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Recent questions tagged quantitative-aptitude

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81

CAT 2021 Set-2 | Quantitative Aptitude | Question: 1
Consider the pair of equations: $x^{2} – xy – x = 22$ and $y^{2} – xy + y = 34.$ If $x>y,$ then $x – y$ equals $7$ $8$ $6$ $4$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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82

CAT 2021 Set-2 | Quantitative Aptitude | Question: 2
Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is $70 \%.$ His share of profit decreases by $₹ \; 420$ ... $17 \%.$ The amount, $\text{in INR},$ invested by Bobby is $2400$ $2200$ $2000$ $1800$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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83

CAT 2021 Set-2 | Quantitative Aptitude | Question: 3
If a rhombus has area $12 \; \text{sq cm}$ and side length $5 \; \text{cm},$ then the length, $\text{in cm},$ of its longer diagonal is $\sqrt{13} + \sqrt{12}$ $\sqrt{37} + \sqrt{13}$ $\frac{\sqrt{37} + \sqrt{13}}{2}$ $\frac{\sqrt{13} + \sqrt{12}}{2}$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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84

CAT 2021 Set-2 | Quantitative Aptitude | Question: 4
The number of ways of distributing $15$ identical balloons, $6$ identical pencils and $3$ identical erasers among $3$ children, such that each child gets at least four balloons and one pencil, is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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85

CAT 2021 Set-2 | Quantitative Aptitude | Question: 5
For a sequence of real numbers $x_{1}, x_{2}, \dots , x_{n},$ if $x_{1} – x_{2} + x_{3} – \dots + (-1)^{n+1} x_{n} = n^{2} + 2n$ for all natural numbers $n,$ then the sum $x_{49} + x_{50}$ equals $2$ $-2$ $200$ $-200$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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86

CAT 2021 Set-2 | Quantitative Aptitude | Question: 6
For a real number $x$ the condition $|3x – 20| + |3x – 40| = 20$ necessarily holds if $9 < x < 14$ $6 < x < 11$ $7 < x < 12$ $10 < x < 15$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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87

CAT 2021 Set-2 | Quantitative Aptitude | Question: 7
A box has $450$ balls, each either white or black, there being as many metallic white balls as metallic black balls. If $40 \%$ of the white balls and $50 \%$ of the black balls are metallic, then the number of non-metallic balls in the box is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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88

CAT 2021 Set-2 | Quantitative Aptitude | Question: 8
The sides $\text{AB}$ and $\text{CD}$ of a trapezium $\text{ABCD}$ are parallel, with $\text{AB}$ being the smaller side. $\text{P}$ is the midpoint of $\text{CD}$ and $\text{ABPD}$ is a parallelogram. If the difference between the areas of the ... $\text{in sq cm},$ of the trapezium $\text{ABCD}$ is $25$ $30$ $40$ $20$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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89

CAT 2021 Set-2 | Quantitative Aptitude | Question: 9
Raj invested $₹ \; 10000$ in a fund. At the end of first year, he incurred a loss but his balance was more than $₹ \; 5000.$ This balance, when invested for another year, grew and the percentage of growth in the second year was five times the ... over the two period is $35 \%,$ then the percentage of loss in the first year is $15$ $10$ $70$ $5$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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90

CAT 2021 Set-2 | Quantitative Aptitude | Question: 10
Three positive integers $x,y$ and $z$ are in arithmetic progression. If $y – x > 2$ and $xyz = 5(x+y+z),$ then $z-x$ equals $12$ $8$ $14$ $10$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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91

CAT 2021 Set-2 | Quantitative Aptitude | Question: 11
In a football tournament, a player has played a certain number of matches and $10$ more matches are to be played. If he scores a total of one goal over the next $10$ matches, his overall average will be $0.15$ goals per match. On ... the next $10$ matches, his overall average will be $0.2$ goals per match. The number of matches he has played is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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92

CAT 2021 Set-2 | Quantitative Aptitude | Question: 12
For all possible integers $n$ satisfying $2.25 \leq 2 + 2^{n+2} \leq 202,$ the number of integer values of $3 + 3^{n+1}$ is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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93

CAT 2021 Set-2 | Quantitative Aptitude | Question: 13
Anil can paint a house in $60 \; \text{days}$ while Bimal can paint it in $84 \; \text{days}.$ Anil starts painting and after $10 \; \text{days},$ Bimal and Charu join him. Together, they complete the painting in $14$ more days. If ... then the share of Charu, $\text{in INR},$ proportionate to the work done by him, is $9150$ $9100$ $9000$ $9200$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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94

CAT 2021 Set-2 | Quantitative Aptitude | Question: 14
Let $\text{D}$ and $\text{E}$ be points on sides $\text{AB}$ and $\text{AC},$ respectively, of a triangle $\text{ABC},$ such that $\text{AD}$ : $\text{BD} = 2 : 1$ and $\text{AE}$ : $\text{CE} = 2 : 3.$ If the area of the triangle $\text{ADE}$ is $8 \; \text{sq cm},$ then the area of the triangle $\text{ABC, in sq cm},$ is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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95

CAT 2021 Set-2 | Quantitative Aptitude | Question: 15
For all real values of $x,$ the range of the function $f(x) = \dfrac{x^{2} + 2x + 4}{2x^{2} + 4x + 9}$ is $ \left(\frac{3}{7}, \frac{1}{2} \right)$ $ \left[\frac{3}{7}, \frac{1}{2} \right)$ $ \left[\frac{3}{7}, \frac{8}{9} \right)$ $ \left[\frac{4}{9}, \frac{8}{9} \right]$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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96

CAT 2021 Set-2 | Quantitative Aptitude | Question: 16
Suppose one of the roots of the equation $ax^{2} – bx + c = 0$ is $2 + \sqrt{3},$ where $a, b$ and $c$ are rational numbers and $a \neq 0.$ If $b = c^{3}$ then $|a|$ equals $2$ $4$ $1$ $3$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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97

CAT 2021 Set-2 | Quantitative Aptitude | Question: 17
Two trains $\text{A}$ and $\text{B}$ were moving in opposite directions, their speeds being in the ratio $5:3.$ The front end of $\text{A}$ crossed the rear end of $\text{B} \; 46 \; \text{seconds}$ after the front ends of the trains had crossed each ... ratio of length of train $\text{A}$ to that of train $\text{B}$ is $2:3$ $2:1$ $3:2$ $5:3$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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98

CAT 2021 Set-2 | Quantitative Aptitude | Question: 19
If $\log_{2} [3+ \log_{3} \{ 4+ \log_{4} (x-1) \}] – 2 = 0$ then $4x$ equals

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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99

CAT 2021 Set-2 | Quantitative Aptitude | Question: 20
Two pipes $\text{A}$ and $\text{B}$ are attached to an empty water tank. Pipe $\text{A}$ fills the tank while pipe $\text{B}$ drains it. If pipe $\text{A}$ is opened at $2 \; \text{pm}$ and pipe $\text{B}$ ... If pipe $\text{B}$ is not opened at all, then the time, in minutes, taken to fill the tank is $140$ $264$ $144$ $120$

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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100

CAT 2021 Set-2 | Quantitative Aptitude | Question: 21
From a container filled with milk, $9 \; \text{litres}$ of milk are drawn and replaced with water. Next, from the same container, $9 \; \text{litres}$ are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of $16:9,$ then the capacity of the container, in $\text{litres},$ is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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101

CAT 2021 Set-2 | Quantitative Aptitude | Question: 22
For a $4$-digit number, the sum of its digits in the thousands, hundreds and tens places is $14,$ the sum of its digits in the hundreds, tens and units places is $15,$ and the tens place digit is $4$ more than the units place digit. Then the highest possible $4$-digit number satisfying the above conditions is

soujanyareddy13 asked in Quantitative Aptitude Jan 20, 2022

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102

CAT 2021 Set-1 | Quantitative Aptitude | Question: 1
How many three-digit numbers are greater than $100$ and increase by $198$ when the three digits are arranged in the reverse order?

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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103

CAT 2021 Set-1 | Quantitative Aptitude | Question: 2
A basket of $2$ apples, $4$ oranges and $6$ mangoes costs the same as a basket of $1$ apple, $4$ oranges and $8$ mangoes, or a basket of $8$ oranges and $7$ mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is : $12$ $10$ $11$ $13$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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104

CAT 2021 Set-1 | Quantitative Aptitude | Question: 3
The natural numbers are divided into groups as $(1), (2,3,4), (5,6,7,8,9), \dots $ and so on. Then, the sum of the numbers in the $15 \text{th}$ group is equal to $6090$ $4941$ $6119$ $7471$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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105

CAT 2021 Set-1 | Quantitative Aptitude | Question: 4
Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in $1 \; \text{year},$ Akbar and Anthony can complete in $16$ ... person who is neither the faster nor the slowest works alone, the time in months he will take to complete the project is

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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106

CAT 2021 Set-1 | Quantitative Aptitude | Question: 5
Anu, Vinu and Manu can complete a work alone in $15 \; \text{days}, 12 \; \text{days}$ and $20 \; \text{days},$ respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on ... days starting from the second day. Then, the number of days needed to complete the work is $6$ $5$ $8$ $7$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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107

CAT 2021 Set-1 | Quantitative Aptitude | Question: 6
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in $6 \; \text{days}.$The amount Sita and Neeta together earn in a day equals what Geeta alone earns in $2 \; \text{days}.$ The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is $7 : 3$ $3 : 2$ $11 : 3$ $11 : 7$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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108

CAT 2021 Set-1 | Quantitative Aptitude | Question: 7
If the area of a regular hexagon is equal to the area of an equilateral triangle of side $12 \; \text{cm},$ then the length, in cm, of each side of the hexagon is $6 \sqrt{6}$ $2 \sqrt{6}$ $4 \sqrt{6}$ $\sqrt{6}$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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109

CAT 2021 Set-1 | Quantitative Aptitude | Question: 8
$f(x) = \dfrac{x^{2} + 2x – 15}{x^{2} – 7x – 18}$ is negative if and only if $ – 2 < x < 3 \; \text{or} \; x > 9 $ $ x < – 5 \; \text{or} \; 3 < x < 9 $ $ – 5 < x < – 2 \; \text{or} \; 3 < x < 9 $ $ x < – 5 \; \text{or} \; – 2 < x < 3 $

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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110

CAT 2021 Set-1 | Quantitative Aptitude | Question: 9
Amal purchases some pens at $₹ \; 8$ each. To sell these, he hires an employee at a fixed wage. He sells $100$ of these pens at $₹ \; 12$ each. If the remaining pens are sold at $₹ \; 11$ ... of $₹ \; 300$ if the remaining pens are sold at $₹ \; 9$ each. The wage of the employee, in $\text{INR},$ is

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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111

CAT 2021 Set-1 | Quantitative Aptitude | Question: 10
The number of groups of three or more distinct numbers that can be chosen from $1, 2, 3, 4, 5, 6, 7,$ and $8$ so that the groups always include $3$ and $5,$ while $7$ and $8$ are never included together is

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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112

CAT 2021 Set-1 | Quantitative Aptitude | Question: 11
The strength of an indigo solution in percentage is equal to the amount of indigo in grams per $100 \; \text{cc}$ of water. Two $800 \; \text{cc}$ bottles are filled with indigo solutions of strengths $33 \%$ and $17 \%,$ ... the first bottle has now changed to $21 \%$ then the volume, in cc, of the solution left in the second bottle is

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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113

CAT 2021 Set-1 | Quantitative Aptitude | Question: 12
Suppose the length of each side of a regular hexagon $\text{ABCDEF}$ is $2 \; \text{cm}.$ It $\text{T}$ is the mid point of $\text{CD},$ then the length of $\text{AT, in cm},$ is $\sqrt{15}$ $\sqrt{13}$ $\sqrt{12}$ $\sqrt{14}$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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114

CAT 2021 Set-1 | Quantitative Aptitude | Question: 13
If $r$ is a constant such that $|x^{2} – 4x -13| = r$ has exactly three distinct real roots, then the value of $r$ is $15$ $18$ $17$ $21$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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115

CAT 2021 Set-1 | Quantitative Aptitude | Question: 14
If $x_{0} = 1, x_{1} = 2$ and $x_{n+2} = \dfrac{1 + x_{n+1}}{x_{n}}, n = 0, 1, 2, 3, \dots ,$ then $x_{2021}$ is equal to $1$ $3$ $4$ $2$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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116

CAT 2021 Set-1 | Quantitative Aptitude | Question: 15
If $5 – \log_{10} \sqrt{1+x} + 4 \log_{10} \sqrt{1-x} = \log_{10} \frac{1}{\sqrt{1-x^{2}}},$ then $100x$ equals

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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117

CAT 2021 Set-1 | Quantitative Aptitude | Question: 16
Suppose hospital $\text{A}$ admitted $21$ less Covid infected patients than hospital $\text{B},$ and all eventually recovered. The sum of recovery days for patients in hospitals $\text{A}$ and $\text{B}$ were $200$ and $152,$ ... $3$ more than the average in hospital $\text{B}$ then the number admitted in hospital $\text{A}$ was

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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118

CAT 2021 Set-1 | Quantitative Aptitude | Question: 17
The number of integers $n$ that satisfy the inequalities $ |n – 60| < |n – 100| < |n – 20|$ is $18$ $19$ $21$ $20$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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119

CAT 2021 Set-1 | Quantitative Aptitude | Question: 18
Two trains cross each other in $14 \; \text{seconds}$ when running in opposite directions along parallel tracks. The faster train is $160 \; \text{m}$ long and crosses a lamp post in $12 \; \text{seconds}.$ If the speed of the other train is $6 \; \text{km/hr}$ less than the faster one, its length, in $\text{m},$ is $190$ $192$ $184$ $180$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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120

CAT 2021 Set-1 | Quantitative Aptitude | Question: 19
Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are $₹ \; 806.25$ and $₹ \; 866.72,$ respectively, the interest accrued, in $\text{INR},$ during the fourth year is nearest to $934.65$ $929.48$ $926.84$ $931.72$

soujanyareddy13 asked in Quantitative Aptitude Jan 19, 2022

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Recent questions tagged quantitative-aptitude