Question
Which big data technology is specifically designed for
distributed data processing using a cluster of computers?Solution
Hadoop is an open-source framework designed for distributed storage and processing of large datasets using a cluster of computers. It utilizes the Hadoop Distributed File System (HDFS) for data storage and the MapReduce programming model for processing, making it suitable for handling big data efficiently. b) MongoDB is a NoSQL database designed for unstructured data but is not specifically for distributed processing. c) Cassandra is a NoSQL database for distributed data storage and management but not a processing framework like Hadoop. d) Redis is an in-memory data structure store used for caching and fast data retrieval, not for distributed processing. e) SQLite is a lightweight, serverless database engine used for smaller, single-user applications, not for big data.
If x + y + xy = 118, such that x < y and both 'x' and 'y' are positive integers, then find minimum value of (x + y) .
If 0.125x3 +0.216y3 = 210 and 0.25x2 + 0.36y2 = 10.30 then find the value of 0.5x + 0.6y.
If p = 33 - q - r and pq + r(q + p) = 260, then find the value of (p² + q² + r²).
If x + 1/x = 5 then find out the value of x⁵ + 1/(x⁵)?
If (a + b) = 9 and ab = 14, find the value of (a² + b²).

Find the value of 3/4 cot² 30° + cos² 30°-3cosec²60° + tan² 60°.
If 8x3 - 125y3 = (2x - Ay) X (Bx2 + 25y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
If (a + b) = 9 and (a2 + b2) = 53, then find the value of (a × b).
- Find the value of the expression {(4096) n /4 × 8 3n + 1 }/{(512) n × 8 n – 1 }.