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Gaurav Seth 5 years, 9 months ago
Step-by-step explanation:
Let the set of students who offered mathematics, statistics and physics be M, S and P respectively. Let a be number of students who offered all 3 subjects. So we get
40 – a + a + 20 – a + 8 = 65
So 68 – a = 65
A = 3
Now students who offered Mathematics
15 + 10 – a + a + 40 – a
65 – a
65 – 3 = 62
Now students who offered Statistics
12 + 10 – a + a + 20 – a
42 – a
42 – 3 = 39
Now students who offered any of three subjects are
15 – 12 + 8 + 10 – a + 40 – a + 20 – a + a
105 – 2 a
105 – 2 x 3
105 – 6
= 99
So number of students who did not offer any subjects were 100 – 99 = 1
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Aldehydes are organic compounds which have the functional group -CHO.
An aldehyde is one of the classes of carbonyl group-containing alkyl group on one end and hydrogen on the other end. The R and Ar denote alkyl or aryl member respectively. In the condensed form, the aldehyde is written as –CHO.
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| Soaps | Detergents |
| Consist of a ‘-COONa’ group attached to a fatty acid having a long alkyl chain. | Consist of a ‘-SO3Na’ group attached to a long alkyl chain. |
| They are not effective in hard water and saline water | They do not lose their effectiveness in hard water and saline water. |
| Soaps are completely biodegradable | Detergents containing a branched hydrocarbon chain are non-biodegradable |
| They have a tendency to form sum in a hard water environment. | These compounds do not form scum. |
| They are derived from natural sources such as vegetable oils and animal fats. | Detergents are synthetic derivatives. |
| Soaps are environment-friendly products since they are biodegradable. | These compounds can form a thick foam that causes the death of aquatic life. |
| Examples of soaps: sodium palmitate and sodium stearate. | Examples of detergents: deoxycholic acid and sodium lauryl sulfate. |
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