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Recent questions tagged cat2021-set3
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41
CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 17
Each of the bottles mentioned in this question contains $50 \; \text{ml}$ of liquid. The liquid in any bottle can be $100 \%$ pure content $\text{(P)}$ or can have certai...
soujanyareddy13
2.7k
points
309
views
soujanyareddy13
asked
Jan 20, 2022
Logical Reasoning
cat2021-set3
logical-reasoning
logic-puzzles
+
–
0
votes
0
answers
42
CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 18
Each of the bottles mentioned in this question contains $50 \; \text{ml}$ of liquid. The liquid in any bottle can be $100 \%$ pure content $\text{(P)}$ or can have certai...
soujanyareddy13
2.7k
points
235
views
soujanyareddy13
asked
Jan 20, 2022
Logical Reasoning
cat2021-set3
logical-reasoning
logic-puzzles
numerical-answer
+
–
0
votes
0
answers
43
CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 19
Each of the bottles mentioned in this question contains $50 \; \text{ml}$ of liquid. The liquid in any bottle can be $100 \%$ pure content $\text{(P)}$ or can have certai...
soujanyareddy13
2.7k
points
261
views
soujanyareddy13
asked
Jan 20, 2022
Logical Reasoning
cat2021-set3
logical-reasoning
logic-puzzles
numerical-answer
+
–
0
votes
0
answers
44
CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 20
Each of the bottles mentioned in this question contains $50 \; \text{ml}$ of liquid. The liquid in any bottle can be $100 \%$ pure content $\text{(P)}$ or can have certai...
soujanyareddy13
2.7k
points
230
views
soujanyareddy13
asked
Jan 20, 2022
Logical Reasoning
cat2021-set3
logical-reasoning
logic-puzzles
+
–
1
votes
1
answer
45
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 $4950$ $4850$ $4849$ $4949$
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 $4...
soujanyareddy13
2.7k
points
499
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
sequences&series
+
–
1
votes
1
answer
46
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
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$ an...
soujanyareddy13
2.7k
points
783
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
work-cost
numerical-answer
+
–
1
votes
1
answer
47
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 $a>5$ $3<a<4$ $4<a<5$ $2<a<3$
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
2.7k
points
908
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
logarithms
+
–
1
votes
1
answer
48
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$
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}.$ I...
soujanyareddy13
2.7k
points
637
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
geometry
+
–
1
votes
1
answer
49
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$
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 offer...
soujanyareddy13
2.7k
points
1.1k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
simple-compound-interest
+
–
1
votes
1
answer
50
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})$
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 a...
soujanyareddy13
2.7k
points
1.1k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
geometry
+
–
1
votes
1
answer
51
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$
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 th...
soujanyareddy13
2.7k
points
1.1k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
number-systems
+
–
1
votes
1
answer
52
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
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 stude...
soujanyareddy13
2.7k
points
1.4k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
arithmetic-mean
numerical-answer
+
–
2
votes
1
answer
53
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
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 complet...
soujanyareddy13
2.7k
points
1.9k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
speed-distance-time
numerical-answer
+
–
0
votes
0
answers
54
CAT 2021 Set-3 | Quantitative Aptitude | Question: 10
The number of distinct pairs of integers $(m,n)$ satisfying $|1 + mn| < |m + n| < 5$ is
The number of distinct pairs of integers $(m,n)$ satisfying $|1 + mn| < |m + n| < 5$ is
soujanyareddy13
2.7k
points
291
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
absolute-value
numerical-answer
+
–
1
votes
1
answer
55
CAT 2021 Set-3 | Quantitative Aptitude | Question: 11
The cost of fencing a rectangular plot is $ \text{₹} \; 200 \; \text{per ft}$ along one side, and $ \text{₹} \; 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$
The cost of fencing a rectangular plot is $ \text{₹} \; 200 \; \text{per ft}$ along one side, and $ \text{₹} \; 100 \; \text{per ft}$ along the three other sides. If ...
soujanyareddy13
2.7k
points
788
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
geometry
+
–
1
votes
1
answer
56
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$
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
2.7k
points
395
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
functions
+
–
1
votes
1
answer
57
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
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
2.7k
points
518
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
permutation-combination
numerical-answer
+
–
1
votes
1
answer
58
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 $4$ $2.5$ $3$ $3.5$
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 we...
soujanyareddy13
2.7k
points
840
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
alligation-mixture
+
–
1
votes
1
answer
59
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 $10$ $12$ $12.5$ $11.5$
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...
soujanyareddy13
2.7k
points
1.1k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
work-time
+
–
1
votes
1
answer
60
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 $ \text{₹} \; 125 \; \text{per m},$ is
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 elect...
soujanyareddy13
2.7k
points
1.2k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
geometry
numerical-answer
+
–
0
votes
0
answers
61
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 $69.25$ $68.75$ $68.50$ $68.25$
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 ...
soujanyareddy13
2.7k
points
605
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
percentage
+
–
1
votes
1
answer
62
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
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
2.7k
points
422
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
number-systems
numerical-answer
+
–
1
votes
1
answer
63
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}$ $0$
If $3x + 2|y| + y = 7$ and $ x + |x| + 3y = 1,$ then $x + 2y$ is$\frac{8}{3}$$1$$ – \frac{4}{3}$$0$
soujanyareddy13
2.7k
points
384
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
absolute-value
+
–
1
votes
1
answer
64
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
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...
soujanyareddy13
2.7k
points
774
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
ratio-proportion
numerical-answer
+
–
0
votes
0
answers
65
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 $20800$ $20200$ $20000$ $20500$
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 ea...
soujanyareddy13
2.7k
points
665
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
profit-loss
+
–
1
votes
1
answer
66
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 $80$ $84$ $78$ $86$
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 \%....
soujanyareddy13
2.7k
points
1.4k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
percentage
+
–
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