SSC CGL Quant – Ratio, Proportion, Partnership, Averages & Ages – Tier II Level · Marathon
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(640 + 74)/21 = 714/21 = 34.
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SSC CGL Quant – Ratio, Proportion, Partnership, Averages & Ages – Tier II Level · Marathon – 10 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.
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1.
If (a + b)/(a − b) = 9/5, then a : b is:
Correct Answer: D [7 : 2]
Explanation:
Componendo–dividendo: (9 + 5)/(9 − 5) = 14/4 = 7/2.
2.
If x : y = 3 : 4, then (5x + 2y) : (3x + 4y) is:
Correct Answer: C [23 : 25]
Explanation:
Put x = 3, y = 4: 23 : 25.
3.
If a/b = c/d = 3/5, then (2a + 3c)/(2b + 3d) = ?
Correct Answer: B [3/5]
Explanation:
Multiplying the numerators and the denominators by the same weights (2 and 3) keeps the value: 2a + 3c = 3/5 × (2b + 3d), so the answer is 3/5.
4.
The average of four consecutive multiples of 7 is 52.5. The largest of them is:
Correct Answer: A [63]
Explanation:
Middle of 49 and 56 is 52.5 → 42, 49, 56, 63.
5.
The sum of the ages of a mother and her daughter is 50 years. Five years ago the mother was 7 times as old as the daughter. The mother's present age is:
Correct Answer: D [40 years]
Explanation:
M + D = 50 and M − 5 = 7(D − 5) → 8D = 80 → D = 10, M = 40.
6.
A and B share a profit in the ratio 2 : 3. A's money was used for 6 months and B's for 8 months. The ratio of their capitals is:
Correct Answer: D [8 : 9]
Explanation:
Capital ∝ profit ÷ time: 2/6 : 3/8 = 8 : 9.
7.
48 litres of a mixture contain milk and water in the ratio 5 : 3. How much water must be added to make the ratio 1 : 1?
Correct Answer: C [12 litres]
Explanation:
Milk 30 L, water 18 L → water must become 30 L → add 12 L.
8.
The average of 50 numbers is 38. If two numbers, 45 and 55, are removed, the average of the rest is:
Correct Answer: A [37.5]
Explanation:
(1,900 − 100)/48 = 1,800/48 = 37.5.
9.
The incomes of A and B are in the ratio 5 : 4 and their expenditures in the ratio 3 : 2. If each saves ₹ 8,000, A's income is:
Correct Answer: B [₹ 20,000]
Explanation:
5x − 3y = 8,000 and 4x − 2y = 8,000 → x = y = 4,000 → A = ₹ 20,000.
10.
A batsman's average after 20 innings is 32. He scores 74 in the 21st innings. His new average is:
Correct Answer: D [34]
Explanation:
(640 + 74)/21 = 714/21 = 34.
➤ 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
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