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square-root-interval MCQ Questions for Class 10

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3 questions tagged with square-root-interval.

Question 1/3 Medium Mathematics Polynomials Representing real numbers on the number line Class 10 Level 50

संख्या रेखा पर \(\sqrt{27}\) किस दो पूर्णांकों के बीच स्थित होगा?

Between which two integers will \(\sqrt{27}\) lie on the number line?

Explanation opens after your attempt
Correct Answer

C. (5) और (6)(5) and (6)

Step 1

Concept

Since \(5^2=25\) and \(6^2=36\), \(\sqrt{27}\) lies between (5) and (6). In exams, remember nearby perfect squares.

Step 2

Why this answer is correct

The correct answer is C. (5) और (6) / (5) and (6). Since \(5^2=25\) and \(6^2=36\), \(\sqrt{27}\) lies between (5) and (6). In exams, remember nearby perfect squares.

Step 3

Exam Tip

क्योंकि \(5^2=25\) और \(6^2=36\), इसलिए \(\sqrt{27}\) (5) और (6) के बीच है। परीक्षा में निकट पूर्ण वर्गों को याद रखें।

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Question 2/3 Medium Mathematics Real Numbers Irrational numbers Class 10 Level 15

यदि \(\sqrt{t}\) (7) और (8) के बीच है, तो (t) का कौन-सा मान संभव है?

If \(\sqrt{t}\) lies between (7) and (8), which value of (t) is possible?

Explanation opens after your attempt
Correct Answer

B. (57)

Step 1

Concept

\(7<\sqrt{t}<8\) means (49<t<64).

Step 2

Why this answer is correct

(57) lies in this interval, so \(\sqrt{57}\) lies between (7) and (8).

Step 3

Exam Tip

Square the boundary numbers to understand square-root intervals. चरण 1: \(7<\sqrt{t}<8\) का अर्थ है (49<t<64)। चरण 2: (57) इस अंतराल में है, इसलिए \(\sqrt{57}\) (7) और (8) के बीच होगा। चरण 3: वर्गमूल के अंतराल को समझने के लिए सीमा संख्याओं का वर्ग करें।

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Question 3/3 Medium Mathematics Real Numbers Irrational numbers Class 10 Level 14

यदि \(\sqrt{t}\) (6) और (7) के बीच है, तो (t) का कौन-सा मान संभव है?

If \(\sqrt{t}\) lies between (6) and (7), which value of (t) is possible?

Explanation opens after your attempt
Correct Answer

B. (42)

Step 1

Concept

\(6<\sqrt{t}<7\) means (36<t<49).

Step 2

Why this answer is correct

(42) lies in this interval, so \(\sqrt{42}\) lies between (6) and (7).

Step 3

Exam Tip

Square the boundary numbers to understand square-root intervals. चरण 1: \(6<\sqrt{t}<7\) का अर्थ है (36<t<49)। चरण 2: (42) इस अंतराल में है, इसलिए \(\sqrt{42}\) (6) और (7) के बीच होगा। चरण 3: वर्गमूल के अंतराल को समझने के लिए सीमा संख्याओं का वर्ग करें।

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