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1 votes
1 answer
122
CAT 1995 | Question: 64
Refer to the following data: le(x, y) = Least of(x, y) mo(x) = |x| me(x, y) = maximum of(x, y) Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at $a = -2$ and $b = - 3$. $1$ $0$ $5$ $3$
Refer to the following data:le(x, y) = Least of(x, y)mo(x) = |x| me(x, y) = maximum of(x, y)Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at $a = -2$ a...
1 votes
1 answer
123
CAT 1995 | Question: 63
For the product $n(n + 1)(2n + 1)$, $n \hat{I} N$, which one of the following is necessarily false? It is always even Divisible by $3$. Always divisible by the sum of the square of first n natural numbers Never divisible by $237$.
For the product $n(n + 1)(2n + 1)$, $n \hat{I} N$, which one of the following is necessarily false?It is always evenDivisible by $3$.Always divisible by the sum of the sq...
1 votes
1 answer
124
CAT 1995 | Question: 62
A, B, C and Dare four towns, any three of which are non-collinear. The number of ways to construct three roads each joining a pair of towns so that the roads do not form a triangle is: 7 8 9 more than 9
A, B, C and Dare four towns, any three of which are non-collinear. The number of ways to construct three roads each joining a pair of towns so that the roads do not form ...
1 votes
1 answer
125
CAT 1995 | Question: 61
Three bells chime at an interval of 18, 24 and 32 minutes respectively. At a certain time they begin to chime together. What length of time will elapse before they chime together again? 2 hours 24 minutes 4 hours 48 minutes 1 hour 36 minutes 5 hours
Three bells chime at an interval of 18, 24 and 32 minutes respectively. At a certain time they begin to chime together. What length of time will elapse before they chime ...
1 votes
1 answer
126
CAT 1995 | Question: 60
Which one of the following cannot be the ratio of angles in a right-angled triangle? $1:2:3$ $1:1:2$ $1 :3:6$ None of these
Which one of the following cannot be the ratio of angles in a right-angled triangle?$1:2:3$ $1:1:2$ $1 :3:6$ None of these
1 votes
1 answer
127
CAT 1995 | Question: 59
The sides of a triangle are $5, 12$ and $13$ units respectively. A rectangle is constructed which is equal in area to the triangle and has a width of 10 units. Then the perimeter of the rectangle is $30$ $26$ $13$ None of these
The sides of a triangle are $5, 12$ and $13$ units respectively. A rectangle is constructed which is equal in area to the triangle and has a width of 10 units. Then the p...
2 votes
1 answer
128
CAT 1995 | Question: 58
$5^{4}-1$ is divisible by $13$ $31$ $5$ none of these
$5^{4}-1$ is divisible by$13$ $31$ $5$ none of these
1 votes
1 answer
129
CAT 1995 | Question: 57
PQRS is a square. SR is a tangent (at point S) to the circle with centre 0 and TR = OS. The ratio of the area of the circle to the area of the square is: $\pi/3$ $11/7$ $3/\pi$ $7/11$
PQRS is a square. SR is a tangent (at point S) to the circle with centre 0 and TR = OS. The ratio of the area of the circle to the area of the square is:$\pi/3$$11/7$$3/\...
1 votes
1 answer
130
CAT 1995 | Question: 56
The value of $\frac{55^{3}+45^{3}}{55^{2}-55 \times 45+45^{2}}$ is: $100$ $105$ $125$ $75$
The value of $\frac{55^{3}+45^{3}}{55^{2}-55 \times 45+45^{2}}$ is:$100$ $105$ $125$ $75$
1 votes
1 answer
131
CAT 1995 | Question: 55
What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$? $m < 2$, or $m > 5$ $m > 2$ $2 < m < 5$ $m < 5$
What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$?$m < 2$, or $m 5$ $m 2$ $2 < m < 5$ $m < 5$
1 votes
1 answer
132
CAT 1995 | Question: 54
ABCD is a square of area 4, which is divided into four non-overlapping triangles as shown in the figure. The sum of the perimeters of the triangles is: $8(1+\sqrt{2})$ $8(2+\sqrt{2})$ $4(2+\sqrt{2})$ $4(1+\sqrt{2})$
ABCD is a square of area 4, which is divided into four non-overlapping triangles as shown in the figure. The sum of the perimeters of the triangles is:$8(1+\sqrt{2})$$8(2...
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