Discussion
Home ‣ Aptitude ‣ Square Root and Cube Root Comments
- Question
- The least perfect square number divisible by 3, 4, 5, 6, 8 is?
Options- A. 900
- B. 1200
- C. 2500
- D. 3600
- Correct Answer
- 3600
ExplanationL. C. M of 3, 4, 5, 6, 8 is 120
Now, 120 = 2 x 2 x 2 x 3 x 5
? Required number = (2 x 2 x 2 x 3 x 5) x (2 x 3 x 5)
= 3600 - 1. ? 0.04 x 0.4 x a = 0.4 x 0.04 x ? b, then the value of a/b is?
Options- A. 0.016
- B. 1.60
- C. 0.16
- D. None of these Discuss
- 2. Which of the following numbers, Where in some of the digit have been suppressed by Symbols, can possibly be the perfect square of a 3 digit odd number.?
Options- A. 65xxx1
- B. 9xx1
- C. 10xxx4
- D. 9xxxxxx5 Discuss
- 3. If ? 2 = 1.4142, the value of 7/ (3 + ? 2) is?
Options- A. 1.5858
- B. 4.4142
- C. 3.4852
- D. 3.5858 Discuss
- 4. ?( 12 + ?12 + ?12 + ... =?
Options- A. 3
- B. 4
- C. 6
- D. Greater than 6 Discuss
- 5. If ? 1 + 27/169) = (1 + N/13). then N equals?
Options- A. 1
- B. 3
- C. 5
- D. 7 Discuss
- 6. (? 5 - ? 3)/ (? 5 + ? 3) is equal to?
Options- A. 4 + ?15
- B. 4 - ?15
- C. 1/2
- D. 1 Discuss
- 7. If a = (? 5 + 1) / (? 5 - 1) and b = (? 5 - 1) / ( ? 5 + 1) then the value of (a 2 + ab + b 2) / (a 2 - ab + b 2) is?
Options- A. 3/4
- B. 4/3
- C. 3/5
- D. 5/3 Discuss
- 8. The least number by which 216 must be divided to make the result a perfect square is?
Options- A. 3
- B. 4
- C. 6
- D. 9 Discuss
- 9. The least number by which 176 be multiplied to make the result a perfect square is?
Options- A. 8
- B. 9
- C. 10
- D. 11 Discuss
- 10. The length of diagonal of a square is 8 cm. The length of the side of the square is?
Options- A. 2 cm
- B. 2.8 cm
- C. 1.414 cm
- D. 5.64 cm Discuss
Square Root and Cube Root problems
Search Results
Correct Answer: 0.016
Explanation:
?0.04 x 0.4 x a = 0.4 x 0.04 x ?b
? ?0.016 a = 0.016 x ?b
? ?a / ?b = 0.016/?0.016 = ?0.016
? ?a/b = ?0.016
So a/b = 0.016
Correct Answer: 65xxx1
Explanation:
The square of an odd number cannot have 4 as the unit digit. The square of a 3 digit number will have at least 5 digit and at the most 6 digits. So. answer (A) is correct.
Correct Answer: 1.5858
Explanation:
7/(3 + ?2) = [7 x (3- ?2)] / [(3 + ?2) x (3- ?2)]
= [7 x ( (3- ?2)] / 7
= 3- ?2
= 3 - 1.4142
= 1.5858
Correct Answer: 4
Explanation:
Let given expression = x
Then, ?12 + x = x
? 12 + x = x2
? x2 - x - 12 = 0
? (x - 4) (x + 3) = 0
So, x = 4 (neglecting x = -3)
Correct Answer: 1
Explanation:
?1 + 27/169 = (1 + N/13)
? ?196/169 = (1 + N/13)
? 14/13 = (1 + N/13)
? N/13 = (14/13 - 1 ) = 1/13
? N = 1
Correct Answer: 4 - ?15
Explanation:
(?5 - ?3)/ (?5 + ?3)
= (?5 - ?3) / (?5 + ?3)
= (?5 - ?3)2 / (5 - 3)
= (5 + 3 - 2?5 x 3) / 2
= 2 (4 - ?15) / 2
= (4 - ?15)
Correct Answer: 4/3
Explanation:
a = [(?5 + 1) / (?5-1)] x [(?5 + 1) / (?5 + 1)]
= (?5 + 1)2 / (5 - 1)
= (5 + 1 + 2 ?5) / 4
= (3 + ?5) / 2
b = [(?5 - 1) / (?5 + 1)] x [(?5 - 1 ) / (?5 -1)]
= (?5 - 1 )2 / (5 - 1)
= (5 + 1 - 2?5) / 4
= (3 - ?5) / 2
Now a2 + b2 = [(3 + ?5)2 + (3 - ?5)2] / 4
= [2 x (9 + 5 )] / 4
= 7
ab = 1
? (a2 + ab + b2) / (a2 - ab + b2)
= (7 + 1) / (7 - 1)
= 8/6
= 4 / 3
Correct Answer: 6
Explanation:
216 = 2 x 2 x 2 x 3 x 3 x 3
= (2 x 2) x 2 x ( 3 x 3) x 3
Clearly, in order to make it a perfect square, it must be divided by 2 x 3 i.e., 6 .
Correct Answer: 11
Explanation:
176 = 2 x 2 x 2 x 2 x 11
So, in order to make it a perfect square, it must be multiplied by 11.
Correct Answer: 5.64 cm
Explanation:
a2 + a2 = (8)2
? 2a2 = 64
? a2 = 32
? a = ?32 = 4?2
= 4 x 1.41
= 5.64 cm
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