SSC CGL Mathematical Operations Questions 2026 (BODMAS, Sign Interchange & Symbol Substitution) — Free Chapter Wise Practice Test

Signs that stand for other signs, letters and symbols used as codes, “which two signs should be interchanged”, interchanged numbers, replacing the * signs to balance an equation, “which equation becomes correct” and custom operations such as a # b = 2a + 3b. 25 questions per test, with full solutions and shortcut tricks in English or हिंदी.

2 Difficulty Levels 25 Questions per Test 15 min optional timer English & हिंदी

Mathematical Operations Tests — Pick a Level and Start

Tap a level to see every test in it. Level 1 is set at real SSC CGL difficulty — start there the day you finish the concept. Level 2 is pitched above the exam, to push accuracy under pressure.

Level 1 SSC CGL Level Checking… View tests

Same difficulty as the real SSC CGL paper. Four signs and short expressions: “‘+’ means ‘×’” substitution, letter codes, which two signs to interchange, a given interchange, replacing the * signs, which equation becomes correct, which two numbers to interchange and a single custom operation. A steady score here means the chapter is exam-ready.

Loading tests…
Level 2 Above SSC CGL Level Checking… View tests

Harder than the exam asks. Six- and seven-number expressions, two interchanges at once, signs and numbers interchanged together, an ‘=’ hidden among the * signs, two custom operations nested in brackets, finding x from a custom operation, and the missing number under a sign code. Wrong options are the slips students actually make: reading the code backwards, solving left to right and forgetting one of the changes.

Loading tests…

Every mathematical operations question comes down to two steps: put the real signs in place, then apply BODMAS. The signs may be coded (“‘+’ means ‘×’”), swapped (“‘+’ and ‘×’ are interchanged”) or missing altogether (the * signs), but the arithmetic is always simple once the expression is written correctly.

Marks are lost in three places. The first is reading the code backwards — “‘+’ means ‘×’” turns every printed ‘+’ into ‘×’, not every ‘×’ into ‘+’. The second is solving from left to right instead of doing ÷ and × first. The third is changing only one occurrence of a sign when the question asks for every one to be interchanged.

How Many Mathematical Operations Questions Are Asked in SSC CGL?

Mathematical operations is a regular part of General Intelligence — usually one or two questions in a Tier I shift, and the same forms appear in CHSL. The forms it takes are listed below, most common first.

Form of the questionHow often
Sign or letter substitution — find the valueThe most common form
Which two signs should be interchangedCommon
Replace the * signs to balance the equationCommon
Given interchange — find the value, or which equation becomes correctRegular
Which two numbers (or two signs and two numbers) to interchangeOccasional
Custom operations (a # b = 2a + 3b) and the missing numberLess common

Missing numbers in a figure or a matrix of numbers are practised in the separate Missing Number chapter.

What You Will Practice in the Mathematical Operations Chapter

Decoding the signs

  • “‘+’ means ‘×’, ‘−’ means ‘÷’ …” — find the value of the expression
  • Letters and symbols as codes for the four signs (A, B, C, D or @, #, $)
  • The missing number in an equation written in coded signs

Interchanging signs and numbers

  • Which two signs should be interchanged to make the equation correct
  • A given interchange — find the value of the expression
  • Which of four equations becomes correct after the change
  • Which two numbers, or which two signs and two numbers, should be interchanged

Balancing and custom operations

  • Replacing the * signs from left to right to balance the equation, with ‘=’ among them in Level 2
  • Custom operations such as a # b = 2a + 3b, used once, twice or inside brackets
  • Finding x when x # b is given

Rules worth knowing instantly

SituationWhat to do
Order of operationsBODMAS — ÷ and × first, then + and −
“‘+’ means ‘×’”Every printed ‘+’ becomes ‘×’; nothing else changes because of this line
“‘+’ and ‘×’ are interchanged”Every ‘+’ becomes ‘×’ and every ‘×’ becomes ‘+’
Two numbers interchangedThe numbers change places; the signs stay where they are
Replace the * signsFill the option’s signs strictly from left to right
a # b = 2a + 3ba is the number before the symbol, b the number after it; work brackets first

Change all the signs first and only then calculate — mixing printed and real signs is where most wrong answers come from.

The three mistakes that cost the most marks

  • Reading the code backwards. “‘+’ means ‘×’” replaces the printed ‘+’; it does not turn ‘×’ into ‘+’.
  • Ignoring BODMAS. 7 + 6 × 2 is 19, not 26.
  • Swapping the order in a custom operation. a # b and b # a are usually different numbers.

Solved Examples — SSC CGL Mathematical Operations

Q1. If ‘+’ means ‘×’, ‘×’ means ‘−’, ‘−’ means ‘÷’ and ‘÷’ means ‘+’, find the value of 7 + 6 ÷ 48 − 8 × 5.
With the real signs: 7 × 6 + 48 ÷ 8 − 5. BODMAS: 42 + 6 − 5. Answer: 43
Q2. Which two signs should be interchanged to make the equation correct? 16 + 4 ÷ 3 × 8 − 2 = 26
Interchange + and ÷: 16 ÷ 4 + 3 × 8 − 2 = 4 + 24 − 2 = 26. Answer: + and ÷
Q3. Select the signs that replace the * signs from left to right and balance the equation: 12 * 4 * 5 * 6 * 2 = 31
Fill the signs from left to right and use BODMAS. With ÷, +, ×, −: 12 ÷ 4 + 5 × 6 − 2 = 3 + 30 − 2 = 31. Answer: ÷, +, ×, −
Q4. If a # b = 2a + 3b, find the value of (3 # 2) # 4.
Bracket first: 3 # 2 = 6 + 6 = 12. Then 12 # 4 = 24 + 12 = 36. Answer: 36

How the Mathematical Operations Tests Work

  • 25 questions per test, with a full question palette — answered, skipped, marked for review, not visited.
  • Every form in every level — substitution, letter codes, sign and number interchange, * signs and custom operations are mixed in each test, with the missing-number form added in Level 2.
  • One answer only — every expression gives the same value whichever way a student orders ÷ and ×, so no option can be argued as correct.
  • Optional 15-minute timer — with the clock to build exam speed, without it while you are still learning the chapter.
  • Marking: +2 correct, −0.5 wrong, 0 unattempted — the same scheme as the real paper.
  • Solutions, shortcut tricks and concept notes open after you submit, question by question — the expression is rewritten, worked by BODMAS, and every wrong option is checked.
  • English and हिंदी, chosen at the start of every test.
  • Free with a TrickySSC account — sign in once with Google or your mobile number, and every test is open to you.

How to Prepare Mathematical Operations for SSC CGL

  1. Write the code under the expression. Put the real sign below each printed one before you touch the numbers.
  2. Rewrite the whole expression once. Calculating while still decoding is how signs get mixed up.
  3. Do ÷ and × first, every time. Then add and subtract from left to right.
  4. In interchange questions, start with × and ÷. Moving them changes the value the most, so the right pair often shows up first.
  5. In * sign questions, read the end first. The last number and the right side usually rule out two options straight away.
  6. Do Level 1 untimed first, then with the 15-minute clock. Move to Level 2 once Level 1 is steady, and then check yourself on a previous year paper.

All SSC CGL Chapter Wise Tests

Every chapter below has its own free Level 1 and Level 2 tests with full solutions.

Browse all 54 chapter tests — Maths (35) · Reasoning (19)
General Intelligence & Reasoning
Quantitative Aptitude (Maths)

SSC CGL गणितीय संक्रियाएँ (Mathematical Operations) चैप्टर टेस्ट — हिंदी में

इस अध्याय में चिह्नों का प्रतिस्थापन (‘+’ का अर्थ ‘×’), अक्षरों और प्रतीकों के कूट, “किन दो चिह्नों को आपस में बदला जाए”, संख्याओं का परस्पर परिवर्तन, * चिह्नों के स्थान पर सही चिह्न रखकर समीकरण संतुलित करना और a # b = 2a + 3b जैसी नई संक्रियाएँ आती हैं। मूल नियम: पहले सभी चिह्न बदलें, फिर BODMAS लगाएँ — पहले भाग और गुणा, फिर जोड़ और घटाव।

सबसे आम गलतियाँ: कूट को उल्टा पढ़ना (‘+’ का अर्थ ‘×’ हो तो हर छपे ‘+’ की जगह ‘×’ आएगा), BODMAS छोड़कर बाएँ से दाएँ हल करना, और किसी चिह्न को केवल एक जगह बदलना।

TrickySSC पर इस अध्याय के सभी टेस्ट हिंदी में उपलब्ध हैं — प्रश्न, विकल्प, विस्तृत हल और शॉर्टकट ट्रिक सब हिंदी में। दो स्तर हैं: लेवल 1 (SSC CGL के स्तर का) और लेवल 2 (SSC CGL से कठिन)। प्रत्येक टेस्ट में 25 प्रश्न, वैकल्पिक 15 मिनट का टाइमर और +2 / −0.5 की वही मार्किंग जो असली परीक्षा में होती है।

SSC CGL Mathematical Operations — Frequently Asked Questions

How many mathematical operations questions are asked in SSC CGL?
Usually one or two questions in a Tier I reasoning section, and the same forms appear in SSC CHSL. They are among the fastest marks in the paper once the method is fixed.
What is the order of operations in these questions?
BODMAS: Brackets, Of, Division, Multiplication, Addition, Subtraction. In practice, do every ÷ and × first, then the + and −. Change the signs first and only then apply BODMAS.
What does “'+' means '×'” tell me to do?
Wherever '+' is printed, put '×' in its place. It is a one-way replacement of the printed sign. Reading it the other way round — turning every '×' into '+' — is the most common mistake in this chapter.
How do I find which two signs should be interchanged?
Take each option, swap every occurrence of the two signs in the equation, and solve the left side by BODMAS. Only one option makes it equal to the right side. Options that put × or ÷ in a new place change the value the most, so test them first.
How do I solve “replace the * signs” questions quickly?
Look at the last number and the right side before anything else: they often show whether the last sign is +, −, × or ÷, which removes two or three options at once. Then check the remaining option with BODMAS.
How many questions are in each test?
Twenty-five questions per test, with an optional 15-minute timer and the real exam marking of +2 for a correct answer, −0.5 for a wrong one and 0 for an unattempted question.
Are the tests available in Hindi?
Yes. Questions, options, detailed solutions and shortcut tricks are available in Hindi, and you choose English or Hindi before the test starts.
What is the difference between Level 1 and Level 2?
Level 1 is set at real SSC CGL difficulty — four signs, one change and short expressions. Level 2 is harder than the exam: longer expressions, two interchanges at once, signs and numbers swapped together, an '=' hidden among the * signs, nested custom operations and the missing number under a sign code.

More Free SSC CGL Practice