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A train is 250 m long and it runs at a speed of 50km/hr . Then in how much time the train will pass the Power/Electic Pole .
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Nov 24
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parth bodar
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speed-distance-time
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GATE GENERAL APTITUDE | CHAPTER 34: Mixtures and Alligations | Page 302 Example 2|
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Quantitative Aptitude
Nov 4
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xxwarmachineroxx
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81
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alligation-mixture
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Coffee or tea come with dinner inclusive or exclusive
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Quantitative Aptitude
Oct 1
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Raheel Ahmed
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0
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Quantum cat
In a Nut - Bolt factory 180 workers are working 6 hours a day . Out of 180 workers there are some men, some women and rest are boys . All the workers can produce either nut or bolt or both of them . A man can produce 60 nuts and 80 bolts in each hour and a woman ... .e either nut or bolt ) per hour. Q:1 Working 6 hours a day , how many nuts they can produce with 52500 bolt in each day ?
Abhijeet pandey 22
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Quantitative Aptitude
Mar 12
by
Abhijeet pandey 22
14
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413
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1
vote
1
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5
CAT 2022 Set-3 | Quantitative Aptitude | Question: 1
A donation box can receive only cheques of ₹$100$, ₹$250$, and ₹$500$. On one good day, the donation box was found to contain exactly $100$ cheques amounting to a total sum of ₹$15250$. Then, the maximum possible number of cheques of ₹$500$ that the donation box may have contained, is
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Quantitative Aptitude
Mar 3
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admin
3.7k
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1.3k
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cat2022-set3
1
vote
1
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6
CAT 2022 Set-3 | Quantitative Aptitude | Question: 2
If $c=\dfrac{16 x}{y}+\dfrac{49 y}{x}$ for some non-zero real numbers $x$ and $y,$ then $c$ cannot take the value $-60$ $-50$ $60$ $-70$
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Quantitative Aptitude
Mar 3
by
admin
3.7k
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1.2k
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cat2022-set3
quantitative-aptitude
algebra
1
vote
1
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7
CAT 2022 Set-3 | Quantitative Aptitude | Question: 3
If $(3+2 \sqrt{2})$ is a root of the equation $a x^{2}+b x+c-0$, and $(4+2 \sqrt{3})$ is a root of the equation $a y^{2}+m y+n – 0$, where $a, b, c, m$ and $n$ are integers, then the value of $\left(\frac{b}{m}+\frac{c-2 b}{n}\right)$ is $0$ $3$ $4$ $1$
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Quantitative Aptitude
Mar 3
by
admin
3.7k
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250
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cat2022-set3
1
vote
0
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8
CAT 2022 Set-3 | Quantitative Aptitude | Question: 4
Suppose the medians $\mathrm{BD}$ and $\mathrm{CE}$ of a triangle $\mathrm{ABC}$ intersect at a point $\mathrm{O}$. If area of triangle $\mathrm{ABC}$ is $108$ $\mathrm{sq. cm}$., then, the area of the triangle $\mathrm{EOD}$, in $\mathrm{sq. cm}$., is
admin
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Quantitative Aptitude
Mar 3
by
admin
3.7k
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197
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cat2022-set3
1
vote
0
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9
CAT 2022 Set-3 | Quantitative Aptitude | Question: 5
Bob can finish a job in $40$ days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the first day, Bob and Cole work together on the second day ... on the fourth day, and so on. Then, the total number of days Alex would have worked when the job gets finished, is
admin
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Quantitative Aptitude
Mar 3
by
admin
3.7k
points
266
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cat2022-set3
1
vote
0
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10
CAT 2022 Set-3 | Quantitative Aptitude | Question: 6
A glass contains $500 \mathrm{cc}$ of milk and a cup contains $500 \mathrm{cc}$ of water. From the glass, $150 \mathrm{cc}$ of milk is transferred to the cup and mixed thoroughly. Next, $150 \mathrm{cc}$ of this mixture is transferred from the cup to ... the glass and the amount of milk in the cup are in the ratio $1: 1$ $10: 3$ $10: 13$ $3: 10$
admin
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Quantitative Aptitude
Mar 3
by
admin
3.7k
points
309
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cat2022-set3
1
vote
1
answer
11
CAT 2022 Set-3 | Quantitative Aptitude | Question: 7
Consider six distinct natural numbers such that the average of the two smallest numbers is $14$, and the average of the two largest numbers is $28$. Then, the maximum possible value of the average of these six numbers is $22 .5$ $23$ $23 .5$ $24$
admin
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Quantitative Aptitude
Mar 3
by
admin
3.7k
points
1.3k
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cat2022-set3
1
vote
1
answer
12
CAT 2022 Set-3 | Quantitative Aptitude | Question: 8
Let $r$ be a real number and $f(x)=\left\{\begin{array}{cl}2 x-r & \text { if } x \geq r \\ r & \text { if } x<r\end{array}\right.$. Then, the equation $f(x)=f(f(x))$ holds for all real values of $x$ where $x \leq r$ $x>r$ $x \geq r$ $x \neq r$
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Quantitative Aptitude
Mar 3
by
admin
3.7k
points
297
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cat2022-set3
1
vote
0
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13
CAT 2022 Set-3 | Quantitative Aptitude | Question: 9
Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length $24 \mathrm{km}$. When the slower ship travelled $8 \mathrm{km}$, the triangle formed by ... distance, in $\mathrm{km}$, between the other ship and the port will be $4$ $6$ $12$ $8$
admin
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in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
310
views
cat2022-set3
1
vote
1
answer
14
CAT 2022 Set-3 | Quantitative Aptitude | Question: 10
Nitu has an initial capital of ₹ $20,000$. Out of this, she invests ₹$8,000$ at $5.5 \%$ in bank $\mathrm{A}$, ₹$5,000$ at $5.6 \%$ in bank $\mathrm{B}$ and the remaining amount at $x \%$ ... entire initial capital in bank $\mathrm{C}$ alone, then her annual interest income, in rupees, would have been $900$ $800$ $1000$ $700$
admin
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Quantitative Aptitude
Mar 3
by
admin
3.7k
points
361
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cat2022-set3
1
vote
1
answer
15
CAT 2022 Set-3 | Quantitative Aptitude | Question: 11
The minimum possible value of $\frac{x^{2}-6 x+10}{3-x}$, for $x<3$, is $-2$ $2$ $\frac{1}{2}$ $-\frac{1}{2}$
admin
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in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
193
views
cat2022-set3
1
vote
0
answers
16
CAT 2022 Set-3 | Quantitative Aptitude | Question: 12
In an examination, the average marks of students in sections $\mathrm{A}$ and $\mathrm{B}$ are $32$ and $60$, respectively. The number of students in section $\mathrm{A}$ is $10$ ... combined is an integer, then the difference between the maximum and minimum possible number of students in section $\mathrm{A}$ is
admin
asked
in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
209
views
cat2022-set3
1
vote
1
answer
17
CAT 2022 Set-3 | Quantitative Aptitude | Question: 13
If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of $a$ and $b$, then the value of $x+y$ is
admin
asked
in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
657
views
cat2022-set3
1
vote
1
answer
18
CAT 2022 Set-3 | Quantitative Aptitude | Question: 14
A group of $\mathrm{N}$ people worked on a project. They finished $35 \%$ of the project by working $7$ hours a day for $10$ days. Thereafter, $10$ people left the group and the remaining people finished the rest of the project in $14$ days by working $10$ hours a day. Then the value of $\mathrm{N}$ is $150$ $36$ $140$ $23$
admin
asked
in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
692
views
cat2022-set3
quantitative-aptitude
work-time
1
vote
0
answers
19
CAT 2022 Set-3 | Quantitative Aptitude | Question: 15
Moody takes $30$ seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes $20$ seconds to finish riding the escalator if he walks at twice his normal speed in the same direction. If Moody decides to stand still on the escalator, then the time, in seconds, needed to finish riding the escalator is
admin
asked
in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
241
views
cat2022-set3
1
vote
0
answers
20
CAT 2022 Set-3 | Quantitative Aptitude | Question: 16
In a triangle $\mathrm{A B C, A B=A C}=8 \mathrm{cm}$. A circle drawn with $\mathrm{BC}$ as diameter passes through $\mathrm{A}$. Another circle drawn with center at $\mathrm{A}$ passes through $\mathrm{B}$ and $\mathrm{C}$. Then the area ... $16(\pi-1)$ $32 \pi$ $32(\pi-1)$ $16 \pi$
admin
asked
in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
165
views
cat2022-set3
1
vote
0
answers
21
CAT 2022 Set-3 | Quantitative Aptitude | Question: 17
Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real roots for $\mathrm{x}$. Then, the number of possible values of $\mathrm{k}$ is $7$ $9$ $8$ $13$
admin
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in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
151
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cat2022-set3
1
vote
0
answers
22
CAT 2022 Set-3 | Quantitative Aptitude | Question: 18
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is $2442$ $3333$ $2592$ $2222$
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Quantitative Aptitude
Mar 3
by
admin
3.7k
points
259
views
cat2022-set3
1
vote
0
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23
CAT 2022 Set-3 | Quantitative Aptitude | Question: 19
The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length $1 \mathrm{cm}, 2 \mathrm{cm}$ and $4 \mathrm{cm}$, then the total number of possible lengths of the fourth side is $5$ $4$ $3$ $6$
admin
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in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
203
views
cat2022-set3
1
vote
0
answers
24
CAT 2022 Set-3 | Quantitative Aptitude | Question: 20
Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take $1.5$ hours if they travel towards each other, but $10.5$ hours if they travel in the same direction. If the speed ... the slower car when it meets the other car while traveling towards each other, is $100$ $90$ $150$ $120$
admin
asked
in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
189
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cat2022-set3
1
vote
0
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25
CAT 2022 Set-3 | Quantitative Aptitude | Question: 21
A school has less than $5000$ students and if the students are divided equally into teams of either $9$ or $10$ or $12$ or $25$ each, exactly $4$ are always left out. However, if they are divided into teams of $11$ each, no one is left out. The maximum number of teams of $12$ each that can be formed out of the students in the school is
admin
asked
in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
153
views
cat2022-set3
1
vote
0
answers
26
CAT 2022 Set-3 | Quantitative Aptitude | Question: 22
The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is
admin
asked
in
Quantitative Aptitude
Mar 3
by
admin
3.7k
points
188
views
cat2022-set3
0
votes
0
answers
27
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
admin
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in
Quantitative Aptitude
Feb 2
by
admin
3.7k
points
260
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cat2022-set2
quantitative-aptitude
0
votes
0
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28
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
admin
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Quantitative Aptitude
Feb 2
by
admin
3.7k
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256
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cat2022-set2
quantitative-aptitude
0
votes
0
answers
29
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
admin
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in
Quantitative Aptitude
Feb 2
by
admin
3.7k
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163
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cat2022-set2
quantitative-aptitude
0
votes
0
answers
30
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
admin
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in
Quantitative Aptitude
Feb 2
by
admin
3.7k
points
241
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cat2022-set2
quantitative-aptitude
0
votes
0
answers
31
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
admin
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Quantitative Aptitude
Feb 2
by
admin
3.7k
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224
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cat2022-set2
quantitative-aptitude
0
votes
0
answers
32
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 $3.5$ $4.5$ $3$ $4$
admin
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Quantitative Aptitude
Feb 2
by
admin
3.7k
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222
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cat2022-set2
quantitative-aptitude
0
votes
0
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33
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 $\sqrt{7}$ $\sqrt{6}$ $\sqrt{8}$ $\sqrt{5}$
admin
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Quantitative Aptitude
Feb 2
by
admin
3.7k
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189
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cat2022-set2
quantitative-aptitude
0
votes
0
answers
34
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 $1480$ $1440$ $1200$ $1420$
admin
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Quantitative Aptitude
Feb 2
by
admin
3.7k
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152
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cat2022-set2
quantitative-aptitude
1
vote
0
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35
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 $36$ $12$ $24$ $6$
admin
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Quantitative Aptitude
Feb 2
by
admin
3.7k
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190
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cat2022-set2
quantitative-aptitude
0
votes
0
answers
36
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 $4350$ $4400$ $4300$ $4200$
admin
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in
Quantitative Aptitude
Feb 2
by
admin
3.7k
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198
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cat2022-set2
quantitative-aptitude
0
votes
0
answers
37
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 $62800$ $50240$ $40192$ $60288$
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Quantitative Aptitude
Feb 2
by
admin
3.7k
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195
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cat2022-set2
quantitative-aptitude
0
votes
0
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38
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 $19$ $17$ $16$ $18$
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Quantitative Aptitude
Feb 2
by
admin
3.7k
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232
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cat2022-set2
quantitative-aptitude
0
votes
0
answers
39
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 $6: 5$ $5: 6$ $4: 5$ $5: 4$
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Quantitative Aptitude
Feb 2
by
admin
3.7k
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195
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cat2022-set2
quantitative-aptitude
0
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0
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40
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 $22$ $20$ $21$ $24$
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Quantitative Aptitude
Feb 2
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admin
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267
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cat2022-set2
quantitative-aptitude
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