Number Tips


-> For three positive numbers a, b ,c
(a+b+c) * (1/a+1/b+1/c)>=9

-> For any positive integer n
2<= (1+1/n)^n <=3

-> The greatest common divisor is found by looking at the prime factorizations or using the Euclidean algorithm.

-> The least common multiple of a and b is found by looking at the prime factorizations or (ab)/gcd(a,b).

-> Two numbers are said to be relatively prime in the greatest common factor is 1.

-> If gcd(a, b)=d, then there exist integers x and y so that ax+by=d.

-> If d divides both a and b, then d divides a+b and d divides a-b.a=b mod m iff m divides a-b iff a and b both have the same remainder when divided by m.

-> ap-1 = 1 mod p (a is not a multiple of p)af(m)=1 mod m ( gcd(a, m) =1)

-> If a probability experiment is repeated n times and the probability of success in one trial is p, then the probability of exactly r successes in the n trials is nCr (p)r(1-p)(n-r).

-> The number of zeros at the end of n! is determined by the number of 5’s. To find this you do the following process: n/5 = n1 and some remainder. Drop the remainder and compute n1/5 = n2 plus some remainder. Drop the remainder and compute n2/5 = n3 plus some remainder, etc. The number of zeros is n1+n2+n3+n4...

-> The sum of any consecutive integers k through n, with n being the larger,simply use this equation:(n+k)(n-k+1)------------ 2

-> a^2+b^2+c^2 >= ab+bc+ca If a=b=c , then the equality holds in the above. -> a^4+b^4+c^4+d^4 >=4abcd

-> (n!)^2 > n^n (! for factorial)

-> If a+b+c+d=constant , then the product a^p * b^q * c^r * d^s will be maximum if a/p = b/q = c/r = d/s .

-> Consider the two equations a1x+b1y=c1 a2x+b2y=c2

-> (m+n)! is divisible by m! * n! .Then , If a1/a2 = b1/b2 = c1/c2 , then we have infinite solutions for these equations. If a1/a2 = b1/b2 <> c1/c2 , then we have no solution for these equations.(<> means not equal to ) If a1/a2 <> b1/b2 , then we have a unique solutions for these equations..

-> When a three digit number is reversed and the difference of these two numbers is taken , the middle number is always 9 and the sum of the other two numbers is always 9 .

-> Let 'x' be certain base in which the representation of a number is 'abcd' , then the decimal value of this number is a*x^3 + b*x^2 + c*x + d

General Awareness Test 2017

Total Time allotted for Test = 40 Minutes, Timer : 00:00

General Awareness Test 2017 for MBA Exams like XAT

General Awareness 2017 - Questions 1 - 60

3 Marks for each right answer and -1 Mark for each wrong answer.
Total Marks = 180

Q1. 'The Great Indian Novel' is a book written by:

Q2. In which year was the 'All India Radio' set up?

Q3. Who wrote the line: ' A thing of beauty is a joy forever'?

Q4. Entomology is the science that studies ?

Q5. Who is the current CEO & MD of Infosys?

Q6. Periyar Tiger Reserve is located in which state?

Q7. Capital of Australia is:

Q8. How many Gold Medals did India win in 2014 Commonwealth game?

Q9. Which country hosted 2016 Olympics?

Q10. Who among the following has become the first Indian to be honoured with Harvard Medal?

Q11. The total cost of the India's Mars Orbitor Mission is:

Q12. Who is the going to be the new chief justice of India from 4th January 2017?

Q13. How much was India's Growth Rate in 2015-16?

Q14. If the cash reserve ratio is lowered by the RBI, its impact on credit creation will be to

Q15. Excise duty is a tax levied on the

Q16. Who among the following has been appointed the National Security Advisor (NSA) to the Prime Minister of India?

Q17. Which of the following technology firms unveiled a prototype driverless car, recently?

Q18. Finance Commission is constituted every:

Q19. Census of India is conducted every ____ Years and lastly it was done in ____

Q20. Which film won the best picture Oscar award in 2016:

Q21. Who is current President of world bank:

Q22. Who is the present CEO of Apple?

Q23. The state which has the highest sugarcane production in India is

Q24. The mineral in which India depends largely on imports is

Q25. Indian general election of 2014 was held to constitute the 16th Lok Sabha, electing members of parliament for parliament. How many total constituencies / seats are there in current Lok Sabha?

Q26. Telangana is ___ state of India and its Capital is ____

Q27. Who is current Director-General of WTO

Q28. Which company acquired online fashion portal Myntra.Com in 2014

Q29. Who won 2016 nobel prize for Peace?

Q30. Who among the following has been named as the TIME magazine Person of the Year 2016?

Q31. Which Indian village has recently earned the tag of becoming India’s first digital village in India?

Q32. Who was recently elected as the President of FICCI for the year 2017?

Q33. Name the Indian states that have jointly topped the Ease of Doing Business Reforms Ranking 2015-16??

Q34. Who was recently selected by the UN Security Council as the next UN Secretary-General?

Q35. Which country has topped the Global Competitiveness Index, GCI 2016-17 released in September 2016.?

Q36. Who is appointed as the Chairman of Life Insurance Corporation (LIC) of India?

Q37. Which stock exchange became the first Indian stock exchange to file Initial Public Offering with SEBI?

Q38. Which of the following Indian Actress has been ranked 10th in the world in the list of “Forbes magazine”?

Q39. Who is recently appointed as the Managing Director of the State Bank of India?

Q40. Which company has acquired Yahoo for $4.8 billion in July 2016?

Q41. Who has been elected as the Chairman of the International Chamber of Commerce (ICC)?

Q42. Who has been elected and appointed as the new President of Taiwan?

Q43. Who has been declared as the new Chief Minister of Assam?

Q44. Which is the 1st country of the world to put a ban on Deforestation?

Q45. Who among the following headed the 7th Pay Commission?

Q46. Who of the following was not selected for 2016 Rajiv Gandhi Khel Ratna?

Q47. Who was sworn in as President of Brazil in August 2016?

Q48. Majuli recently became the first island district of India. Majuli is located in which of the following states?

Q49. Who among the following has topped the Forbes 2016 list for “World's Most Powerful People”?

Q50. When is Constitution Day celebrated in India to spread awareness about Indian Constitution?

Q51. Who is the author of the book titled “An Era of Darkness: The British Empire in India” that was recently released by released by the Vice President of India M. Hamid Ansari

Q52. Who among the following is appointed as CEO of the World Bank?

Q53. Who among the following won the 2016 Nobel Prize in Literature?

Q54. Who of the following will be the Chief Guest at the Republic Day celebrations on 26 January 2017?

Q55. Who was recently sworn in as the Governor of Punjab?

Q56. Which Indian state has recently abolished Agricultural Income Tax?

Q57. Which state celebrated the bicentenary (200 years) of the 1817 Paika revolt against the British Empire in 2016?

Q58. Which Indian para-athlete recently became the first Indian to win two gold medals at the Paralympics?

Q59. Name the film that has been selected as India's entry to the 89th Academy Awards (Oscars) to be held in 2017 in the Foreign Language Film category.

Q60. Which movie won the Best Film Award at the first BRICS Film Festival that recently concluded in New Delhi?