Class 12th
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New answer posted
5 months agoContributor-Level 10
400 students * 80 days = 240 students * d days
d =
The food was to last 80 more days but now it is lasting 53.33 days more.
New answer posted
5 months agoContributor-Level 10
| A | B |
I | 5x | 3x |
II | 4y | 7y |
5x + 4y = 253 …. (1)
3x + 7y = 161 …. (2)
On solving equations (1) & (2), we get
x = 49 and y = 2.
Hence, type I Alloy = 392 kg, and Type II Alloy = 22 kg
New answer posted
5 months agoContributor-Level 10
The distances covered by them are in the ratio 3:5 and difference is 30 m. This means 5x – 3x = 30 or 2x = 30 or x = 15 m
Therefore, the total distance covered is equal to 120 m. Their speeds are also in the ratio 3 : 5. Since the speed of the first person is 6 m/s, the speed of the second person will be 10 m/s and he has to cover a distance of 45 m.
Therefore time taken
New answer posted
5 months agoContributor-Level 10
Let R be the radius of the recast sphere
R3 = 216 R = 6
Total surface area of 3 spheres
Surface area of the recast sphere = 4π (62)=144
% reduction in area
New answer posted
5 months agoContributor-Level 10
Let A (4, 3), B (6, −2), C (−11, −3) be the vertices of triangle ABC.
AB2 = (6 – 4)2 + (−2 −3)2 = 29
BC2 = (−11 −6)2 + [−3 – (−2)]2 = 290
AC2 = (−11 −4)2 + [ (−3 −3)]2 = 261
As AB2+ AC2= BC2
ABC is a right-angled triangle.
New answer posted
5 months agoContributor-Level 10
Slope of given line = perpendicular line has slope =
Now c = −3 (given)
Putting in general equation y = mx + c
2y = 3x ⇒ 3x-2y=6
New answer posted
5 months agoContributor-Level 10
Total expenses = (35% of 7500) + 712 + 1880 + 272 + 400 + 75 = 6024
Total receipts = 7500 Total profit = 7500 – 6024 = 1476
% profit =
New answer posted
5 months agoContributor-Level 10
We can see that men, women & children are in the ratio = or 2: 3: 4.Number of men, women & children = 10, 15, 20. Now if each man gets 6a, we have10 * 6a + 15 * 5a + 20 * 4a = 1720 or a = 8. So, the answers are Rs. 48, 40, 32.
New answer posted
5 months agoContributor-Level 10
Only possibility is if 1950 is divided by a multiple of 13, because the other glasses have a capacity that is not a multiple of 13.
Hence 1209 is the only choice.
Alternative method:
As the glasses filled by same fractions,
a + b + c = 2046
b = 1209 litres
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