Answer: C) cosx Explanation:   Thus, the derivative of sinx by first principle is cosx.

Photoautotrophs are those organisms that can make their own food using sun light with the help of the process of photosynthesis. Plants can prepare their own food using sunlight. Hence they are Photoautotrophs.

The development in arts and letters known as the Renaissance(rebirth) was a revived interest in classical learning and culture in the 1300's and the 1400's in Italy, but later spread to other parts of Europe. The Renaissance involved new thought because it was a secular movement. During the feudal period, the Catholic Church was the center of learning; in fact, the medieval scholar had been concerned with the harnessing of reason in the defense and service of religion. But, with the end of feudalism and increased trading outside of Europe, new ideas emerged and the Renaissance scholar became more concerned with the secular side of things. Furthermore, poets and philosophers concerned themselves with the natural world, rather than theology. One reason for the scholarship in Italy is the fact that Greek scholars emigrated to Italy after the invasion of the Ottoman Turks who captured Constantinople. These scholars brought with them classical texts and manuscripts, which helped to revive interest in classical learning and arts. Along with the Greek scholars, Italian scholar Petrarch is felt to be a major impetus to the rebirth of culture and learning. Having a passionate interest in the rediscovery of lost Roman manuscripts and a strong belief in the power of ancient thought to civilize, his ideas certainly complemented those who valued classical learning.

Answer: D) Refraction of light & Total Internal Reflection of light Explanation: A Mirage is a naturally occurring optical phenomenon in which light rays bend to produce a displaced image of distant objects or the sky. It is caused due to Total internal Reflection. It is an optical illusion observed in deserts or hot summer days due to which a person sees a pond of water some distance ahead of him in which the surrounding objects appear inverted. How Mirage Forms:: 1. The temperature of other layers of atmosphere goes on decreasing as we go up.2. Therefore density and refractive index of air changes as one goes up.3. Thus a ray of light,gets refracted more and more away from the normal.4. At a particular angle when a ray of light exceeds critical angle, total internal reflection takes place and ray of light gets reflected in the same medium.5. when the reflected ray reaches our eye, it appears as coming from tree or sky .6. Hence the inverted image of tree creates an impression from a pond of water.

Answer: C) 71 Explanation: To find the greatest number which divides the numbers 964, 1238 and 1400 leaving the remainders 41, 31 and 51 is nothing but the HCF of (964 - 41), (1238 - 31), (1400 - 51). Therefore, HCF of 923, 1207 and 1349 is 71.

Answer: B) 50540 Explanation: Given G + B= 41 and B = G-1 Hence, G = 21 and B = 20Now we have 2 options, 1G and 3M (or) 3G and 1M(2G and 2M or 0G and 4M or 4G and oM are not allowed),   Total : C121×C320+C321×C120= 50540 ways.

Answer: A) 84 km/hr Explanation: Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.Also, 6x = 72 => x = 12 km/hrTherefore, the average speed of the car and train together is = 5x+9x2= 7x = 7 x 12 = 84 km/hr.

Answer: D) All the above Explanation: In short, Democracy is a government "of the people, by the people, and for the people."   Definition : Democracy "is government by the people in which the supreme power is vested in the people and exercised directly by them or by their elected agents under a free electoral system."  The conditions of a democratic election are:   * Every citizen should have one vote ad every vote should have an equal value. * Voters choose from the political parties and candidates should be free to contest elections giving the voters a real choice. * Elections should be held at regular intervals. * The candidate preferred by the people should get elected. * Elections should be conducted in free and fair manner where people can choose as they really wish.