Recent questions tagged cat1995

Let$le(x, y) =$ least of x and y (i.e., $\min(x, y))$$me(x, y) =$ maximum of x and y (i.e., $\max(x, y))$$mo(x) = |x|$ (absolute value)For real numbers $a, b,$ which of t...

Let$le(x, y) =$ least of x and y (i.e., $\min(x, y))$$me(x, y) =$ maximum of x and y (i.e., $\max(x, y))$$mo(x) = |x|$ (absolute value)Find the value of $me(a + mo(le(a, ...

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...

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 ...

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...

$5^{4}-1$ is divisible by$13$ $31$ $5$ none of these

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/\...

The value of $\frac{55^{3}+45^{3}}{55^{2}-55 \times 45+45^{2}}$ is:$100$ $105$ $125$ $75$

What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$?$m < 2$, or $m 5$ $m 2$ $2 < m < 5$ $m < 5$

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...

Two-fifths of the voters promise to vote for P and the rest promise to vote for Q. Of these, on the last day, $15$% of the voters went back on their promise to vote for P...

A person who has a certain amount with him goes to the market. He can buy $50$ oranges or $40$ mangoes. He retains 10% of the amount for taxi fare and buys $20$ mangoes, ...

The questions are based on a short statement preceding them.But because the idea of private property has been permitted to override with its selfishness the common good o...

Arrange sentences A B, C, and D between sentences 1 and 6, so as to form a logical sequence of six sentences.1. Managers must lead by example; they should not be averse t...