Concept-wise Practice

polynomials MCQ Questions for Class 10

polynomials se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

778 questions tagged with polynomials.

संख्या रेखा पर (-2.75) और (1.25) के बीच की दूरी कितनी है?

What is the distance between (-2.75) and (1.25) on the number line?

Explanation opens after your attempt
Correct Answer

B. (4) इकाई(4) units

Step 1

Concept

The distance is (1.25-\left\(-2.75\right\)=4) units. In exams, do not miss signs while subtracting negative decimals.

Step 2

Why this answer is correct

The correct answer is B. (4) इकाई / (4) units. The distance is (1.25-\left\(-2.75\right\)=4) units. In exams, do not miss signs while subtracting negative decimals.

Step 3

Exam Tip

दूरी (1.25-\left\(-2.75\right\)=4) इकाई है। परीक्षा में ऋणात्मक दशमलव घटाते समय चिह्न न भूलें।

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संख्या रेखा पर \(A=-\frac{3}{2}\) और \(B=\frac{5}{2}\) के बीच दूरी कितनी है?

What is the distance between \(A=-\frac{3}{2}\) and \(B=\frac{5}{2}\) on the number line?

Explanation opens after your attempt
Correct Answer

C. (4) इकाई(4) units

Step 1

Concept

The distance is (\frac{5}{2}-\left\(-\frac{3}{2}\right\)=4) units. In exams, always take distance as positive.

Step 2

Why this answer is correct

The correct answer is C. (4) इकाई / (4) units. The distance is (\frac{5}{2}-\left\(-\frac{3}{2}\right\)=4) units. In exams, always take distance as positive.

Step 3

Exam Tip

दूरी (\frac{5}{2}-\left\(-\frac{3}{2}\right\)=4) इकाई है। परीक्षा में दूरी हमेशा धनात्मक लें।

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संख्या रेखा पर \(1+\frac{3}{8}\) को पाने के लिए (1) और (2) के बीच कौन सा निशान होगा?

To get \(1+\frac{3}{8}\) on the number line, which mark between (1) and (2) is needed?

Explanation opens after your attempt
Correct Answer

A. (1) के बाद तीसरा निशान जब (8) बराबर भाग होंThird mark after (1) when there are (8) equal parts

Step 1

Concept

\(1+\frac{3}{8}\) is the third of (8) equal parts after (1). In exams, count the fractional parts after the integer.

Step 2

Why this answer is correct

The correct answer is A. (1) के बाद तीसरा निशान जब (8) बराबर भाग हों / Third mark after (1) when there are (8) equal parts. \(1+\frac{3}{8}\) is the third of (8) equal parts after (1). In exams, count the fractional parts after the integer.

Step 3

Exam Tip

\(1+\frac{3}{8}\), (1) के बाद (8) बराबर भागों में तीसरे भाग पर है। परीक्षा में पूर्णांक के बाद भिन्न भाग गिनें।

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संख्या रेखा पर \(\frac{5}{6}\) तक पहुंचने के लिए (0) और (1) के बीच भाग को कितने बराबर भागों में बांटना होगा?

To reach \(\frac{5}{6}\) on the number line, into how many equal parts should the segment between (0) and (1) be divided?

Explanation opens after your attempt
Correct Answer

B. (6) भाग(6) parts

Step 1

Concept

The denominator of \(\frac{5}{6}\) is (6), so the segment from (0) to (1) has (6) equal parts. In exams, the denominator tells the number of parts.

Step 2

Why this answer is correct

The correct answer is B. (6) भाग / (6) parts. The denominator of \(\frac{5}{6}\) is (6), so the segment from (0) to (1) has (6) equal parts. In exams, the denominator tells the number of parts.

Step 3

Exam Tip

\(\frac{5}{6}\) में हर (6) है, इसलिए (0) से (1) तक (6) बराबर भाग होंगे। परीक्षा में हर भागों की संख्या बताता है।

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संख्या रेखा पर \(-\frac{17}{5}\) किस मिश्र संख्या के बराबर स्थान पर होगा?

At which mixed number position will \(-\frac{17}{5}\) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. \(-3-\frac{2}{5}\)

Step 1

Concept

\(-\frac{17}{5}=-3-\frac{2}{5}\), so it lies between (-4) and (-3). In exams, keep the sign of a negative mixed number correct.

Step 2

Why this answer is correct

The correct answer is B. \(-3-\frac{2}{5}\). \(-\frac{17}{5}=-3-\frac{2}{5}\), so it lies between (-4) and (-3). In exams, keep the sign of a negative mixed number correct.

Step 3

Exam Tip

\(-\frac{17}{5}=-3-\frac{2}{5}\), इसलिए यह (-4) और (-3) के बीच है। परीक्षा में ऋणात्मक मिश्र संख्या का चिह्न ठीक रखें।

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संख्या रेखा पर \(\frac{13}{4}\) को किस मिश्र संख्या के रूप में दिखाया जाएगा?

How will \(\frac{13}{4}\) be shown as a mixed number on the number line?

Explanation opens after your attempt
Correct Answer

A. \(3+\frac{1}{4}\)

Step 1

Concept

\(\frac{13}{4}=3+\frac{1}{4}\), so it lies one-fourth after (3). In exams, convert an improper fraction into a mixed number.

Step 2

Why this answer is correct

The correct answer is A. \(3+\frac{1}{4}\). \(\frac{13}{4}=3+\frac{1}{4}\), so it lies one-fourth after (3). In exams, convert an improper fraction into a mixed number.

Step 3

Exam Tip

\(\frac{13}{4}=3+\frac{1}{4}\), इसलिए यह (3) के बाद एक चौथाई पर होगा। परीक्षा में विषम भिन्न को मिश्र संख्या में बदलें।

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संख्या रेखा पर \(5-\sqrt{2}\) किस दो पूर्णांकों के बीच आएगा?

Between which two integers will \(5-\sqrt{2}\) come on the number line?

Explanation opens after your attempt
Correct Answer

B. (3) और (4)(3) and (4)

Step 1

Concept

\(\sqrt{2}\) lies between (1) and (2), so \(5-\sqrt{2}\) lies between (3) and (4). In exams, change limits carefully while subtracting.

Step 2

Why this answer is correct

The correct answer is B. (3) और (4) / (3) and (4). \(\sqrt{2}\) lies between (1) and (2), so \(5-\sqrt{2}\) lies between (3) and (4). In exams, change limits carefully while subtracting.

Step 3

Exam Tip

\(\sqrt{2}\) (1) और (2) के बीच है, इसलिए \(5-\sqrt{2}\) (3) और (4) के बीच होगा। परीक्षा में घटाने पर सीमा सावधानी से बदलें।

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संख्या रेखा पर \(2+\sqrt{3}\) किस दो पूर्णांकों के बीच होगा?

Between which two integers will \(2+\sqrt{3}\) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (3) और (4)(3) and (4)

Step 1

Concept

\(\sqrt{3}\) lies between (1) and (2), so \(2+\sqrt{3}\) lies between (3) and (4). In exams, adding a number shifts the whole interval forward.

Step 2

Why this answer is correct

The correct answer is B. (3) और (4) / (3) and (4). \(\sqrt{3}\) lies between (1) and (2), so \(2+\sqrt{3}\) lies between (3) and (4). In exams, adding a number shifts the whole interval forward.

Step 3

Exam Tip

\(\sqrt{3}\) (1) और (2) के बीच है, इसलिए \(2+\sqrt{3}\) (3) और (4) के बीच होगा। परीक्षा में जोड़ने पर पूरा अंतराल आगे खिसकता है।

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संख्या रेखा पर \(-\sqrt{18}\) किस दो पूर्णांकों के बीच स्थित होगा?

Between which two integers will \(-\sqrt{18}\) lie on the number line?

Explanation opens after your attempt
Correct Answer

C. (-5) और (-4)(-5) and (-4)

Step 1

Concept

Since \(\sqrt{18}\) lies between (4) and (5), \(-\sqrt{18}\) lies between (-5) and (-4). In exams, the direction reverses for negative square roots.

Step 2

Why this answer is correct

The correct answer is C. (-5) और (-4) / (-5) and (-4). Since \(\sqrt{18}\) lies between (4) and (5), \(-\sqrt{18}\) lies between (-5) and (-4). In exams, the direction reverses for negative square roots.

Step 3

Exam Tip

क्योंकि \(\sqrt{18}\) (4) और (5) के बीच है, इसलिए \(-\sqrt{18}\) (-5) और (-4) के बीच होगा। परीक्षा में ऋणात्मक वर्गमूल में दिशा उलटी हो जाती है।

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संख्या रेखा पर \(\sqrt{10}\) को किस दो पूर्णांकों के बीच सही रूप से दर्शाया जाएगा?

Between which two integers will \(\sqrt{10}\) be correctly represented on the number line?

Explanation opens after your attempt
Correct Answer

B. (3) और (4)(3) and (4)

Step 1

Concept

Since \(3^2=9\) and \(4^2=16\), \(\sqrt{10}\) lies between (3) and (4). In exams, bracket square roots between perfect squares.

Step 2

Why this answer is correct

The correct answer is B. (3) और (4) / (3) and (4). Since \(3^2=9\) and \(4^2=16\), \(\sqrt{10}\) lies between (3) and (4). In exams, bracket square roots between perfect squares.

Step 3

Exam Tip

क्योंकि \(3^2=9\) और \(4^2=16\), इसलिए \(\sqrt{10}\) (3) और (4) के बीच है। परीक्षा में वर्गमूल को पूर्ण वर्गों से घेरें।

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संख्या रेखा पर (u(x)=6x-18) का शून्यक किस बिंदु पर होगा?

At which point will the zero of (u(x)=6x-18) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

From (6x-18=0), we get (x=3). In exams, find the zero first and then place it correctly on the number line.

Step 2

Why this answer is correct

The correct answer is B. (3). From (6x-18=0), we get (x=3). In exams, find the zero first and then place it correctly on the number line.

Step 3

Exam Tip

(6x-18=0) से (x=3) मिलता है। परीक्षा में शून्यक निकालकर उसे संख्या रेखा पर सही बिंदु पर रखें।

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संख्या रेखा पर \(\sqrt{15}\) किस दो पूर्णांकों के बीच स्थित होगा?

Between which two integers will \(\sqrt{15}\) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (3) और (4)(3) and (4)

Step 1

Concept

Since \(3^2=9\) and \(4^2=16\), \(\sqrt{15}\) lies between (3) and (4). In exams, use nearby perfect squares to locate square roots.

Step 2

Why this answer is correct

The correct answer is B. (3) और (4) / (3) and (4). Since \(3^2=9\) and \(4^2=16\), \(\sqrt{15}\) lies between (3) and (4). In exams, use nearby perfect squares to locate square roots.

Step 3

Exam Tip

क्योंकि \(3^2=9\) और \(4^2=16\), इसलिए \(\sqrt{15}\) (3) और (4) के बीच है। परीक्षा में वर्गमूल की स्थिति के लिए नजदीकी पूर्ण वर्ग देखें।

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संख्या रेखा पर \(-\sqrt{3}\) और \(-\sqrt{12}\) में कौन सा बिंदु दाईं ओर होगा?

On the number line, which point will be to the right, \(-\sqrt{3}\) or \(-\sqrt{12}\)?

Explanation opens after your attempt
Correct Answer

A. \(-\sqrt{3}\)

Step 1

Concept

Since \(\sqrt{12}>\sqrt{3}\), \(-\sqrt{3}\) is greater and lies to the right. In exams, negative signs reverse the comparison effect for square roots.

Step 2

Why this answer is correct

The correct answer is A. \(-\sqrt{3}\). Since \(\sqrt{12}>\sqrt{3}\), \(-\sqrt{3}\) is greater and lies to the right. In exams, negative signs reverse the comparison effect for square roots.

Step 3

Exam Tip

क्योंकि \(\sqrt{12}>\sqrt{3}\), इसलिए \(-\sqrt{3}\) बड़ा है और दाईं ओर होगा। परीक्षा में ऋणात्मक वर्गमूलों की तुलना करते समय चिह्न उल्टा प्रभाव देता है।

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संख्या रेखा पर \(\sqrt{2}\) और \(\sqrt{8}\) में कौन सा बिंदु दाईं ओर होगा?

On the number line, which point will be to the right, \(\sqrt{2}\) or \(\sqrt{8}\)?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{8}\)

Step 1

Concept

Since (8>2), \(\sqrt{8}>\sqrt{2}\). In exams, compare positive square roots using the numbers inside them.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{8}\). Since (8>2), \(\sqrt{8}>\sqrt{2}\). In exams, compare positive square roots using the numbers inside them.

Step 3

Exam Tip

क्योंकि (8>2), इसलिए \(\sqrt{8}>\sqrt{2}\) है। परीक्षा में धनात्मक वर्गमूलों की तुलना अंदर की संख्या से करें।

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संख्या रेखा पर कौन सा बिंदु (0) से (1.75) इकाई बाईं ओर है?

Which point is (1.75) units to the left of (0) on the number line?

Explanation opens after your attempt
Correct Answer

B. (-1.75)

Step 1

Concept

Moving (1.75) units to the left from (0) gives (-1.75). In exams, moving left decreases the number.

Step 2

Why this answer is correct

The correct answer is B. (-1.75). Moving (1.75) units to the left from (0) gives (-1.75). In exams, moving left decreases the number.

Step 3

Exam Tip

(0) से बाईं ओर (1.75) इकाई जाने पर (-1.75) मिलता है। परीक्षा में बाईं ओर चलना संख्या घटाता है।

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संख्या रेखा पर कौन सा बिंदु (0) से (2.5) इकाई दाईं ओर है?

Which point is (2.5) units to the right of (0) on the number line?

Explanation opens after your attempt
Correct Answer

B. (2.5)

Step 1

Concept

Moving (2.5) units to the right from (0) gives (2.5). In exams, moving right increases the number.

Step 2

Why this answer is correct

The correct answer is B. (2.5). Moving (2.5) units to the right from (0) gives (2.5). In exams, moving right increases the number.

Step 3

Exam Tip

(0) से दाईं ओर (2.5) इकाई जाने पर (2.5) मिलता है। परीक्षा में दाईं ओर चलना संख्या बढ़ाता है।

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संख्या रेखा पर (t(x)=4x+8) का शून्यक कौन सा है?

What is the zero of (t(x)=4x+8) on the number line?

Explanation opens after your attempt
Correct Answer

B. (-2)

Step 1

Concept

From (4x+8=0), we get (x=-2). In exams, do not forget the negative sign after division.

Step 2

Why this answer is correct

The correct answer is B. (-2). From (4x+8=0), we get (x=-2). In exams, do not forget the negative sign after division.

Step 3

Exam Tip

(4x+8=0) से (x=-2) मिलता है। परीक्षा में भाग देने के बाद भी ऋण चिह्न न भूलें।

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संख्या रेखा पर (s(x)=5x-10) का शून्यक कौन सा बिंदु है?

Which point is the zero of (s(x)=5x-10) on the number line?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

From (5x-10=0), we get (x=2). In exams, move the constant term to the other side first.

Step 2

Why this answer is correct

The correct answer is B. (2). From (5x-10=0), we get (x=2). In exams, move the constant term to the other side first.

Step 3

Exam Tip

(5x-10=0) से (x=2) मिलता है। परीक्षा में पहले स्थिर पद को दूसरी ओर ले जाएं।

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संख्या रेखा पर (p(x)=x) का शून्यक कौन सा है?

What is the zero of (p(x)=x) on the number line?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

For (p(x)=x), putting (x=0) gives (p(x)=0). In exams, a zero is the value where the polynomial becomes (0).

Step 2

Why this answer is correct

The correct answer is B. (0). For (p(x)=x), putting (x=0) gives (p(x)=0). In exams, a zero is the value where the polynomial becomes (0).

Step 3

Exam Tip

(p(x)=x) में (x=0) रखने पर (p(x)=0) होता है। परीक्षा में शून्यक वह मान है जहां बहुपद का मान (0) हो।

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यदि संख्या रेखा पर (C=2.5) और (D=4) हैं, तो दोनों के बीच दूरी कितनी है?

If (C=2.5) and (D=4) on the number line, what is the distance between them?

Explanation opens after your attempt
Correct Answer

B. (1.5) इकाई(1.5) units

Step 1

Concept

The distance is (4-2.5=1.5) units. In exams, perform decimal subtraction clearly.

Step 2

Why this answer is correct

The correct answer is B. (1.5) इकाई / (1.5) units. The distance is (4-2.5=1.5) units. In exams, perform decimal subtraction clearly.

Step 3

Exam Tip

दूरी (4-2.5=1.5) इकाई है। परीक्षा में दशमलव घटाव साफ-साफ करें।

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यदि संख्या रेखा पर (A=-3) और (B=1) हैं, तो (A) से (B) तक दूरी कितनी है?

If (A=-3) and (B=1) on the number line, what is the distance from (A) to (B)?

Explanation opens after your attempt
Correct Answer

C. (4) इकाई(4) units

Step 1

Concept

The distance is (1-(-3)=4) units. In exams, use brackets while subtracting signed numbers.

Step 2

Why this answer is correct

The correct answer is C. (4) इकाई / (4) units. The distance is (1-(-3)=4) units. In exams, use brackets while subtracting signed numbers.

Step 3

Exam Tip

दूरी (1-(-3)=4) इकाई है। परीक्षा में दो चिह्नों के बीच घटाव करते समय कोष्ठक लगाएं।

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संख्या रेखा पर \(\frac{11}{5}\) को किस दशमलव से दिखाया जा सकता है?

Which decimal can represent \(\frac{11}{5}\) on the number line?

Explanation opens after your attempt
Correct Answer

B. (2.2)

Step 1

Concept

\(\frac{11}{5}=2.2\). In exams, fractions with denominator (5) can be converted easily to denominator (10).

Step 2

Why this answer is correct

The correct answer is B. (2.2). \(\frac{11}{5}=2.2\). In exams, fractions with denominator (5) can be converted easily to denominator (10).

Step 3

Exam Tip

\(\frac{11}{5}=2.2\) है। परीक्षा में हर (5) वाली भिन्न को (10) के हर में बदलना आसान होता है।

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संख्या रेखा पर (0.05) किस दो पूर्णांकों के बीच होगा?

Between which two integers will (0.05) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (0) और (1)(0) and (1)

Step 1

Concept

(0.05) is greater than (0) and less than (1). In exams, read the size of decimals carefully.

Step 2

Why this answer is correct

The correct answer is B. (0) और (1) / (0) and (1). (0.05) is greater than (0) and less than (1). In exams, read the size of decimals carefully.

Step 3

Exam Tip

(0.05), (0) से अधिक और (1) से कम है। परीक्षा में दशमलव के आकार को ध्यान से पढ़ें।

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संख्या रेखा पर (-0.2) किस दो पूर्णांकों के बीच होगा?

Between which two integers will (-0.2) lie on the number line?

Explanation opens after your attempt
Correct Answer

B. (-1) और (0)(-1) and (0)

Step 1

Concept

(-0.2) is negative and greater than (-1). In exams, place small negative decimals between (-1) and (0).

Step 2

Why this answer is correct

The correct answer is B. (-1) और (0) / (-1) and (0). (-0.2) is negative and greater than (-1). In exams, place small negative decimals between (-1) and (0).

Step 3

Exam Tip

(-0.2) ऋणात्मक है और (-1) से बड़ा है। परीक्षा में छोटे ऋणात्मक दशमलव को (-1) और (0) के बीच रखें।

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संख्या रेखा पर \(\frac{1}{10}\) और \(\frac{9}{10}\) में कौन सा बिंदु (1) के निकट है?

On the number line, which point is closer to (1), \(\frac{1}{10}\) or \(\frac{9}{10}\)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{9}{10}\)

Step 1

Concept

\(\frac{9}{10}\) is only \(\frac{1}{10}\) away from (1). In exams, find the difference to check closeness.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{9}{10}\). \(\frac{9}{10}\) is only \(\frac{1}{10}\) away from (1). In exams, find the difference to check closeness.

Step 3

Exam Tip

\(\frac{9}{10}\), (1) से केवल \(\frac{1}{10}\) दूर है। परीक्षा में निकटता के लिए अंतर निकालें।

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कौन सी संख्या संख्या रेखा पर (3) के बाईं ओर होगी?

Which number will lie to the left of (3) on the number line?

Explanation opens after your attempt
Correct Answer

D. (2.9)

Step 1

Concept

Numbers decrease to the left on the number line, and (2.9<3). In exams, connect the left direction with the smaller number.

Step 2

Why this answer is correct

The correct answer is D. (2.9). Numbers decrease to the left on the number line, and (2.9<3). In exams, connect the left direction with the smaller number.

Step 3

Exam Tip

संख्या रेखा पर बाईं ओर संख्या छोटी होती है और (2.9<3) है। परीक्षा में बाईं दिशा को छोटी संख्या से जोड़ें।

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कौन सी संख्या संख्या रेखा पर (-2) के दाईं ओर होगी?

Which number will lie to the right of (-2) on the number line?

Explanation opens after your attempt
Correct Answer

C. (-1)

Step 1

Concept

Numbers increase to the right on the number line, and (-1>-2). In exams, connect the right direction with the greater number.

Step 2

Why this answer is correct

The correct answer is C. (-1). Numbers increase to the right on the number line, and (-1>-2). In exams, connect the right direction with the greater number.

Step 3

Exam Tip

संख्या रेखा पर दाईं ओर संख्या बड़ी होती है और (-1>-2) है। परीक्षा में दाईं दिशा को बड़ी संख्या से जोड़ें।

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संख्या रेखा पर \(2+\frac{3}{10}\) किस दशमलव के बराबर है?

On the number line, \(2+\frac{3}{10}\) is equal to which decimal?

Explanation opens after your attempt
Correct Answer

B. (2.3)

Step 1

Concept

\(2+\frac{3}{10}=2.3\). In exams, read \(\frac{3}{10}\) as (0.3).

Step 2

Why this answer is correct

The correct answer is B. (2.3). \(2+\frac{3}{10}=2.3\). In exams, read \(\frac{3}{10}\) as (0.3).

Step 3

Exam Tip

\(2+\frac{3}{10}=2.3\) है। परीक्षा में \(\frac{3}{10}\) को (0.3) समझें।

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संख्या रेखा पर \(\frac{5}{4}\) को मिश्र संख्या के रूप में कहां रखा जाएगा?

Where will \(\frac{5}{4}\) be placed as a mixed number on the number line?

Explanation opens after your attempt
Correct Answer

A. \(1+\frac{1}{4}\)

Step 1

Concept

\(\frac{5}{4}=1+\frac{1}{4}\), so it is one-fourth after (1). In exams, convert an improper fraction into mixed form.

Step 2

Why this answer is correct

The correct answer is A. \(1+\frac{1}{4}\). \(\frac{5}{4}=1+\frac{1}{4}\), so it is one-fourth after (1). In exams, convert an improper fraction into mixed form.

Step 3

Exam Tip

\(\frac{5}{4}=1+\frac{1}{4}\), इसलिए यह (1) के बाद एक चौथाई भाग पर है। परीक्षा में अपूर्ण भिन्न को मिश्र रूप में बदलें।

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संख्या रेखा पर (-7) का विपरीत बिंदु कौन सा है?

What is the opposite point of (-7) on the number line?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

The opposite point of (-7) is (7) because both are equally distant from (0). In exams, change the sign to identify the opposite number.

Step 2

Why this answer is correct

The correct answer is A. (7). The opposite point of (-7) is (7) because both are equally distant from (0). In exams, change the sign to identify the opposite number.

Step 3

Exam Tip

(-7) का विपरीत बिंदु (7) है क्योंकि दोनों (0) से समान दूरी पर हैं। परीक्षा में विपरीत संख्या पहचानने के लिए चिह्न बदलें।

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