For the following questions answer them individually
The area of a $$\triangle$$ABC is one unit. DE is a straight line parallel to BC, joining the points D and E on AB and AC respectively such that AD : DB = 1 : 6. The ratio of the areas of the triangles ADE and ABC is:
The value of $$16 \div 4 of 4 \times [3 \div 4 of \left\{4 \times 3 \div (3 + 3)\right\}] \div (2 \div 4 of 8)$$ is:
In $$\triangle$$ABC, D is a point on AC such that AB = BD = DC. If $$\angle$$BAD = $$70^\circ$$, then the measure of $$\angle$$B is:
A person borrowed a certain sum at 10% p.a. for three years, interest being compounded annually. At the end of two years, he repaid a sum of ₹6,634 and at the end of the third year, he cleared off the debt by paying ₹13,200. What was the sum borrowed by him?
Some fruits are bought at a rate of 11 for ₹100 and an equal number at a rate of 9 for ₹100. If all the fruits are sold at a rate of 10 for ₹100, then what is the gain or loss percent in the entire transaction?
In the following passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Comprehension:
Canada is three times the size of India (1)______ its population is only about 26 million. The average (2)______ of population is less than three persons per square kilometer (3)______ Canada. The distribution of population is highly (4)______. Nearly 80 per cent of the people (5)______ in a narrow belt less than 300 kilometer wide along the southern border. The rest of the country has a very sparse population due to excessive cold.
CAT Averages, Ratios & Proportions
CAT Logarithms, Surds & Indices
