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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.
Study the following information carefully and answer the questions that follows. 5 persons Anil, Bhagat, Ishan, Deepak and Parmish use 5 different apps namely, WhatsApp, Instagram, Twitter, Facebook and LinkedIn. They all wear different brands of shoes namely, Adidas, Reebok, Nike, Puma and Vans. The person who wears Puma shoes does not uses Facebook. Parmish wear Nike shoes and uses LinkedIn app. Anil who wear Adidas shoes but neither uses Facebook nor Twitter. Ishan neither wear Vans nor Puma shoes but he uses Twitter app. The person who uses WhatsApp doesn’t wear Adidas shoes. Bhagat uses Facebook app. Deepak wear which shoes brand, and also determine who uses Instagram?
One side of a triangle and a rectangle is the same. The third vertex of the triangle lies on the midpoint of the rectangle side opposite the common side. The rectangle sides are in the ratio 2 : 3 and the common side is the longer side of the rectangle.  What is the sin value of the angle between the common side and the equal side of the triangle?
Find x for the CRT when x= 2 mod 3; x= 3 mod 5; x = 2 mod 7
Which of the following statements about the Organisational Behaviour (OB) system is/are true and false?
1. OB believes inopen system.
2. It has three sub-systems namely formal organisation system, individual system and social system.
3. They are no intervening mechanisms to lead organisationl behaviour towards organisational effectiveness.
4. OB Mod and reinforcement are outside the purview of OD system.
_____________ is an encryption program or add-ons which provides cryptographic privacy & authentication for email communication.
A part of the sentence may or may not have an error. Find out which part has an error and mark that part as your answer. If there are no errors, mark 'No error' as your answer.  The functional sections of the brain are also categorized by side-the right side and the (A)/left side, each side are responsible for different functions,(B)/ and general patterns of dysfunction may occur depending on the side of the brain sustaining an injury.(C)/ No Error (D)
An IP machine Q has a path to another IP machine H via three IP routers R1, R2, and R3. Q—R1—R2—R3—H H acts as an HTTP server, and Q connects to H via HTTP and downloads a file. Session layer Encryption is used, with DES as the shared key encryption protocol. Consider the following four Pieces of information: [I1] The URL of the file downloaded by Q [I2] The TCP port numbers at Q and H [I3] The IP addresses of Q and H [I4] The link layer addresses of Q and H Which of I1, I2, I3, and I4 can an intruder learn through sniffing at R2 alone?
The longest side of a triangle is 2 times the shortest side and the third side is 4 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.
In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. the length of the smallest side of the triangle PQR is: