Instructions

For the following questions answer them individually

Question 1

A and B enter into a partnership with Rs.50000 and Rs. 60000 respectively. C joins them after 'x' months, contributing Rs.70000 and B leaves 'x' months before the end of the year. If they share the profit in the ratio of 20 : 18 : 21, then find the value of 'x'.

Question 5

In this question, two statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.**Statements:**

1) All buildings are chalks.

2) All boards are chalks.**Conclusions:**

I. Some buildings are boards.

II. Some chalks are boards.

Question 6

A balloon is hovering at a height of 200 m above. A man in a boat on a lake observes it at an elevation of $$45^\circ$$. 100 seconds later, he sees it at an angle of elevation of $$30^\circ$$. What is the speed of the boat ?

Question 7

Bharath is facing west. His watch is showing time as 2:00 PM. To which direction will hour hand point?

Question 8

If a and b are the roots of the equation $$3x^2 - 5x + 2 = 0$$, then find the value of $$\left(\frac{a}{b}\right) + \left(\frac{b}{a}\right)$$.

Question 9

Two types of rice costing Rs.38 per kg and Rs.42 per kg are mixed in equal quantities and sold at Rs.45 per kg. Find the gain per cent.

Question 10

Capacities of two workers P and Q are in the ratio 3 : 2. What amount of the daily wages of Rs.400 should be given to P?