In the above circle, m AÌ…EÌ… = 4 cm, m BÌ…EÌ… = 15 cm and m CÌ…EÌ… = 2.5 cm are given. What will be the value of m DÌ…EÌ…?
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
The question states that MELT is written as 2419 in a certain code and asks for the code of TIMID. We need to find the rule that converts each letter of MELT into its digit and apply the same rule to each letter of TIMID.
Identify the given information:
Write the alphabetical positions of MELT:
\[ M=13,\quad E=5,\quad L=12,\quad T=20 \]Find the rule:
Subtract 1 from each position and keep only the units digit of the result.
\[ M:13-1=12\rightarrow2 \] \[ E:5-1=4\rightarrow4 \] \[ L:12-1=11\rightarrow1 \] \[ T:20-1=19\rightarrow9 \]This gives 2419, so the rule holds.
Apply the rule to TIMID:
The positions are T = 20, I = 9, M = 13, I = 9 and D = 4.
\[ T:19\rightarrow9,\quad I:8\rightarrow8,\quad M:12\rightarrow2,\quad I:8\rightarrow8,\quad D:3\rightarrow3 \]Therefore, TIMID is written as 98283.
Correct Option: A) 98283 — Each letter is coded as the units digit of (its alphabetical position − 1). For TIMID, this gives 9, 8, 2, 8, 3, that is, 98283. Hence, Option A is the correct answer.
B) 98383: This is incorrect because M is coded as 2 (as in MELT), not 3; this code cannot be obtained from the given rule.
C) 98284: This is incorrect because D gives 4 − 1 = 3, not 4; this code cannot be obtained from the given rule.
D) 98384: This is incorrect because both M and D are miscoded; the correct code is 98283, and this code cannot be obtained from the given rule.
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