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Answers by Lakshman Bhaiya

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CAT 2010 | Question: 15
If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $\log\left ( a+c \right )+\log\left ( a-2b+c \right )$ ... $\log\:a+\log\:b+\log\:c$
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CAT 2010 | Question: 14
If $a=b^{2}=c^{3}=d^{4}$ then the value of $\log_{a}\;(abcd)$ would be$\log_{a}1+\log_{a}2+\log_{a}3+\log_{a}4$\log_{a}24$1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$1+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}$
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CAT 2010 | Question: 12
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive?$x^{2}-y^{2}=0$(x-k)^{2}+y^{2}=1$2$0$\sqrt{2}$\sqrt{-2}$
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CAT 2010 | Question: 4
Consider the following statements :When two straight lines intersect, then :adjacent angles are complementaryadjacent angles are supplementaryopposite angles are equalopposite angles are ... ) and (IV) are correct(II) and (IV) are correct
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CAT 2010 | Question: 10
Let $\text{S}$ denote the infinite sum $2+5x+9x^{2}+14x^{3}+20x^{4}+\ldots$where $\mid x \mid < 1$ and the coefficient of $x^{n-1}$ ... $\frac{2+x}{(1+x)^{3}}$
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CAT 2010 | Question: 9
If $a, b$ and $c$ are three real numbers, then which of the following is not true?$\mid a+b \mid\leq \mid a \mid+\mid b \mid$\mid a - b \mid \leq \mid a \mid + \mid ... a \mid -\mid b \mid$\mid a-c \mid \leq \mid a-b \mid+\mid b-c \mid$
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CAT 2010 | Question: 7
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius$4$2$3$None of these
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CAT 2010 | Question: 1
If $r, s$ and $t$ are consecutive odd integers with $r < s < t$, which of the following must be true?$rs = t$r + t = 2t – s$r + s = t – 2$r + t = 2s$
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CAT 2010 | Question: 3
$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value of $\text{R}$.$5$7$9$11$
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Perfect cube
Find the smallest number $y$ such that $y \times 162$ $(y$ multiplied by $162)$ is a perfect cube.$A)24$ $B)27$ $C)32$ $D)36$
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CAT 1996 | Question: 127
The points of intersection of three lines, $2X + 3Y - 5 = 0, 5X - 7Y + 2 = 0$, and $9X-5Y-4 =0$:form a triangle.are on lines perpendicular to each other.are on lines parallel to each other.are coincident.
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CAT 1995 | Question: 85
The largest value of $\min (2 + x^{2} , 6 - 3x)$ when $x > 0$ is$1$ $2$ $3$ $4$
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CAT 1994 | Question: 60
If a + b + c = 0, where $a \neq b \neq c$, then what is the value of:$\frac{a^{2}}{2a^{2}+bc}+\frac{b^2}{2b^{2}+ac}+\frac{c^{2}}{2c^{2}+ab}$zero1-1abc
925
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CAT 1994 | Question: 64
Given that a > b, then the relation ma[md(a), mn(a, b)] = mn[a, md(ma(a, b))] does not hold if:a < 0, b < 0 a > 0, b > 0a > 0, b < 0, |a| < |b|a > 0, b < 0, |a| > |b|
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CAT 1994 | Question: 63
If md(x) = |x|, mn(x, y) = minimum of x and y, andma(a, b, c,) = maximum of a, b, cThe value of ma[md(a), mn(md(b), a), mn(ab, md(ac))] where a = -2, b = -3, c = 4 is:268-2
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CAT 1994 | Question: 62
If one root of $x^{2} + px + 12 = 0$ is $4$, while the equation $x^{2} + px + q = 0$ has equal roots, then the value of $q$ is:$49/4$4/49$4$\frac{1}{4}$
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