Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
256 - 4 × 2 + 200 ÷ 19 = 309
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
(1) - and +
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
After interchanging the signs:
⇒ 256 + 4 × 2 - 200 ÷ 19 = 309
Apply BODMAS rule:
⇒ 256 + 4 × 2 - 10.52
⇒ 256 + 8 - 10.52
⇒ 264 - 10.52 = 253.48
Here, the equation is not satisfied.
(2) ÷ and +
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
After interchanging the signs:
⇒ 256 - 4 × 2 ÷ 200 + 19 = 309
Apply BODMAS rule:
⇒ 256 - 4 × 0.01 + 19
⇒ 256 - 0.04 + 19
⇒ 275 - 0.04 = 274.96
Here, the equation is not satisfied.
(3) ÷ and -
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
After interchanging the signs:
⇒ 256 ÷ 4 × 2 + 200 - 19 = 309
Apply BODMAS rule:
⇒ 64 × 2 + 200 - 19
⇒ 128 + 200 - 19
⇒ 328 - 19 = 309
⇒ '256 ÷ 4 × 2 + 200 - 19 = 309'
Here, the equation is satisfied.
(4) + and ×
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
After interchanging the signs:
⇒ 256 - 4 + 2 × 200 ÷ 19 = 309
Apply BODMAS rule:
⇒ 256 - 4 + 2 × 10.52
⇒ 256 - 4 + 21.05
⇒ 277.05 - 4 = 273.05
Here, the equation is not satisfied.
Hence, the correct answer is "Option (3)".
Last updated on Jul 22, 2025
-> The IB Security Assistant Executive Notification 2025 has been released on 22nd July 2025 on the official website.
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.