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 291-300 of 600 questions.
In the geometric progression \(5,25,125,\ldots\), what is \(a_4\)?
C. (625)
सार्व अनुपात (5) है, इसलिए \(a_4=5\cdot5^3=625\)। (4)वें पद के लिए (3) बार अनुपात लगता है। / The common ratio is (5), so \(a_4=5\cdot5^3=625\). For the fourth term the ratio is used (3) times.
Login to save your score, XP, coins and progress.
If a geometric progression has \(a_1=6\) and \(a_3=150\), what is the positive (r)?
C. (5)
\(a_3=a_1r^2\), इसलिए \(150=6r^2\) और \(r^2=25\), अतः धनात्मक (r=5)। धनात्मक अनुपात मांगने पर धनात्मक मूल लें। / \(a_3=a_1r^2\), so \(150=6r^2\) and \(r^2=25\), hence positive (r=5). When positive ratio is asked take the positive root.
Login to save your score, XP, coins and progress.
Which statement is correct for \(24,12,6,3,\ldots\)?
B. यह \(r=\frac{1}{2}\) वाली गुणोत्तर श्रेढ़ी हैIt is a geometric progression with \(r=\frac{1}{2}\)
हर पद पिछले पद का आधा है, इसलिए \(r=\frac{1}{2}\) है। अनुपात जांचने के लिए अगला पद पिछले पद से भाग दें। / Each term is half of the previous term, so \(r=\frac{1}{2}\). To check the ratio divide the next term by the previous term.
Login to save your score, XP, coins and progress.
If \(a_n=768\) in \(3,12,48,192,\ldots\), what is (n)?
B. (5)
पद (3,12,48,192,768) हैं, इसलिए (n=5)। पद-संख्या के लिए क्रम से घात पहचानें। / The terms are (3,12,48,192,768), so (n=5). For position identify powers in order.
Login to save your score, XP, coins and progress.
In the geometric progression \(6,18,54,162,\ldots\), what is \(a_2+a_4\)?
B. (180)
\(a_2=18\) और \(a_4=162\), इसलिए योग (180) है। दोनों पद अलग निकालकर जोड़ें। / \(a_2=18\) and \(a_4=162\), so the sum is (180). Find both terms separately and then add.
Login to save your score, XP, coins and progress.
D. (60)
पहले चार पद (32,16,8,4) हैं और योग (60) है। घटती गुणोत्तर श्रेढ़ी में पद क्रम से लिखें। / The first four terms are (32,16,8,4), and the sum is (60). In a decreasing geometric progression write the terms in order.
Login to save your score, XP, coins and progress.
If a geometric progression has \(a_3=20\) and (r=3), what will \(a_6\) be?
C. (540)
\(a_6=a_3r^3=20\cdot3^3=540\)। दिए हुए पद से आगे जाने के लिए अनुपात की सही घात लगाएं। / \(a_6=a_3r^3=20\cdot3^3=540\). To move forward from a given term, use the correct power of the ratio.
Login to save your score, XP, coins and progress.
For which (x) will (12,x,75) be consecutive terms of a positive geometric progression?
B. (30)
\(x^2=12\cdot75=900\), इसलिए धनात्मक (x=30)। मध्य पद ज्यामितीय माध्य होता है। / \(x^2=12\cdot75=900\), so positive (x=30). The middle term is the geometric mean.
Login to save your score, XP, coins and progress.
What is the next term in the geometric progression \(48,-24,12,-6,\ldots\)?
A. (3)
सार्व अनुपात \(-\frac{1}{2}\) है, इसलिए अगला पद ((-6)\left\(-\frac{1}{2}\right\)=3) होगा। ऋणात्मक अनुपात में चिह्न बदलते हैं। / The common ratio is \(-\frac{1}{2}\), so the next term is ((-6)\left\(-\frac{1}{2}\right\)=3). With a negative ratio the signs alternate.
Login to save your score, XP, coins and progress.
If \(a_n=7\cdot2^{n-1}\), what is the value of \(a_4+a_5\)?
D. (168)
\(a_4=56\) और \(a_5=112\), इसलिए योग (168) है। दोनों पद अलग निकालकर जोड़ें। / \(a_4=56\) and \(a_5=112\), so the sum is (168). Find both terms separately and then add.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.