SSC CGL Quant – Mixture & Alligation – Level 2 · Exam Level · Tier I Sprint
← Back
Boys : girls = (63 − 58) : (58 − 55) = 5 : 3 → girls = 30 × 3/5 = 18.
₹399 →
SSC CGL Quant – Mixture & Alligation – Level 2 · Exam Level · Tier I Sprint – 15 questions, subject: Quantitative Aptitude. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.
Get daily current affairs & exam alerts – follow us
YouTube
WhatsApp Channel
Telegram Channel
Facebook Page
Instagram
Share with friends & study groups
Link to this page from your website / blog (HTML code)
1.
Tea at ₹ 160 per kg and ₹ 240 per kg is mixed, and the mixture is sold at ₹ 231 per kg at a profit of 10%. In what ratio are the two teas mixed?
Correct Answer: A [3 : 5]
Explanation:
CP = 231/1.1 = 210. Cross: (240 − 210) : (210 − 160) = 30 : 50 = 3 : 5.
2.
Two vessels contain milk and water in the ratios 3 : 1 and 5 : 3. Equal quantities are taken from both and mixed. Find the ratio of milk to water in the new mixture.
Correct Answer: C [11 : 5]
Explanation:
Milk fractions 3/4 = 12/16 and 5/8 = 10/16 → average 11/16 → 11 : 5.
3.
A bus covers 360 km in 6 hours, partly at 45 km/h and partly at 75 km/h. What distance does it cover at 75 km/h?
Correct Answer: D [225 km]
Explanation:
Mean speed 60 → times (75 − 60) : (60 − 45) = 1 : 1 → 3 h each → 75 × 3 = 225 km.
4.
How much water must evaporate from 80 litres of a 15% salt solution to make it a 20% salt solution?
Correct Answer: B [20 litres]
Explanation:
Salt 12 L stays; new total 12/0.2 = 60 L → remove 20 L (= 80 × 5/20).
5.
A trader spends ₹ 24,000 on goods. He sells part of them at 12% profit and the rest at 4% loss, making 6% profit overall. What is the cost of the part sold at a profit?
Correct Answer: B [₹ 15,000]
Explanation:
Cross with −4: profit part : loss part = (6 + 4) : (12 − 6) = 10 : 6 = 5 : 3 → 5/8 of 24,000.
6.
Two-quantity comparison
Quantity I: cost per kg of a mix of 20 kg at ₹ 50 and 30 kg at ₹ 60
Quantity II: cost per kg of a mix of equal quantities at ₹ 48 and ₹ 64
Quantity I: cost per kg of a mix of 20 kg at ₹ 50 and 30 kg at ₹ 60
Quantity II: cost per kg of a mix of equal quantities at ₹ 48 and ₹ 64
Correct Answer: C [Quantity I = Quantity II]
Explanation:
QI = (1,000 + 1,800)/50 = 56; QII = (48 + 64)/2 = 56.
7.
Diagram-basedEqual volumes are poured from the two jugs into an empty bowl. What is milk : water in the bowl?
Correct Answer: A [3 : 2]
Explanation:
Milk fractions 4/5 and 2/5 → average 3/5 → milk : water = 3 : 2.
8.
Diagram-basedThe alligation cross shows two kinds mixed in the ratio 3 : 2. What is the mean price?
Correct Answer: C [₹ 34]
Explanation:
Mean = (3 × 28 + 2 × 43)/5 = 170/5 = 34.
9.
Trick SpotterWhich is the fastest correct way to find the water to be added to 45 L of a 40% syrup to make it 30%?
Correct Answer: D [45 × (40 − 30)/30]
Explanation:
Water is Zero: Q(a − b)/b = 45 × 10/30 = 15 L.
10.
Spot My Mistake“From 50 L of milk, 5 L is taken out and replaced by water, twice. Milk left = 50 − 5 − 5 = 40 L.” What is the correct quantity of milk left?
Correct Answer: D [40.5 litres]
Explanation:
The second 5 L is only 9/10 milk: 50 × (9/10)² = 40.5 L.
11.
Alloy A has copper and zinc in the ratio 2 : 3; alloy B has them in the ratio 3 : 7. In what ratio must A and B be mixed to get copper : zinc = 7 : 13?
Correct Answer: B [1 : 1]
Explanation:
Copper fractions 8/20, 6/20; target 7/20 is exactly midway → equal quantities, 1 : 1.
12.
₹ 18,000 is lent partly at 8% and partly at 12% simple interest. The total yearly interest is ₹ 1,710. How much is lent at 8%?
Correct Answer: A [₹ 11,250]
Explanation:
Average rate 9.5%. Cross: (12 − 9.5) : (9.5 − 8) = 5 : 3 → 5/8 of 18,000 = 11,250.
13.
How much pure alcohol must be added to 30 litres of a 40% alcohol solution to make it 50% alcohol?
Correct Answer: C [6 litres]
Explanation:
Pure = 100: 30 × (50 − 40)/(100 − 50) = 6 L.
14.
Assertion–Reason
A: A car covering equal distances at 40 km/h and 60 km/h has an average speed of 48 km/h, not 50 km/h.
R: In speed mixing, the alligation ratio is of times; equal distances need more time at the lower speed.
A: A car covering equal distances at 40 km/h and 60 km/h has an average speed of 48 km/h, not 50 km/h.
R: In speed mixing, the alligation ratio is of times; equal distances need more time at the lower speed.
Correct Answer: D [Both A and R are true and R explains A]
Explanation:
Times are 3 : 2 (for 120 km: 3 h and 2 h) → (3 × 40 + 2 × 60)/5 = 48.
15.
Reverse questionIn a class, 30 boys have an average of 55 marks and the girls have an average of 63. The class average is 58. How many girls are there?
Correct Answer: A [18]
Explanation:
Boys : girls = (63 − 58) : (58 − 55) = 5 : 3 → girls = 30 × 3/5 = 18.
➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude
📘 TNPSC திறனறிவும் மனக்கணக்கு நுண்ணறிவும் (Aptitude & Mental Ability) – முழுமையான பாடநூல்
Here you get the answer with a one-line explanation. TNPSC திறனறிவு & காரணவியல் சிலபஸ் முழுவதும் · 14 அத்தியாயங்கள் + 2 அலகு மாதிரித் தேர்வுகள் · 357 பயிற்சி வினாக்கள் படிப்படியான தீர்வுடன் · மாதிரித் தாள்கள் (50 வினாக்கள்) · 14 மனவரைபடங்கள் · சூத்திரச் சுருக்கம், கணக்கு அட்டவணைகள்
Get the book – ₹199 More quizzes
› SSC CGL Quant – Mock Test M3 – Tier II Mathematical Abilities – Mock M3 · Tier II · Mathematical Abilities
› SSC CGL Quant – Mock Test M2 – Tier I Quantitative Aptitude – Mock M2 · Tier I · Quantitative Aptitude
› SSC CGL Quant – Mock Test M1 – Tier I Quantitative Aptitude – Mock M1 · Tier I · Quantitative Aptitude
› SSC CGL Quant – Speed Rounds – Tier II Level · Speed Round 5 · Marathon
› SSC CGL Quant – Speed Rounds – Tier II Level · Speed Round 4 · Marathon
› SSC CGL Quant – Speed Rounds – Level 3 · Speed Round 3 · Tier I Challenge
Score: 0
Answered: 0 / 0
