Discussion
Home ‣ Aptitude ‣ Square Root and Cube Root Comments
- Question
How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8?
Options- A. 1
- B. 2
- C. 3
- D. None of these
- Correct Answer
- None of these
ExplanationA number ending in 8 can never be a perfect square. - 1.
If x = √3 + 1 and y = √3 - 1 , then the value of (x2 + y2) is: √3 - 1 √3 + 1
Options- A. 10
- B. 13
- C. 14
- D. 15 Discuss
- 2. A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:
Options- A. 57
- B. 67
- C. 77
- D. 87 Discuss
- 3. The cube root of .000216 is:
Options- A. .6
- B. .06
- C. 77
- D. 87 Discuss
- 4.
The fraction 101 27 in decimal for is: 100000
Options- A. .01027
- B. .10127
- C. 101.00027
- D. 101.000027 Discuss
- 5.
The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02 is: 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04
Options- A. 0.0125
- B. 0.125
- C. 0.25
- D. 0.5 Discuss
- 6.
If √5 = 2.236, then the value of √5 - 10 + √125 is equal to: 2 √5
Options- A. 5.59
- B. 7.826
- C. 8.944
- D. 10.062 Discuss
- 7.
❨ √625 x 14 x 11 ❩ is equal to: 11 √25 √196
Options- A. 5
- B. 6
- C. 8
- D. 11 Discuss
- 8. √0.0169 x? = 1.3
Options- A. 10
- B. 100
- C. 1000
- D. None of these Discuss
- 9. The square root of 64009 is:
Options- A. 253
- B. 347
- C. 363
- D. 803 Discuss
- 10. The square root of (7 + 3√5) (7 - 3√5) is
Options- A. √5
- B. 2
- C. 4
- D. 3√5 Discuss
Square Root and Cube Root problems
Search Results
Correct Answer: 14
Explanation:
| x = | (√3 + 1) | x | (√3 + 1) | = | (√3 + 1)2 | = | 3 + 1 + 2√3 | = 2 + √3. |
| (√3 - 1) | (√3 + 1) | (3 - 1) | 2 |
| y = | (√3 - 1) | x | (√3 - 1) | = | (√3 - 1)2 | = | 3 + 1 - 2√3 | = 2 - √3. |
| (√3 + 1) | (√3 - 1) | (3 - 1) | 2 |
∴ x2 + y2 = (2 + √3)2 + (2 - √3)2
= 2(4 + 3)
= 14
Correct Answer: 77
Explanation:
Money collected = (59.29 x 100) paise = 5929 paise.
∴ Number of members = √5929 = 77.
Correct Answer: .06
Explanation:
| (.000216)1/3 | = | ❨ | 216 | ❩ | 1/3 |
| 106 |
| = | ❨ | 6 x 6 x 6 | ❩ | 1/3 |
| 102 x 102 x 102 |
| = | 6 |
| 102 |
| = | 6 |
| 100 |
= 0.06
Correct Answer: 101.00027
Explanation:
| 101 | 27 | = 101 + | 27 | = 101 + .00027 = 101.00027 |
| 100000 | 100000 |
Correct Answer: 0.125
Explanation:
| Given expression = | (0.1)3 + (0.02)3 | = | 1 | = 0.125 |
| 23 [(0.1)3 + (0.02)3] | 8 |
Correct Answer: 7.826
Explanation:
| √5 | - | 10 | + √125 | = | (√5)2 - 20 + 2√5 x 5√5 |
| 2 | √5 | 2√5 |
| = | 5 - 20 + 50 |
| 2√5 |
| = | 35 | x | √5 |
| 2√5 | √5 |
| = | 35√5 |
| 10 |
| = | 7 x 2.236 |
| 2 |
| = 7 x 1.118 |
| = 7.826 |
Correct Answer: 5
Explanation:
| Given Expression = | 25 | x | 14 | x | 11 | = 5. |
| 11 | 5 | 14 |
Correct Answer: 100
Explanation:
Let √0.0169 x x = 1.3.
Then, 0.0169x = (1.3)2 = 1.69
| ⟹ x = | 1.69 | = 100 |
| 0.0169 |
Correct Answer: 253
Explanation:
2|64009( 253
|4
|----------
45|240
|225
|----------
503| 1509
| 1509
|----------
| X
|----------
∴ √64009 = 253.
Correct Answer: 2
Explanation:
| (7 + 3√5)(7 - 3√5) | = | (7)2 - (3√5)2 | = √49 - 45 = √4 = 2. |
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