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 431-440 of 600 questions.
If (6, h, 30) are in an arithmetic progression, which pair of (h) and common difference is correct?
B. (h=18, d=12)
बीच का पद \(\frac{6+30}{2}=18\) है। सामान्य अंतर (18-6=12) है। / The middle term is \(\frac{6+30}{2}=18\). The common difference is (18-6=12).
Login to save your score, XP, coins and progress.
The sequence (4x-3, 3x+5, x+21) is in an arithmetic progression. What is the common difference?
A. (8)
अंतर (-x+8) और (-2x+16) हैं। बराबर करने पर (x=8), इसलिए (d=0) नहीं बल्कि (d=0) आता है। / The differences are (-x+8) and (-2x+16). Equating them gives (x=8), so (d=0), not (8).
Login to save your score, XP, coins and progress.
A. (0)
बराबर अंतर के लिए (-x+8=-2x+16), जिससे (x=8). तब दोनों अंतर (0) हैं। / For equal differences, (-x+8=-2x+16), which gives (x=8). Then both differences are (0).
Login to save your score, XP, coins and progress.
If (1, 1+2p, 1+5p, 1+9p) is an arithmetic progression, what is correct about (p)?
A. (p=0)
अंतर (2p, 3p, 4p) हैं। ये बराबर केवल (p=0) पर होंगे। / The differences are (2p, 3p, 4p). They are equal only when (p=0).
Login to save your score, XP, coins and progress.
Which sequence has common difference \(\frac{3}{4}\)?
A. \(\frac{1}{4}, 1, \frac{7}{4}, \frac{5}{2}\)
पहले विकल्प में हर लगातार अंतर \(\frac{3}{4}\) है। भिन्नों में हर को समान बनाकर अंतर निकालना सुरक्षित तरीका है। / In the first option, every consecutive difference is \(\frac{3}{4}\). With fractions, using common denominators is the safer method.
Login to save your score, XP, coins and progress.
If (5-2t, 7-t, 12+t) are in an arithmetic progression, what is the value of (t)?
A. (-3)
अंतर (t+2) और (t+5) नहीं, सही दूसरा अंतर (5+2t) है। (t+2=5+2t) से (t=-3). / The differences are not (t+2) and (t+5); the correct second difference is (5+2t). From (t+2=5+2t), (t=-3).
Login to save your score, XP, coins and progress.
In the sequence \(101, 97, 93, 89, \ldots\), what is the common difference and what is its nature?
B. (-4), ऋणात्मक(-4), negative
हर अगला पद पिछले से (4) कम है, इसलिए (d=-4). घटती समांतर श्रेणी में सामान्य अंतर ऋणात्मक होता है। / Each next term is (4) less than the previous one, so (d=-4). A decreasing arithmetic progression has a negative common difference.
Login to save your score, XP, coins and progress.
If (a, b, c) are in an arithmetic progression, what is the value of (a-2b+c)?
B. (0)
समांतर श्रेणी में (2b=a+c). इसलिए (a-2b+c=0). / In an arithmetic progression, (2b=a+c). Therefore (a-2b+c=0).
Login to save your score, XP, coins and progress.
For which (a) is (a+4, 2a+1, 5a-8) an arithmetic progression?
C. (3)
अंतर (a-3) और (3a-9) हैं। बराबर करने पर (a=3) मिलता है। / The differences are (a-3) and (3a-9). Equating them gives (a=3).
Login to save your score, XP, coins and progress.
If (2, x+1, 3x+4, 5x+7) is an arithmetic progression, what is the value of (x)?
D. ऐसा कोई (x) नहीं हैNo such (x) exists
अंतर (x-1, 2x+3, 2x+3) हैं। पहले दो बराबर करने पर (x=-4), लेकिन तब सभी अंतर बराबर नहीं बनते। / The differences are (x-1, 2x+3, 2x+3). Equating the first two gives (x=-4), but then all differences do not stay equal.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.