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
Answer: 2b
202. When four coins are tossed, the probability that none of them show heads is
Answer: 1/16
203. If (n² – 1) is divisible by 8, then ‘n’ is
Answer: Odd integer
204. A cube with a side of 4 cm is cut into smaller cubes, each having a side length of 1 cm. The ratio of the surface area of all the smaller cubes to the surface area of the large cube is
Answer: 4:1
205. A well with a diameter of 7 m and a depth of 20 m has been dug. The earth removed from the well is used to construct a platform of size 22 m × 14 m. The height of the platform is
Answer: 2.5 m
206. If 92 is replaced by 99 and 41 is replaced by 43, then the median of the observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33 is
Answer: 58
207. If a line passes through (3, 2) and has the equation 3x – ky = 5, then the value of ‘k’ is
Answer: 2
208. The rational factor of abⁿ√a/b is
Answer: ⁿ√aⁿ⁻¹/bⁿ⁻¹
209. The length of the tangent drawn from point Q to a circle is 8 cm, and the distance from the center to Q is 10 cm. The radius of the circle is
Answer: 6 cm
210. If m and n are the roots of the quadratic equation x² + px + 8 = 0 and m-n = 2, then the value of ‘p’ is
Answer: ±6
211. The sum of the numerator and denominator of a fraction is 7. Four times the numerator is 8 less than five times the denominator. What is the fraction?
Answer: 3/4
212. In the figure shown below, if ΔPQR ~ ΔPST and the perimeter of ΔPQR : perimeter of ΔPST = 3:4, then the area of ΔPST : area of ΔPQR is
Answer: 16:9
213. In a room, each person shakes hands with every other person. The total number of handshakes is 45. How many people are there in the room?
Answer: 10
214. If x(x – 2) = 1, then the value of x² + 1/x² is
Answer: 6
215. The value of tan 7° tan 23° tan 39° tan 60° tan 51° tan 67° tan 83° is
Answer: √3
216. If one root of the equation x² + ax + b = 0 is one-third of the other, then the correct relation between a and b is
Answer: 3a² = 16b
217. The area of the triangle formed by the points (a, b+c), (b, c+a), (c, a+b) is
Answer: 0
218. If y = m + m² + m³ + ….∞, where |m| < 1, then the value of 'm' is
Answer: y/(1+y)
219. In the figure, the center of a semicircle is point O. If AB = 8 cm, then the area of ΔABP is
Answer: 4√3 cm²
220. A partially broken tree touches the ground at a distance of 10 m from its base and forms an angle of 30° with the ground. What is the length of the tree?
Answer: 10/√3 m