11.
If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
• A.
0
• C.
4
• B.
2
• D.
6
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Explanation :

3x - y = 27 = 33   x - y = 3 ...(i)

3x + y = 243 = 35   x + y = 5 ...(ii)

On solving (i) and (ii), we get x = 4.

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12.
The value of (8-25 - 8-26] is:
• A.
7 x 8-25
• C.
8 x 8-26
• B.
7 x 8-26
• D.
None of these
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Explanation :

8-25 - 8 -26 =
 1 825
-
 1 826
=
 (8 - 1) 826
= 7 x 8-26

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13.
If 3X + 3X-1 = 18, Then the value of xx is :
• A.
3
• C.
27
• B.
8
• D.
216
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Explanation :

3x - 3x - 1 = 18

3x - 1 (3 - 1) = 18

3x - 1 = 9 = 32

x - 1 = 2

x = 3

xx = 33 = 27

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14.
(17)3.5 x (17)? = 178
• A.
2.29
• C.
4.25
• B.
2.75
• D.
4.5
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Explanation :

Let (17)3.5 x (17)x x 178, Then, (17)3.5 + x = (17)8

3.5 + x = 8

x = (8 - 3.5)

x = 4.5

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15.
If 2n + 4 - 2n + 2 = 3, then n is equal to:
• A.
0
• C.
-1
• B.
2
• D.
-2
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Explanation :

2n + 4 - 2n + 2 = 3

2n + 2 (22 - 1) = 3

2n + 2 = 1 = 20

n + 2 = 0

n = -2

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