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Test: Inequalities - Class 10 MCQ


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10 Questions MCQ Test The Complete SAT Course - Test: Inequalities

Test: Inequalities for Class 10 2024 is part of The Complete SAT Course preparation. The Test: Inequalities questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Inequalities MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Inequalities below.
Solutions of Test: Inequalities questions in English are available as part of our The Complete SAT Course for Class 10 & Test: Inequalities solutions in Hindi for The Complete SAT Course course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Test: Inequalities | 10 questions in 15 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study The Complete SAT Course for Class 10 Exam | Download free PDF with solutions
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Test: Inequalities - Question 1

If Ram has x rupees and he pay 40 rupees to shopkeeper then find range of x if amount of money left with Ram is at least 10 rupees is given by inequation ________.

Detailed Solution for Test: Inequalities - Question 1

Amount left is at least 10 rupees i.e. amount left ≥ 10.
x - 40 ≥ 10 => x ≥ 50.

Test: Inequalities - Question 2

ax+ bx + c > 0 is __________

Detailed Solution for Test: Inequalities - Question 2
  • Since it has highest power of x ‘2’ and has inequality sign so, it is called quadratic inequality.
  • It is not numerical inequality as it does not have numbers on both sides of inequality.
  • It does not have two inequality signs so it is not double inequality.
Test: Inequalities - Question 3

x > 5 is __________

Detailed Solution for Test: Inequalities - Question 3

Since a variable ‘x’ is compared with number ‘5’ with inequality sign so it is called literal inequality.

Test: Inequalities - Question 4

If Ram has x rupees and he pay 40 rupees to shopkeeper then find range of x if amount of money left with Ram is at most 10 rupees is given by inequation _________

Detailed Solution for Test: Inequalities - Question 4

Amount left is at most 10 rupees i.e. amount left ≤ 10.
x - 40 ≤ 10 => x ≤ 50.

Test: Inequalities - Question 5

ax+ bx + c ≥ 0 is a strict inequality.

Detailed Solution for Test: Inequalities - Question 5

Since it has equality sign along with inequality sign so it is a slack inequality not strict inequality.

Test: Inequalities - Question 6

ax + b > 0 is ___________

Detailed Solution for Test: Inequalities - Question 6
  • Since it has highest power of x ‘1’ and has inequality sign so, it is called linear inequality.
  • It is not numerical inequality as it does not have numbers on both sides of inequality.
  • It does not have two inequality signs so it is not double inequality.
Test: Inequalities - Question 7

7 > 5 is _____________

Detailed Solution for Test: Inequalities - Question 7

Since here numbers are compared with inequality sign so, it is called numerical inequality.

Test: Inequalities - Question 8

If x + 2y ≤ 3, x > 0 and y > 0, then one of the solution is

Detailed Solution for Test: Inequalities - Question 8

Given 

x + 2y ≤ 3

x > 0 and y > 0

Calculation 

We need to satisfy the equation x + 2y ≤ 3 from the options 

Option: 1  x = -1 and y = 2 

This will be incorrect as we have x and y > 0 

In 1st option x is less than 0, so we can't take this 

Option: 2  x = 2, y = 1

2 + 2 ≤ 3 , which is incorrect.

Option: 3  x = 1, y = 1 

1 + 2 ≤  3 

3 ≤ 3, which is correct.

∴ The correct answer is x = 1, y = 1 

Test: Inequalities - Question 9

Calculate the least whole number, which when subtracted from both the terms of the ratio 5 : 6 gives a ratio less than 17 : 22.

Detailed Solution for Test: Inequalities - Question 9

Given:

Initial ratio = 5 ∶ 6

Final ratio should be less than 17 ∶ 22

Calculation:

Let the least whole number that is needed to be subtracted be a.

According to the question,

(5 - a)/(6 - a) < 17/22

⇒ 5 × 22 - 22a < 17 × 6 - 17a 

⇒ 110 - 22a < 102 - 17a 

⇒ 110 - 102 < - 17a + 22a 

⇒ 8 < 5a 

⇒ 8/5 = 1.6 < a 

∴ The least whole number must be 2.

Test: Inequalities - Question 10

If 2x + 5 > 2 + 3x and 2x - 3 ≤ 4x - 5, then x can take which of the following values?

Detailed Solution for Test: Inequalities - Question 10

2x + 5 > 2 + 3x

5 – 2 > 3x – 2x

3 > x          .......(1)

2x - 3 ≤ 4x - 5

5 – 3 ≤ 4x – 2x

1 ≤ x          .......(2)

From (1) and (2)

x = 1 or 2

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