Answer: B) 1/8 Explanation: 125 over 1000 in Simplest Form means 1251000 in its simple fraction form.   Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.   HCF of 125, 1000 = 125   Then, divide both numerator and denominator by 125 i.e, 1251251000125 = 18   Hence, 18 is the simplest form of 125 over 1000.

Answer: B) Plant ----> Animal ----> Atmosphere Explanation: During daylight hours, plants capture carbon dioxide from the atmosphere and use it to make carbohydrates which is stored as starch in the plant. Animals feed on the plants and extract the carbohydrates through their digestive system. The carbohydrates, namely glucose, are used by the animals for production of ATP through cellular respiration.   Cellar respiration in the animals produces carbon dioxide as a waste product. The carbon dioxide is released into the atmosphere, from where it is again captured by plants and the cycle is repeated.   Hence, option B) Plant ----> Animal ----> Atmosphere is the path possible in carbon cycle.

Answer: C) 13 Explanation: Given,  5sinx + 12cosx ≥ -r  ⇒13513sin x + 1213cos x ≥ -rcosx) ≥ -r  513= cosA => sinA =1213   => 13(sinx cosA + sinA cosx) ≥ -r   => 13(sin(x + A)) ≥ -r   we know that , -1 ≤ sin (angle) ≤ 1   => 13sin (x + A) ≥ -13 ⇒rmin =13