Recent questions tagged cat2000

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82
Each question is followed by two statements, I and II. Answer each question using the following instructions.Mark the answer asChoose $1$ if the question can be answered ...
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106
Convert the number $1982$ from base $10$ to base $12.$ The result is$1182$$1912$$1192$$1292$
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107
For all non-negative integers $x$ and $y, f(x, y)$ is defined as below$f(0, y) = y + 1$$f(x + 1, 0) = f(x, 1)$$f(x + 1,y + 1) = f(x, f(x + 1, y))$Then, what is the value ...
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112
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}.$ Then $\measuredangle \text{DAE}$ is approximately$15^{\circ}$ $20^{\circ}$$30^{\circ}$$25^{\circ}$
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113
If $a, b, c$ are the sides of a triangle, and $a^2 + b^2 + c^2 = bc + ca + ab$, then the triangle isequilateral isoscelesright angled obtuse angled
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114
If the equation $x^3 – ax^2 + bx – a = 0$ has three real roots, then it must be the case that$b=1$$b \neq 1$$a=1$$a \neq 1$
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115
The area bounded by the three curves $|x + y| = 1, |x| = 1$, and $|y| = 1$, is equal to$4$ $3$$2$$1$
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119
If $x^2 + y^2 = 0.1$ and $|x – y| = 0.2$, then $| x | + | y |$ is equal to$0.3$$0.4$$0.2$$0.6$
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120
Let $\text{N} = 55^3 + 17^3 – 72^3.\; \text{N}$ is divisible byboth $7$ and $13$both $3$ and $13$both $17$ and $7$both $3$ and $17$