Recent questions tagged cat1999

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96
If $n^2= 12345678987654321$, what is n?12344321123578911111111111111111
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101
If $n = 1+ x$ where $x$ is the product of four consecutive positive integers, then which of the following is/are true?n is oddn is primen is a perfect squareA and C onlyA...
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102
If $|r − 6| = 11$ and $|2q − 12| = 8$, what is the minimum possible value of $\frac{q}{r}$?$- \frac{2}{5}$$\frac{2}{17}$$\frac{10}{17}$None of these
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106
For a scholarship, at the most n candidates out of 2n + 1 can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum numbe...
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107
Ten points are marked on a straight-line and 11 points are marked on another straight-line. How many triangles can be constructed with vertices from among the above point...
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108
The remainder when 7$^{84}$ is divided by 342 is0149341
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109
Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if $(ab)^2= c...
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110
The number of positive integer valued pairs (x, y) satisfying $4x – 17y = 1$ and $x \leq 1000$ is59575558