Concept-wise Practice

average-property MCQ Questions for Class 9

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

Practice Questions

12 questions tagged with average-property.

यदि समांतर श्रेणी में \(a_4+a_{10}=96\) है, तो \(a_7\) क्या होगा?

If in an arithmetic progression \(a_4+a_{10}=96\), what is \(a_7\)?

Explanation opens after your attempt
Correct Answer

C. (48)

Step 1

Concept

\(a_7\) is equidistant from \(a_4\) and \(a_{10}\), so \(a_7=\frac{96}{2}=48\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (48). \(a_7\) is equidistant from \(a_4\) and \(a_{10}\), so \(a_7=\frac{96}{2}=48\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_7\), \(a_4\) और \(a_{10}\) से समान दूरी पर है, इसलिए \(a_7=\frac{96}{2}=48\)। सममित पदों का औसत मध्य पद होता है।

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यदि समांतर श्रेणी में \(a_5+a_{15}=150\) है, तो \(a_{10}\) क्या होगा?

If in an arithmetic progression \(a_5+a_{15}=150\), what is \(a_{10}\)?

Explanation opens after your attempt
Correct Answer

C. (75)

Step 1

Concept

\(a_{10}\) is equidistant from \(a_5\) and \(a_{15}\), so \(a_{10}=\frac{150}{2}=75\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (75). \(a_{10}\) is equidistant from \(a_5\) and \(a_{15}\), so \(a_{10}=\frac{150}{2}=75\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_{10}\), \(a_5\) और \(a_{15}\) से समान दूरी पर है, इसलिए \(a_{10}=\frac{150}{2}=75\)। सममित पदों का औसत मध्य पद होता है।

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यदि \(a_4+a_{16}=140\) है, तो \(a_{10}\) का मान क्या है?

If \(a_4+a_{16}=140\), what is the value of \(a_{10}\)?

Explanation opens after your attempt
Correct Answer

C. (70)

Step 1

Concept

\(a_{10}\) is equidistant from \(a_4\) and \(a_{16}\), so \(a_{10}=\frac{140}{2}=70\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (70). \(a_{10}\) is equidistant from \(a_4\) and \(a_{16}\), so \(a_{10}=\frac{140}{2}=70\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_{10}\), \(a_4\) और \(a_{16}\) से समान दूरी पर है, इसलिए \(a_{10}=\frac{140}{2}=70\)। सममित पदों का औसत बीच का पद होता है।

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यदि किसी समांतर श्रेणी में \(a_6+a_{14}=120\) है, तो \(a_{10}\) का मान क्या होगा?

If in an arithmetic progression \(a_6+a_{14}=120\), what is the value of \(a_{10}\)?

Explanation opens after your attempt
Correct Answer

C. (60)

Step 1

Concept

\(a_{10}\) is equidistant from \(a_6\) and \(a_{14}\), so \(a_{10}=\frac{120}{2}=60\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (60). \(a_{10}\) is equidistant from \(a_6\) and \(a_{14}\), so \(a_{10}=\frac{120}{2}=60\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_6\) और \(a_{14}\) से \(a_{10}\) समान दूरी पर है, इसलिए \(a_{10}=\frac{120}{2}=60\)। सममित पदों का औसत मध्य पद होता है।

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यदि समांतर श्रेणी में \(a_3+a_7=60\) है, तो \(a_5\) क्या होगा?

If in an arithmetic progression \(a_3+a_7=60\), what is \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (30)

Step 1

Concept

\(a_5\) is equidistant from \(a_3\) and \(a_7\), so \(a_5=\frac{60}{2}=30\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (30). \(a_5\) is equidistant from \(a_3\) and \(a_7\), so \(a_5=\frac{60}{2}=30\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_5\), \(a_3\) और \(a_7\) से समान दूरी पर है, इसलिए \(a_5=\frac{60}{2}=30\)। सममित पदों का औसत मध्य पद होता है।

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यदि समांतर श्रेणी में \(a_4+a_{12}=112\) है, तो \(a_8\) क्या होगा?

If in an arithmetic progression \(a_4+a_{12}=112\), what is \(a_8\)?

Explanation opens after your attempt
Correct Answer

C. (56)

Step 1

Concept

\(a_8\) is equidistant from \(a_4\) and \(a_{12}\), so \(a_8=\frac{112}{2}=56\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (56). \(a_8\) is equidistant from \(a_4\) and \(a_{12}\), so \(a_8=\frac{112}{2}=56\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_8\), \(a_4\) और \(a_{12}\) से समान दूरी पर है, इसलिए \(a_8=\frac{112}{2}=56\)। सममित पदों का औसत मध्य पद होता है।

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यदि \(a_3+a_{15}=108\) है, तो \(a_9\) का मान क्या है?

If \(a_3+a_{15}=108\), what is the value of \(a_9\)?

Explanation opens after your attempt
Correct Answer

C. (54)

Step 1

Concept

\(a_9\) is equidistant from \(a_3\) and \(a_{15}\), so \(a_9=\frac{108}{2}=54\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (54). \(a_9\) is equidistant from \(a_3\) and \(a_{15}\), so \(a_9=\frac{108}{2}=54\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_9\), \(a_3\) और \(a_{15}\) से समान दूरी पर है, इसलिए \(a_9=\frac{108}{2}=54\)। सममित पदों का औसत बीच का पद होता है।

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यदि किसी समांतर श्रेणी में \(a_5+a_{13}=86\) है, तो \(a_9\) का मान क्या होगा?

If in an arithmetic progression \(a_5+a_{13}=86\), what is the value of \(a_9\)?

Explanation opens after your attempt
Correct Answer

C. (43)

Step 1

Concept

\(a_9\) is equidistant from \(a_5\) and \(a_{13}\), so \(a_9=\frac{86}{2}=43\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (43). \(a_9\) is equidistant from \(a_5\) and \(a_{13}\), so \(a_9=\frac{86}{2}=43\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_5\) और \(a_{13}\) से \(a_9\) समान दूरी पर है, इसलिए \(a_9=\frac{86}{2}=43\)। सममित पदों का औसत मध्य पद होता है।

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यदि समांतर श्रेणी में \(a_2+a_6=40\) है, तो \(a_4\) क्या होगा?

If in an arithmetic progression \(a_2+a_6=40\), what is \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (20)

Step 1

Concept

\(a_4\) is equidistant from \(a_2\) and \(a_6\), so \(a_4=\frac{40}{2}=20\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (20). \(a_4\) is equidistant from \(a_2\) and \(a_6\), so \(a_4=\frac{40}{2}=20\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_4\), \(a_2\) और \(a_6\) से समान दूरी पर है, इसलिए \(a_4=\frac{40}{2}=20\)। सममित पदों का औसत मध्य पद होता है।

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यदि समांतर श्रेणी में \(a_3+a_9=72\) है, तो \(a_6\) क्या होगा?

If in an arithmetic progression \(a_3+a_9=72\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

C. (36)

Step 1

Concept

\(a_6\) is equidistant from \(a_3\) and \(a_9\), so \(a_6=\frac{72}{2}=36\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is C. (36). \(a_6\) is equidistant from \(a_3\) and \(a_9\), so \(a_6=\frac{72}{2}=36\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_3\) और \(a_9\) से \(a_6\) समान दूरी पर है, इसलिए \(a_6=\frac{72}{2}=36\)। सममित पदों का औसत मध्य पद होता है।

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यदि \(a_2+a_{10}=64\) है, तो \(a_6\) का मान क्या है?

If \(a_2+a_{10}=64\), what is the value of \(a_6\)?

Explanation opens after your attempt
Correct Answer

D. (32)

Step 1

Concept

\(a_6\) is equidistant from \(a_2\) and \(a_{10}\), so \(a_6=\frac{64}{2}=32\). The average of symmetric terms is the middle term.

Step 2

Why this answer is correct

The correct answer is D. (32). \(a_6\) is equidistant from \(a_2\) and \(a_{10}\), so \(a_6=\frac{64}{2}=32\). The average of symmetric terms is the middle term.

Step 3

Exam Tip

\(a_2\) और \(a_{10}\) से \(a_6\) समान दूरी पर है, इसलिए \(a_6=\frac{64}{2}=32\)। सममित पदों का औसत बीच का पद होता है।

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यदि किसी समांतर श्रेणी में \(a_4+a_8=50\) है, तो \(a_6\) का मान क्या होगा?

If in an arithmetic progression \(a_4+a_8=50\), what is the value of \(a_6\)?

Explanation opens after your attempt
Correct Answer

B. (25)

Step 1

Concept

In an arithmetic progression, the average of \(a_4\) and \(a_8\) is \(a_6\), so \(a_6=\frac{50}{2}=25\). Equidistant terms average to the middle term.

Step 2

Why this answer is correct

The correct answer is B. (25). In an arithmetic progression, the average of \(a_4\) and \(a_8\) is \(a_6\), so \(a_6=\frac{50}{2}=25\). Equidistant terms average to the middle term.

Step 3

Exam Tip

समांतर श्रेणी में \(a_4\) और \(a_8\) का औसत \(a_6\) होता है, इसलिए \(a_6=\frac{50}{2}=25\)। समान दूरी वाले पदों का औसत बीच का पद होता है।

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