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 121-130 of 600 questions.
How many distinct arrangements are there for the word (DAD)?
A. (3)
(D) दो बार है इसलिए \(\frac{3!}{2!}=3\) arrangements हैं। repeated letters को अलग-अलग न गिनें। / (D) occurs twice, so there are \(\frac{3!}{2!}=3\) arrangements. Do not count repeated letters as distinct.
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In how many ways can (5) children from (8) children be seated on a bench in order?
B. (6720)
उत्तर \({}^{8}P_{5}=8\times7\times6\times5\times4=6720\) है। बेंच पर बाएँ-दाएँ क्रम महत्त्वपूर्ण होता है। / The answer is \({}^{8}P_{5}=8\times7\times6\times5\times4=6720\). Left-right order on a bench matters.
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How many (3)-digit odd numbers can be formed from digits (2,4,6,8,9) without repetition?
C. (12)
इकाई स्थान पर केवल (9) आएगा और बाकी दो स्थान \(4\times3=12\) तरीकों से भरेंगे। odd number में इकाई स्थान पहले देखें। / Only (9) can be in the units place, and the other two places can be filled in \(4\times3=12\) ways. For odd numbers, check the units place first.
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What is the value of \({}^{15}P_{0}\)?
D. (1)
\({}^{n}P_{0}=1\) इसलिए \({}^{15}P_{0}=1\)। शून्य वस्तु चुनने का एक तरीका माना जाता है। / \({}^{n}P_{0}=1\), so \({}^{15}P_{0}=1\). Choosing zero objects is counted in one way.
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In how many ways can (5) different stamps be pasted on (5) different envelopes?
A. (120)
(5) अलग टिकट (5) अलग लिफाफों पर (5!=120) तरीकों से लगेंगे। one-to-one matching में factorial उपयोगी है। / (5) different stamps can be pasted on (5) different envelopes in (5!=120) ways. Factorial is useful in one-to-one matching.
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How many distinct letter arrangements are possible for the word (BANANA)?
B. (60)
(A) तीन बार और (N) दो बार है इसलिए \(\frac{6!}{3!2!}=60\)। repeated groups के factorial से भाग दें। / (A) occurs three times and (N) twice, so \(\frac{6!}{3!2!}=60\). Divide by factorials of repeated groups.
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In how many ways can a starting station and ending station be chosen from (6) different stations?
C. (30)
शुरू और समाप्ति क्रम वाले हैं इसलिए \({}^{6}P_{2}=30\)। route में starting और ending बदलने से मामला बदलता है। / Starting and ending are ordered, so \({}^{6}P_{2}=30\). In a route, changing start and end changes the case.
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How many (3)-digit numbers can be formed from digits (0,1,5,7) without repetition?
D. (18)
सैकड़ा स्थान पर (3) विकल्प हैं, फिर (3) और (2) विकल्प मिलते हैं, कुल (18)। पहले स्थान पर (0) की अनुमति नहीं है। / There are (3) choices for the hundreds place, then (3) and (2) choices, total (18). Zero is not allowed in the first place.
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In how many ways can (4) different direction cards be placed from top to bottom?
A. (24)
ऊपर से नीचे (4) अलग कार्डों की व्यवस्था (4!=24) है। linear order में factorial प्रयोग करें। / The top-to-bottom arrangement of (4) distinct cards is (4!=24). Use factorial in linear order.
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In how many ways can first and second speakers be chosen from (14) participants?
B. (182)
पहला और दूसरा वक्ता अलग क्रम वाले स्थान हैं इसलिए \({}^{14}P_{2}=182\)। speaking order में permutation लगता है। / First and second speakers are ordered positions, so \({}^{14}P_{2}=182\). Speaking order uses permutation.
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