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201
CAT 2023 Set-1 | Verbal Ability and Reading Comprehension | Question: 24
The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.Colonialism is not a modern phenomenon. W...
1 votes
1 answer
202
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 .
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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1 answer
203
GATE GENERAL APTITUDE | CHAPTER 34: Mixtures and Alligations | Page 302 Example 2|
A container has 20 L of milk. 4 L of milk is replaced with an equal quantity of water. What was will be the final quantity of milk in the container if the process is repe...
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205
Coffee or tea come with dinner inclusive or exclusive
1 votes
1 answer
209
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 $-60$ $-50$ $60$ $-70$
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$-60$ $-50$ $60$ $-70$
2 votes
1 answer
210
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 $0$ $3$ $4$ $1$
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 inte...
1 votes
0 answers
211
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
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{s...
2 votes
1 answer
214
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 $22 .5$ $23$ $23 .5$ $24$
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 pos...
1 votes
1 answer
215
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 $x \leq r$ $x>r$ $x \geq r$ $x \neq r$
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 $f(x)=f(f(x))$ hol...
1 votes
1 answer
218
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 $-2$ $2$ $\frac{1}{2}$ $-\frac{1}{2}$
The minimum possible value of $\frac{x^{2}-6 x+10}{3-x}$, for $x<3$, is$-2$$2$$\frac{1}{2}$$-\frac{1}{2}$
1 votes
1 answer
220
CAT 2022 Set-3 | Quantitative Aptitude | Question: 13
If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of $a$ and $b$, then the value of $x+y$ is
If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of...
1 votes
0 answers
224
CAT 2022 Set-3 | Quantitative Aptitude | Question: 17
Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real roots for $\mathrm{x}$. Then, the number of possible values of $\mathrm{k}$ is $7$ $9$ $8$ $13$
Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real roots for $\math...
1 votes
0 answers
225
CAT 2022 Set-3 | Quantitative Aptitude | Question: 18
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is $2442$ $3333$ $2592$ $2222$
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is$2442$$3333$$2592$$2222$
1 votes
0 answers
226
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 $5$ $4$ $3$ $6$
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 tota...
1 votes
0 answers
229
CAT 2022 Set-3 | Quantitative Aptitude | Question: 22
The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is
The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is
1 votes
0 answers
230
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 1
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
1 votes
0 answers
231
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 2
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
1 votes
0 answers
232
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 3
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
1 votes
0 answers
233
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 4
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
1 votes
0 answers
234
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 5
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
1 votes
0 answers
235
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 6
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
1 votes
0 answers
236
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 7
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
1 votes
0 answers
237
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 8
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
2 votes
0 answers
238
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 9
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
1 votes
0 answers
239
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 10
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
1 votes
0 answers
240
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 11
Comprehension:All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students...
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