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Home ‣ Aptitude ‣ Square Root and Cube Root Comments
- Question
❨ √625 x 14 x 11 ❩ is equal to: 11 √25 √196
Options- A. 5
- B. 6
- C. 8
- D. 11
- Correct Answer
- 5
ExplanationGiven Expression = 25 x 14 x 11 = 5. 11 5 14 - 1.
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
- 2. 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 Discuss
- 3.
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
- 4. 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
- 5. The cube root of .000216 is:
Options- A. .6
- B. .06
- C. 77
- D. 87 Discuss
- 6. √0.0169 x? = 1.3
Options- A. 10
- B. 100
- C. 1000
- D. None of these Discuss
- 7. The square root of 64009 is:
Options- A. 253
- B. 347
- C. 363
- D. 803 Discuss
- 8. The square root of (7 + 3√5) (7 - 3√5) is
Options- A. √5
- B. 2
- C. 4
- D. 3√5 Discuss
- 9.
❨ √3 - 1 ❩ 2 simplifies to: √3
Options- A.
3 4 - B.
4 √3 - C.
4 3 - D. None of these Discuss
- 10. The least perfect square, which is divisible by each of 21, 36 and 66 is:
Options- A. 213444
- B. 214344
- C. 214434
- D. 231444 Discuss
Square Root and Cube Root problems
Search Results
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: None of these
Explanation:
A number ending in 8 can never be a perfect square.
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: 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. |
Correct Answer:
| 4 |
| 3 |
Explanation:
| ❨ | √3 - | 1 | ❩ | 2 | = (√3)2 + | ❨ | 1 | ❩ | 2 | - 2 x √3 x | 1 |
| √3 | √3 | √3 |
| = 3 + | 1 | - 2 |
| 3 |
| = 1 + | 1 |
| 3 |
| = | 4 |
| 3 |
Correct Answer: 213444
Explanation:
L.C.M. of 21, 36, 66 = 2772.
Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 22 x 32 x 72 x 112 = 213444
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