Questions

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement".

In fact, (be) among so many happy people can automatically cheer you up.

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.

Another major difference

X-seven planets around the star
Y-system is the tight packing of the
Z-in comparison with the solar

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

under the weather

A passage is given with five questions following it. Read the passage carefully and select the best answer to each question out of the given four alternatives.

The saddest part of life lies not in the act of dying, but in failing to truly live while we are alive. Too many of us play small with our lives, never letting the fullness of our humanity see the light of day. I’ve learned that what really counts in life, in the end, is not how many toys we have collected or how much money we’ve accumulated, but how many of our talents we have liberated and used for a purpose that adds value to this world. What truly matters most are the lives we have touched and the legacy that we have left. Tolstoy put it so well when he wrote: “We live for ourselves only when we live for others.” It took me forty years to discover this simple point of wisdom.

Forty long years to discover that success cannot really be pursued. Success ensues and flows into your life as the unintended yet inevitable byproduct of a life spent enriching the lives of other people. When you shift your daily focus from a compulsion to survive towards a lifelong commitment to serve, your existence cannot help but explode into success. I still can’t believe that I had to wait until the “half-time” of my life to figure out that true fulfillment as a human being comes not from achieving those grand gestures that put us on the front pages of the newspapers and business magazines, but instead from those basic and incremental acts of decency that each one of us has the privilege to practice each and every day if we simply make the choice to do so.

Mother Teresa, a great leader of human hearts if ever there was one, said it best: “There are no great acts, only small acts done with great love.” I learned this the hard way in my life. Until recently, I had been so busy striving, I had missed out on living. I was so busy chasing life’s big pleasures that I had missed out on the little ones, those micro joys that weave themselves in and out of our lives on a daily basis but often go unnoticed. My days were overscheduled, my mind was overworked and my spirit was underfed.

According to the passage, what took Tolstoy forty years to discover?

A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives.

I had seen this road many years ago when my parents moved to Mundakotukurussi, our ancestral village. However, in those early years, I hadn't begun exploring the countryside. I stored the unknown road in my head under 'One Day I Will'. Ten years ago, when I recovered from a herniated disc, it was to discover that I had a useless left leg. Though I managed to lose the limp, I hated not being able to stride around as I used to. I needed a challenge to tell myself that I wasn't going to buckle to a creature called sciatica. Thus the 'One Day I Will' arrived. "Where does the road by the medical shop lead to?" I asked my parents while visiting them next. "Chalavara," they said. "It's not an easy road to walk on," my father added. "There are too many ups and downs." Chalavara was a superior grade of a village as compared to Mundakotukurussi, with a high school, a fine library, ATMs and several shops. But it also has two approach roads. The one I had chosen was a narrow back road used by the locals and that settled it for me. I needed to know for myself I could walk a road that wasn't going to be easy. And the next day, I would get up and walk that road again.

What disability did the writer suffer due to the herniated disc?

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

A brain and nervous system that are poorly developed or insufficiently nourished means low grade of ______________ in our mental processes, just as a poorly constructed or wrongly adjusted motor means loss of power in applying the electric current to its work. We will, __________, look upon the mind and the brain as counterparts of ___________ other, each performing activities which correspond to activities in the other, ________ inextricably bound together at least so far as this life is concerned, and each getting its _______________ by its union with the other. This view will lend interest to a brief study of the brain and nervous system.

each getting its _______________ by its union with

The SI unit of acceleration is __________.