Instructions

For the following questions answer them individually

Question 61

Person A started a business by investing â‚¹65,000. After a few months. B joined him by investing â‚¹50.000. Three months after the joining of B, C joined the two with an investment of â‚¹55.000. At the end of the year. A got 50% of profit as his share. For how many months did A alone finance the business?

Question 62

The following bar graph shows receipts and expenditure by a business firm over 5 years. Gain = Receipts -Expenditure.

ln which year did the company gain the minimum amount?

Question 63

Three positive numbers are in the ratio 2 : 3 : 4. The sum of their squares is 2349. The average of the first two numbers is:

Question 64

The sides of a triangular field are 360 m. 480 m and 600 m. Its area is equal to the area of a square field . What is the side (in m) of the square field?

Question 65

A person's salary was decreased by 50% and subsequently increased by 50%. By what much percent does his salary increase or decrease?

Question 66

In a $$\triangle$$ ABC, D, E and F are the mid-points of side BC, CA and AB respectively. If BC= 25.6 cm. CA= 18.8 cm and AB = 20.4 cm, what is the perimeter (in cm) of the $$\triangle$$ DEF?

Question 67

Find the value of the following expression:

$$\frac{\left(7.03\right)^{3}-0.0027}{\left(7.03\right)^{2}+2.109+\left(0.3\right)^{2}}$$

Question 68

Anil lent a sum of â‚¹5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per annum for the next 2 years and 10 per annum beyond 4 years. How much interest (in â‚¹) will he earn at the end of 10 years?

Question 69

The breakup of the total number of employees of a company working in different offices (A to E), in degrees, is given in the pie chart.

Total number of employees = 2400.

If 40%, of the number of employees in office A are shifted equally to office B and E, then what will be the sum of the number of employees in B and C?

Question 70

O is the centre of a circle of radius 10 cm. P is a point outside the circle and PQ is a tangent to the circle. What is the length (in cm) of PQ if the length OP is 26 cm?

CAT Averages, Ratios & Proportions

CAT Logarithms, Surds & Indices