Instructions

For the following questions answer them individually

Question 51

A shopkeeper bought toffees at a rate of 10 for â‚¹15 and sold them at a rate of 16 for â‚¹40. Find his profit percentage. (correct to two decimal places?

Question 52

From the masthead of a ship of 180 m height to boat, a depression angle of 60 degrees formed. Find out the distance of ship to boat( in m).

Question 53

Find the value of the following expression:

$$\frac{4\frac{1}{3}+3\frac{1}{3}\times1\frac{4}{5}\div3\frac{3}{4}\times\left(6\frac{1}{4}\right) of 1\frac{1}{15}}{\frac{2}{3}\div\frac{5}{6}\times\frac{2}{3}}$$

Question 54

Find the smallest number which should be added to the smallest number divisible by 6, 9 and 15 to make it a perfect square.

Question 55

The radii of two concentric circles with centre O are 26 cm and 16 cm. Chord AB of the larger circle is tangent to the smaller circle ar C and AD is a diameter. What is the length of D?

Question 56

Find the sum of the greatest and the smallest number which may replace k in the number 3281k6 to make the number divisible by 6

Question 57

A household appliances company offers two successive discounts of 20% and 35% on the sale of a food processor.

What is the final sale price (in Rs, to the nearest rupee) of a food processor costing Rs 4580?

Question 59

In triangle ABC, the bisector of angle BAC meets BC at point D in such a way that AB = 10 cm. AC = 15 cm and BD = 6 cm. Find the length of BC (in cm).

Question 60

A and B working alone can complete a work in 8 days and 12 days. respectively. They started working together, but A left 2 days before completion of the work. In how many days was the work completed?

CAT Averages, Ratios & Proportions

CAT Logarithms, Surds & Indices