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For any integers a and b, and positive integer n, consider the following statement: Statement: 1 If a ≡ b mod n and c ≡ d mod n then a + c ≡ b + d mod n. Statement: 2 If a ≡ b mod n, and c is a positive integer, then ca ≡ cb mod cn Statement: 3 If ab ≡ ac mod n and if gcd(a, n) = 1, then we have b ≡ c mod n. Which of the following statement is/are correct.
Find x for the CRT when x= 2 mod 3; x= 3 mod 5; x = 2 mod 7
The following sentences form a paragraph. These four parts are numbered as P, Q, R and S. They are not given in their proper order. Read the sentences and choose the alternative that arranges them in correct order. P. Inverse problem refers to the scientific problem of estimating the different causes that led to a particular outcome.  Q. This is in contrast to the forward or the direct problem where scientists try to find the outcome that results from a series of causes. R. A scientist observing a photograph, for instance, would be faced with the inverse problem while trying to figure out the various causal factors that combined to form the final photograph. The inverse problem is applied to understand processes in a wide variety of sciences. S. Scientists trying to understand an observation may at times have to work backwards to estimate the causal factors behind it.
If a ≡ b mod(n) and b ≡ c mod(n) , then
In a certain code language, ‘kit sat lid’ means ‘save me sir‘, 'sat po mod' means 'sir is good’, ‘tab mod kit’ means ‘is me cake’ and ‘po les not’ means ‘good and bad’. In that language, what is the code for 'save'?
The Ministry of Defence (MoD) has initiated a project to create an interactive virtual museum of the country’s Gallantry award winners. MoD will implement the project in partnership with which of the following?
Defence Minister Rajnath Singh has approved increasing the funding to MSMEs and startups under the Technology Development Fund (TDF) scheme of the Ministry of Defence (MoD). What is the new upper limit as announced by the MoD?
What is 11 mod 7 and -11 mod 7?
Which Cryptographic system uses C1 = (e1r) mod p and C1 = (e2r x P) mod p at the encryption side?
৬০ লিটার কেরোসিন ও পেট্রোলের মিশ্রণের অনুপাত ৭ঃ৩। ঐ মিশ্রণে আর কত লিটার পেট্রোল মিশালে অনুপাত ৩ঃ৭ হবে?