Linear Equations Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts
Linear Equations PRACTICE TEST [1 - EXERCISES]
Linear Equations Model Questions Set 1
Question : 16
The maximum marks in a Test are converted from 250 to 50 for the purpose of an Internal Assessment. The highest marks scored were 170 and lowest marks were 70. What is the difference between the maximum and minimum marks scored in the Internal Assessment ?
a) 17
b) 20
c) 15
d) 24
Answer »Answer: (b)
${170 - 70}/{250/50} = {100}/5$ = 20
Question : 17
A number consists of two digits whose sum is 8. If 18 is added to the number, the digits are reversed. The number is equal to
a) 35
b) 53
c) 26
d) 62
Answer »Answer: (a)
Let tens digit and unit digits are x and y, respectively. Sum of digits = 8
x + y = 8 ... (i)
According to question,
(10x + y) + 18 = (10y + x)
⇒ 9y – 9x = 18
⇒ y – x = 2 ... (ii)
On solving equations (i) and (ii), we get
∴ y = 5 and x = 3
∴ Required number = 10x + y
= 10(3) + 5 = 30 + 5 = 35
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