SSC CGL Quant – Ratio, Proportion, Partnership, Averages & Ages – Level 1 · Warm-up · Tier I Level

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SSC CGL Quant – Ratio, Proportion, Partnership, Averages & Ages – Level 1 · Warm-up · Tier I Level – 11 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.  
₹ 1,560 is divided between two friends in the ratio 5 : 7. The larger share is:

Correct Answer: C [₹ 910]

Explanation:

One part = 1,560 ÷ 12 = 130; larger = 7 × 130 = ₹ 910.

2.  
The ratio 1/2 : 2/3 : 3/4 in its simplest form is:

Correct Answer: A [6 : 8 : 9]

Explanation:

Multiply by the LCM 12: 6 : 8 : 9.

3.  
If A : B = 3 : 4 and B : C = 6 : 7, then A : B : C is:

Correct Answer: D [9 : 12 : 14]

Explanation:

Make B equal (LCM 12): 9 : 12 and 12 : 14.

4.  
The third proportional to 9 and 12 is:

Correct Answer: B [16]

Explanation:

c = b²/a = 144/9 = 16.

5.  
The duplicate ratio of 5 : 6 is:

Correct Answer: D [25 : 36]

Explanation:

Duplicate = squares: 25 : 36.

6.  
If 8 kg of rice costs ₹ 360, what do 13 kg cost?

Correct Answer: C [₹ 585]

Explanation:

Direct: 360 ÷ 8 = 45 per kg; 45 × 13 = ₹ 585.

7.  
12 workers finish a job in 20 days. How many days will 16 workers take?

Correct Answer: B [15]

Explanation:

Inverse: 12 × 20 = 240 worker-days; 240 ÷ 16 = 15.

8.  
The average of the first 12 even numbers is:

Correct Answer: D [13]

Explanation:

First n even numbers average n + 1 = 13.

9.  
The average of five numbers is 24. Four of them are 18, 22, 27 and 30. The fifth is:

Correct Answer: A [23]

Explanation:

Sum 120 − 97 = 23.

10.  
A and B invest ₹ 30,000 and ₹ 45,000 for one year. Out of a profit of ₹ 15,000, A gets:

Correct Answer: B [₹ 6,000]

Explanation:

Ratio 2 : 3 → A = 2/5 × 15,000 = ₹ 6,000.

11.  
Statement-basedWhich is/are correct?
I. The difference between the ages of two people never changes.
II. The sum of the ages of two people increases by 1 every year.

Correct Answer: C [Only I]

Explanation:

Each person adds 1 year, so the sum rises by 2 a year; the difference stays.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude

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