Recent questions tagged cat2003-2

1 votes
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48
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59
What is the sum of all two-digit numbers that give a remainder of $3$ when they are divided by $7?$$666$$676$$683$$777$
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60
If $\log_{10} x - \log_{10} \sqrt{x} = 2 \log_x 10$ then a possible value of $x$ is given by$10$$\frac{1}{100}$$\frac{1}{1000}$None of these
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64
If three positive real numbers $x, y, z$ satisfy $y – x = z – y$ and $x y z = 4,$ then what is the minimum possible value of $y?$$2^{\frac{1}{3}}$$2^{\frac{2}{3}}$$2^...
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65
If both $a$ and $b$ belong to the set $\{1, 2, 3, 4\}$, then the number of equations of the form $ax^2 + bx + 1 = 0$ having real roots is$10$$7$$6$$12$
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66
In the figure (not drawn to scale) given below, if $\text{AD = CD = BC},$ and $\measuredangle \text{BCE} = 96^{\circ}$, how much is $\measuredangle \text{DBC}?$$32^{\cir...
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75
If $x$ and $y$ are integers then the equation $5x + 19y = 64$ hasno solution for $x < 300$ and $y < 0$no solution for $x 250$ and $y – 100$a solution for $250 < x < 3...
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76
What is the remainder when $4^{96}$ is divided by $6?$ $0$$2$$3$$4$
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77
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78
Using only $2, 5, 10, 25$ and $50$ paise coins, what will be the minimum number of coins required to pay exactly $78$ paise, $69$ paise and Rs $1.01$ to three different ...
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79
If $\frac{1}{3} \log_3 \text{M} + 3 \log_3 \text{N} =1 + \log_{0.008} 5$, then$\text{M}^9 = \frac{9}{\text{N}}$$\text{N}^9 = \frac{9}{\text{M}}$$\text{M}^3 = \frac{3}{\te...
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80
A real number $x$ satisfying $1- \frac{1}{n} < x \leq 3 + \frac{1}{n}$ for every positive integer $n,$ is best described by$1 < x < 4$$0 < x \leq 4$$0 < x \geq 4$$1 \leq ...