281. If x – y = 0 and 2x – y = 2, then the values of x and y are 3, 3 2, 2 -2, -2 -3, -3 Answer: 2, 2 282. The value of k for which the system of equations 2x – 3y = 1 and kx + 5y = 7 will […]

261. If cot θ = 7/8, then the value of (1+sin θ)(1-sin θ)/(1+cos θ)(1-cos θ) is 64/49 50/84 49/64 1 Answer: 49/64 262. If the points A(2, 3), B(4, k), C(6, -3) are collinear, then the value of k is -10 1 0 1 Answer: 1 263. If the points A(6, 1), B(8, 2), C(9,

241. The sum of two numbers is 161. If one number is 30% more than the other, the numbers are 71 and 90 70 and 91 54 and 107 60 and 101 Answer: 70 and 91 242. The common factor of \( p^2 + 9p + 14 \) and \( p^2 + 13p + 42

221. If the quadratic equation 4x² – (p – 2)x + 1 = 0 has equal roots, then the value of ‘p’ is 2 or 6 2 or -6 -2 or -6 -2 or 6 Answer: -2 or 6 222. The quadrilateral formed by connecting the points (1, 1), (-1, 5), (7, 9), and (9,

201. If a, b, c are in AP (Arithmetic Progression) and a+b/2 = x, b+c/2 = y, then the value of (x+y) is 2a 2b 2(a+b) 2(b+c) Answer: 2b 202. When four coins are tossed, the probability that none of them show heads is 1/16 1/8 1/6 3/4 Answer: 1/16 203. If (n² – 1)

181. A car has two wipers that do not overlap. Each wiper has a blade of 42 cm length that moves through an angle of 120°. Find the total area cleaned during each sweep of the blade. 4224 cm² 3696 cm² 1848 cm² 5544 cm² Answer: 3696 cm² 182. In the given figure, point P

161. A girl walks 200 meters to the east and then 150 meters to the north. What is the girl’s distance from the starting point? 350 m 250 m 300 m 225 m Answer: 250 m 162. If 2 sin²β – cos²β = 2, what is the value of β? 0° 90° 45° 30° Answer:

141. The mean of the first 12 natural numbers is: 1.56 6.6 6.5 65 Answer: 6.5 142. y is 7 years older than x, and 15 years ago, x’s age was 3/4 of y’s age. What is x’s current age? 36 years 43 years 21 years None of these Answer: 21 years 143. In a

121. If p(x) = x⁴ – 3x² + 4x + 5 is divided by x² – x + 1, what is the remainder? 3 5 6 8 Answer: 3 122. What is the area of the triangle with vertices A(1, -1), B(-4, 6), and C(-3, -5)? 24 square units 42 square units 0 None of