GATE 2022 ES – Question 7
General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice
Find the simultaneous solution of 2x−1>7 and 2x−9<1.
- x≤−4
- −4<x≤4
- 4<x<5
- x≥5
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: (C) 4<x<5
Explanation
The first inequality gives 2x>8,so x>4. The second gives 2x<10,so x<5. Their intersection is **4<x<5, C**.
More Quantitative Aptitude: Algebra, Geometry and Mensuration questions
- GATE 2021 ES Q2 – Positive integers p, q satisfy p/q+q/p=3. Find p2/q2+q2/p2.
- GATE 2021 ES Q8 – A square sheet of side 1 unit is cut along its main diagonal. One resulting triangle is…
- GATE 2021 ES Q10 – Corners are cut from an equilateral triangle to produce the shown regular convex hexagon.…
- GATE 2025 CS (CS1) Q7 – In the diagram, the lines QR and ST are parallel to each other. The shortest distance…
- GATE 2025 CS (CS2) Q3 – If Pex = Qe-x for all real values of x, which one of the following statements is true?
- GATE 2025 CS (CS2) Q9 – In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L…
All Quantitative Aptitude: Algebra, Geometry and Mensuration questions →