## Number Solved Questions For IBPS, SBI and Other Bank Exams - Page 12

**Question 1**

If P is a positive prime number, then which of the following is the greatest?

a) -P b) 0 c) -(P^{2}) d) (-3)(-P)^{2}

**Answer :** b) 0

Solution :

If P is a positive number, then P > 0 => -P < 0.

(P^{2}) > 0 and -(P^{2}) < 0

(-P)^{2} = (P)^{2} > 0

3(P)^{2} > 0 => -3(-P)^{2} < 0.

Therefore, -P, -(P^{2}), (-3)(-P)^{2} < 0

So the greatest of them is 0.

**Question 2**

If -5 < = p < = 6 and 5 < = q < = 8, then which of the following is the least value of 5q-8p?

a) 65 b) -23 c)-8 d) 12.

**Answer : **b) -23.

Solution :

Given that, 5 < = q < = 8.

i.e., q > = 5 then 5q > = 25.

Now, -5 < = p < = 6

We have to find least value of -8p. (in negative term).

So, we take p < = 6 => -8p > = -48.

i.e., least value of -8p is -48.

Required least value = 5q-8p = 25-48 = -23.

**Question 3**

If 0 < p < 800 and -500 < q < -5, then which of the following is the greatest value of p+q?

a) 795 b) 793 c) -499 d) -500

**Answer : **b) 793

Solution :

Given that, 0 < p < 800.

The possible values of p are { 1, 2, 3,...,799}

And, the greatest value of p = 799

Now, -500 < q < -5

The possible values of q are {-499, -498, -497,....,-8, -7, -6}

And, the greatest value of p = -6.

Hence, the required value = p+q = 799-6 = 793.