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ap-ratio-hard MCQ Questions for Class 10

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

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3 questions tagged with ap-ratio-hard.

Question 1/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

एक समान्तर श्रेणी में \(a_{15}=4a_7-10\) और \(a_7=26\) है। \(a_{31}\) क्या होगा?

In an AP, \(a_{15}=4a_7-10\) and \(a_7=26\). What is \(a_{31}\)?

Explanation opens after your attempt
Correct Answer

B. (178)

Step 1

Concept

\(a_{15}=94\) and (8d=68), so \(d=\frac{17}{2}\). \(a_{31}=94+16\cdot\frac{17}{2}=230\).

Step 2

Why this answer is correct

The correct answer is B. (178). \(a_{15}=94\) and (8d=68), so \(d=\frac{17}{2}\). \(a_{31}=94+16\cdot\frac{17}{2}=230\).

Step 3

Exam Tip

\(a_{15}=94\) और (8d=68) इसलिए \(d=\frac{17}{2}\)। \(a_{31}=94+16\cdot\frac{17}{2}=230\)।

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Question 2/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि \(a_{18}=4a_6\) और \(a_6=30\) है तो \(a_{30}\) क्या होगा?

If \(a_{18}=4a_6\) and \(a_6=30\), what is \(a_{30}\)?

Explanation opens after your attempt
Correct Answer

C. (210)

Step 1

Concept

\(a_{18}=120\), so (12d=90) and \(d=\frac{15}{2}\). \(a_{30}=120+12d=210\).

Step 2

Why this answer is correct

The correct answer is C. (210). \(a_{18}=120\), so (12d=90) and \(d=\frac{15}{2}\). \(a_{30}=120+12d=210\).

Step 3

Exam Tip

\(a_{18}=120\) इसलिए (12d=90) और \(d=\frac{15}{2}\)। \(a_{30}=120+12d=210\)।

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Question 3/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

एक समान्तर श्रेणी में \(a_{11}=4a_3\) और \(a_3=18\) है। \(a_{15}\) क्या होगा?

In an AP, \(a_{11}=4a_3\) and \(a_3=18\). What is \(a_{15}\)?

Explanation opens after your attempt
Correct Answer

C. (99)

Step 1

Concept

\(a_{11}=72\) and (8d=54), so \(d=\frac{27}{4}\). \(a_{15}=72+4d=99\).

Step 2

Why this answer is correct

The correct answer is C. (99). \(a_{11}=72\) and (8d=54), so \(d=\frac{27}{4}\). \(a_{15}=72+4d=99\).

Step 3

Exam Tip

\(a_{11}=72\) और (8d=54) इसलिए \(d=\frac{27}{4}\)। \(a_{15}=72+4d=99\)।

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