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Addition of Integers

For an intege...

Question

For an integer a, what is (-1) x (-1) x (-1) x (a) equal to?

A

-1

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B

a

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C

1

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D

-a

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Solution

The correct option is D -a
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Similar questions

S1 : Logarithm of a number x is defined for all negative values of x.
S2 : Logarithm of 1 to the base x (where x>1) = 0

Q. Every element of S1 is made greater than or equal to every element of S2 by adding to each element of S1 an integer x. Then, x cannot be less than: (CAT 1999)

Q. There are 50 integers a1, a2,........, a50, not all of them necessarily different. Let the greatest integer of these 50 integers be referred to as G, and the smallest integer is referred to as L. The integers a1 through a24 form sequence S1, and the rest form sequence S2. Each member of S1 is less than or equal to each member of S2.
Every element of S1 is made greater than or equal to every element of S2 by adding to each element of S1 an integer x. Then, x cannot be less than:

Q. An implementation of queue Q, using two stacks S1 and S2, is given below:

void insert(Q, x)
{
push(S1, x);
}
void delete (Q, x)
{
if (stack -empty (S2)) then
if ( stack - empty(S1)) then
{
print ("Q is empty");
return;
}
else while (! stack - empty(S1))
{
x = pop (S1);
push(S2, x);
}
x = pop(S2);
}

Let n insert and

(m \leq n)

delete operations be performed in an arbitary order on an empty queue Q. Let x and y be the number of push and pop operations performed respectively in the processes. Which one of the following is true for all m and n?

S_{1} : [X + \frac{1}{2}] = [X]

X < \frac{1}{2}

S_{2} : [n x] = n [x]

x < \frac{1}{n}

where [ ], { } stands for greatest integer and fraction part functions respectively and n is a natural number

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