Q. What is curl of the vector field 2𝑥2𝑦𝐢 + 5𝑧2𝐣 − 4𝑦𝑧𝐤 ? A. 6𝑧𝐢 + 4𝑥𝐣 − 2𝑥2𝐤 B. 6𝑧𝐢 − 8𝑥𝑦𝐣 + 2𝑥2𝑦𝐤 C. −14𝑧𝐢 + 6𝑦𝐣 + 2𝑥2𝐤 D. −14𝑧𝐢 − 2𝑥2𝐤 Ans: −14𝑧𝐢 − 2𝑥2𝐤 Solution:
What is curl of the vector field 2𝑥2𝑦𝐢 + 5𝑧2𝐣 − 4𝑦𝑧𝐤 ? Read More »
![Euclidean norm (length) of the vector [4 −2 −6]𝑇 is](https://www.gkseries.com/blog/wp-content/uploads/2023/07/Euclidean-norm-length-of-the-vector-4-−2-−6𝑇-is-1024x536.jpg)
Q. Euclidean norm (length) of the vector [4 −2 −6]𝑇 is A. √12 B. √24 C. √48 D. √56 Ans:
Euclidean norm (length) of the vector [4 −2 −6]𝑇 is Read More »
Q. “Popular Hindi fiction, despite – or perhaps because of – its wide reach, often does not appear in our cinema. As ideals that viewers are meant to look up to rather than identify with, Hindi film protagonists usually read books of aspirational value: textbooks, English books, or high value literature.” Which one of the
Q. An oil tank can be filled by pipe X in 5 hours and pipe Y in 4 hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in 20 hours. If initially the tank was empty and someone started the two
Q. The Newspaper reports that over 500 hectares of tribal land spread across 28 tribal settlements in Mohinitampuram forest division have already been “alienated”. A top forest official said, “First the tribals are duped out of their land holdings. Second, the families thus rendered landless are often forced to encroach further into the forests”. On
Q. Population of state X increased by x% and the population of state Y increased by y% from 2001 to 2011. Assume that x is greater than y. Let P be the ratio of the population of state X to state Y in a given year. The percentage increase in P from 2001 to 2011
Q. Mohan, the manager, wants his four workers to work in pairs. No pair should work for more than 5 hours. Ram and John have worked together for 5 hours. Krishna and Amir have worked as a team for 2 hours. Krishna does not want to work with Ram. Whom should Mohan allot to work
Q. Hima Das was__________only Indian athlete to win______gold for India. (A) the, many (B) the, a (C) an, a (D) an, the Ans: the, a
Hima Das was______only Indian athlete to win______gold for India Read More »
Q. A retaining wall with measurements 30m × 12m × 6m was constructed with bricks of dimensions 8cm × 6cm × 6cm. If 60% of the wall consists of bricks, the number of bricks used for the construction is_____lakhs. (A) 30 (B) 40 (C) 45 (D) 75 Ans: 45 Solution: Volume of the wall =
Q. Suresh wanted to lay a new carpet in his new mansion with an area of 70 × 55 sq. mts. However an area of 550 sq. mts. had to be left out for flower pots. If the cost of carpet is Rs. 50 per sq. mts., how much money (in Rs.) will be spent
