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How to answer questions asking the number of points with integral co-ordinates within an area bounded by inequalities?
For e.g. between 2x+7y<81, x>0, y>0.

Divya goes to buy fruits and after a lot of bargaining is able to get the price of a dozen apples reduced by Rs. 1 from initial price, thereby enabling her to get 1 apple extra for every rupee saved .What is the initial price of dozen apples. (OA is 15). how?

On a planet, named M, one day has 36 hours, and it follows a 9-hour clock (like we follow a 12-hour clock). In an hour, there are 100 minutes and in a minute, there are 200 seconds. Moreover, the hour hand and the second hand move in a clockwise direction, while the minute hand moves in an anticlockwise direction. On the planet, how many times will the hour hand and the minute hand meet in a day? a) 32 b) 36 c) 40 d) 44

A makes a fixed deposit of 20,000 with a bank for a period of 3 years, if the roi be 13% Simple Interest charged half yearly ,what amount will he get after 42 months? (Answer is 29100) can you please explain?

in NMAT if i gave sectional tests i score 100+ in quant but in mock i barely managed 60-75..what is the problem???

how to prepare aptitude questions and which topics are more important

Johan has x children by his first wife. Mary has (x+1) children by her first husband. They marry and have chil dren of their own. The whole family has 24 children. Assuming that two children of the same parents do not fight, which of the following cannot be the number of fights that can take place between the children. 1. 191 2. 173 3. 185 4. 201

A regular octagon is inscribed in a circle of radius 1 units. The product of the distances from a fixed vertex to the other seven vertices is?

number of non negative integral solutions for a+b+c = 71 where a>b>c

when we apply this formula n+r-1Cr-1