IPM Indore 2019
For the following questions answer them individually
The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 31), and (31, 0) is
Two small insects, which are x metres apart, take u minutes to pass each other when they are flying towards each other, and v minutes to meet each other when they are flying in the same direction. Then, the ratio of the speed of the slower insect to that of the faster insect is
An alloy P has copper and zinc in the proportion of 5: 2 (by weight), while another alloy Q has the same metals in the proportion of 3: 4 (by weight). If these two alloys are mixed in the proportion of a : b (by weight), a new alloy R is formed, which has equal contents of copper and zinc. Then, the proportion of copper and zinc in the alloy S, formed by mixing the two alloys P and Q in the proportion of b : a (by weight) is
How many different numbers can be formed by using only the digits 1 and 3 which are smaller than 3000000?
There are numbers $$a_{1}, a_{2}, a_{3}, ....,an$$ each of them being +1 or -1. If it is known that $$a_{1}a_{2} + a_{2}a_{3} + a_{3}a_{4} +āÆ a_{nā1}a_{n} + a_{n}a_{1} + = 0$$ then
Analyze the given data for exports and imports of rubber in Rs. crores from 2016 to 2017 and answer the questions based on the analysis.
The percentage decline in exports during the period 2006-2011 is more than the percentage decline in exports during 2012-2017 by approximately
Balance of trade is defined as imports subtracted from exports ( = exports - imports). Which of the following blocks of three years has witnessed the largest average negative balance of trade?
