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LINEAR INEQUALITIES MATHS - LINEAR INEQUALITIES

Gujarat Board (GSEB) - STD 11 Science - MATHS (GSEB - English Medium). 238 questions in this chapter.

Question types

LINEAR INEQUALITIES question types

238 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

238
Questions
5
Question groups
5
Question types
Sample Questions

LINEAR INEQUALITIES questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
Choose the correct answer. If $x$ is a real number and $|x| < 3,$ then:
  • A
    $\text{x}\geq3$
  • ✓
    $-3<\text{x}<3$
  • C
    $\text{x}\leq-3$
  • D
    $-3\leq\text{x}\leq3$

Answer: B.

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Q 2MCQ1 Mark
If $−5\leq\frac{5 – 3\text{x}}{2}\leq8, $ then $\text{x}\in$
  • ✓
    $\big[\frac{11}{3},5\big]$
  • B
    $\big[-5,5\big]$
  • C
    $\big[\frac{-11}{3},\infty\big]$
  • D
    $\big(-\infty,\infty\big)$

Answer: A.

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Q 3MCQ1 Mark
The solution of $\Big|\frac{2}{(\text{x} – 4)}\Big|>1$ where $\text{x}\neq4$ is:
  • A
    $(2, 6)$
  • ✓
    $(2, 4)\cup(4, 6)$
  • C
    $(2, 4)\cup(4,\infty)$
  • D
    $(-\infty, 4)\cup(4, 6)$

Answer: B.

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Q 4MCQ1 Mark
Write the solution of inequality $\frac{1}{5}\bigg(\frac{3\text{x}}{5}+4\bigg)\geq\frac{1}{3}(\text{x}-6).$
  • ✓
    $\text{x}\leq\frac{105}{8}$
  • B
    $\text{x}\geq\frac{105}{8}$
  • C
    $\text{x}\geq120$
  • D
    $\text{x}\leq120$

Answer: A.

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Q 5MCQ1 Mark
If the roots of the equation $x^2-b x+c=0$ be two consecutive integers, then $b^2-4 c$ equals:
  • ✓
    1
  • B
    2
  • C
    3
  • D
    -2

Answer: A.

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Q 19(Each question 3 marks)3 Marks
A solution is to be kept between 68°F and 77°F. What is the range of temperature in degree Celsius (C) if the Celsius / Fahrenheit (F) convension formula is given by $F = \frac{9}{5}C + 32$
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Q 21(Each question 4 marks)4 Marks
IQ of a person is given by the formula
$\mathrm{IQ}=\frac{\mathrm{MA}}{\mathrm{CA}} \times 100$
where MA is mental age and CA is chronological age. If 80 $\le$ IQ $\le$ 140 for a group of 12 years old children, find the range of their mental age.
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Q 22(Each question 4 marks)4 Marks
How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?
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Q 23(Each question 4 marks)4 Marks
A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If we have 640 litres of the 8% solution, how many litres of the 2% solution will have to be added?
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