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Q:

In a factory there are three types of Machines M1 , M2 and M3 which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2% , 4% and 5% defective products, respectively. What is the percentage of non-defective products?

A) 89%	B) 97.1%
C) 96.1%	D) 86.1%

Answer & Explanation Answer: C) 96.1%

Explanation:

Non- defective products

$\frac{25 x 0.98 + 35 x 0.96 + 40 x 0.95}{100} x 100 = 96.1$

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Q:

A man lost half of its initial amount in the gambling after playing 3 rounds. The rule of gambling is that if he wins he will receive Rs. 100, but he has to give 50% of the total amount after each round.Luckily he won all the three rounds. The initial amount with which he had started the gambling was :

A) 500/3	B) 700/3
C) 300	D) 600

Answer & Explanation Answer: B) 700/3

Explanation:

Let the initial amount be x (with gambler), then

$[[(x + 100) \frac{1}{2} + 100] \frac{1}{2} + 100] \frac{1}{2} = \frac{x}{2}$

=> x = 700/3

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Q:

The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?

A) 10% more	B) 5% more
C) 12.5% more	D) 17.5% more

Answer & Explanation Answer: C) 12.5% more

Explanation:

Quantity X Rate = Price

1 x 1 = 1

0.7 x 1.25 = 0.875

Decrease in price = (1-0.875) x 100 = 12.5%

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Q:

600 students took the test on physics and chemistry. 35% students failed in physics and 45% students failed in chemistry and 40% of those who passed in chemistry also passed in physics, then how many students failed in both:

A) 162	B) 138
C) 60	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

Physics Chemistry

Failed 35% 45%

Passed 65% 55%

Passed in both = 22% of total student

percentage of students who are passed in any of the physics or chemistry or both =(65+55) - 22 = 98%

So, the percentage of students who are failed in both = 2%

Therefore, total failed (in both subjects) students = 12

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Q:

The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?

A) 25	B) 21
C) 12	D) 24

Answer & Explanation Answer: B) 21

Explanation:

Therefore x = 21%

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Filed Under: Alligation or Mixture

Q:

The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?

A) 14 and 16	B) 13 and 27
C) 17 and 27	D) None of these

Answer & Explanation Answer: B) 13 and 27

Explanation:

Total no.of boys : no. of girls = 13:27

27 : 13

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Q:

The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5?

A) 7:3	B) 5:3
C) 8:5	D) 2:7

Answer & Explanation Answer: B) 5:3

Explanation:

$W 1 : A 1 W 2 : A 2 . . . . . W N : A N$

2 : 3 4 : 5 5 : 7

$\frac{W 1}{W 1 + A 1} = \frac{2}{5} \frac{W 2}{W 2 + A 2} = \frac{4}{9} \frac{W N}{W N + A N} = \frac{5}{12}$

= 72/180

= 80/180

= 75/180

=> 5 : 3

Therefore, the ratio is 5: 3

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Q:

In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is

A) 1 litre	B) 3 litres
C) 4 litres	D) 5 litres

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