, then the average of the maximum and minimum possible values of $(a+b)$ is $3.5$ $4.5$ $3$ $4$
If $a$ and $b$ are non-negative real numbers such that $a+2 b=6$, then the average of the maximum and minimum possible values of $(a+b)$ is$3.5$$4.5$$3$$4$
admin
4.5k
points
387
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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287
CAT 2022 Set-2 | Quantitative Aptitude | Question: 7
The length of each side of an equilateral triangle $\mathrm{A B C}$ is $3 \mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{B C}$ such that the area of triangle $\mathrm{A D C}$ is half the area of triangle $\mathrm{A B D}$. Then the length of $\mathrm{A D}$, in $\mathrm{cm}$, is $\sqrt{7}$ $\sqrt{6}$ $\sqrt{8}$ $\sqrt{5}$
The length of each side of an equilateral triangle $\mathrm{A B C}$ is $3 \mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{B C}$ such that the area of triangle $\ma...
admin
4.5k
points
439
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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288
CAT 2022 Set-2 | Quantitative Aptitude | Question: 8
The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is $1480$ $1440$ $1200$ $1420$
The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is$1480$$1440$$1200$$1420$
admin
4.5k
points
319
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 9
Let $f(x)$ be a quadratic polynomial in $x$ such that $f(x) \geq 0$ for all real numbers $x$. If $f(2)=0$ and $f(4)=6$, then $f(-2)$ is equal to $36$ $12$ $24$ $6$
Let $f(x)$ be a quadratic polynomial in $x$ such that $f(x) \geq 0$ for all real numbers $x$. If $f(2)=0$ and $f(4)=6$, then $f(-2)$ is equal to$36$$12$$24$$6$
admin
4.5k
points
310
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 10
Manu earns ₹$4000$ per month and wants to save an average of ₹$550$ per month in a year. In the first nine months, his monthly expense was ₹$3500$, and he foresees that, tenth month onward, his monthly expense will increase to ... savings target, his monthly earnings, in rupees, from the tenth month onward should be $4350$ $4400$ $4300$ $4200$
Manu earns ₹$4000$ per month and wants to save an average of ₹$550$ per month in a year. In the first nine months, his monthly expense was ₹$3500$, and he foresees ...
admin
4.5k
points
366
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 11
In an election, there were four candidates and $80 \%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the casted votes while the other three candidates received the remaining casted votes ... candidate with the second highest votes, then the number of registered voters was $62800$ $50240$ $40192$ $60288$
In an election, there were four candidates and $80 \%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the casted votes while the o...
admin
4.5k
points
304
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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292
CAT 2022 Set-2 | Quantitative Aptitude | Question: 12
On day one, there are $100$ particles in a laboratory experiment. On day $n$, where $n \geq 2$, one out of every $n$ particles produces another particle. If the total number of particles in the laboratory experiment increases to $1000$ on day $\mathrm{m}$, then $\mathrm{m}$ equals $19$ $17$ $16$ $18$
On day one, there are $100$ particles in a laboratory experiment. On day $n$, where $n \geq 2$, one out of every $n$ particles produces another particle. If the total num...
admin
4.5k
points
357
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 13
There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, and then the half of this mixture is transferred ... sugar syrup and milk in the second container is $6: 5$ $5: 6$ $4: 5$ $5: 4$
There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first co...
admin
4.5k
points
534
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 14
Five students, including Amit, appear for an examination in which possible marks are integers between $0$ and $50$ , both inclusive. The average marks for all the students is $38$ and exactly three students got more than $32$. If no ... students, then the difference between the highest and lowest possible marks of Amit is $22$ $20$ $21$ $24$
Five students, including Amit, appear for an examination in which possible marks are integers between $0$ and $50$ , both inclusive. The average marks for all the student...
admin
4.5k
points
405
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 15
Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are $60 \mathrm{~km}$ apart. If the speed of one of the ships is $6 \mathrm{~km}$ per hour more than the other one, then the speed, in km per hour, of the slower ship is $24$ $18$ $20$ $12$
Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are $60 \mathrm{~km}$ apar...
admin
4.5k
points
671
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 16
For some natural number $n$, assume that $(15,000) !$ is divisible by $(n !) !$. The largest possible value of $n$ is $5$ $4$ $6$ $7$
For some natural number $n$, assume that $(15,000) !$ is divisible by $(n !) !$. The largest possible value of $n$ is$5$$4$$6$$7$
admin
4.5k
points
328
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 17
Suppose for all integers $x$, there are two functions $f$ and $g$ such that $f(x)+$ $f(x-1)-1=0$ and $g(x)=x^{2}$. If $f\left(x^{2}-x\right)=5$, then the value of the sum $f(g(5))+g(f(5))$ is
Suppose for all integers $x$, there are two functions $f$ and $g$ such that $f(x)+$ $f(x-1)-1=0$ and $g(x)=x^{2}$. If $f\left(x^{2}-x\right)=5$, then the value of the sum...
admin
4.5k
points
230
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 18
In triangle $\mathrm{A B C}$, altitudes $\mathrm{A D}$ and $\mathrm{B E}$ are drawn to the corresponding bases. If $\angle \mathrm{B A C}=45^{\circ}$ and $\angle \mathrm{A B C}=\theta$, then $\frac{A D}{B E}$ equals $\sqrt{2} \cos \theta$ $1$ $\sqrt{2} \sin \theta$ $\frac{(\sin +\cos )}{\sqrt{2}}$
In triangle $\mathrm{A B C}$, altitudes $\mathrm{A D}$ and $\mathrm{B E}$ are drawn to the corresponding bases. If $\angle \mathrm{B A C}=45^{\circ}$ and $\angle \mathrm{...
admin
4.5k
points
261
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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299
CAT 2022 Set-2 | Quantitative Aptitude | Question: 19
The number of integer solutions of the equation $\left(x^{2}-10\right)^{\left(x^{2}-3 x-10\right)}=1$ is
The number of integer solutions of the equation $\left(x^{2}-10\right)^{\left(x^{2}-3 x-10\right)}=1$ is
admin
4.5k
points
269
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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300
CAT 2022 Set-2 | Quantitative Aptitude | Question: 20
Let $r$ and $c$ be real numbers. If $r$ and $-r$ are roots of $5 x^{3}+c x^{2}-10 x+9=0$, then $c$ equals $4$ $-4$ $-\frac{9}{2}$ $\frac{9}{2}$
Let $r$ and $c$ be real numbers. If $r$ and $-r$ are roots of $5 x^{3}+c x^{2}-10 x+9=0$, then $c$ equals$4$$-4$$-\frac{9}{2}$$\frac{9}{2}$
admin
4.5k
points
303
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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301
CAT 2022 Set-2 | Quantitative Aptitude | Question: 21
Consider the arithmetic progression $3,7,11, \ldots$ and let $A_{n}$ denote the sum of the first $\mathrm{n}$ terms of this progression. Then the value of $1^{25}, A$ is $442$ $404$ $455$ $415$
Consider the arithmetic progression $3,7,11, \ldots$ and let $A_{n}$ denote the sum of the first $\mathrm{n}$ terms of this progression. Then the value of $1^{25}, A$ is$...
admin
4.5k
points
248
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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302
CAT 2022 Set-2 | Quantitative Aptitude | Question: 22
In an examination, there were $75$ questions. $3$ marks were awarded for each correct answer, $1$ mark was deducted for each wrong answer and $1$ mark was awarded for each unattempted question. Rayan scored a total ... the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination is
In an examination, there were $75$ questions. $3$ marks were awarded for each correct answer, $1$ mark was deducted for each wrong answer and $1$ mark was awarded for eac...
admin
4.5k
points
333
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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303
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 1
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
4.5k
points
543
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 2
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
4.5k
points
235
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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305
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 3
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
4.5k
points
252
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 4
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
4.5k
points
239
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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307
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 5
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
4.5k
points
262
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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308
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 6
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
4.5k
points
284
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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309
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 7
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
4.5k
points
306
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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310
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 8
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
4.5k
points
271
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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311
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 9
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
4.5k
points
451
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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312
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 10
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
4.5k
points
275
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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313
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 11
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
4.5k
points
263
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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0
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314
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 12
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
4.5k
points
617
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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0
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0
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315
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 13
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
4.5k
points
373
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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0
votes
0
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316
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 14
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
4.5k
points
193
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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317
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 15
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
4.5k
points
249
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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0
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0
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318
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 16
Comprehension:A speciality supermarket sells $320$ products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also ...
admin
4.5k
points
270
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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0
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319
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 17
Comprehension:A speciality supermarket sells $320$ products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also ...
admin
4.5k
points
449
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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0
votes
0
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320
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 18
Comprehension:A speciality supermarket sells $320$ products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also ...
admin
4.5k
points
242
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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