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12 results found for "bounds" in Class 10.

Question Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 51

किस विकल्प में \( \sqrt{86} \) की संख्या रेखा पर सही दशमलव सीमा दी गई है?

Which option gives the correct decimal bound for \( \sqrt{86} \) on the number line?

Explanation opens after your attempt
Correct Answer

B. \(9.2<\sqrt{86}<9.3\)

Step 1

Concept

\(9.2^2=84.64\) and \(9.3^2=86.49\), so \( \sqrt{86} \) lies between them. Check squares for decimal bounds.

Step 2

Why this answer is correct

The correct answer is B. \(9.2<\sqrt{86}<9.3\). \(9.2^2=84.64\) and \(9.3^2=86.49\), so \( \sqrt{86} \) lies between them. Check squares for decimal bounds.

Step 3

Exam Tip

\(9.2^2=84.64\) और \(9.3^2=86.49\), इसलिए \( \sqrt{86} \) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।

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Question Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 51

संख्या रेखा पर \( \sqrt{131}+2 \) किस दो लगातार पूर्णांकों के बीच है?

Between which two consecutive integers is \( \sqrt{131}+2 \) on the number line?

Explanation opens after your attempt
Correct Answer

B. (13) और (14)(13) and (14)

Step 1

Concept

Since \(11<\sqrt{131}<12\), \(13<\sqrt{131}+2<14\). First find the bounds of the square root.

Step 2

Why this answer is correct

The correct answer is B. (13) और (14) / (13) and (14). Since \(11<\sqrt{131}<12\), \(13<\sqrt{131}+2<14\). First find the bounds of the square root.

Step 3

Exam Tip

\(11<\sqrt{131}<12\), इसलिए \(13<\sqrt{131}+2<14\)। पहले वर्गमूल की सीमा निकालें।

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Question Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 50

किस विकल्प में \( \sqrt{57} \) की संख्या रेखा पर सही दशमलव सीमा दी गई है?

Which option gives the correct decimal bound for \( \sqrt{57} \) on the number line?

Explanation opens after your attempt
Correct Answer

B. \(7.5<\sqrt{57}<7.6\)

Step 1

Concept

\(7.5^2=56.25\) and \(7.6^2=57.76\), so \( \sqrt{57} \) lies between them. Check squares for decimal bounds.

Step 2

Why this answer is correct

The correct answer is B. \(7.5<\sqrt{57}<7.6\). \(7.5^2=56.25\) and \(7.6^2=57.76\), so \( \sqrt{57} \) lies between them. Check squares for decimal bounds.

Step 3

Exam Tip

\(7.5^2=56.25\) और \(7.6^2=57.76\), इसलिए \( \sqrt{57} \) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।

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Question Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 50

संख्या रेखा पर \( \sqrt{89}+1 \) किस दो लगातार पूर्णांकों के बीच है?

Between which two consecutive integers is \( \sqrt{89}+1 \) on the number line?

Explanation opens after your attempt
Correct Answer

B. (10) और (11)(10) and (11)

Step 1

Concept

Since \(9<\sqrt{89}<10\), \(10<\sqrt{89}+1<11\). First find the root bounds.

Step 2

Why this answer is correct

The correct answer is B. (10) और (11) / (10) and (11). Since \(9<\sqrt{89}<10\), \(10<\sqrt{89}+1<11\). First find the root bounds.

Step 3

Exam Tip

\(9<\sqrt{89}<10\), इसलिए \(10<\sqrt{89}+1<11\)। पहले मूल की सीमा निकालें।

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Question Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 50

यदि (m) पूर्णांक है और \(m<\sqrt{145}<m+1\), तो (m) का मान क्या है?

If (m) is an integer and \(m<\sqrt{145}<m+1\), what is the value of (m)?

Explanation opens after your attempt
Correct Answer

B. (12)

Step 1

Concept

Since (144<145<169), \(12<\sqrt{145}<13\). Perfect squares give (m) quickly.

Step 2

Why this answer is correct

The correct answer is B. (12). Since (144<145<169), \(12<\sqrt{145}<13\). Perfect squares give (m) quickly.

Step 3

Exam Tip

क्योंकि (144<145<169), इसलिए \(12<\sqrt{145}<13\)। पूर्ण वर्गों से (m) तुरंत मिलता है।

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Question Hard Mathematics Polynomials Representing real numbers on the number line Class 10 Level 51

यदि \(P=-\sqrt{80}\), तो (P) किस दो लगातार पूर्णांकों के बीच स्थित है?

If \(P=-\sqrt{80}\), between which two consecutive integers is (P) located?

Explanation opens after your attempt
Correct Answer

A. ( -9 ) और ( -8 )( -9 ) and ( -8 )

Step 1

Concept

Since \(8<\sqrt{80}<9\), \(-9<-\sqrt{80}<-8\). Write intervals carefully for negative roots.

Step 2

Why this answer is correct

The correct answer is A. ( -9 ) और ( -8 ) / ( -9 ) and ( -8 ). Since \(8<\sqrt{80}<9\), \(-9<-\sqrt{80}<-8\). Write intervals carefully for negative roots.

Step 3

Exam Tip

क्योंकि \(8<\sqrt{80}<9\), इसलिए \(-9<-\sqrt{80}<-8\)। ऋणात्मक मूलों में अंतराल सावधानी से लिखें।

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Question Hard Mathematics Polynomials Representing real numbers on the number line Class 10 Level 51

किस विकल्प में \( \sqrt{30} \) की सही दशमलव सीमा दी गई है?

Which option gives the correct decimal bound for \( \sqrt{30} \)?

Explanation opens after your attempt
Correct Answer

B. \(5.4<\sqrt{30}<5.5\)

Step 1

Concept

\(5.4^2=29.16\) and \(5.5^2=30.25\), so \( \sqrt{30} \) lies between them. Check squares for decimal bounds.

Step 2

Why this answer is correct

The correct answer is B. \(5.4<\sqrt{30}<5.5\). \(5.4^2=29.16\) and \(5.5^2=30.25\), so \( \sqrt{30} \) lies between them. Check squares for decimal bounds.

Step 3

Exam Tip

\(5.4^2=29.16\) और \(5.5^2=30.25\), इसलिए \( \sqrt{30} \) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।

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Question Hard Mathematics Polynomials Representing real numbers on the number line Class 10 Level 51

संख्या रेखा पर \( \sqrt{40}-2 \) किस दो पूर्णांकों के बीच है?

Between which two integers is \( \sqrt{40}-2 \) on the number line?

Explanation opens after your attempt
Correct Answer

B. (4) और (5)(4) and (5)

Step 1

Concept

Since \(6<\sqrt{40}<7\), \(4<\sqrt{40}-2<5\). First find the root bounds and then subtract.

Step 2

Why this answer is correct

The correct answer is B. (4) और (5) / (4) and (5). Since \(6<\sqrt{40}<7\), \(4<\sqrt{40}-2<5\). First find the root bounds and then subtract.

Step 3

Exam Tip

\(6<\sqrt{40}<7\), इसलिए \(4<\sqrt{40}-2<5\)। पहले मूल की सीमा निकालें फिर घटाएँ।

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Question Hard Mathematics Polynomials Representing real numbers on the number line Class 10 Level 51

संख्या रेखा पर \( \sqrt{52} \) किस दो लगातार पूर्णांकों के बीच स्थित है?

Between which two consecutive integers is \( \sqrt{52} \) located on the number line?

Explanation opens after your attempt
Correct Answer

B. (7) और (8)(7) and (8)

Step 1

Concept

Since (49<52<64), \(7<\sqrt{52}<8\). First identify the nearest perfect squares.

Step 2

Why this answer is correct

The correct answer is B. (7) और (8) / (7) and (8). Since (49<52<64), \(7<\sqrt{52}<8\). First identify the nearest perfect squares.

Step 3

Exam Tip

क्योंकि (49<52<64), इसलिए \(7<\sqrt{52}<8\)। पहले निकटतम पूर्ण वर्गों को पहचानें।

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Question Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 49

किस विकल्प में \( \sqrt{24} \) की संख्या रेखा पर सही दशमलव सीमा दी गई है?

Which option gives the correct decimal bound for \( \sqrt{24} \) on the number line?

Explanation opens after your attempt
Correct Answer

A. \(4.8<\sqrt{24}<4.9\)

Step 1

Concept

\(4.8^2=23.04\) and \(4.9^2=24.01\). Hence \( \sqrt{24} \) lies between them.

Step 2

Why this answer is correct

The correct answer is A. \(4.8<\sqrt{24}<4.9\). \(4.8^2=23.04\) and \(4.9^2=24.01\). Hence \( \sqrt{24} \) lies between them.

Step 3

Exam Tip

\(4.8^2=23.04\) और \(4.9^2=24.01\) है। इसलिए \( \sqrt{24} \) इनके बीच है।

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Question Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 49

संख्या रेखा पर \( \sqrt{37}+1 \) किस दो लगातार पूर्णांकों के बीच है?

Between which two consecutive integers is \( \sqrt{37}+1 \) on the number line?

Explanation opens after your attempt
Correct Answer

A. (7) और (8)(7) and (8)

Step 1

Concept

Since \(6<\sqrt{37}<7\), \(7<\sqrt{37}+1<8\). First find the bounds of the square root.

Step 2

Why this answer is correct

The correct answer is A. (7) और (8) / (7) and (8). Since \(6<\sqrt{37}<7\), \(7<\sqrt{37}+1<8\). First find the bounds of the square root.

Step 3

Exam Tip

\(6<\sqrt{37}<7\) इसलिए \(7<\sqrt{37}+1<8\)। पहले वर्गमूल की सीमा निकालें।

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Question Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 49

यदि (m) ऐसा पूर्णांक है कि \(m<\sqrt{57}<m+1\), तो (m) का मान क्या है?

If (m) is an integer such that \(m<\sqrt{57}<m+1\), what is the value of (m)?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

Since (49<57<64), \(7<\sqrt{57}<8\). Therefore (m=7).

Step 2

Why this answer is correct

The correct answer is A. (7). Since (49<57<64), \(7<\sqrt{57}<8\). Therefore (m=7).

Step 3

Exam Tip

क्योंकि (49<57<64), इसलिए \(7<\sqrt{57}<8\)। अतः (m=7) होगा।

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