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If (a + b)/2, b, (b + c)/2 are in HP, then which one of the following is correct?
NDA Mathematics 2022
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If a, b, c are in GP where a > 0, b > 0, c > 0, then which of…
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Mathematics
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If A = {1, 2, 3}, then how many elements are there in the power set of A?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the value of2(2×1) + 3(3×2×1) + 4(4×3×2×1) + 5(5×4×3×2×1) + … + 9(9×8×7×6×5×4×3×2×1) + 2?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the maximum value of n such that 5ⁿ divides (30! + 35!), where n is a natural number?
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NDA 2022
Mathematics
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Let α and β (α > β) be the roots of the equation x² − 8x + q = 0.…
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NDA 2022
Mathematics
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If the roots of the equation x² − ax − bx − cx + bc + ca = 0 are…
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Mathematics
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Let α and β be the roots of the equation x² − ax − bx + ab − c =…
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NDA 2022
Mathematics
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Let α and β be the roots of the equation x² + px + q = 0. If α³ and…
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NDA 2022
Mathematics
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How many permutations are there of the letters of the word ‘TIGER’ in which the vowels should not occupy the…
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NDA 2022
Mathematics
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How many odd numbers between 300 and 400 are there in which none of the digits is repeated?
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NDA 2022
Mathematics
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What is the value ofC(51, 21) − C(51, 22) + C(51, 23) − C(51, 24) + C(51, 25) − C(51,…
NDA Mathematics 2022
NDA 2022
Mathematics
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If C(3n, 2n) = C(3n, 2n−7), then what is the value of C(n, n−5)?
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NDA 2022
Mathematics
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Consider the following statements in respect of the expansion of (x + y)^10: 1.Among all the coefficients of the terms,…
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NDA 2022
Mathematics
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How many terms are there in the expansion of ( 1+ 2/x)^9 ( 1- 2/x)^9
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NDA 2022
Mathematics
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Let A and B be non-singular matrices of the same order such that AB = A and BA = B.…
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NDA 2022
Mathematics
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If A is the identity matrix of order 3 and B is its transpose, then what is the value of…
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NDA 2022
Mathematics
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Consider the following statements in respect of square matrices A and B of same order: 1.If AB is a null…
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NDA 2022
Mathematics
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Let A be a non-singular matrix and B = adj A. Which of the following statements is/are correct? 1.AB =…
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NDA 2022
Mathematics
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For what value of k is the matrix [ 2cos2θ 2cos2θ 6 ] [1−2sin²θ 2cos²θ−1 3] [k 2k 1 ]…
NDA Mathematics 2022
NDA 2022