Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 501-510 of 600 questions.
In an arithmetic progression, \(a_6=21\) and \(a_{14}=61\). What is the common difference (d)?
B. (5)
\(a_{14}-a_6=8d=40\), इसलिए (d=5)। दो पदों के बीच पद-संख्या का अंतर ध्यान से गिनें। / \(a_{14}-a_6=8d=40\), so (d=5). Count the difference of term positions carefully.
Login to save your score, XP, coins and progress.
If an arithmetic progression has \(a_4=17\) and (d=4), what is the first term \(a_1\)?
A. (5)
\(a_4=a_1+3d\), इसलिए \(17=a_1+12\) और \(a_1=5\)। दिए पद से पीछे जाते समय समान अंतर घटाएं। / \(a_4=a_1+3d\), so \(17=a_1+12\) and \(a_1=5\). When moving backward from a given term, subtract the common difference.
Login to save your score, XP, coins and progress.
The (n)th term of an arithmetic progression is \(a_n=8n-5\). Which term will be (83)?
C. (11)वाँ(11)th
(8n-5=83) से (8n=88) और (n=11)। पद की स्थिति के लिए \(a_n\) को दिए पद के बराबर रखें। / From (8n-5=83), (8n=88) and (n=11). To find the position, set \(a_n\) equal to the given term.
Login to save your score, XP, coins and progress.
If (x-3), (2x+1), (4x-1) are three consecutive terms of an arithmetic progression, what is (x)?
C. (6)
लगातार तीन पदों में (2(2x+1)=(x-3)+(4x-1)), इससे (x=6) मिलता है। बीच वाला पद दोनों ओर के पदों का औसत होता है। / For three consecutive terms, (2(2x+1)=(x-3)+(4x-1)), giving (x=6). The middle term is the average of the two surrounding terms.
Login to save your score, XP, coins and progress.
In an arithmetic progression, \(a_2=10\) and \(a_{10}=50\). What is the value of \(a_7\)?
C. (35)
\(a_{10}-a_2=8d=40\), इसलिए (d=5) और (a_7=10+5(5)=35)। पहले समान अंतर निकालें। / \(a_{10}-a_2=8d=40\), so (d=5) and (a_7=10+5(5)=35). Find the common difference first.
Login to save your score, XP, coins and progress.
Which arithmetic progression has \(a_5=29\) and (d=6)?
B. \(5,11,17,23,\ldots\)
\(5,11,17,23,29,\ldots\) में पाँचवाँ पद (29) और समान अंतर (6) है। विकल्पों को पद-संख्या तक जांचें। / In \(5,11,17,23,29,\ldots\), the fifth term is (29) and the common difference is (6). Check each option up to the required term.
Login to save your score, XP, coins and progress.
If \(a_1=7\) and \(a_{12}=73\), what is the common difference?
B. (6)
\(a_{12}=a_1+11d\), इसलिए (73=7+11d) और (d=6)। बारहवें पद तक (11) अंतर होते हैं। / \(a_{12}=a_1+11d\), so (73=7+11d) and (d=6). Up to the twelfth term, there are (11) gaps.
Login to save your score, XP, coins and progress.
What is the first negative term in the arithmetic progression \(25,19,13,7,\ldots\)?
B. (6)वाँ(6)th
पद \(25,19,13,7,1,-5,\ldots\) हैं, इसलिए पहला ऋणात्मक पद (6)वाँ है। शून्य के आसपास पदों को क्रम से जांचें। / The terms are \(25,19,13,7,1,-5,\ldots\), so the first negative term is the (6)th. Check terms around zero in order.
Login to save your score, XP, coins and progress.
In the arithmetic progression \(6,13,20,27,\ldots\), what is the value of \(a_{15}-a_6\)?
B. (63)
\(a_{15}\) और \(a_6\) के बीच (9) अंतर हैं और (d=7), इसलिए अंतर (63) है। पदों का अंतर पद-संख्या के अंतर पर निर्भर करता है। / There are (9) gaps between \(a_{15}\) and \(a_6\), and (d=7), so the difference is (63). Term difference depends on position difference.
Login to save your score, XP, coins and progress.
If \(a_n=4n+7\), what is the sum of the first (5) terms of this arithmetic progression?
C. (95)
पहले (5) पद (11,15,19,23,27) हैं और योग (95) है। नियम से पद बनाकर जोड़ना सुरक्षित तरीका है। / The first (5) terms are (11,15,19,23,27), and their sum is (95). Forming terms from the rule and adding is a safe method.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.