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Recent questions tagged quantitative-aptitude
1
votes
1
answer
441
CAT 2017 Set-2 | Question: 98
Let $f\left ( x \right )=2x-5$ and $g\left ( x \right )=7-2x.$ Then $ \mid f\left ( x \right ) + g\left ( x \right ) \mid=\mid f(x) \mid + \mid g\left ( x \right ) \mid$ if and only if $5/2<x<7/2$ $x\leq 5/2$ or $x\geq 7/2$ $x< 5/2$ or $x\geq 7/2$ $5/2\leq x\leq 7/2$
Let $f\left ( x \right )=2x-5$ and $g\left ( x \right )=7-2x.$ Then $ \mid f\left ( x \right ) + g\left ( x \right ) \mid=\mid f(x) \mid + \mid g\left ( x \right ) \mid$ ...
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13.9k
points
665
views
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asked
Mar 16, 2020
Quantitative Aptitude
cat2017-2
quantitative-aptitude
functions
+
–
0
votes
0
answers
442
CAT 2017 Set-2 | Question: 96
How many four digits number, which are divisible by $6$ , can be formed using the digits $0,2,3,4,6$ such that no digit is used more than once and $0$ does not occur in the left-most positions? $49$ $48$ $50$ $52$
How many four digits number, which are divisible by $6$ , can be formed using the digits $0,2,3,4,6$ such that no digit is used more than once and $0$ does not occur in t...
go_editor
13.9k
points
466
views
go_editor
asked
Mar 16, 2020
Quantitative Aptitude
cat2017-2
quantitative-aptitude
permutation-combination
+
–
2
votes
1
answer
443
CAT 2017 Set-2 | Question: 95
In how many ways can $8$ identical pens be distributed among Amal, Bimal, Kamal so that Amal gets at least $1$ pen, Bimal gets a least $2$ pens, and Kamal gets a least $3$ pens? $5$ $6$ $7$ $8$
In how many ways can $8$ identical pens be distributed among Amal, Bimal, Kamal so that Amal gets at least $1$ pen, Bimal gets a least $2$ pens, and Kamal gets a least $3...
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13.9k
points
842
views
go_editor
asked
Mar 16, 2020
Quantitative Aptitude
cat2017-2
quantitative-aptitude
permutation-combination
+
–
1
votes
1
answer
444
CAT 2017 Set-2 | Question: 97
If $f\left ( ab \right )=f\left ( a \right )f\left ( b \right )$ for all positive integers $a$ and $b$, then the largest possible value of $f\left (1\right )$ is $1$ $2$ $0$ $3$
If $f\left ( ab \right )=f\left ( a \right )f\left ( b \right )$ for all positive integers $a$ and $b$, then the largest possible value of $f\left (1\right )$ is $1$$2$$0...
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13.9k
points
483
views
go_editor
asked
Mar 16, 2020
Quantitative Aptitude
cat2017-2
quantitative-aptitude
functions
+
–
1
votes
1
answer
445
CAT 2017 Set-2 | Question: 100
If $a_1=1/\left ( 2^{*}5 \right ),a_2=1/\left ( 5^{*}8 \right ),a_3=1/\left ( 8^{*}11 \right ),\dots\dots,$ then $a_1+a_2+\dots\dots+a_{100}$ is $25/151$ $1/2$ $1/4$ $111/55$
If $a_1=1/\left ( 2^{*}5 \right ),a_2=1/\left ( 5^{*}8 \right ),a_3=1/\left ( 8^{*}11 \right ),\dots\dots,$ then $a_1+a_2+\dots\dots+a_{100}$ is$25/151$$1/2$$1/4$$111/55$...
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13.9k
points
493
views
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asked
Mar 16, 2020
Quantitative Aptitude
cat2017-2
quantitative-aptitude
arithmetic-geometric-progression
+
–
3
votes
1
answer
446
CAT 2017 Set-1 | Question: 67
Arun's present age in years is $40\%$ of Barun's. In another few years, Arun's age will be half of Barun' s. By what percentage will Barun's age increase during this period? $15$ None of these $25$ $30$
Arun's present age in years is $40\%$ of Barun's. In another few years, Arun's age will be half of Barun' s. By what percentage will Barun's age increase during this peri...
go_editor
13.9k
points
847
views
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asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
ages
percentage
+
–
1
votes
1
answer
447
CAT 2017 Set-1 | Question: 72
If a seller gives a discount of $15\%$ on retail price, she still makes a profit of $2\%$. Which of the following ensures that she makes a profit of $20\%$? Give a discount of $5\%$ on retail price Give a discount of $2\%$ on retail price Increase the retail price by $2\%$ Sell at retail price
If a seller gives a discount of $15\%$ on retail price, she still makes a profit of $2\%$. Which of the following ensures that she makes a profit of $20\%$?Give a discoun...
go_editor
13.9k
points
578
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
profit-loss
+
–
1
votes
1
answer
448
CAT 2017 Set-1 | Question: 71
Ravi invests $50\%$ of his monthly savings in fixed deposits. Thirty percent of the rest of his savings is invested in stocks and the rest goes into Ravi's savings bank account. If the total amount deposited by him in the bank (for savings account and fixed deposits) is Rs $59500$, then Ravi's total monthly savings (in Rs) is $71000$ $63000$ $50000$ $70000$
Ravi invests $50\%$ of his monthly savings in fixed deposits. Thirty percent of the rest of his savings is invested in stocks and the rest goes into Ravi's savings bank a...
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13.9k
points
711
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
percentage
+
–
1
votes
1
answer
449
CAT 2017 Set-1 | Question: 70
A man leaves his home and walks at a speed of $12$ km per hour, reaching the railway station $10$ minutes after the train had departed. If instead he had walked at a speed of $15$ km per hour, he would have reached the station $10$ minutes before the train's departure. The distance (in km) from his home to the railway station is $15$ $16$ $17$ None of these
A man leaves his home and walks at a speed of $12$ km per hour, reaching the railway station $10$ minutes after the train had departed. If instead he had walked at a spee...
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13.9k
points
526
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
speed-distance-time
+
–
1
votes
1
answer
450
CAT 2017 Set-1 | Question: 69
An elevator has a weight limit of $630$ kg. It is carrying a group of people of whom the heaviest weighs $57$ kg and the lightest weighs $53$ kg. What is the maximum possible number of people in the group? $12$ $13$ $11$ $14$
An elevator has a weight limit of $630$ kg. It is carrying a group of people of whom the heaviest weighs $57$ kg and the lightest weighs $53$ kg. What is the maximum poss...
go_editor
13.9k
points
686
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
average
+
–
2
votes
1
answer
451
CAT 2017 Set-1 | Question: 68
A person can complete a job in $120$ days. He works alone on Day $1$. On Day $2$, he is joined by another person who also can complete the job in exactly $120$ days. On Day $3$, they are joined by another person of equal efficiency. Like this, ... a new person with the same efficiency joins the work. How many days are required to complete the job? $15$ $35$ $23$ $40$
A person can complete a job in $120$ days. He works alone on Day $1$. On Day $2$, he is joined by another person who also can complete the job in exactly $120$ days. On D...
go_editor
13.9k
points
582
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
work-time
+
–
1
votes
1
answer
452
CAT 2017 Set-1 | Question: 73
A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by $75\%$. The ratio of the original speed of the motor boat to the speed of the river is $\sqrt{6}/\sqrt{2}$ $\sqrt{7}/2$ $2\sqrt{5}/3$ $3:2$
A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel...
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13.9k
points
621
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
speed-distance-time
boat-stream
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–
1
votes
1
answer
453
CAT 2017 Set-1 | Question: 80
A class consists of $20$ boys and $30$ girls. In the mid-semester examination, the average score of the girls was $5$ higher than that of the boys. In the final exam, however, the average score of the girls dropped by $3$ while the average score of the entire class increased by $2$. The increase in the average score of the boys is $9.5$ $10$ $4.5$ $6$
A class consists of $20$ boys and $30$ girls. In the mid-semester examination, the average score of the girls was $5$ higher than that of the boys. In the final exam, how...
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13.9k
points
592
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
average
+
–
1
votes
1
answer
454
CAT 2017 Set-1 | Question: 79
If $a$ and $b$ are integers of opposite signs such that $\left ( a+3 \right )^{2}:b^{2}= 9:1$ and $\left ( a-1 \right )^2 : \left ( b-1 \right )^2= 4:1$ , then the ratio $a^{2}:b^{2}$ is $9:4$ $81:4$ $1:4$ $25: 4$
If $a$ and $b$ are integers of opposite signs such that $\left ( a+3 \right )^{2}:b^{2}= 9:1$ and $\left ( a-1 \right )^2 : \left ( b-1 \right )^2= 4:1$ , then the ratio ...
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13.9k
points
686
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
ratio-proportion
+
–
0
votes
0
answers
455
CAT 2017 Set-1 | Question: 78
If Fatima sells $60$ identical toys at a $40\%$ discount on the printed price, then she makes $20\%$ profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should be given on the printed price so that she can make the same amount of profit? $30\%$ $25\%$ $24\%$ $28\%$
If Fatima sells $60$ identical toys at a $40\%$ discount on the printed price, then she makes $20\%$ profit. Ten of these toys are destroyed in fire. While selling the re...
go_editor
13.9k
points
425
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
profit-loss
+
–
2
votes
1
answer
456
CAT 2017 Set-1 | Question: 77
In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys $80$ kg good mangoes and $40$ kg medium quality mangoes from the market and then sells all these at a common price which is $10\%$ less than the price at which he bought the good ones. His overall profit is $6\%$ $8\%$ $10\%$ $12\%$
In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys $80$ kg good mangoes and $40$ kg medium quality mangoes from the market a...
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13.9k
points
461
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
profit-loss
+
–
2
votes
1
answer
457
CAT 2017 Set-1 | Question: 76
A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio $7: 17: 16$ for popcorn and $6: 15: 14$ for chips. If the total number of popcorn packets ... packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio $1:1$ $8:7$ $4:3$ $6:5$
A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio $7: 17: 1...
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13.9k
points
542
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
ratio-proportion
+
–
2
votes
1
answer
458
CAT 2017 Set-1 | Question: 75
The number of girls appearing for an admission test is twice the number of boys. If $30\%$ of the girls and $45\%$ of the boys get admission, the percentage of candidates who do not get admission is $35$ $50$ $60$ $65$
The number of girls appearing for an admission test is twice the number of boys. If $30\%$ of the girls and $45\%$ of the boys get admission, the percentage of candidates...
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13.9k
points
581
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
percentage
+
–
1
votes
1
answer
459
CAT 2017 Set-1 | Question: 74
Suppose, $\text{C1, C2, C3, C4}$, and $\text{C5}$ are five companies. The profits made by $\text{C1, C2}$, and $\text{C3}$ are in the ratio $9: 10: 8$ while the profits made by $\text{C2, C4}$, and $\text{C5}$ ... crore more than $\text{C1}$, then the total profit (in Rs) made by all five companies is $438$ crore $435$ crore $348$ crore $345$ crore
Suppose, $\text{C1, C2, C3, C4}$, and $\text{C5}$ are five companies. The profits made by $\text{C1, C2}$, and $\text{C3}$ are in the ratio $9: 10: 8$ while the profits m...
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13.9k
points
518
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
profit-loss
+
–
1
votes
1
answer
460
CAT 2017 Set-1 | Question: 86
Let $\text{ABC}$ be a right-angled triangle with $\text{BC}$ as the hypotenuse. Lengths of $\text{AB}$ and $\text{AC}$ are $15$ km and $20$ km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from $\text{A}$ at a speed of $30$ km per hour is $23$ $22$ None of these $24$
Let $\text{ABC}$ be a right-angled triangle with $\text{BC}$ as the hypotenuse. Lengths of $\text{AB}$ and $\text{AC}$ are $15$ km and $20$ km, respectively. The minimum ...
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13.9k
points
513
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
geometry
+
–
1
votes
1
answer
461
CAT 2017 Set-1 | Question: 83
Let $\text{ABC}$ be a right-angled isosceles triangle with hypotenuse $\text{BC}$. Let $\text{BQC}$ be a semi-circle, away from A, with diameter $\text{BC}$. Let $\text{BPC}$ be an arc of a circle centered at $\text{A}$ and lying between $\text{BC}$ ... the area, in sq cm, of the region enclosed by $\text{BPC}$ and $\text{BQC}$ is $9 \pi-18$ $18$ $9\pi$ $9$
Let $\text{ABC}$ be a right-angled isosceles triangle with hypotenuse $\text{BC}$. Let $\text{BQC}$ be a semi-circle, away from A, with diameter $\text{BC}$. Let $\text{B...
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13.9k
points
713
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
geometry
+
–
2
votes
1
answer
462
CAT 2017 Set-1 | Question: 84
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio $1: 1:8: 27: 27$. The percentage by which the sum of the surface areas of these five cubes exceeds the surface area of the original cube is nearest to $10$ $50$ $60$ $20$
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio $1: 1:8: 27: 27$. The percentage by which the sum of the surface areas of these fi...
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13.9k
points
524
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
mensuration
+
–
0
votes
0
answers
463
CAT 2017 Set-1 | Question: 82
From a triangle $\text{ABC}$ with sides of lengths $40$ ft, $25$ ft and $35$ ft, a triangular portion $\text{GBC}$ is cut off where $\text{G}$ is the centroid of $\text{ABC}$. The area, in sq ft, of the remaining portion of triangle $\text{ABC}$ is $225 \sqrt{3} \\$ $\dfrac{500}{ \sqrt{3}} \\$ $\dfrac{275 }{\sqrt{3}} \\$ $\dfrac{250 }{\sqrt{3}} $
From a triangle $\text{ABC}$ with sides of lengths $40$ ft, $25$ ft and $35$ ft, a triangular portion $\text{GBC}$ is cut off where $\text{G}$ is the centroid of $\text{A...
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13.9k
points
342
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
geometry
+
–
1
votes
1
answer
464
CAT 2017 Set-1 | Question: 81
The area of the closed region bounded by the equation $\mid x \mid+\mid y \mid= 2$ in the two-dimensional plane is $4\pi$ $4$ $8$ $2\pi$
The area of the closed region bounded by the equation $\mid x \mid+\mid y \mid= 2$ in the two-dimensional plane is $4\pi$$4$$8$$2\pi$
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13.9k
points
494
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
absolute-value
+
–
1
votes
1
answer
465
CAT 2017 Set-1 | Question: 85
A ball of diameter $4$ cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is $3$ cm, while its volume is $9\pi \;\text{cm}^{3}$. Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is $5$ $4$ $3$ $6$
A ball of diameter $4$ cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is $3$ cm, while its volume is $9\pi \;\text{cm}^{3}$. Then ...
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13.9k
points
505
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
mensuration
+
–
0
votes
0
answers
466
CAT 2017 Set-1 | Question: 91
The number of solutions $\left ( x, y, z \right )$ to the equation $x-y-z=25$, where $x, y,$ and $z$ are positive integers such that $x\leq 40,y\leq 12,$ and $z\leq 12,$ is $101$ $99$ $87$ $105$
The number of solutions $\left ( x, y, z \right )$ to the equation $x-y-z=25$, where $x, y,$ and $z$ are positive integers such that $x\leq 40,y\leq 12,$ and $z\leq 12,$ ...
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13.9k
points
333
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
number-systems
+
–
1
votes
1
answer
467
CAT 2017 Set-1 | Question: 92
For how many integers $n$, will the inequality $\left ( n-5 \right )\left ( n-10 \right )-3\left ( n-2 \right )\leq 0$ be satisfied? $10$ $11$ $12$ $9$
For how many integers $n$, will the inequality $\left ( n-5 \right )\left ( n-10 \right )-3\left ( n-2 \right )\leq 0$ be satisfied?$10$$11$$12$$9$
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13.9k
points
482
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
inequalities
+
–
1
votes
1
answer
468
CAT 2017 Set-1 | Question: 90
If $9^{2x-1}-81^{x-1}= 1944$ then $x$ is $3$ $9/4$ $4/9$ $1/3$
If $9^{2x-1}-81^{x-1}= 1944$ then $x$ is$3$$9/4$$4/9$$1/3$
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13.9k
points
610
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
algebra
+
–
1
votes
1
answer
469
CAT 2017 Set-1 | Question: 89
The value of $\log_{0.008}\sqrt{5}+\log_{\sqrt{3}}81-7$ is equal to $1/3$ $2/3$ $5/6$ $7/6$
The value of $\log_{0.008}\sqrt{5}+\log_{\sqrt{3}}81-7$ is equal to$1/3$$2/3$$5/6$$7/6$
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13.9k
points
494
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
logarithms
+
–
1
votes
1
answer
470
CAT 2017 Set-1 | Question: 88
If $x+1= x^{2}$ and $x> 0$, then $2x^{4}$ is $6+4\sqrt{5}$ $3+5\sqrt{5}$ $5+3\sqrt{5}$ $7+3\sqrt{5}$
If $x+1= x^{2}$ and $x 0$, then $2x^{4}$ is$6+4\sqrt{5}$$3+5\sqrt{5}$$5+3\sqrt{5}$$7+3\sqrt{5}$
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13.9k
points
626
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
algebra
+
–
1
votes
1
answer
471
CAT 2017 Set-1 | Question: 87
Suppose, $\log_{3}x= \log_{12}y= a$, where $x, y$ are positive numbers. If $\text{G}$ is the geometric mean of $x$ and $y$, and $\log_{6}\text{G}$ is equal to $\sqrt{a}$ $2a$ $a/2$ $a$
Suppose, $\log_{3}x= \log_{12}y= a$, where $x, y$ are positive numbers. If $\text{G}$ is the geometric mean of $x$ and $y$, and $\log_{6}\text{G}$ is equal to$\sqrt{a}$$2...
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13.9k
points
673
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
geometric-progression
geometric-mean
+
–
1
votes
1
answer
472
CAT 2017 Set-1 | Question: 98
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$ $20$ $14$ $15$
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$$...
go_editor
13.9k
points
549
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
permutation-combination
+
–
0
votes
1
answer
473
CAT 2017 Set-1 | Question: 96
The shortest distance of the point $\left ( \frac{1}{2}, 1 \right )$ from the curve $y=\mid x-1 \mid+\mid x+1 \mid$ is $1$ $0$ $\sqrt{2}$ $\sqrt{\dfrac{3}{2}}$
The shortest distance of the point $\left ( \frac{1}{2}, 1 \right )$ from the curve $y=\mid x-1 \mid+\mid x+1 \mid$ is $1$$0$$\sqrt{2}$$\sqrt{\dfrac{3}{2}}$
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13.9k
points
461
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
absolute-value
+
–
1
votes
1
answer
474
CAT 2017 Set-1 | Question: 95
Let $\text{AB, CD, EF, GH}$, and $\text{JK}$ be five diameters of a circle with center at $\text{O}$. In how many ways can three points be chosen out of $\text{A, B, C, D, E, F, G, H, J, K,} $ and $\text{O}$ so as to form a triangle? $160$ $159$ $169$ $150$
Let $\text{AB, CD, EF, GH}$, and $\text{JK}$ be five diameters of a circle with center at $\text{O}$. In how many ways can three points be chosen out of $\text{A, B, C, D...
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13.9k
points
619
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
geometry
+
–
1
votes
1
answer
475
CAT 2017 Set-1 | Question: 94
If $a, b, c$ and $d$ are integers such that $a+b+c+d=30$ , then the minimum possible value of $( a-b )^{2}+( a-c )^{2}+( a-d)^{2}$ is $1$ $2$ $5$ $6$
If $a, b, c$ and $d$ are integers such that $a+b+c+d=30$ , then the minimum possible value of $( a-b )^{2}+( a-c )^{2}+( a-d)^{2}$ is $1$$2$$5$$6$
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13.9k
points
462
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
algebra
+
–
1
votes
1
answer
476
CAT 2017 Set-1 | Question: 93
If $f_{1}\left ( x \right )=x^{2}+11x+n$ and $f_{2}\left ( x \right )=x$, then the largest positive integer $n$ for which the equation $f_{1}\left ( x \right )=f_{2}\left ( x \right )$ has two distinct real roots, is $24$ $23$ $19$ $10$
If $f_{1}\left ( x \right )=x^{2}+11x+n$ and $f_{2}\left ( x \right )=x$, then the largest positive integer $n$ for which the equation $f_{1}\left ( x \right )=f_{2}\left...
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Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
quadratic-equations
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1
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1
answer
477
CAT 2017 Set-1 | Question: 97
If the square of the $7^{\text{th}}$ term of an arithmetic progression with positive common difference equals the products of the $3^{\text{rd}}$ and $17^{\text{th}}$ terms, then the ratio of the first term to the common difference is $2:3$ $3:2$ $3:4$ $4:3$
If the square of the $7^{\text{th}}$ term of an arithmetic progression with positive common difference equals the products of the $3^{\text{rd}}$ and $17^{\text{th}}$ ter...
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Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
arithmetic-progression
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1
votes
1
answer
478
CAT 2017 Set-1 | Question: 99
If $f( x)=\dfrac{5x+2}{ 3x-5}$ and $g( x )=x^{2}-2x-1,$ then the value of $g( f( f( 3 ) ) )$ is $2$ $1/3$ $6$ $2/3$
If $f( x)=\dfrac{5x+2}{ 3x-5}$ and $g( x )=x^{2}-2x-1,$ then the value of $g( f( f( 3 ) ) )$ is $2$$1/3$$6$$2/3$
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Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
functions
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1
votes
1
answer
479
CAT 2017 Set-1 | Question: 100
Let $a_{1}, a_{2},\ldots, a_{3n}$ be an arithmetic progression with $a_{1} = 3$ and $a_{2}=7$. If $a_{1}+ a_{2}+\ldots +a_{3n}=1830$, then what is the smallest positive integer $m$ such that $m(a_{1}+ a_{2}+ \ldots + a_{n})>1830$? $8$ $9$ $10$ $11$
Let $a_{1}, a_{2},\ldots, a_{3n}$ be an arithmetic progression with $a_{1} = 3$ and $a_{2}=7$. If $a_{1}+ a_{2}+\ldots +a_{3n}=1830$, then what is the smallest positive...
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625
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Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
arithmetic-progression
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0
votes
0
answers
480
CAT 2016 | Question: 68
A cube of side $12\; \text{cm}$ is painted red on all the faces and then cut into smaller cubes, each of side $3 \text{cm}$. What is the total number of smaller cubes having none of their faces painted _________
A cube of side $12\; \text{cm}$ is painted red on all the faces and then cut into smaller cubes, each of side $3 \text{cm}$. What is the total number of smaller cubes hav...
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Quantitative Aptitude
cat2016
quantitative-aptitude
mensuration
numerical-answer
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