Discussion
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- Question
- If x = (?2 + 1)/(?2 - 1) and y = (?2 - 1)/(?2 + 1), then 3 (xy + 1) is euqal to?
Options- A. x + y
- B. x - y
- C. 2 (x + y)
- D. None of above
- Correct Answer
- x + y
Explanationxy = [(?2 + 1)/(?2 - 1)] x [(?2 - 1)/(?2 + 1)] = 1
? 3(xy + 1) = 3(1 + 1) = 6
Now, x + y = [(?2 + 1)/(?2 - 1)] + [(?2 - 1)/(?2 + 1)]
= (?2 + 1)2 + (?2 - 1)2 / (?2 - 1) (?2 + 1)
= (2 + 1 +2?2) + (2 + 1 - 2?2) / (2 - 1) = 6
? 3(xy + 1) = x + y - 1. Each student of class IX contributed some money for a picnic. The money contributed by each student was equal to the cube of the total number of student. If the total collected amount was Rs. 29791, then find the total number of students.
Options- A. 30
- B. 31
- C. 33
- D. 40 Discuss
- 2. A certain number of people agree to subscribe as many rupees each as there are subscribers. The whole subscription is Rs. 2582449. Find the number of subscriber.
Options- A. 1607
- B. 1291225
- C. 1503
- D. 1603 Discuss
- 3. A general wishing to draw up his 16160 soldiers in the form as a solid square, found that he had 31 soldiers left over. Find the number of soldiers in the front.?
Options- A. 126
- B. 125
- C. 128
- D. 127 Discuss
- 4. Find the number whose square is equal to the difference between the square of 75.15 and 60.12.?
Options- A. 225.9
- B. 67.635
- C. 45.09
- D. 15.03 Discuss
- 5. Find the least number which multiplied with 74088 will make it a perfect square?
Options- A. 42
- B. 44
- C. 46
- D. 48 Discuss
- 6. The least perfect square which is divisible by each of 21, 36 and 66 is equal to?
Options- A. 213444
- B. 223444
- C. 213442
- D. 223445 Discuss
- 7. In an opera house, there are 7777 chairs to be placed but the organizer of the event arranged all the chair in such a way that these were as many columns as there were rows, so he had to remove minimum n chairs from the total 7777 chairs. The minimum value of n is?
Options- A. 121
- B. 44
- C. 33
- D. 25 Discuss
- 8. In a bangel shop, the shopkeeper displays the bangels in the form of a square, then he is left with 38 bangles with him. If he wants to increse the size of square by one unit each side of the square, he found that 25 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was?
Options- A. 1690
- B. 999
- C. 538
- D. Cannot be determined Discuss
- 9. The sum of two number, when multiplied with each of the number separately, then the results of these multiplication are 2418 and 3666, respectively. Find the difference between the numbers.?
Options- A. 16
- B. 21
- C. 19
- D. 23 Discuss
- 10. One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.
Options- A. 32
- B. 34
- C. 35
- D. 36 Discuss
Order of Magnitude problems
Search Results
Correct Answer: 31
Explanation:
Total collected amount = Rs. 29791
? Total number of student = ?29791 = 31
Correct Answer: 1607
Explanation:
Let the total number of subbscribers be x.
Then, x2 = 2582449
? x = ?2582449 = 1607
Correct Answer: 127
Explanation:
Let the total number of soliders in front be x. Then, total number of soliders in form of solid square = x2
According to the question, x2 + 31 = 16160
? x2 = 16129 ? x = ?16129
? x = 127
Correct Answer: 45.09
Explanation:
Let the number be x.
Then, accordingto the question,
x2 = (75.15)2 - (60.12)2
? x2 = 5647.52 - 3614.41
? x2 = 2033.11
? x = 45.09
Correct Answer: 42
Explanation:
74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
= (2 x 2) x (3 x 3) x (7 x 7) x ( 2 x 3 x 7)
? Least number which should be multiplied to 74088 to make it a perfect suqare = 2 x 3 x 7 = 42
Correct Answer: 213444
Explanation:
Ans. LCM of 21, 36 and 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 77 [for (7 x 11)].
? Required number = 22 x 32 x 72 x 112 = 213444
Correct Answer: 33
Explanation:
7777 - N must be a perfect square.
Now, using the option, we find that N = 33
7777 - 33 = 7744 is perfect square.
Correct Answer: 999
Explanation:
Let the number of bangles be x. Then, x - 38 is a perfect square and x + 25 is a perfect square.
Now, using the option, we find that x = 999
999 - 38 = 961 is a perfect square.
999 + 25 = 1024 is a perfect square
Correct Answer: 16
Explanation:
Let the number be x and y.
Now, according to the question,
x(x + y) = 2418 .....(i)
and y(x + y) = 3666 .....(ii)
On adding Eqs. (i) and (ii), we get
x2 + xy + yx + y2 = 6084
? x2 + 2xy + y2 = 6084
? (x + y)2 = 6084
? x + y = ?6084 = 78
On subtracting Eq. (ii) from Eq. (i), we get
x2 + xy - yx - y2 = -1248
? x2 - y2 = -1248
? (x + y) (x - y) = -1248
? 78(x - y) = -1248
? x - y = - 1248 / 78 = -16
? (y - x) = 16
Correct Answer: 36
Explanation:
Let the total number of camels be x.
Then, acording to the question,
x/4 + 2?x + 15 = x
? x - x/4 - 2 ?x = 15
? 3x - 8?x - 60 = 0
? ?x = [8 ± ?64 + 720] / 6
= (8 ± 28) / 6
? x = 36
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