यदि [(216)4 ÷ 364] × 65 = 6m है, तो m = ?

This question was previously asked in
Agniveer Vayu Other than Science (Group Y) 19 Jan 2023 Memory-Based Paper
View all Airforce Group Y Papers >
1. 13
2. 1 1
3. 10
4. 9

Option 4 : 9
Free
CRPF Head Constable Ministerial 22 Feb 2023 (Shift 1) Memory-Based Test
1.4 Lakh Users
100 Questions 100 Marks 90 Mins

Detailed Solution

प्रयुक्त सूत्र:

1. (am)n = amn
2. am × an = am+n
3. am/an = am-n

गणना:

[(216) 4 ÷ 36 4 ] × 6 5 = 6m

⇒ [(6 3 ) 4 ÷ (6 2 ) 4 ] × 6 5 = 6m

उपरोक्त गुणधर्मों का उपयोग करने पर,

⇒ [(6 12 - 8 ] × 6 5 = 6m

⇒ 6 4 × 6 5 = 6m

⇒ 6 9 = 6m

∴ m = 9
The text contains a mathematical question and provides an answer to it, along with a detailed solution.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
यदि [(216)4 ÷ 364] × 65 = 6m है, तो m = ?

This question was previously asked in
Agniveer Vayu Other than Science (Group Y) 19 Jan 2023 Memory-Based Paper
View all Airforce Group Y Papers >
1. 13
2. 1 1
3. 10
4. 9

Option 4 : 9
Free
CRPF Head Constable Ministerial 22 Feb 2023 (Shift 1) Memory-Based Test
1.4 Lakh Users
100 Questions 100 Marks 90 Mins

Detailed Solution

प्रयुक्त सूत्र:

1. (am)n = amn
2. am × an = am+n
3. am/an = am-n

गणना:

[(216) 4 ÷ 36 4 ] × 6 5 = 6m

⇒ [(6 3 ) 4 ÷ (6 2 ) 4 ] × 6 5 = 6m

उपरोक्त गुणधर्मों का उपयोग करने पर,

⇒ [(6 12 - 8 ] × 6 5 = 6m

⇒ 6 4 × 6 5 = 6m

⇒ 6 9 = 6m

∴ m = 9
user
The text contains a mathematical question and provides an answer to it, along with a detailed solution.

TYPE: SINGLE_QUESTION_WITH_ANSWER