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Recent questions tagged number-systems
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CAT 2006 | Question: 73
The number of employees in Obelix Menhor Co. is a prime number and is less than $300.$ The ratio of the number of employees who are graduates and above, to that of employees who are not, possibly be $101:88$ $87:100$ $110:111$ $85:98$ $97:84$
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Quantitative Aptitude
Dec 28, 2015
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cat2006
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1
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122
CAT 2006 | Question: 70
When you reverse the digits of the number $13,$ the number increases by $18.$ How many other two digit numbers increase by $18$ when their digits are reversed? $5$ $6$ $7$ $8$ $10$
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Quantitative Aptitude
Dec 28, 2015
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cat2006
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number-systems
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123
CAT 2006 | Question: 67
The below question are based on the information given below: An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have $60$ kg of luggage between them, and are charged Rs. $1200$ and Rs. $2400$ ... Rs. $5400.$ What is the weight of Praja's luggage? $20$ kg $25$ kg $30$ kg $35$ kg $40$ kg
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Quantitative Aptitude
Dec 28, 2015
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cat2006
quantitative-aptitude
number-systems
0
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1
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124
CAT 2006 | Question: 60
The sum of four consecutive two digit odd numbers, when divided by $10,$ becomes a perfect square. Which of the following can possibly be one of these four numbers? $21$ $25$ $41$ $67$ $73$
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Quantitative Aptitude
Dec 28, 2015
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13.4k
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cat2006
quantitative-aptitude
number-systems
0
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125
CAT 2006 | Question: 59
A survey was conducted of $100$ people to find out whether that had read recent issue of Golmol, a monthly magazine. The summarized information regarding readership in $3$ months is given below: Only September $:18;$ September but not August $:23 ;$ September and ... number of surveyed people who have read exactly two consecutive issues (out of three)? $7$ $9$ $12$ $14$ $17$
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Quantitative Aptitude
Dec 28, 2015
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13.4k
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165
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cat2006
quantitative-aptitude
number-systems
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1
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126
CAT 2006 | Question: 52
Which among $2^{\frac{1}{2}} , 3^{\frac{1}{3}}, 4^{\frac{1}{4}}, 6^{\frac{1}{6}} \text{ and } 12^{\frac{1}{12}}$ is the largest? $2^{\frac{1}{2}}$ $3^{\frac{1}{3}}$ $4^{\frac{1}{4}}$ $6^{\frac{1}{6}}$ $12^{\frac{1}{12}}$
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Quantitative Aptitude
Dec 28, 2015
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13.4k
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cat2006
quantitative-aptitude
number-systems
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1
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127
CAT 2006 | Question: 51
If $x=-0.5$ then which of the following has the smallest value? $2^{\frac{1}{x}}$ $\frac{1}{x}$ $\frac{1}{x^2}$ $2^x$ $\frac{1}{\sqrt{-x}}$
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Quantitative Aptitude
Dec 28, 2015
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349
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cat2006
quantitative-aptitude
number-systems
2
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0
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128
CAT 2007 | Question: 14
Directions for the below question: Let $a_1=p$ and $b_1 =q$ where $p$ and $q$ are positive quantities. Define: $a_n pb_{n-1} \: \: \: b_n=qb_{n-1}$ for even $n>1$ and $a_n pa_{n-1} \: \: \: b_n=qa_{n-1}$ for odd $n>1$ Which of the following best describes $a_n + b_n$ for even ... $q^{\frac{1}{2} n} (p+q)$ $q^{\frac{1}{2} n} (p+q)^{\frac{1}{2}n}$
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Quantitative Aptitude
Dec 6, 2015
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1
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129
CAT 2007 | Question: 10
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? $3$ $2$ $4$ $0$ $1$
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Quantitative Aptitude
Dec 6, 2015
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13.4k
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664
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cat2007
quantitative-aptitude
number-systems
2
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1
answer
130
CAT 2008 | Question: 25
suppose, the seed of any positive integer $n$ is defined as follows: seed$(n) = n,$ if $n < 10$ $=$seed$(s(n)),$ otherwise where $s(n)$ indicates the sum of digits $n.$ For example, seed$(7)=7,$ seed$(248) =$ seed$(2+4+8) =$ seed$(14) =$ ... $(5) = 5$ etc. How many positive integers $n,$ such that $n <500,$ will have seed$(n) =9?$ $39$ $72$ $81$ $108$ $55$
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Quantitative Aptitude
Nov 29, 2015
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484
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cat2008
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number-systems
0
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131
CAT 2008 | Question: 20
Three consecutive positive integers are raised to the first, second and third powers respectively and then added. The sum so obtained is a perfect square root equals to the total of the three originals integers. Which of the following best describes the minimum, say m, of these three integers? ... $7 \leq m \leq 9$ $10 \leq m \leq 12$ $13 \leq m \leq 15$
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Quantitative Aptitude
Nov 28, 2015
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cat2008
quantitative-aptitude
number-systems
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132
CAT 2008 | Question: 17
The integers $1, 2, \dots, 40$ are written on a blackboard. The following operation is then repeated $39$ times. In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new number $a+b-1$ is written. What will be the number left on the board at the end? $820$ $821$ $781$ $819$ $780$
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Quantitative Aptitude
Nov 28, 2015
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149
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cat2008
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number-systems
0
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2
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133
CAT 2008 | Question: 06
What are the last two digits of $7^{2008}?$ $21$ $61$ $01$ $41$ $81$
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Quantitative Aptitude
Nov 26, 2015
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458
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