SSC CGL Average Practice Test 2026 — Free Chapter Wise Questions

Average 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.

Average is the cheapest chapter in SSC CGL arithmetic to make reliable, because the whole of it rests on one line: average = total ÷ count, and the same line read backwards, total = average × count. Totals can be added, subtracted and carried across a change; averages cannot. Turn every average in the question into a total, do the arithmetic there, and divide once at the end — that single habit solves the large majority of what the paper asks.

The marks are lost in two places. The first is forgetting that the count moves: when a member joins, leaves or is left out of a reckoning, the divisor changes along with the total, while in a replacement it does not change at all. The second is averaging averages — two groups of different sizes never combine to the midpoint of their two figures, and the wrong option for exactly that slip is on the paper almost every time. Each test puts twenty-five average questions in front of you in one sitting, which is what makes both habits automatic.

How Many Average Questions Are Asked in SSC CGL?

Average is a mid-weight chapter that pays twice: it carries its own question almost every shift, and it is the working machinery inside data interpretation, ages and mixture as well.

Counts vary by shift. Beyond the direct question, every data interpretation set asks for an average of a row or a column, and age questions usually open with the average age of a family or a class — so the chapter earns more than its own line in the table.

What You Will Practice in the Average Chapter

Core topics

• The average of a listed data set, of a table of readings, and of a set with one entry missing
• Consecutive integers and consecutive even or odd numbers — average as the middle term or the mid-point of the ends
• The first n natural numbers, the first n even and the first n odd numbers, and their sums
• Prime numbers in a range, multiples of a number in a range, and the first n multiples
• Squares and cubes of the first n natural numbers, and why the average of the squares beats the square of the average
• Equally spaced lists with a step bigger than one — the kth term, the two ends, the sum
• A member joining a group, and the average rising or falling as a result
• A member leaving, and the value removed recovered from the shift
• A replacement, where the count never changes and only the gap between the two members matters
• Several leaving and joining at once, equal numbers or unequal
• Blocks removed from the top, the bottom, or both ends of an order of merit
• Two blocks that overlap, sharing one member or several, and two that fall short of covering the span
• Weighted and combined averages — groups of different sizes, three groups, and sizes given only as a ratio
• An unknown group size, or an unknown group average, recovered from the combined figure
• A wrong entry, two wrong entries in opposite directions, a digit or decimal slip, a duplicated entry and an omitted member
• The class strength or the size of an error recovered from the shift in the average
• The same operation applied to every term, and operations undone in reverse order
• A member described against the average that his own value helps to make
• Averages, group sizes and members written in letters
• Deviations about an assumed value, and the fact that deviations from the true average sum to zero
• Ages — a family rolled forward in time, a birth, a death, a member replaced
• Batting and bowling averages, the innings needed to reach a target, and required run rate
• Average speed over equal distances, equal times, and unequal parts of a journey
• Averages of a bounded set of values, of powers of one base, and of numbers meeting several conditions at once

Formulas worth memorising

Only the first row is really a formula; everything under it is that row read in a different direction. If total = average × count is written down before anything else, most of the table can be rebuilt on the spot.

The three mistakes that cost the most marks

• Leaving the count unchanged when it moved. A member joining or leaving changes the divisor as well as the total; an omitted student raises it, a duplicated entry lowers it. A replacement is the one case where the count is fixed. Half the wrong options in this chapter are exactly what you get from dividing by the old count.
• Averaging two averages. If 30 workers average 32 pieces and 45 average 47, the unit does not average 39.5 — it averages 38, because the larger group pulls harder. The plain average of the two figures is offered as an option almost every time this shape appears, and it is right only when the two groups are the same size.
• Using the plain average for speed. Equal distances at 40 and 60 km/h give 2uv/(u+v) = 48 km/h, not 50, because more time is spent on the slower stretch; equal times really do give 50. Read which of the two is stated before reaching for any formula, and when the parts are unequal, fall back to total distance over total time.

Solved Examples — SSC CGL Average

How the Average Chapter Tests Work

• 25 questions per test, with a full question palette — answered, skipped, marked for review, not visited.
• 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.
• 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 Average for SSC CGL

1. Convert every average to a total before anything else. Write total = average × count for each group in the question. Totals add and subtract; averages do not, and nearly every trap in the chapter is built on that difference.
2. Ask what happened to the count. Joined, left, omitted, duplicated — the divisor moves. Replaced — it does not. Decide this before touching the arithmetic.
3. Learn the two entrant rules cold. Entrant = new average + (rise) × (old count) and leaver = old average + (fall) × (count that remains). Between them they answer most of the joining-and-leaving questions in one line.
4. For a replacement, work with the gap. (in − out) = (change in average) × count. The group's own average is never needed and is usually not even given.
5. Never average two averages. Weight each by its group size. When only a ratio of sizes is given, use the ratio numbers as the weights — the real head count is not needed.
6. Use the reverse-distance rule for group sizes. If two groups average a₁ and a₂ and the whole averages A, the sizes stand in the ratio (a₂ − A) : (A − a₁). The group nearer the combined average is always the larger.
7. For equally spaced runs, use the ends. Average = mid-point of the first and last term, whatever the count and whatever the step; a block cut out of such a run obeys the same rule on its own two ends.
8. Handle errors on the total, with signs. Shift = net error ÷ count. Two errors pointing opposite ways partly cancel; two entries swapped with each other cancel entirely and the average does not move at all.
9. Do Level 1 untimed, the same day you finish the theory. It is set at real SSC CGL difficulty; the aim is picking the right method, not speed.
10. Repeat Level 1 with the 15-minute clock on, then move to Level 2. After that, verify against a previous year paper and a full mock test under locked sectional timing.

Related SSC CGL Maths Chapters

These chapters all turn words into a total or a ratio before any arithmetic starts. Practising them as a block is the fastest route through arithmetic.

All SSC CGL Chapter Wise Tests

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

SSC CGL Average — Frequently Asked Questions

More Free SSC CGL Practice