Discussion
Home ‣ Aptitude ‣ Surds and Indices Comments
- Question
(256)0.16 x (256)0.09 =?
Options- A. 4
- B. 16
- C. 64
- D. 256.25
- 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
- 1.
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
- 2. If 5a = 3125, then the value of 5(a - 3) is:
Options- A. 25
- B. 125
- C. 625
- D. 1625 Discuss
- 3. The value of [(10)150 ÷ (10)146]
Options- A. 1000
- B. 10000
- C. 100000
- D. 106 Discuss
- 4.
1 + 1 =? 1 + a(n - m) 1 + a(m - n)
Options- A. 0
- B. 11⁄2
- C. 1
- D. am + n Discuss
- 5.
(243)n/5 x 32n + 1 =? 9n x 3n - 1
Options- A. 1
- B. 2
- C. 9
- D. 3n Discuss
- 6. (0.04)-1.5 =?
Options- A. 25
- B. 125
- C. 250
- D. 625 Discuss
- 7. (17)3.5 x (17)? = 178
Options- A. 2.29
- B. 2.75
- C. 4.25
- D. 4.5 Discuss
- 8.
If x = 3 + 2√2, then the value of ❨ √x - 1 ❩ is: √x
Options- A. 1
- B. 2
- C. 2√2
- D. 3√3 Discuss
- 9. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Options- A. 1
- B. 11⁄40
- C. 40
- D. 80 Discuss
- 10. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Options- A. 12
- B. 18
- C. 22
- D. 24
- E. None of these Discuss
Surds and Indices problems
Search Results
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: 25
Explanation:
5 a = 3125 ⟺ 5 a = 5 5
⟹ a = 5.
∴ 5(a - 3) = 5(5 - 3) = 52 = 25.
Correct Answer: 10000
Explanation:
| (10)150 ÷ (10)146 = | 10150 |
| 10146 |
= 10150 - 146
= 104
= 10000.
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: 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
Correct Answer: 2
Explanation:
| ❨ | √x | - | 1 | ❩ | 2 | = x + | 1 | - 2 |
| √x | x |
| = (3 + 2√2) + | 1 | - 2 |
| (3 + 2√2) |
| = (3 + 2√2) + | 1 | x | (3 - 2√2) | - 2 |
| (3 + 2√2) | (3 - 2√2) |
= (3 + 2√2) + (3 - 2√2) - 2
= 4.
| ∴ | ❨ | √x | - | 1 | ❩ | = 2. |
| √x |
Correct Answer: 40
Explanation:
Let the required number of days be x
Less cows, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)
| Cows | 1 | : | 40 | ] | :: 40 : x |
| Bags | 40 | : | 1 |
∴ 1 x 40 x x = 40 x 1 x 40
⟹ x = 40.
Correct Answer: 24
Explanation:
Let the required number of days be x
Less men, More days (Indirect Proportion)
∴ 27 : 36 :: 18 : x ⟺ 27 x x = 36 x 18
| ⟹ x = | 36 x 18 |
| 27 |
⟹ x = 24.
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