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41

CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 17

soujanyareddy13 asked in Logical Reasoning Jan 20, 2022

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42

CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 18

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43

CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 19

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44

CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 20

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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 $4950$ $4850$ $4849$ $4949$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $a>5$ $3<a<4$ $4<a<5$ $2<a<3$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $96$ $72$ $80$ $100$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $3436$ $2436$ $2346$ $1436$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 ... $\frac{25 (\sqrt{3} + \sqrt{15})}{2}$ $25 (\sqrt{3} + \sqrt{15})$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $200$ $175$ $150$ $225$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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55

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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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$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $4$ $2.5$ $3$ $3.5$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $10$ $12$ $12.5$ $11.5$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $ ₹ \; 125 \; \text{per m},$ is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $69.25$ $68.75$ $68.50$ $68.25$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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}$ $0$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $20800$ $20200$ $20000$ $20500$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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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 $80$ $84$ $78$ $86$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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Recent questions tagged cat2021-set3