Discussion
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- Question
- 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
- Correct Answer
- 16
ExplanationLet 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 - 1. 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
- 2. 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
- 3. 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
- 4. 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 Discuss
- 5. 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
- 6. 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
- 7. If cost of 15 eggs be 75 rupees, then find out the cost of 5 dozen eggs.
Options- A. 300
- B. 400
- C. 500
- D. 600 Discuss
- 8. A stationer buys diaries at 75 rupees per dozen and sells them at 15 rupees per piece. What is the profit?
Options- A. 75
- B. 100
- C. 105
- D. 110 Discuss
- 9. A man bought 18 oranges for a rupee and sold them at 12 oranges for a rupee. what is the profit percentage?
Options- A. 33.33 %
- B. 50 %
- C. 66.66 %
- D. None of these Discuss
- 10. On selling an article for Rs. 240, a trader loses 4%. In order to gain 10 % he must sell that article for
Options- A. Rs. 275
- B. Rs. 340
- C. Rs. 320
- D. Rs. 264 Discuss
Order of Magnitude problems
Search Results
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: 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: 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: x + y
Explanation:
xy = [(?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
Correct Answer: 31
Explanation:
Total collected amount = Rs. 29791
? Total number of student = ?29791 = 31
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
Correct Answer: 300
Explanation:
Cost of 15 eggs = 75 rupees
Cost of 1 egg = 75/15 = 5 rupees,
Cost of 5 dozens, i.e. 5 x 12 = 60 x 5 = 300
Correct Answer: 105
Explanation:
Each dozen carries cost 75 rupees and are sold for
12 x 15 = 180 rupees
profit = SP-CP
profit = 180-75 = 105 rupees
Correct Answer: 50 %
Explanation:
From question CP/SP = 12/18 = 2/3
? Profit (%) = ( 3 - 2 ) / 2 x 100 = 50%
2nd Solution:
CP = 100/18 = 5.55 paisa
SP = 100/12 = 8.33 paisa
? Profit = (8.33-5.55)/5.55 x 100 = 50 %
Correct Answer: Rs. 275
Explanation:
Let the CP be Rs. x , then SP be 0.96x
? 0.96x = 240
? x = 250
Now the new SP = 250 X 1.1 = 275
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