Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
1664 ÷ 4 × 2 + 712 - 316 = 436
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
(1) ÷ and +
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
After changing the signs:
⇒ 1664 + 4 × 2 ÷ 712 - 316 = 436
Apply BODMAS rule:
⇒ 1664 + 4 × 0.0028 - 316
⇒ 1664 + 0.0112 - 316
⇒ 1664.0112 - 316 = 1348.0112
Here, the equation is not satisfied.
(2) ÷ and -
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
After changing the signs:
⇒ 1664 - 4 × 2 + 712 ÷ 316 = 436
Apply BODMAS rule:
⇒ 1664 - 4 × 2 + 2.25
⇒ 1664 - 8 + 2.25
⇒ 1666.25 - 8 = 1658.25
Here, the equation is not satisfied.
(3) - and +
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
After changing the signs:
⇒ 1664 ÷ 4 × 2 - 712 + 316 = 436
Apply BODMAS rule:
⇒ 416 × 2 - 712 + 316
⇒ 832 - 712 + 316
⇒ 1148 - 712 = 436
⇒ '1664 ÷ 4 × 2 - 712 + 316 = 436'
Here, the equation is satisfied.
(4) + and ×
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
After changing the signs:
⇒ 1664 ÷ 4 + 2 × 712 - 316 = 436
Apply BODMAS rule:
⇒ 416 + 2 × 712 - 316
⇒ 416 + 1424 - 316
⇒ 1840 - 316 = 1524
Here, the equation is not satisfied.
Hence, the correct answer is "Option (3)".
Last updated on Jul 21, 2025
-> NTA has released UGC NET June 2025 Result on its official website.
-> SSC Selection Post Phase 13 Admit Card 2025 has been released at ssc.gov.in
-> 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.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> 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.
-> NTA has released the UGC NET Final Answer Key 2025 June on its official website.