In the above circle, m A̅E̅ = 4 cm, m B̅E̅ = 15 cm and m C̅E̅ = 2.5 cm are given. What will be the value of m D̅E̅?
To find the length of m D\(\bar{E}\), we use the Power of a Point theorem, which states that if two chords intersect inside a circle, the products of the lengths of the segments of each chord are equal.
Correct Option: C) 24 cm
This question asks about the composition of stainless steel. Stainless steel is an alloy of iron with specific elements added to enhance its properties, particularly corrosion resistance. Knowing the common alloying elements for stainless steel is key to answering this question.
Correct Option: A) Ni; Cr — Stainless steel is an alloy of iron, nickel (Ni), and chromium (Cr). Chromium provides corrosion resistance, while nickel enhances ductility and strength.
Simplify the following expression:
\(\left(\frac{2}{3}\times\frac{4}{6}\right)+\left(\frac{5}{3}\times\frac{7}{10}\right)-\left(\frac{11}{2}\times\frac{4}{33}\right)\)=?
\( \frac{31}{9} \)
\( \frac{17}{18} \)
\( \frac{16}{9} \)
\( \frac{29}{8} \)
To simplify the given expression, we need to perform the multiplication operations first, following the order of operations (BODMAS/PEMDAS). After multiplication, we will perform addition and subtraction from left to right. We will simplify each term separately before combining them.
Correct Option: B) \( \frac{17}{18} \)
The problem presents a series of characters. To find the next character, we need to identify the pattern or rule governing the sequence. This type of problem often involves analyzing the positions of letters in the alphabet or identifying alternating sub-sequences.
Correct Option: D) G
The question asks for India's position in the Most Valuable Nation Brands list according to the Brand Finance 'Nation Brands 2017' report. This requires knowledge of the specific rankings published in that particular report.
Correct Option: D) Eighth
As per the Brand Finance 'Nation Brands 2017' report, India secured the eighth position among the most valuable nation brands globally. The top positions were held by the USA, China, and Germany, respectively.
To find the number whose 12% is 9, we can set up a simple algebraic equation. Let the unknown number be \(x\). The problem states that 12% of \(x\) is equal to 9. We will convert the percentage to a decimal or a fraction and then solve for \(x\).
Thus, the number whose 12% is 9 is 75.
Correct Option: B) 75
This is a direction sense problem. We need to track Mr. Z's facing direction as he takes turns. The distances walked are irrelevant for determining the facing direction, only the turns matter.
Therefore, at point B, Mr. Z is facing West.
Correct Option: C) West
The problem is a coding-decoding type question. We need to identify the pattern used to transform "FIRE" into "DGPC" and then apply the same pattern to transform "SHOT".
The pattern is consistently subtracting 2 from the alphabetical position of each letter.
So, SHOT will be written as QFMR.
Correct Option: A) QFMR
What is the minimum number of straight lines required to make the above figure?
To determine the minimum number of straight lines required to form the given figure, we need to analyze the structure and count the lines systematically.
Correct Option: C) 11