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Recent questions tagged quantitative-aptitude

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921
CAT 1997 | Question: 125
A man earns $x$% on the first $2000$ rupees and $y$% on the rest of his income. If he earns Rs $700$ from Rs $4000$ and Rs $900$ from Rs $5000$ of income, find $x$. $20$ $15$ $35$ None of these
A man earns $x$% on the first $2000$ rupees and $y$% on the rest of his income. If he earns Rs $700$ from Rs $4000$ and Rs $900$ from Rs $5000$ of income, find $x$.$20$$1...
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925
CAT 1997 | Question: 121
Which of the following is true? $_{7}^{3^{2}} = (7^{3})^{2}$ $_{7}^{3^{2}} > (7^{3})^{2}$ $_{7}^{3^{2}} < (7^{3})^{2}$ None of these
Which of the following is true?$_{7}^{3^{2}} = (7^{3})^{2}$$_{7}^{3^{2}} (7^{3})^{2}$$_{7}^{3^{2}} < (7^{3})^{2}$None of these
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1 answer
926
CAT 1997 | Question: 120
If $m$ and $n$ are integers divisible by $5$, which of the following is not necessarily true? $m–n$ is divisible $5$. $m^{2}-n^{2}$ is divisible by $25$. $m+n$ is divisible by $10$ None of the above.
If $m$ and $n$ are integers divisible by $5$, which of the following is not necessarily true?$m–n$ is divisible $5$.$m^{2}-n^{2}$ is divisible by $25$.$m+n$ is divisibl...
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927
CAT 1997 | Question: 119
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius. $4$ $2$ $3$ None of these
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius.$...
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928
CAT 1997 | Question: 118
If the roots, $x_{1}$ and $x_{2}$ of the quadratic equation $x^{2}-2x+c=0$ also satisfy the equation $7x_{2}-4x_{1}=47$, then which of the following is true? $c=-15$ $x_{1}=-5, x_{2}=3$ $x_{1}=4.5, x_{2}=-2.5$ None of these
If the roots, $x_{1}$ and $x_{2}$ of the quadratic equation $x^{2}-2x+c=0$ also satisfy the equation $7x_{2}-4x_{1}=47$, then which of the following is true? $c=-15$$x_{1...
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1 answer
929
CAT 1997 | Question: 117
The average marks of a student in ten papers are $80$. If the highest and the lowest scores are not considered, the average is $81$. If his highest score is $92$, find the lowest. $55$ $60$ $62$ Cannot be determined
The average marks of a student in ten papers are $80$. If the highest and the lowest scores are not considered, the average is $81$. If his highest score is $92$, find th...
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2 answers
930
CAT 1997 | Question: 116
$P$ and $Q$ are two integers such that $P \times Q = 64$. Which of the following cannot be the value of $P+Q$? $20$ $65$ $16$ $35$
$P$ and $Q$ are two integers such that $P \times Q = 64$. Which of the following cannot be the value of $P+Q$?$20$$65$$16$$35$
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1 answer
931
CAT 1997 | Question: 115
A candidate was asked to find $7/8$th of a positive number; he found $7/18$th of the same by mistake. If his answer was $770$ less than the correct one, then the original given number was $1260$ $6160$ $1584$ None of these
A candidate was asked to find $7/8$th of a positive number; he found $7/18$th of the same by mistake. If his answer was $770$ less than the correct one, then the original...
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933
CAT 1997 | Question: 113
Fresh grapes contain $90$% water by weight while dried grapes contain $20$% water by weight. The weight of dry grapes available from $20$ kg of fresh grapes will be. $2$ kg $2.4$ kg $2.5$ kg None of these
Fresh grapes contain $90$% water by weight while dried grapes contain $20$% water by weight. The weight of dry grapes available from $20$ kg of fresh grapes will be.$2$ k...
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1 answer
935
CAT 1997 | Question: 111
How many values of the natural number $n$ are possible so that the expression $(16n^{2}+7n+6)/n$ is also a natural number? Infinitely many $3$ $4$ None of these d & c
How many values of the natural number $n$ are possible so that the expression $(16n^{2}+7n+6)/n$ is also a natural number?Infinitely many$3$$4$None of thesed & c
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936
CAT 1997 | Question: 110
After a discount of $11.11$%, a trader still makes a gain of $14.28$%. At how many percent above the cost price does he mark his goods? $28.56$% $35$% $22.22$% None of these
After a discount of $11.11$%, a trader still makes a gain of $14.28$%. At how many percent above the cost price does he mark his goods?$28.56$% $35$%$22.22$%None of these...
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1 answer
937
CAT 1997 | Question: 109
If $\log_{2}[ \log_{7} (x^{2}-x+37)]=1$ then what could be the value of $x$? $3$ $5$ $4$ None of these $c$
If $\log_{2}[ \log_{7} (x^{2}-x+37)]=1$ then what could be the value of $x$?$3$$5$$4$None of these$c$
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938
CAT 1997 | Question: 108
In how many ways can the eight directors, the Vice chairman and the Chairman of a firm be seated at around- table, if the Chairman has to sit between the Vice- chairman and a director? $9! \times 2$ $2 \times 8!$ $2 \times 7!$ None of these
In how many ways can the eight directors, the Vice chairman and the Chairman of a firm be seated at around- table, if the Chairman has to sit between the Vice- chairman a...
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1 answer
939
CAT 1997 | Question: 107
A student gets an aggregate of 60% marks in five subjects in the ratio $10:9:8:7:6$. If the passing marks are $50$% of the maximum marks and each subjects has the same maximum marks, in how many subjects did he pass the exam? $2$ $3$ $4$ $5$
A student gets an aggregate of 60% marks in five subjects in the ratio $10:9:8:7:6$. If the passing marks are $50$% of the maximum marks and each subjects has the same ma...
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1 answer
946
x, y and z are the positive integers such that x > y > z. Which of the following is closest to the product xyz?
x, y and z are the positive integers such that x y z. Which of the following is closest to the product xyz?xy(z-1)(x-1)yz(x-y)xyx(y+1)zPlease describe the solution in d...
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