Practice Questions for Average, Mixture & Alligation

1. CRE 5 - Alligation | Average, Mixture & Alligation

A milkman dilutes 36 litres of milk with water. The percentage of milk in the solution is now 80%. How many litres of water does he add?

(a)
6
(b)
9
(c)
12
(d)
18

2. CRE 5 - Alligation | Average, Mixture & Alligation

How much chicory at Rs. 40 a kg should be added to 15 kg of tea at Rs. 100 a kg, so as to make the mixture worth Rs. 65 a kg?

(a)
17 kgs
(b)
21 kgs
(c)
25 kgs
(d)
22 kgs

3. CRE 5 - Alligation | Average, Mixture & Alligation

Aakash invested some part of Rs 5,00,000/- in stock X and the remaining part in stock Y. At the end of the year, Stock X gave a return of 42% and Stock Y gave a return of 37%. Aakash’s total interest earnings from his investment in both the stocks was Rs 2,00,000/-. How much did he invest in stock Y?

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

4. CRE 5 - Alligation | Average, Mixture & Alligation

Solution 1 has 52% milk. Solution 2 has 40% milk. 15 litres from the first Solution is poured into a 3rd container. What quantity (in litres) from Solution 2 should be added to the 3rd container to get a resultant solution of 44% milk?

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

5. CRE 5 - Alligation | Average, Mixture & Alligation

A dealer mixes cereal costing Rs. 8 per kg with cereal costing Rs. 7 per kg and sells the mixture at Rs. 8 per kg and earns a profit of $7 \frac{1}{2} %$ on his sale price. In what proportion does he mix them.

(a)
1 : 2
(b)
2 : 3
(c)
3 : 4
(d)
4 : 5

6. CRE 5 - Alligation | Average, Mixture & Alligation

A 24 kg ingot contains 54% gold. Another 12 kg ingot contains 72% gold. Both these are melted together to form a new 36 kg ingot. What will be the percentage of gold in the new ingot?

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

Answer: 60

Explanation :

Let ‘x’ be the percentage of gold in the new ingot. Therefore, using rule of allegation.

Therefore, $\frac{72 - X}{X - 54} = \frac{24}{12}$

That gives, X = 60%

Alternately,

It would be better to use the weighted average approach here.

i.e. weighted average (X) = $\frac{24 \times 54 % + 12 \times 72 %}{24 + 12}$

⇒ X = $\frac{2 \times 54 + 72}{3}$ = 2 × 18 + 24 = 60%.

Hence, 60.

7. CRE 5 - Alligation | Average, Mixture & Alligation

The average monthly salary of employees, consisting of officers and workers, of an organisation is Rs. 3000. The average salary of an officer is 10,000 while that of a worker is 2000 per month. If there are total 480 employees in the organisation, find the number of officers.

(a)
60
(b)
50
(c)
80
(d)
40

8. CRE 5 - Alligation | Average, Mixture & Alligation

What amounts (in litres) of 90% and 97% pure acid solutions respectively are mixed to obtain 35 L of 95% pure acid solution?

(a)
20 and 15 L
(b)
25 and 10 L
(c)
20 and 15 L
(d)
10 and 25 L

9. CRE 5 - Alligation | Average, Mixture & Alligation

A trader has 100 kg of rice, part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4%. How much quantity is sold at 14% profit and that at 6% loss?

(a)
10 and 90 kg
(b)
40 and 60 kg
(c)
90 and 10 kg
(d)
None of these

10. CRE 5 - Alligation | Average, Mixture & Alligation

In a zoo, there are Rabbits and Pigeons. If heads are counted, there are 400 and if legs are counted, there are 1120. How many pigeons are there?

(a)
180
(b)
200
(c)
220
(d)
240

CRE 5 - Alligation | Average, Mixture & Alligation

Subscribe to our Newsletter