UPSC Exam  >  UPSC Questions  >  Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/... Start Learning for Free
Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]
a) 36
b) 39
c) 78
d) 18?
Most Upvoted Answer
Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 7...
Given Expression:
[3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}] ÷ [1/2 of 4×1/3]

Solution:

Simplify the expression step by step:
1. Inside the brackets:
- 2×1/2 = 1
- 1/4 + 1/6 = 5/12
- 1×1/4 - 1/2(1 - 5/12) = 1/4 - 1/2(7/12) = 1/4 - 7/24 = 6/24 - 7/24 = -1/24
2. Simplify the expression further:
- 3×1/4 / -1/24 = 3×1/4 × -24/1 = -18
3. Calculate 1/2 of 4×1/3:
- 4×1/3 = 4/3
- 1/2 of 4/3 = 1/2 × 4/3 = 2/3
4. Divide the results from step 2 by step 3:
- (-18) / (2/3) = -18 ÷ 2/3 = -18 × 3/2 = -27
Therefore, the solution to the given expression is -27.

Final Answer: -27
Explore Courses for UPSC exam

Top Courses for UPSC

Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18?
Question Description
Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18?.
Solutions for Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18? defined & explained in the simplest way possible. Besides giving the explanation of Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18?, a detailed solution for Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18? has been provided alongside types of Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18? theory, EduRev gives you an ample number of questions to practice Solve: [3×1/4/{1×1/4-1/2(2×1/2-1/4+1/6)}]÷[1/2 of 4×1/3]a) 36b) 39c) 78d) 18? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev