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1.  
1.5 : 2.25 in its simplest form is:

Correct Answer: A [2 : 3]

Explanation:

× 4 → 6 : 9 = 2 : 3.

2.  
₹ 3,600 is divided in the ratio 5 : 7. The larger share is:

Correct Answer: D [₹ 2,100]

Explanation:

12 parts = 3,600 → 1 part = 300 → 7 × 300 = ₹ 2,100.

3.  
The duplicate ratio of 5 : 6 is:

Correct Answer: C [25 : 36]

Explanation:

Duplicate = ratio of squares: 25 : 36.

4.  
The fourth proportional to 6, 8 and 15 is:

Correct Answer: B [20]

Explanation:

d = bc/a = 8 × 15/6 = 20.

5.  
The mean proportional between 9 and 16 is:

Correct Answer: A [12]

Explanation:

√(9 × 16) = √144 = 12.

6.  
The average of 14, 18, 22, 26 and 30 is:

Correct Answer: B [22]

Explanation:

Equally spaced → middle term 22.

7.  
True or false? "If A : B = 2 : 3 and B : C = 3 : 4, then A : B : C = 2 : 3 : 4."

Correct Answer: A [True]

Explanation:

B is 3 in both ratios, so they can be joined directly: 2 : 3 : 4.

8.  
30% of A = 20% of B. Then A : B = ?

Correct Answer: D [2 : 3]

Explanation:

Fraction Swap: A : B = 20 : 30 = 2 : 3.

9.  
Fill in the blank: the average of the first 25 natural numbers is ____.

Correct Answer: C [13]

Explanation:

(n + 1)/2 = 26/2 = 13.

10.  
A and B invest ₹ 12,000 and ₹ 18,000 for the same period. Out of a profit of ₹ 7,500, A gets:

Correct Answer: A [₹ 3,000]

Explanation:

Same period → ratio of capitals 2 : 3 → A = 2/5 × 7,500 = ₹ 3,000.

11.  
A father aged 36 is 4 times as old as his son. The son's age after 5 years will be:

Correct Answer: B [14]

Explanation:

Son = 36 ÷ 4 = 9 now → 14 after 5 years.

12.  
Odd one out – which ratio is NOT equal to 3 : 4?

Correct Answer: D [12 : 15]

Explanation:

12 : 15 = 4 : 5; the others equal 3 : 4.

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