Instructions

For the following questions answer them individually

Question 51

A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

Question 52

4 kg of a metal contains 1/5 copper and rest m. Zinc. Another 5 kg of metal contain 1/6 copper and rest in Zinc. The ratio of Copper and Zinc into the mixture of these two metals.

Question 53

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is.

Question 54

How many 3-letter words with or without meaning, can be formed out of the letters of the word 'LOGARITHMS' if repetition of letters is not allowed ?

Question 55

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such at least one boy should be there ?

Question 56

In a box there are 10 apples and $$2/5^{th}$$ of the apples are rotten. If three apples are taken out from the box what will be the probability that at least one apple is rotten.

Question 57

There are 3 green, 4 orange and 5 white color bulbs in a bag. If a bulb is picked at random, what is the probability of having either a green or a white bulb ?

Question 58

The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 11 percent what was the annual interest rate last year ?

Question 59

3 partners A B and C start a business. 4 tunes of A's capital is equal to 6 times of B's Capital and B's Capital is 8 times of C's capital if profit of B is Rs. 6300. Then find the average profit A and C.