Instructions

For the following questions answer them individually

Question 31

A company has 10 software engineers and 6 civil engineers. In how many ways-can a committee of 4 engineers. be formed from them such that the committee must contain exactly 1 civil engineer ?

Question 32

A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability of all three balls being green, if the balls drawn are not replaced will be :

Question 33

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together ?

Question 34

A bag contains 5 red smileys, 6 yellow smileys and 3 green smileys. If two smileys are picked at random what is the probability that both are red or both are green in colour ?

Question 35

There are two regular polygons with number of sides equal to (n - 1) and (n + 2). Their exterior angles differ by $$6^{\circ}$$. The value of n is

Question 36

In a mixture of milk and water, there is only 26% water. After replacing the mixture with 7 litres of pure milk the percentage of milk in the mixture become 76%. The quantity of mixture is :

Question 37

The average temperature of the town in the first four days of a month was $$58^{\circ}$$F. The average for the second, third fourth and fifth days was $$60^{\circ}$$F. If the temperature of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?

Question 39

If $$(x - 6)$$ is the HCF $$x^{2} - 2x - 24$$ and $$x^{2} - kx - 6$$ then what is the value of k ?

Question 40

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 $$m^{3}$$, then the rise in the water level in the tank will be :