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All questions of Exponents and Radicals for Class 10 Exam
is
If 3(x+y) = 81 and 81(x−y) = 3, then the value of x is- a)1/8
- b)15/8
- c)17/8
- d)42
Correct answer is option 'C'. Can you explain this answer?
If 3(x+y) = 81 and 81(x−y) = 3, then the value of x is
a)
1/8
b)
15/8
c)
17/8
d)
42
 | Quantronics answered |
3x+y = 81
3x+y = 34
x + 4 = 4....(1)
81x-y = 3
(34)x-y = 3
4(x - y) = 3
34(x-y) = 1
x - y = 1/4....(2)
(1) + (2)
2x = 17/4
x = 17/8
3x+y = 34
x + 4 = 4....(1)
81x-y = 3
(34)x-y = 3
4(x - y) = 3
34(x-y) = 1
x - y = 1/4....(2)
(1) + (2)
2x = 17/4
x = 17/8
If 2x = ∛32, then x=- a)5/3
- b)3/5
- c)5
- d)3
Correct answer is option 'A'. Can you explain this answer?
If 2x = ∛32, then x=
a)
5/3
b)
3/5
c)
5
d)
3
 | Rajeev Kumar answered |
2x = ∛32
2x = (2)5/3
x = 5/3
2x = (2)5/3
x = 5/3
If 310 × 272 = 92 × 3n then the value of n is- a)10
- b)15
- c)12
- d)30
Correct answer is option 'C'. Can you explain this answer?
If 310 × 272 = 92 × 3n then the value of n is
a)
10
b)
15
c)
12
d)
30
| | Quantronics answered |
310 × 272 = 92 × 3n
⇒ 10 + 6 = 4 + n
⇒ n = 12
⇒ 10 + 6 = 4 + n
⇒ n = 12
lies between
The value of 51/4 × (125)0.25 is- a)5
- b)5√5
- c)√5
- d)25
Correct answer is option 'A'. Can you explain this answer?
The value of 51/4 × (125)0.25 is
a)
5
b)
5√5
c)
√5
d)
25
| | Quantronics answered |
51/4 × (125)0.25
= 5
= 5
If (a/b)x - 1 = (b/a)x - 3, then the value of x is- a)1/2
- b)2
- c)7/2
- d)1
Correct answer is option 'B'. Can you explain this answer?
If (a/b)x - 1 = (b/a)x - 3, then the value of x is
a)
1/2
b)
2
c)
7/2
d)
1
| | Rajeev Kumar answered |
∴ x - 1 = 3 - x
2x = 4
x = 2
The value of (256)5/4 is- a)64
- b)512
- c)2048
- d)1024
Correct answer is option 'D'. Can you explain this answer?
The value of (256)5/4 is
a)
64
b)
512
c)
2048
d)
1024
| | Rajeev Kumar answered |
= (256)5/4
= (45)5/4
= 45
= 1024
= (45)5/4
= 45
= 1024
If 10x = 1/2 then 10−8x =- a)1/256
- b)256
- c)64
- d)1/64
Correct answer is option 'B'. Can you explain this answer?
If 10x = 1/2 then 10−8x =
a)
1/256
b)
256
c)
64
d)
1/64
| | Rajeev Kumar answered |
10x = 1/2
10-8x = (10x)−8
= (1/2)−8
= 28
= 256
10-8x = (10x)−8
= (1/2)−8
= 28
= 256
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