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Which of the following is true according to Ramanujan’s congruence?

Which of the following is true according to Ramanujan’s congruence? Correct Answer No. of partitions are divisible by 5 for a number 4 more than a multiple of 5

Ramanujan’s congruence are some relations found for the no. of partitions of an integer. According to it, the number of partitions of an integer is divisible by 5 if that integer is 4 more than a multiple of 5.

Related Questions

Every year, 22 December is celebrated as National Mathematics Day. Which of the following statements is/are INCORRECT regarding the day?  1. The day was declared as National Mathematics Day to commemorate the birth anniversary of Mathematician Srinivasa Ramanujan by Prime Minister Manmohan Singh on 26 February 2012 at Madras University. 2. In 1917, Ramanujan was elected to be a member of the London Mathematical Society. 3. In 2015, the day's significance was enhanced by the opening of the Ramanujan Math Park in Andra Pradesh. 4. The number 1729 is known as the Hardy–Ramanujan number. Select the correct answer using the code given below. (a) 1 only (b) 2 and 4 only (c) 3 only (d) 2 and 3 only 
The question consists of two statements, an assertion and a reason. The student must first determine whether each statement is true. Each question below consists of an assertion and a reason. Assertion (A): Srinivasa Ramanujan was a brilliant mathematician. Reason (R): Ramanujan received a Nobel Prize in Mathematics.
S1:There is a touching story of Professor Hardy visiting Ramanujan as he lay desperately ill in hospital at Putney.
P :'No Hardy, that is not a dull number in the very least.
Q :Hardy, who was a very shy man, could not find the words for his distress.
R :It was 1729.
S :The best he could do, as he got to the beside was "I say Ramanujan, I thought the number of taxi I came down in was a very dull number".
S6:It is the lowest number that can be expressed in two different ways as the sum of two cubes.

The Proper sequence should be:
S1: There is a touching story of Professor Hardy visiting Ramanujan as he lay desperately ill in hospital at Putney.
P: "No Hardy, that is not a dull number in the very least.
Q: Hardy, who was a very shy man, could not find the words for his distress.
R: It was 1729.
S: The best he could do, as he got to the bedside was : "I say, Ramanujan, I thought the number of the taxi I came down in was a very dull number."
S6: It is the lowest number that can be expressed in two different ways as the sum of two cubes."

The Proper sequence should be:
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Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.
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