Discussion
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- Question
- 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
- Correct Answer
- 5.64 cm
Explanationa2 + a2 = (8)2
? 2a2 = 64
? a2 = 32
? a = ?32 = 4?2
= 4 x 1.41
= 5.64 cm - 1. 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
- 2. 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
- 3. 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
- 4. (? 5 - ? 3)/ (? 5 + ? 3) is equal to?
Options- A. 4 + ?15
- B. 4 - ?15
- C. 1/2
- D. 1 Discuss
- 5. The least perfect square number divisible by 3, 4, 5, 6, 8 is?
Options- A. 900
- B. 1200
- C. 2500
- D. 3600 Discuss
- 6. 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. 22.09, the number of members in the group is?
Options- A. 37
- B. 47
- C. 107
- D. 43 Discuss
- 7. The square root of (1/4) x (1/49) ÷ (25/121) is
Options- A. 11/5
- B. 11/70
- C. 7/11
- D. 11/7 Discuss
- 8. A certain number of people agree to subscribe as many rupees each as a there are subscribers. The whole subscription is 2582449 rupees. Find the number of subscribers.
Options- A. 1607
- B. 1291
- C. 1503
- D. 1603 Discuss
- 9. Find the least number by which 175760 be devided to make it a perfect cube.
Options- A. 10
- B. 20
- C. 100
- D. 5 Discuss
- 10. The student of class XI of a school donated 4356 Rupees in all, for Prime Minister's National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.
Options- A. 65
- B. 60
- C. 66
- D. 70 Discuss
Square Root and Cube Root problems
Search Results
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: 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: 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: 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: 3600
Explanation:
L. 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
Correct Answer: 47
Explanation:
Number of members = ?2209
= 47
Correct Answer: 11/70
Explanation:
Square root of (1/4) x (1/49) ÷ (25/121)
= ?(1/4) x (1/49) x (121/25)
= 11 / (2 x 7 x 5)
= 11/70
Correct Answer: 1607
Explanation:
Let the total number of subscribers be x.
Then, according to the question, x2 = 2582449
? x = ?2582449
= 1607
Correct Answer: 10
Explanation:
175760 = 24 x 5 x 13 3
= 23 x 2 x 5 x 133
To make perfect cube, it must be divided by 2 x 5 = 10
Correct Answer: 66
Explanation:
Total money donated = 4356 rupees
As total students are equal to the sum donated by each student.
Total Students =?4356
= 66
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