Logarithms - CAT Questions

Convert the number 1982 from base 10 to base 12. The result is

1) 1182     2) 1912    3) 1192  4) 1292

CAT 2000

Answer 1192

This is not a logarithms problem. But it appears like it. This problem is discussed in explaining binary arithmetic.

Triangles - Geometry - CAT Questions

If a,b,c are sides of a triangle, and a^2 +b^2+c^2 = ab + bc + ca then the triangle is

1) equilateral     2)isocles   3)  right angled  4) obtuse angled

2000 CAT

Equations and Simultaneous Equations - CAT Questions

Two full tanks , one shaped like cylinder and the other like a cone, contain jet fuel. The cylindrical tank holds 500 litres more than the conical tank. After 200 litres of fuel has been pumped out from each tank the cylindrical tank contains twice the amount of fuel in the conical tank. How many litres of fuel did the cylindrical tank have when it was full?

1) 700    2) 1000   3)  1100    4) 1200

CAT 2000

Answer 1200

Time, Speed and Distance - Quantitative Ability - CAT Questions

A truck travelling at 70 kmph uses 30% more fuel to travel a certain distance that it does when it travels at the speed of 50 kilometers per hour. If the truck can travel 19.5 kilometres on a litre of diesel at 50 kmph, how far can the truck travel on 10 litres of diesel at a speed of 70 kmph?

1) 130   2) 140    3) 150  4) 175


CAT 2000
Answer 150