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Recent questions tagged number-systems

1 votes
1 answer
121
CAT 2005 | Question: 01
If $x=(16^3 +17^3 + 18^3 + 19^3)$ then $x$ divided by $70$ leaves a remainder of $0$ $1$ $69$ $35$
If $x=(16^3 +17^3 + 18^3 + 19^3)$ then $x$ divided by $70$ leaves a remainder of $0$$1$$69$$35$
0 votes
1 answer
122
CAT 2006 | Question: 73
The number of employees in Obelix Menhor Co. is a prime number and is less than $300.$ The ratio of the number of employees who are graduates and above, to that of employees who are not, possibly be $101:88$ $87:100$ $110:111$ $85:98$ $97:84$
The number of employees in Obelix Menhor Co. is a prime number and is less than $300.$ The ratio of the number of employees who are graduates and above, to that of employ...
0 votes
1 answer
123
CAT 2006 | Question: 70
When you reverse the digits of the number $13,$ the number increases by $18.$ How many other two digit numbers increase by $18$ when their digits are reversed? $5$ $6$ $7$ $8$ $10$
When you reverse the digits of the number $13,$ the number increases by $18.$ How many other two digit numbers increase by $18$ when their digits are reversed?$5$$6$$7$$8...
0 votes
1 answer
125
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? $21$ $25$ $41$ $67$ $73$
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$$2...
0 votes
1 answer
127
CAT 2006 | Question: 52
Which among $2^{\frac{1}{2}} , 3^{\frac{1}{3}}, 4^{\frac{1}{4}}, 6^{\frac{1}{6}} \text{ and } 12^{\frac{1}{12}}$ is the largest? $2^{\frac{1}{2}}$ $3^{\frac{1}{3}}$ $4^{\frac{1}{4}}$ $6^{\frac{1}{6}}$ $12^{\frac{1}{12}}$
Which among $2^{\frac{1}{2}} , 3^{\frac{1}{3}}, 4^{\frac{1}{4}}, 6^{\frac{1}{6}} \text{ and } 12^{\frac{1}{12}}$ is the largest?$2^{\frac{1}{2}}$$3^{\frac{1}{3}}$$4^{\fra...
0 votes
1 answer
128
CAT 2006 | Question: 51
If $x=-0.5$ then which of the following has the smallest value? $2^{\frac{1}{x}}$ $\frac{1}{x}$ $\frac{1}{x^2}$ $2^x$ $\frac{1}{\sqrt{-x}}$
If $x=-0.5$ then which of the following has the smallest value?$2^{\frac{1}{x}}$$\frac{1}{x}$$\frac{1}{x^2}$$2^x$$\frac{1}{\sqrt{-x}}$
1 votes
1 answer
130
CAT 2007 | Question: 10
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? $3$ $2$ $4$ $0$ $1$
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?$3$$2$$4$$0$$1$
0 votes
2 answers
134
CAT 2008 | Question: 06
What are the last two digits of $7^{2008}?$ $21$ $61$ $01$ $41$ $81$
What are the last two digits of $7^{2008}?$$21$$61$$01$$41$$81$
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