QUES: There do exist orbits within these empty regions where objects can survive for the age of the Solar System. These resonances occur when Neptune's orbital period is a precise fraction of that of the object, such as 1:2, or 3:4. If, say, an object orbits the Sun once for every two Neptune orbits, it will only complete half an orbit by the time Neptune returns to its original position. The most heavily populated resonance in the Kuiper belt, with over 200 known objects, is the 2:3 resonance. Objects in this resonance complete 2 orbits for every 3 of Neptune, and are known as plutinos because the largest of the known Kuiper belt objects, Pluto, is among them. Although Pluto crosses Neptune's orbit regularly, the 2:3 resonance ensures they can never collide. The 3:4, 3:5, 4:7 and 2:5 resonances are less populated.
What is the fraction of the most heavily populated resonance in the Kuiper belt?

ANS: 2:3 resonance

QUES: In the late renaissance various writers began to question the medieval and classical understanding of knowledge acquisition in a more fundamental way. In political and historical writing Niccolo Machiavelli and his friend Francesco Guicciardini initiated a new realistic style of writing. Machiavelli in particular was scornful of writers on politics who judged everything in comparison to mental ideals and demanded that people should study the "effectual truth" instead. Their contemporary, Leonardo da Vinci (14521519) said, "If you find from your own experience that something is a fact and it contradicts what some authority has written down, then you must abandon the authority and base your reasoning on your own findings."
When was da Vinci born?

ANS: 1452

QUES: Another misunderstanding is that, by her immaculate conception, Mary did not need a saviour. When defining the dogma in Ineffabilis Deus, Pope Pius IX explicitly affirmed that Mary was redeemed in a manner more sublime. He stated that Mary, rather than being cleansed after sin, was completely prevented from contracting Original Sin in view of the foreseen merits of Jesus Christ, the Savior of the human race. In Luke 1:47, Mary proclaims: "My spirit has rejoiced in God my Saviour." This is referred to as Mary's pre-redemption by Christ. Since the Second Council of Orange against semi-pelagianism, the Catholic Church has taught that even had man never sinned in the Garden of Eden and was sinless, he would still require God's grace to remain sinless.
What did Mary supposedly not require that everyone else also required and why was this so ?

ANS: Another misunderstanding is that, by her immaculate conception, Mary did not need a saviour

QUES: Some 97 percent of male BYU graduates and 32 percent of female graduates took a hiatus from their undergraduate studies at one point to serve as LDS missionaries. In October 2012, the LDS Church announced at its general conference that young men could serve a mission after they turn 18 and have graduated from high school, rather than after age 19 under the old policy. Many young men would often attend a semester or two of higher education prior to beginning missionary service. This policy change will likely impact what has been the traditional incoming freshman class at BYU. Female students may now begin their missionary service anytime after turning 19, rather than age 21 under the previous policy. For males, a full-time mission is two years in length, and for females it lasts 18 months.
What did 97% of female BYU graduates do?

ANS:
unanswerable