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Recent questions tagged quantitative-aptitude

1 votes
1 answer
1161
CAT 2001 | Question: 23
Two sides of a plot measure $32$ metres and $24$ metres and the angle between them is a perfect right angle. The other two sides measure $25$ metres each and the other three are not right angles. What is the area of the plot? $768$ $534$ $696.5$ $684$
Two sides of a plot measure $32$ metres and $24$ metres and the angle between them is a perfect right angle. The other two sides measure $25$ metres each and the other th...
1 votes
1 answer
1165
CAT 2001 | Question: 19
In a number system the product of $44$ and $11$ is $1034.$ The number $3111$ of this system, when converted to the decimal number system, becomes $406$ $1086$ $213$ $691$
In a number system the product of $44$ and $11$ is $1034.$ The number $3111$ of this system, when converted to the decimal number system, becomes$406$$1086$$213$$691$
0 votes
0 answers
1166
CAT 2001 | Question: 18
If $09/12/2001$ happens to be Sunday, then $09/12/1971$ would have been a Wednesday Tuesday Saturday Thursday
If $09/12/2001$ happens to be Sunday, then $09/12/1971$ would have been aWednesday TuesdaySaturday Thursday
0 votes
1 answer
1169
CAT 2001 | Question: 15
$m$ is the smallest positive integer such that for any integer $n > m,$ the quantity $n^3 – 7n^2 + 11n – 5$ is positive. What is the value of $m?$ $4$ $5$ $8$ None of these
$m$ is the smallest positive integer such that for any integer $n m,$ the quantity $n^3 – 7n^2 + 11n – 5$ is positive. What is the value of $m?$$4$$5$$8$None of thes...
0 votes
0 answers
1170
CAT 2001 | Question: 14
$x$ and $y$ are real numbers satisfying the conditions $2 < x < 3$ and $–8 < y < –7.$ Which of the following expressions will have the least value? $x^2y$ $xy^2$ $5xy$ None of these
$x$ and $y$ are real numbers satisfying the conditions $2 < x < 3$ and $–8 < y < –7.$ Which of the following expressions will have the least value?$x^2y$$xy^2$$5xy$No...
0 votes
1 answer
1172
CAT 2001 | Question: 12
Anita had to do a multiplication. Instead of taking $35$ as one of the multipliers, she took $53.$ As a result, the product went up by $540.$ What is the new product? $1050$ $540$ $1440$ $1590$
Anita had to do a multiplication. Instead of taking $35$ as one of the multipliers, she took $53.$ As a result, the product went up by $540.$ What is the new product?$105...
0 votes
0 answers
1176
CAT 2001 | Question: 8
In the above diagram, $\text{ABCD}$ is a rectangle with $\text{AE = EF = FB}.$ What is the ratio of the area of the triangle $\text{CEF}$ and that of the rectangle? $\frac{1}{6}$ $\frac{1}{8}$ $\frac{1}{9}$ None of these
In the above diagram, $\text{ABCD}$ is a rectangle with $\text{AE = EF = FB}.$ What is the ratio of the area of the triangle $\text{CEF}$ and that of the rectangle?$\frac...
0 votes
2 answers
1178
CAT 2001 | Question: 6
Of $128$ boxes of oranges, each box contains at least $120$ and at most $144$ oranges. The number of boxes containing the same number of oranges is at least $5$ $103$ $6$ Cannot be determined
Of $128$ boxes of oranges, each box contains at least $120$ and at most $144$ oranges. The number of boxes containing the same number of oranges is at least$5$$103$$6$Can...
0 votes
1 answer
1179
CAT 2001 | Question: 5
A red light flashes $3$ times per minute and a green light flashes $5$ times in two minutes at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour? $30$ $24$ $20$ $60$
A red light flashes $3$ times per minute and a green light flashes $5$ times in two minutes at regular intervals. If both lights start flashing at the same time, how many...
0 votes
0 answers
1180
CAT 2001 | Question: 4
If $x > 5$ and $y < −1,$ then which of the following statements is true? $(x + 4y) > 1$ $x > − 4y$ $−4x < 5y$ None of these
If $x 5$ and $y < −1,$ then which of the following statements is true?$(x + 4y) 1$$x − 4y$$−4x < 5y$None of these
0 votes
1 answer
1181
CAT 2001 | Question: 3
Let $x, y$ and $z$ be distinct integers, $x$ and $y$ are odd and positive, and $z$ is even and positive. Which one of the following statements cannot be true? $(x − z)^2y$ is even $(x − z)^2y$ is odd $(x − y)y$ is odd $(x − y)^2z$ is even
Let $x, y$ and $z$ be distinct integers, $x$ and $y$ are odd and positive, and $z$ is even and positive. Which one of the following statements cannot be true?$(x − z)^2...
2 votes
1 answer
1182
CAT 2001 | Question: 2
A square, whose side is $2$ metres, has its corners cut away so as to form an octagon with all sides equal. Then the length of each side of the octagon, in metres is $\frac{\sqrt{2}}{\sqrt{2}+1}$ $\frac{2}{\sqrt{2}+1}$ $\frac{2}{\sqrt{2} - 1}$ $\frac{\sqrt{2}}{\sqrt{2}-1}$
A square, whose side is $2$ metres, has its corners cut away so as to form an octagon with all sides equal. Then the length of each side of the octagon, in metres is$\fra...
1 votes
4 answers
1186
CAT 2000 | Question: 108
Convert the number $1982$ from base $10$ to base $12.$ The result is $1182$ $1912$ $1192$ $1292$
Convert the number $1982$ from base $10$ to base $12.$ The result is$1182$$1912$$1192$$1292$
0 votes
0 answers
1187
CAT 2000 | Question: 107
For all non-negative integers $x$ and $y, f(x, y)$ is defined as below $f(0, y) = y + 1$ $f(x + 1, 0) = f(x, 1)$ $f(x + 1,y + 1) = f(x, f(x + 1, y))$ Then, what is the value of $f(1, 2)?$ Two Four Three Cannot be determined
For all non-negative integers $x$ and $y, f(x, y)$ is defined as below$f(0, y) = y + 1$$f(x + 1, 0) = f(x, 1)$$f(x + 1,y + 1) = f(x, f(x + 1, y))$Then, what is the value ...
0 votes
0 answers
1192
CAT 2000 | Question: 102
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}.$ Then $\measuredangle \text{DAE}$ is approximately $15^{\circ}$ $20^{\circ}$ $30^{\circ}$ $25^{\circ}$
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}.$ Then $\measuredangle \text{DAE}$ is approximately$15^{\circ}$ $20^{\circ}$$30^{\circ}$$25^{\circ}$
0 votes
0 answers
1193
CAT 2000 | Question: 101
If $a, b, c$ are the sides of a triangle, and $a^2 + b^2 + c^2 = bc + ca + ab$, then the triangle is equilateral isosceles right angled obtuse angled
If $a, b, c$ are the sides of a triangle, and $a^2 + b^2 + c^2 = bc + ca + ab$, then the triangle isequilateral isoscelesright angled obtuse angled
0 votes
0 answers
1194
CAT 2000 | Question: 100
If the equation $x^3 – ax^2 + bx – a = 0$ has three real roots, then it must be the case that $b=1$ $b \neq 1$ $a=1$ $a \neq 1$
If the equation $x^3 – ax^2 + bx – a = 0$ has three real roots, then it must be the case that$b=1$$b \neq 1$$a=1$$a \neq 1$
0 votes
2 answers
1195
CAT 2000 | Question: 99
The area bounded by the three curves $|x + y| = 1, |x| = 1$, and $|y| = 1$, is equal to $4$ $3$ $2$ $1$
The area bounded by the three curves $|x + y| = 1, |x| = 1$, and $|y| = 1$, is equal to$4$ $3$$2$$1$
0 votes
1 answer
1198
CAT 2000 | Question: 96
$\text{ABCD}$ is a rhombus with the diagonals $\text{AC}$ and $\text{BD}$ intersecting at the origin on the $x-y$ plane. The equation of the straight line $\text{AD}$ is $x + y = 1.$ What is the equation of $\text{BC}?$ $x + y = –1$ $x – y = –1$ $x + y = 1$ None of the above
$\text{ABCD}$ is a rhombus with the diagonals $\text{AC}$ and $\text{BD}$ intersecting at the origin on the $x-y$ plane. The equation of the straight line $\text{AD}$ is ...
0 votes
2 answers
1199
CAT 2000 | Question: 95
If $x^2 + y^2 = 0.1$ and $|x – y| = 0.2$, then $| x | + | y |$ is equal to $0.3$ $0.4$ $0.2$ $0.6$
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$
0 votes
1 answer
1200
CAT 2000 | Question: 94
Let $\text{N} = 55^3 + 17^3 – 72^3.\; \text{N}$ is divisible by both $7$ and $13$ both $3$ and $13$ both $17$ and $7$ both $3$ and $17$
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 $17$
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