Recent questions tagged cat2014

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During the construction of the Quebec Bridge in $1907,$ the bridge's designer, Theodore Cooper, received word that the suspended span being built out from the bridge's ca...
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During the construction of the Quebec Bridge in $1907,$ the bridge's designer, Theodore Cooper, received word that the suspended span being built out from the bridge's ca...
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A quadratic function $ƒ(x)$ attains a maximum of $3$ at $x = 1$. The value of the function at $x = 0$ is $1$. What is the value $ƒ(x)$ at $x = 10$? $–119$ $–159$ $�...
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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? $3$ $2$ $4$ $1$
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Suppose you have a currency, named Rubble, in three denominations: $1$ Rubble, $10$ Rubbles and $50$ Rubbles. In how many ways can you pay a bill of $95$ Rubbles? $15$ $1...
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Let $a_{n+1}= 2 a_{n}+1 ({n}=0, 1, 2,\dots)$ and $a_{0}=0$. Then $a_{10}$ nearest to.$1023$$2047$$4095$$8195$
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John bought five toffees and ten chocolates together for forty rupees. Subsequently, he returned one toffee and got two chocolates in exchange. The price of an chocolate ...
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A lead cuboid of $8$ inches in length, $11$ inches in breadth, and $2$ inches thick was melted and resolidified into the form of a rod of $8$ inches diameter. The length ...
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A box contains $6$ red balls, $7$ green balls and $5$ blue balls. Each ball is of a different size. The probability that the red ball selected is the smallest red ball, i...
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A five digit number is formed using digits $1, 3, 5, 7$ and $9$ without repeating any one of them. What is the sum of all such possible numbers? $6666600$ $6666660$ $6666...