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Past Paper of Shifa

MCQs from Shifa Entrance Test 2014 Given below are the questions/points from the Entrance Test of Shifa held in 2014. 1. Valves of heart which close due to pressure changes in chambers  2. Ultra structure of leaf  3. Which parts of leaf contain chloroplasts  4. Test for identification of aldehydes and ketones  5. Reactivity of alcohols  6. Projectile motion from physics had numericals that were simple  7. Energy changes and forces acting on a projectile during different points of motion.  8. Kinetic energy of a body at ground when falling from a given height  9. Distance between nodes and anti-nodes in a stationary wave  10. Questions were there from thermal physics regarding energy changes and laws of thermodynamics  11. Chemistry had basic questions which tested basic concepts like ionization energy trends, reactivity trends etc  12. Antonym of palatable? Ans: Tasteless 13. Antonym of circumlocution? Ans: Directness 14. Synonym ...

Inverse of a Function

Inverse of a Function In this Post I will discuss the method for finding the inverse of a given function from the 4 options as given in the Entrance tests of Engineering Universities. The very first step before finding the inverse is to make a check whether the function is One-to-One or not.  By One-to-One function we mean that function for example f(x) should not have the same value at two different values of x. In other words for each element of the Domain there should be a distinct element in the range. Check for One-to-One: A function which passes the horizontal line test is a One-to-One function. This means if a horizontal line is drawn it should not cross the function curve at more than one point. Another way to check if a function is One-to-One or not is shown below: If , f(a) = f(b) , implies that a=b , the given function is One-to-One. Consider the following examples: f(x) = 5x + 10 f(a) = 5a + 10 f(b) = 5b + 10 Taking f(a) = f(b) gives, 5a...