Practice Test

Q1) The person having the largest Erdos number at the end of the conference must have had an Erdos number (at that time) : Show Answer

Q2) How many participants in the conference did not change their Erdos number during the conference? Show Answer

Q3) The Erdos number of C at the end of the conference was : Show Answer

Q4) The Erdos number of E at the beginning of the conference was : Show Answer

Q5) How many participants had the same Erdos number at the beginning of the conference ? Show Answer

Q6) If Chetan sold 10 shares of MCS of three consecutive days, while Michael sold 10 shares only once during the five days, what was the price of MCS at the end of day 3 ? Show Answer

Q7) If Michael ended up with Rs.100 less cash than Chetan at the end of day 5, what was the difference in the number of shares possessed by Michael and Chetan (at the end of day 5) ? Show Answer

Q8) If Chetan ended up with Rs.1,300 more cash than Michael at the end of day 5, what was the price of MCS share at the end of day 4 ? Show Answer

Q9) What could have been the maximum possible increase in combined cash balance of Chetan and Michael at the end of the fifth day ? Show Answer

Q10) If Michael ended up with 20 more shares than Chetan at the end of day 5, what was the price of the share at the end of day 3 ? Show Answer

Q11) If the government want to ensure that all motorists travelling from S to T pay the same amount (fuel costs and toll combined) regardless of the route they choose and the street from B to C is under repairs (and hence unusable), then a feasible set of toll charged (in rupees) at junctions A, B, C and D respectively to achieve this goal is : Show Answer

Q12) If the government wants to ensure that no traffic flows on the street from D to T, while equal amount of traffic flows through junctions A and C, then a feasible set of toll charged (in rupees) at junctions A, B, C, and D respectively to achieve this goal as : Show Answer

Q13) If the government wants to ensure that all routes from S to T get the same amount of traffic, then a feasible set of toll charged (in rupees) at junctions A, B, C and D respectively to achieve this goal as : Show Answer

Q14) If the government wants to ensure that the traffic at S gets evenly distributed along streets from S to A, from S to B, and from S to D, then a feasible set of toll charged (in rupees) at junctions A, B, C and D respectively to achieve this goal as : Show Answer

Q15) The government wants to devise a toll policy such that the total cost to the commuters per trip is minimised. The policy should also ensure that not more than 70 per cent of the total traffic passes through junction B. The cost incurred by the commuter travelling from point S to point T under this policy will be : Show Answer

Q16) What could be the size of a team that includes K ? Show Answer

Q17) In how many ways a team can be constituted so that the team includes N ? Show Answer

Q18) What would be the size of the largest possible team ? Show Answer

Q19) Who can be a member of a team of size 5 ? Show Answer

Q20) Who cannot be a member of a team of size 3 ? Show Answer

Q21) 1. So much of our day-to-day focus seems to be on getting things done, trudging our way through the tasks of living; it can feel like a treadmill that gets you nowhere; where is the childlike joy ?
2. We are not doing the things that make us happy; that which brings us joy; the things that we cannot wait to do because we enjoy them so much.
3. This is the stuff that joyful living is made of identifying your calling and committing yourself wholeheartedly to it.
4. When this happens, each moment becomes a celebration of you; there is a rush of energy that comes with feeling completely immersed in doing what you love most. Show Answer

Q22) 1. Given the poor quality of service in the public sector, the HIV / AIDS affected should be switching to private initiatives that supply antiretroviral drugs (ARVs) at a low cost.
2. The government has been supplying free drugs since 2004, and up to now 35,000 have benefited, though the size of the affected population is 150 times this number.
3. The recent initiatives of networks and companies like AIDS Care Network, Emcure, Reliance-Cipla-CII, would lead to availability of much-needed drugs to a larger number of affected people.
4. But how ironic it is that we should face a perennial shortage of drugs when India is one of the world's largest suppliers of generic drugs to the developing world. Show Answer

Q23) 1. According to all statistical indications, the Sarva Shiksha Abhiyan has managed to keep pace with its ambitious goals.
2. The Mid-day Meal Scheme has been a significant incentive for the poor to send their little ones to school, thus establishing the vital link between healthy bodies and healthy minds.
3. Only about 13 million children in the age group of 6 to14 years are out of school.
4. The goal of universalisation of elementary education has to be a pre-requisite for the evolution and development of our country. Show Answer

Q24) 1. We should not be hopelessly addicted to an erroneous belief that corruption in India is caused by the crookedness of Indians.
2. The truth is that we have more red tape_ we take eighty-nine days to start a small business, Australians take two.
3. Red tape leads to corruption and distorts people's character.
4. Every red tape procedure is a point of contact with an official, and such contacts have the potential to become opportunities for money to change hands. Show Answer

Q25) 1. Inequitable distribution of all kinds of resources is certainly one of the strongest and most sinister sources of conflict.
2. Even without war, we know that conflicts continue to trouble us - they only change in character.
3. Extensive disarmament is the only insurance for our future ; imagine the amount of resources that can be released and redeployed.
4. The economies of the industrialised western world derive 20% of their income from the sale of all kinds of arms. Show Answer