Linear Equations Test 2

Instructions

For the following questions answer them individually

Q 1

Raju has 3 kids, a wife and two parents. They have a habit of sitting around a circular table and taking a selfie everyday. Every day they sit in a new position for the selfie. They are saving all these pictures in an album that has a fixed cost of 1000 Rs and a variable cost of 3 Rs/ picture. How much will the cost be when they are done with all the possible photos for the album?

Q 2

Ravi is as old as Hari was at the time of Ravi’s birth. If Mohan is 15 years older than Hari and the ratio of Mohan’s age to Ravi’s age is an integer, then how many values can this ratio take? (Assume everyone’s ages to be integral (in years))

Q 3

How many different pairs(a,b) of positive integers are there such that $$a\geq b$$ and $$\frac{1}{a}+\frac{1}{b}=\frac{1}{9}$$?

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Q 4

In a survey it was found that 20% of all people like McD, 70% like KFC and 40% like Subway. It is known that everyone likes at least 1 restaurant. What can be the maximum percentage of people who like all three restaurants?

Q 5

A chemical X is produced by mixing substances P and Q in the ratio 7 : 3. Substance P is produced by mixing substances R and S in the ratio 1 : 2. Substance Q is produced by mixing substances S and T in the ratio 4 : 5. If 1620 ml of chemical X is mixed with water such that the substance S in the resultant mixture is 40%, then what quantity of water was chemical X mixed with (in ml)?

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123
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