x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z.
x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z.
3
2
1
More than one possible value of z exists.
The Correct Option is A
Solution and Explanation
xy = 4
xy could be 2 *2 or 4 * 1
221
222 These are the possible triangles.
223
441
22x will be a triangle if x is 1, 2 or 3 (trial and error).
44x is a triangle only if x is 1.
1. 221 is acute. 12 + 22 > 22
2. 222 is equilateral. So acute.
3. 223 is obtuse. 22 + 22 < 32
4. 144 is acute. 12 + 42 > 42
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Questions Asked in JEE Advanced exam
- When the positive number a is rounded to the nearest tenth, the result is the number b. What is the tenths digit of a? (1) When a is rounded to the nearest integer, the result is less than a. (2) When b is rounded to the nearest integer, the result is greater than b.
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New question created to check the answer
Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8 and 8 on division by 9?
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Concepts Used:
Ratios
Students will use their knowledge of fractions and decimals in fifth grade to reason ratio and rate problems in sixth grade. Kids will need to connect their understanding of multiplication and division with real-world problems using ratios. They will use models (diagrams, table, double number lines, etc.) to help them make these connections and solve unit rate problems. Students will also learn about percents and how they match up with fractions and decimals.
Encourage your child to:
- Find examples of ratios in the real world. For example, “The ratio of wings to beaks in the birdhouse at the zoo was 2:1, because for every 2 wings there was 1 beak.”
- Use models to help understand ratio and rate problems
Formulas Used:
Net Income
Net Income = Income - Expenses.
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