Exams

The sentences given with blanks are to be filled with an appropriate word(s). Four alternatives are suggested for each question. For each question, choose the correct alternative and click the button corresponding to it.

Food was packed, and they__________, a merry, delighted party.

A can do a work in 36 days and B in 12 days. If they work on it together for 3 days, then what fraction of work is left?

ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?

In how many years will Rs 2,000 yield Rs 662 as compound interest at 10% per annum compounded annually?

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.

What according to the passage is success?

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the mid points of the sides PQ and PR respectively. What is the area (in sq.cm) of the shaded region?

Read the passage carefully and select the best answer to each question out of the given four alternatives.

It was for long the insurmountable peak for ODI batting, but one man might now have a template to score ODI double-centuries again and again. In Bengaluru, against Australia in 2013, Rohit Sharma reached 20 off 35th ball, 50 off the 71st, and the hundred in the 38th over of the innings. In Kolkata, against Sri Lanka in 2014, he was nearly caught for 4 off the 17th ball he faced, reached his 20th run off the 35th ball, but accelerated slightly earlier to bring up his century in the 32nd over of the innings. On a cold mid-week afternoon in Mohali this season, he was even slower to start, reaching 20 off 37 balls, 50 off 65 balls, and bringing up the hundred only in the 40th over. All three were ODI doubles. One time can be a charm, but to accelerate so crazily three times after having set up the innings and to make it look predictable is a perfect combination of skill, fitness and the right mental approach to ODI batting. You can be all amazed at how he manages to do it, but Rohit's reaction to it is typically relaxed. "That's my template, no?" he tends to ask. He remembers the innings clearly: reaching "50 off 70 balls", bringing up the hundred "near the 40th over", and then knowing that the bowlers can't get him out unless he makes a mistake. "That is my style of play," Rohit said. "You are set and seeing the ball nice and hard and you have understood what the bowlers are trying to do by then, and it's all about trying to play with the field once you get past 100. It's all about you not making a mistake and getting out. I am not saying it's impossible or difficult, but it's very unlikely the bowlers are going to get you out once you have scored a hundred. "So it was all about me not making a mistake and batting as long as possible. That's what I did. There is no secret or formula to it. You just have to bat and not make any mistake. The ground is good, the pitch is nice and hard, so you can trust the bounce and play the shots."

Rohit Sharma hit century in which over in Kolkata match against Sri Lanka?

If 3x - 10 = -(2x + 5), then the numerical value of (x - 4)3 is