CAT4MBA

Q1. In an election contested by two candidates, 9450 votes were polled, out of which 225 were invalid. Votes in favour of the loser were 80% of the votes in favour of the winner. By how many votes did the winner win?

Q2. The wordlists for MBA entrance contain an average of 30 words per list and there exist 100 such lists. Arati starts cramming one list per day, but unfortunately she forgets 10% of it after every 25 days. The total number of words she can recall just when she finishes the last list is
a. 2625               
b. 2550
c. 2085
d. 2750

Q3. If 75% of a class of 40 students can sing and only 20% cannot dance, the maximum number of students who can neither sing nor dance is
a. 0                     b. 6                  c. 18                       d. None

 
Q4. D is a positive integer which when added to the numerator and denominator of 2/3 will result in a fraction nearest to 13/15. How many factors of D are there?
a. 5                   b. 4                     c. 2                      d. 3

Q5. A big cube is formed by arranging 160 colored and 56 non-colored similar cubes in such a way that the exposure of the colored cubes to the out side is minimum. The percentage of exposed area that is colored is
a. 25.9%             b. 44.44%                c. 35%                d. None

Q6. In an examination a candidate got 30% marks and failed by 30 marks. If the passing marks are 60% of the total marks, then the maximum marks will be :
a. 450                  b. 600                 c. 300                   d. 100

Q7. 60% of the students of a class are boys and in an examination, 80% of the girls scored more than 40 marks (out of a maximum possible 150 marks). If 60% of the total students scored more than 40 marks in the examination, find fraction of boys who scored 40 marks or less.
a. 8/15              b. 7/15                c. 4/ 5                      d. 1/5

Q9. An index of 12 shares contains, among others, the share of reliance, hll and infosys with weightage of 7%, 13% and 15% respectively. What is the increase in the prices of other shares, if these three rise by 9%, 10% and 4% respectively, while the index rises by 6%?
a. 5.34%           b. 4.91%               c. 4.58%               d. None

Q10. In ABC Company 60% of the employees are men and 48% of the employees are engineer and 66.6% of these are men. The percentage of women who are engineers:
a. 33.33%             b. 60%              c. 52%                 d. 46.6%

Q11. A number x is mistakenly divided by 20 instead of being multiplied by 20. What is the percentage error in the result?

Q12.  A’s income is 75% of B’s income. And A’s expenditure is 80% of B’s expenditure.
If A’s income is 90% of B’s expenditure then the ratio of B’s savings to A’s savings is
a. 1:2            b. 2:1              c. 4:1                   d. 3:2

Q13. In an examination 57% of the candidates passed in science, 63% passed in mathematics and 31% failed in both the subjects. What is the pass percentage?
a. 51%            b. 54%             c. 49%                      d. 69%

Q14. Each edge of a cube is increased by 1/5 of the original size, the increase in surface area of the cube is:
a. 144%                 b. 40%                   c. 44%                  d. 72.8%