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Recent questions tagged quantitative-aptitude

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611
CAT 2013 | Question: 16
In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R} = 120^{\circ}$. Find the length of $\text{QR}$ $\dfrac{15}{\sqrt2}$ cm $3\sqrt13$ cm $5\sqrt5$ cm $5\sqrt17$ cm
In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R} = 120^{\circ}$. Find the length of $\text{QR}$$\dfrac{15}{\sqrt2}$ cm$...
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616
CAT 2013 | Question: 26
Given that $-3<x \leq – \dfrac{1}{2}$ and $\dfrac{1}{2} < y \leq 7$, which of the following statements is true? $\max (x+y)(x-y)] – \min[(x+y)(x-y)]=57 \dfrac{1}{2}$ $\max[(x+y)^2]=169/4$ $\min[(x-y)^2]=1$ All of the above
Given that $-3<x \leq – \dfrac{1}{2}$ and $\dfrac{1}{2} < y \leq 7$, which of the following statements is true? $\max (x+y)(x-y)] – \min[(x+y)(x-y)]=57 \dfrac{1}{2}$$...
1 votes
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618
CAT 2013 | Question: 23
If $g(x)=p\mid x \mid-qx^2$, where $p$ and $q$ are constants, then at $x=0, g(x)$ will be maximum when $p>0,q>0$ minimum when $p<0,q<0$ minimum when $p>0,q<0$ maximum when $p>0,q<0$
If $g(x)=p\mid x \mid-qx^2$, where $p$ and $q$ are constants, then at $x=0, g(x)$ will bemaximum when $p>0,q>0$minimum when $p<0,q<0$minimum when $p>0,q<0$maximum when $p...
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622
CAT 2013 | Question: 28
The density of a liquid is defined as the weight per unit volume of the liquid. The densities of two liquids A and B are in the ratio $2:1$. The liquid B evaporates at a rate (in kg/hr) which is twice as fast compared to that of liquid A, which ... $2.5$ $3$ $3.5$ $4$
The density of a liquid is defined as the weight per unit volume of the liquid. The densities of two liquids A and B are in the ratio $2:1$. The liquid B evaporates at a ...
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624
CAT 2012 | Question: 29
A student is asked to form numbers between $3000$ and $9000$ with digits $2,3,5,7$ and $9$. If no digit is to be repeated, in how many ways can the student do so? $24$ $120$ $60$ $72$
A student is asked to form numbers between $3000$ and $9000$ with digits $2,3,5,7$ and $9$. If no digit is to be repeated, in how many ways can the student do so?$24$$12...
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627
CAT 2012 | Question: 23
If $ax^{2}+bx+c= 0$ and $2a,b$ and $2c$ are in arithmetic progression, which of the following are the roots of the equation? $a,c \\$ $-a,-c \\$ $-\dfrac{a}{2},-\dfrac{c}{2} \\$ $-\dfrac{c}{a},-1$
If $ax^{2}+bx+c= 0$ and $2a,b$ and $2c$ are in arithmetic progression, which of the following are the roots of the equation?$a,c \\$$-a,-c \\$$-\dfrac{a}{2},-\dfrac{c}{2}...
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630
CAT 2012 | Question: 25
If $\log _{x}(a-b)-\log _{x}(a+b)=\log _{x}\left(\dfrac{b}{a}\right)$, find $\dfrac{a^{2}}{b^{2}}+\dfrac{b^{2}}{a^{2}}$. $4$ $2$ $3$ $6$
If $\log _{x}(a-b)-\log _{x}(a+b)=\log _{x}\left(\dfrac{b}{a}\right)$, find $\dfrac{a^{2}}{b^{2}}+\dfrac{b^{2}}{a^{2}}$.$4$$2$$3$$6$
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631
CAT 2012 | Question: 22
Find the complete set of values that satisfy the relations $\mid \mid x\mid-3\mid< 2$ and $\mid \mid x\mid-2\mid< 3$. $(-5,5)$ $(-5,-1)\cup(1,5)$ $(1,5)$ $(-1,1)$
Find the complete set of values that satisfy the relations $\mid \mid x\mid-3\mid< 2$ and $\mid \mid x\mid-2\mid< 3$.$(-5,5)$$(-5,-1)\cup(1,5)$$(1,5)$$(-1,1)$
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632
CAT 2012 | Question: 21
In the figure given, $\text{OABC}$ is a parallelogram. The area of the parallelogram is $21$ sq units and the point $\text{C}$ lies on the line $x= 3$. Find the coordinates of $\text{B}$. $(3,10)$ $(10,3)$ $(10,10)$ $(8,3)$
In the figure given, $\text{OABC}$ is a parallelogram. The area of the parallelogram is $21$ sq units and the point $\text{C}$ lies on the line $x= 3$. Find the coordinat...
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638
CAT 2012 | Question: 12
If $x$ is a real number, $[x]$ is greatest integer less than or equal to $x$, then $3[x]+2-[x]= 0$. Will the above equation have any real root? Yes No Will have real roots for $x< 0$ Will have real roots for $x> 0$
If $x$ is a real number, $[x]$ is greatest integer less than or equal to $x$, then $3[x]+2-[x]= 0$. Will the above equation have any real root?YesNoWill have real roots f...
3 votes
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640
CAT 2012 | Question: 10
A certain number written in a certain base is $144$. Which of the following is always true? Square root of the number written in the same base is $12$. If base is increased by $2$, the number becomes $100$. Only I Only II Neither I nor II Both I and II
A certain number written in a certain base is $144$. Which of the following is always true?Square root of the number written in the same base is $12$.If base is increased...
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