Indian Navy Pilot Linear Equations — practice questions

Explore 3 free Linear Equations questions in Indian Navy Pilot Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Linear Equations questions and exercises with answers

Showing questions 1–3 of 3.

The sum of two numbers is 25 and their difference is 5. Find them.Read the answer and worked solution →A father is 30 years older than his son. After 5 years the father will be three times as old as the son. Find their present ages.Read the answer and worked solution →CLASS10 · Mathematics · Linear Equations — ConsistencyRead the answer and worked solution →

Worked practice questions

The sum of two numbers is 25 and their difference is 5. Find them.

18 and 7
15 and 10
20 and 5
12 and 13

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Correct answer: B. 15 and 10

Let the numbers be x and y. x + y = 25 and x − y = 5. Add: 2x = 30 ⇒ x = 15, y = 10.

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A father is 30 years older than his son. After 5 years the father will be three times as old as the son. Find their present ages.

Father 50, Son 20
Father 35, Son 5
Father 40, Son 10
Father 45, Son 15

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Correct answer: C. Father 40, Son 10

Let son = y, father = y + 30. After 5: y + 35 = 3(y + 5) We have ⇒ y + 35 = 3y + 15 ⇒ 2y. So ⇒ y + 35 = 20. ⇒ y = 10. Father = 40.

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CLASS10 · Mathematics · Linear Equations — Consistency

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Items

Item
Lines intersect at exactly one point
Answer
left
Item
Parallel lines
Answer
right
Item
a₁/a₂ ≠ b₁/b₂
Answer
left
Item
a₁/a₂ = b₁/b₂ ≠ c₁/c₂
Answer
right
Item
Unique x, y satisfy both equations
Answer
left
Item
Graphs never meet
Answer
right

Categories

Left: Consistent (one solution)
Right: Inconsistent (no solution)

Instructions

Classify each scenario: consistent or inconsistent system?

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