NDA Maths 2022 Question Paper
Question 1If A = {1, 2, 3}, B = {2, 3, 4}, then A ∩ B is a.1, 2, 3 b.2, 3, 4 c.2, 3 d.3, 4 Question 2In a class of 45 students, 22 can speak in Hindi only and 12 can speak in English only. How many students can speak both Hindi and English? a.11 b.12 c.21 d.22 Question 3The solution of | x – 3 | = 8 is equal to a.(5, 11) b.(-5, 11) c.(5, -11) d.(-5, -11) Question 4If α and β are the roots of x2 – 6x + 6 = 0, then α2 + β2 = ? a.12 b.18 c.24 d.32 e.36 Question 5If 2x + y = 5, 3x – 4y = 2, then the value of 2xy is a.2 b.4 c.6 d.8 Question 6How many words can be formed by using all the letters of the word ‘TIGER’? a.30 b.60 c.120 d.240 Question 7Evaluate log3 243. a.2 b.3 c.4 d.5 Question 8Find the sum of the series 3, 6, 9, 12, … upto 10 terms. a.150 b.155 c.160 d.165 Question 9Find the value of a, b, c and d form the following equation: a. a = 1, b = 2, c = 3, d = 4 b. a = 4, b = 3, c = 2, d = 1 c. a = 1, b = 3, c = 2, d = 4 d. a = 1, b = 2, c = 4, d = 3 Question 10Evaluate the determinant. a.26 b.36 c.46 d.56 Question 11In a right triangle ABC, right-angled at B, if tan A = 1, then find the value of 2 sin A cos A. a.1 b.2 c.3 d.4 Question 12sec A (1 – sin A)(sec A + tan A) = ? a.4 b.3 c.2 d.1 Question 13Find the value of x for which the points (x, -1), (2, 1) and (4, 5) are collinear. a.1 b.3 c.5 d.6 Question 14The planes: 2x – y + 4z = 5 and 5x – 2.5y + 10z = 6 are a.Perpendicular b.Parallel c.intersect y-axis d.none of the above Question 15A bag contains 5 red balls and 4 green balls. 2 balls are drawn at random. What is the probability that both balls are same in color? a.2/9 b.3/9 c.4/9 d.5/9 Question 16Evaluate: a.1 b.-1 c.2 d.-2 Question 17Evaluate: a.-1 b.-2 c.-3 d.-4 Question 18What is the order of the differential equation given below? a.1 b.2 c.3 d.Not defined Question 19The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 13×2 + 26x + 15 Find the marginal revenue when x = 7. a.Rs. 108 b.Rs. 208 c.Rs. 116 d.Rs. 216 Question 20What will be the result of the following integration? ∫ sec x(sec x + tanx)dx a.tanx + secx + C b.tanx + secx – C c.tanx – secx + C d.tanx – secx – C