SSC CGL Quant – Ratio, Proportion, Partnership, Averages & Ages – Level 3 · Challenge
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Only one term changes, so do not add 8 to both: (2x + 8)/3x = 4/3 → 6x + 24 = 12x → x = 4 → numbers 8 and 12.
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SSC CGL Quant – Ratio, Proportion, Partnership, Averages & Ages – Level 3 · Challenge – 9 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 = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, then A : D is:
Correct Answer: D [16 : 35]
Explanation:
A/D = (2/3)(4/5)(6/7) = 48/105 = 16/35.
2.
A, B and C invest capitals in the ratio 3 : 4 : 6 for 12, 8 and 6 months respectively. Out of a profit of ₹ 52,000, B gets:
Correct Answer: C [₹ 16,000]
Explanation:
36 : 32 : 36 = 9 : 8 : 9 → B = 8/26 × 52,000 = ₹ 16,000.
3.
The average of 11 results is 50. The average of the first six is 49 and that of the last six is 52. The sixth result is:
Correct Answer: B [56]
Explanation:
294 + 312 − 550 = 56 (the 6th result is counted twice).
4.
A father is now 4 times as old as his son. After 16 years he will be twice as old as his son. The father's present age is:
Correct Answer: C [32 years]
Explanation:
4x + 16 = 2(x + 16) → x = 8 → father 32.
5.
The salaries of A and B are in the ratio 3 : 5. If each gets a rise of ₹ 6,000, the ratio becomes 9 : 14. B's original salary is:
Correct Answer: A [₹ 50,000]
Explanation:
(3x + 6,000)/(5x + 6,000) = 9/14 → 3x = 30,000 → x = 10,000 → B = ₹ 50,000.
6.
In a class, 40 boys have an average age of 15.5 years and the girls 14 years. The average age of the whole class is 15 years. How many girls are there?
Correct Answer: D [20]
Explanation:
Balance: 40 × 0.5 = g × 1 → g = 20.
7.
The average of 25 numbers was found to be 48, but one number, 84, was copied as 48. The correct average is:
Correct Answer: B [49.44]
Explanation:
48 + (84 − 48)/25 = 48 + 1.44 = 49.44.
8.
Three numbers are in the ratio 2 : 3 : 5 and the sum of their squares is 608. The largest number is:
Correct Answer: A [20]
Explanation:
(4 + 9 + 25)x² = 608 → x² = 16 → x = 4 → 20.
9.
Two numbers are in the ratio 2 : 3. If 8 is added to the first number only, the ratio becomes 4 : 3. The second number is:
Correct Answer: C [12]
Explanation:
Only one term changes, so do not add 8 to both: (2x + 8)/3x = 4/3 → 6x + 24 = 12x → x = 4 → numbers 8 and 12.
➤ 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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