SSC CGL Mixture and Alligation Practice Test 2026 — Free Chapter Wise Questions

Mixture & Alligation 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.

Mixture and alligation looks like several chapters but runs on two ideas. The first is that the liquid you are not touching stays fixed: pour in water and the milk does not change; draw off part of a mixture and every liquid falls by the same fraction. The second is alligation, the balancing rule for two ingredients at different prices or strengths: cheaper : dearer = (dearer − mean) : (mean − cheaper). Nearly every question in the paper is one of these two ideas, or both in a row.

The marks are lost in two places. The first is adding ratio numbers instead of quantities — two mixtures in the ratios 3 : 2 and 1 : 4 do not combine to 4 : 6 unless the two vessels hold exactly the same number of parts, and the wrong option for that slip is on the paper almost every time. The second is subtracting the same amount at every replacement: once water has gone in, each later draw takes out some water too, so the original liquid falls by a fraction, not by a fixed number of litres. Each test puts twenty-five mixture questions in front of you in one sitting, which is what makes both habits automatic.

How Many Mixture and Alligation Questions Are Asked in SSC CGL?

Mixture and alligation carries a small direct share, but alligation is the fastest route through several other chapters, so the time spent on it pays back well beyond its own question.

Counts vary by shift. Beyond the direct question, alligation settles weighted-average questions in one line and handles the “mix two varieties and sell at a gain” problems that are set under profit and loss — so the chapter earns more than its own line in the table.

What You Will Practice in the Mixture and Alligation Chapter

Core topics

• Water or a pure liquid added to reach a new ratio, a set percentage, or equal amounts
• The original quantity, or one liquid in it, recovered from a known addition
• Two successive additions of different liquids, each to its own target
• A metal added to a three-part alloy, or two metals added to meet a share and a ratio together
• The added quantity written as a percentage, a fraction or a multiple of the original
• Part of a mixture removed and replaced with a pure liquid — the new ratio, or the amount replaced
• Part of a mixture removed and replaced with another mixture — the fraction replaced, or the new strength
• A fraction drawn off and replaced with water to reach a target ratio
• The capacity of a vessel recovered from a draw and a refill
• Two mixtures poured together in given quantities, in equal volumes, or so that each supplies the same amount of one liquid
• Three mixtures, or three-ingredient blends that overlap, combined into one
• The ratio in which two mixtures must be combined to reach a target ratio or strength
• Percentage-strength solutions mixed, and an unknown strength recovered from the result
• How much to take from each vessel to make a fixed quantity of a set strength
• x and kx litres of the two liquids added to an existing mixture
• The cost per kg of a blend, and the price of a third variety
• Alligation on prices, on gold purity in carats, and on relative heaviness
• Water that costs nothing mixed into milk, honey or juice
• A blend sold at a gain — the mixing ratio, the selling rate, and the overall gain percent
• Equal sums of money spent on two or three varieties
• Repeated replacement — the liquid left after n draws, the drop in a given round, and the number of rounds needed
• Repeated replacement run backwards — the capacity, or the quantity drawn each time
• Repeated replacement with a mixture instead of pure water
• Transfers between two containers, and a cup poured back and forth between two jugs

Formulas worth memorising

Two rows do most of the work: the alligation rule, and “a draw multiplies every liquid by the same fraction”. Most of the others are those two applied in a particular order.

The three mistakes that cost the most marks

• Adding ratio numbers instead of quantities. Before combining two mixtures, turn each ratio into litres of each liquid, then add like with like. Adding the ratio terms is right only when both vessels hold the same number of parts, and the option built on that slip is offered almost every time.
• Taking the same amount out at every replacement. From a 50-litre can of milk, three draws of 10 litres replaced with water leave 50 × (4/5)³ = 25.6 litres of milk, not 20. After the first draw, each draw removes some water as well.
• Setting up alligation the wrong way round — or with the wrong mean. The cheaper ingredient is matched with (dearer − mean), so the ingredient nearer the mean gets the larger share. In a gain question the mean is the cost of the blend, found by dividing the selling rate by (1 + gain), never the selling rate itself.

Solved Examples — SSC CGL Mixture and Alligation

How the Mixture and Alligation 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 Mixture and Alligation for SSC CGL

1. Turn every ratio into litres first. Write the quantity of each liquid before doing anything else. Ratios cannot be added across vessels; litres can.
2. Ask which liquid is not being touched. When only water goes in, the milk is fixed; when only milk goes in, the water is fixed. Build the target ratio around the fixed liquid and the answer is one line.
3. Treat a draw as a fraction, not a number. Drawing x litres from V multiplies every liquid by 1 − x/V. The liquid poured back is then added to its own amount only.
4. Learn the alligation cross cold. cheaper : dearer = (dearer − mean) : (mean − cheaper). The same cross works for prices, percentage strengths, milk shares written as fractions, carats and relative heaviness.
5. Check the answer’s direction. The ingredient whose value is nearer the mean always gets the larger share; if your ratio says otherwise, the differences are the wrong way round.
6. For replacement by another mixture, use f = (a − c)/(a − b). It gives the fraction replaced in one step, whether the strengths are percentages or shares.
7. For repeated replacement, use powers. V(1 − x/V)ⁿ for the original liquid left; when the draws differ, multiply their separate fractions instead.
8. In gain questions, find the cost of the blend first. Divide the selling rate by (1 + gain), then alligate against that cost.
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 share the same balancing and ratio work. 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 Mixture and Alligation — Frequently Asked Questions

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