Numbers and Quantification
CBSE · Class 11 · Applied Mathematics
Most important questions from Numbers and Quantification for CBSE Class 11 Applied Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
Using the Sieve of Eratosthenes method, which numbers would be eliminated when crossing out multiples of 2 from the list 1 to 20?
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4, 6, 8, 12
When using Sieve of Eratosthenes, after keeping 2 as prime, we eliminate all its multiples: 4, 6, 8, 10, 12, 14, 16, 18, 20. Among the options, 4, 6, 8, and 12 are multiples of 2. 3 and 15 are not multiples of 2.
Convert 25 to binary.
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(11001)₂
25 ÷ 2 = 12 remainder 1; 12 ÷ 2 = 6 remainder 0; 6 ÷ 2 = 3 remainder 0; 3 ÷ 2 = 1 remainder 1; 1 ÷ 2 = 0 remainder 1. Reading remainders from bottom to top: (11001)₂. Check: 1×16 + 1×8 + 0×4 + 0×2 + 1×1 = 25.
What is the complex conjugate of 2 - 5i?
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2 + 5i
The complex conjugate of a + bi is a - bi. For 2 - 5i, we change the sign of the imaginary part: 2 - (-5)i = 2 + 5i. The real part stays the same, only the imaginary part changes sign.
Simplify log₂(8) + log₂(4).
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5
Using the property log(a) + log(b) = log(ab): log₂(8) + log₂(4) = log₂(8 × 4) = log₂(32). Since 2⁵ = 32, log₂(32) = 5. Alternatively: log₂(8) = 3, log₂(4) = 2, so 3 + 2 = 5.
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