Online Quiz

← Back
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.  

Directions (Q 39–42): Vessel P has 60 L of milk and water in the ratio 3 : 1. Vessel Q has 40 L in the ratio 1 : 1. Vessel R has 50 L in the ratio 2 : 3. An empty vessel S is large enough for any amount.
vessels

All of P and Q are poured into S. The ratio of milk to water in S is:

Correct Answer: D [13 : 7]

Explanation:

Milk 45 + 20 = 65, water 15 + 20 = 35 → 13 : 7.

2.  
(Use the directions above – Mixtures & Alligation, Q 39–42)
Then 20 L of the mixture in S is taken out and replaced with water. How much milk is now in S?

Correct Answer: B [52 L]

Explanation:

S has 100 L; removing 20 L (1/5) leaves 4/5 × 65 = 52 L of milk.

3.  
(Use the directions above – Mixtures & Alligation, Q 39–42)
Next, half of vessel R is poured into S. What percentage of the mixture in S is now milk?

Correct Answer: C [49.6%]

Explanation:

Milk 52 + 10 = 62; total 100 + 25 = 125 → 62/125 = 49.6%.

4.  
(Use the directions above – Mixtures & Alligation, Q 39–42)
Instead, how many litres of pure milk must be added to the full vessel R (50 L) to make it 60% milk?

Correct Answer: A [25 L]

Explanation:

Water 30 L must be 40% of the new mixture → 75 L → add 25 L of milk.

5.  
Quantity I: Litres of milk left when 10 L of a 100 L can of pure milk is replaced with water three times.
Quantity II: 73

Correct Answer: B [Quantity I < Quantity II]

Explanation:

I: 100 × 0.9³ = 72.9 L. 72.9 < 73.

6.  
What is the ratio of milk to water in the final mixture?
I. 20 L of a 4 : 1 milk–water mixture is mixed with 30 L of a 3 : 2 milk–water mixture.
II. The final mixture is 50 L.

Correct Answer: A [Statement I alone is sufficient]

Explanation:

I: milk 16 + 18 = 34, water 4 + 12 = 16 → 17 : 8.

7.  
80 L of milk and water are in the ratio 3 : 1. 20 L of the mixture is replaced with water; then 20 L of the new mixture is replaced with milk. The final ratio of milk to water is:

Correct Answer: A [43 : 21]

Explanation:

Milk 60 → 45 → 45 × 3/4 + 20 = 53.75; water 20 → 15 + 20 = 35 → 35 × 3/4 = 26.25 → 43 : 21.

8.  
A vessel is full of pure milk. Each time, one-fifth of the contents is taken out and replaced with water. After how many such operations does the milk first fall below 40% of the mixture?

Correct Answer: E [5]

Explanation:

(4/5)ⁿ: 0.8, 0.64, 0.512, 0.4096, 0.32768 → first below 0.4 at n = 5.

9.  
Three grades of coffee at ₹ 110, ₹ 130 and ₹ x per kg are mixed in the ratio 2 : 1 : 2. The mixture is worth ₹ 140 per kg. Find x.

Correct Answer: B [₹ 175]

Explanation:

220 + 130 + 2x = 5 × 140 = 700 → x = 175.

10.  
A milkman buys milk at ₹ 50 per litre and sells the mixture of milk and water at ₹ 48 per litre, making a profit of 20%. How much water is there in 25 L of his mixture?

Correct Answer: C [5 L]

Explanation:

CP of mixture = 48 ÷ 1.2 = ₹ 40 → water : milk = (50 − 40) : 40 = 1 : 4 → water 1/5 of 25 = 5 L.

11.  
Quantity I: Litres of water to be added to 60 L of a 5 : 1 milk–water mixture to make the ratio 5 : 3.
Quantity II: Litres of pure milk to be replaced with water, once, in a 60 L can of pure milk so that 40 L of milk remains.

Correct Answer: E [Quantity I = Quantity II or relation cannot be established]

Explanation:

I: milk 50 = 5 parts → water must be 30; it is 10 → 20 L.

12.  
Can X has 25 L of milk and water in the ratio 4 : 1, can Y has 35 L in the ratio 3 : 2 and can Z has 40 L in the ratio 9 : 11. All three are emptied into one tank. What percentage of the tank is milk?

Correct Answer: D [59%]

Explanation:

Milk = 20 + 21 + 18 = 59 L in 100 L → 59%.

📘 IBPS Clerk 2026 – B2 Quantitative Aptitude (PDF book)
Here you get the answer with a one-line explanation. 842 questions, each with a full step-by-step explanation · shortcuts, tables, trap alerts · Prelims + Mains sectional mocks. All 5 books together: ₹599.
Get the book – ₹149 →
Score: 0 Answered: 0 / 0