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Number System: Exponent Test-3

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Question 1
Which of the following expressions is equal to 218 ?
A
(23)6
B
29+2
C
2326
D
9x26
Question 1 Explanation: 
The correct expression in this case is option A.
xmn equals to (xm)n
Question 2
What will be the value of P= 4a+4a+4a+4a
A
16a
B
44a
C
4a+1
D
None
Question 2 Explanation: 
= 4a+4a+4a+4a
= 4a(1+1+1+1)
= 4a x ( 4)
= 4a+1
Question 3
If q = {y(y2)4} / y5 when y is greater than 0 then what would be the exponent of y.
A
2
B
3
C
4
D
5
Question 3 Explanation: 
Since the question is to find the exponents of y in {y(y2)4} / y5
Therefore ={y(y2)4} / y5 ={y x y8} / y5
={y x y8} / y5 = { y9} / y5 = y4
So the exponent of y is 4
Question 4
If a and b are not equal to 0, then a18b9 must be
A
Positive
B
Negative
C
An integer
D
both A or B
Question 4 Explanation: 
If a is negative and b is positive then the result will be positive
If b is negative and a is positive then the result will be negative
So we will consider both the cases and therefore the number can be positive of negative
So the right answer is D
Question 5
If a and b are positive integers and a4 +b5 = 259, then value of a + b =?
A
7
B
9
C
6
D
5
Question 5 Explanation: 
We have a4 +b5 = 259
So from option A = 7 so the value of A and B(1,6)(2,5)(3,4) and vice-versa
but no one option satisfy the condition so option a is rejected
For option B i.e.9 the pairs are (1,8), (2,6), (3,5), (4,4) and vice versa
For option C i.e. for 6 the pairs are (1,5), (2,4), (3,3) and vice versa
For option D i.e. for 5 the pairs are (1,4), (2,3),  and vice versa
See 24 +35 = 259
So the right answer is 5 option D
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