Discussion
Home ‣ Aptitude ‣ Surds and Indices Comments
- Question
The value of [(10)150 ÷ (10)146]
Options- A. 1000
- B. 10000
- C. 100000
- D. 106
- Correct Answer
- 10000
Explanation(10)150 ÷ (10)146 = 10150 10146 = 10150 - 146
= 104
= 10000.
- 1.
1 + 1 =? 1 + a(n - m) 1 + a(m - n)
Options- A. 0
- B. 11⁄2
- C. 1
- D. am + n Discuss
- 2.
(243)n/5 x 32n + 1 =? 9n x 3n - 1
Options- A. 1
- B. 2
- C. 9
- D. 3n Discuss
- 3.
If ❨ a ❩ x - 1 = ❨ b ❩ x - 3 , then the value of x is: b a
Options- A. 1⁄2
- B. 1
- C. 2
- D. 7⁄2 Discuss
- 4. Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
Options- A. 1.45
- B. 1.88
- C. 2.9
- D. 3.7 Discuss
- 5. If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:
Options- A. 1
- B. 10
- C. 121
- D. 1000 Discuss
- 6. If 5a = 3125, then the value of 5(a - 3) is:
Options- A. 25
- B. 125
- C. 625
- D. 1625 Discuss
- 7.
1 + 1 + 1 =? 1 + x(b - a) + x(c - a) 1 + x(a - b) + x(c - b) 1 + x(b - c) + x(a - c)
Options- A. 0
- B. 1
- C. xa - b - c
- D. None of these Discuss
- 8. (256)0.16 x (256)0.09 =?
Options- A. 4
- B. 16
- C. 64
- D. 256.25 Discuss
- 9. (0.04)-1.5 =?
Options- A. 25
- B. 125
- C. 250
- D. 625 Discuss
- 10. (17)3.5 x (17)? = 178
Options- A. 2.29
- B. 2.75
- C. 4.25
- D. 4.5 Discuss
Surds and Indices problems
Search Results
Correct Answer: 1
Explanation:
| 1 | + | 1 | = |
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| 1 + a(n - m) | 1 + a(m - n) |
| = | am | + | an |
| (am + an) | (am + an) |
| = | (am + an) |
| (am + an) |
= 1.
Correct Answer: 9
Explanation:
| Given Expression |
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Correct Answer: 2
Explanation:
| Given ❨ | a | ❩ | x - 1 | = | ❨ | b | ❩ | x - 3 |
| b | a |
| ⟹ | ❨ | a | ❩ | x - 1 | = | ❨ | a | ❩ | -(x - 3) | = | ❨ | a | ❩ | (3 - x) |
| b | b | b |
⟹ x - 1 = 3 - x
⟹ 2x = 4
⟹ x = 2.
Correct Answer: 2.9
Explanation:
x z = y 2 ⟺ 10 (0.48z) = 10 (2 x 0.70) = 10 1.40
⟹ 0.48z = 1.40
| ⟹ z = | 140 | = | 35 | = 2.9 (approx.) |
| 48 | 12 |
Correct Answer: 1000
Explanation:
We know that 11 2 = 121.
Putting m = 11 and n = 2, we get:
(m - 1)n + 1 = (11 - 1)(2 + 1) = 103 = 1000.
Correct Answer: 25
Explanation:
5 a = 3125 ⟺ 5 a = 5 5
⟹ a = 5.
∴ 5(a - 3) = 5(5 - 3) = 52 = 25.
Correct Answer: 1
Explanation:
| Given Exp. = |
|
| = | xa | + | xb | + | xc |
| (xa + xb + xc) | (xa + xb + xc) | (xa + xb + xc) |
| = | (xa + xb + xc) |
| (xa + xb + xc) |
= 1.
Correct Answer: 4
Explanation:
(256) 0.16 x (256) 0.09 = (256) (0.16 + 0.09)
= (256)0.25
= (256)(25/100)
= (256)(1/4)
= (44)(1/4)
= 44(1/4)
= 41
= 4
Correct Answer: 125
Explanation:
| (0.04)-1.5 = | ❨ | 4 | ❩ | -1.5 |
| 100 |
| = | ❨ | 1 | ❩ | -(3/2) |
| 25 |
= (25)(3/2)
= (52)(3/2)
= (5)2 x (3/2)
= 53
= 125.
Correct Answer: 4.5
Explanation:
Let (17) 3.5 x (17) x = 17 8
Then, (17)3.5 + x = 178.
∴ 3.5 + x = 8
⟹ x = (8 - 3.5)
⟹ x = 4.5
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