Quant Boosters  Kamal Lohia  Set 8

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q4) A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the cost price were his wares listed? [CAT1994]
a. 100%
b. 80%
c. 75%
d. 66.66%

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q5) The price of sugar increases by 32%. A family reduces its consumption so that the expenditure of the sugar is up by 10% only. If the total consumption of sugar before the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is
a. 8.33
b. 8.5
c. 8.75
d. 9

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q6) A group of worker was put on a job. From the second day onward, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. If no worker was withdrawn at any stage, the group would have finished the work in twothird time. How many worker were there in the group?
a. 2
b. 3
c. 5
d. 10
e. None of these

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q7) The price of a car rises by 30% while the sales come down by 20%. What is the percent change in total revenue? [CAT1996]
a. 4
b. 2
c. +4
d. +2

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q8) A is 50% as efficient as B. C does half the work done by A & B together. If C alone does the work in 40 days, then in how many days will A alone can do the work?
a. 30 days
b. 40 days
c. 45 days
d. 50 days
e. 60 days

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q9) A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
a. 12 days
b. 15 days
c. 16 days
d. 18 days

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q10) 2/5 of voters promise to vote for P and the rest promised to vote for Q. Of these, 15% of the voters went back of their promise to vote for P and 25% of the voters went back of their promise to vote for Q and P lost by 2 votes. Then total number of voters is
a. 100
b. 110
c. 90
d. 95

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q11) A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
a. Rs. 375
b. Rs. 400
c. Rs. 600
d. Rs. 800

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q12) The rate of inflation was 1000%. Then what will be the cost of an article, which cots 6 units of currency now, two years from now? [CAT1995]
a. 666
b. 660
c. 720
d. 726

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q13) A student took five papers in an examination, where the full marks were same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is [CAT2001]
a. 2
b. 3
c. 4
d. 5

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q14) I bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what I paid. What percent of the total paid by me was for pens? [CAT1996]
a. 37.5%
b. 62.5%
c. 50%
d. None of these

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q15) Given the equation (5/2)x  b = (8/5)x + 142, find the smallest positive integer b such that the solution x is a positive integer.

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q16) Solve for x if (x  a  b)/c + (x  b  c)/a + (x  c  a)/b = 3 and ab + bc + ca ≠ 0.

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q17) Find the condition for 'a' such that equation ax  2y  3 + 5x + 9 = 0 has the solution (x, y) where x, y have same sign

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q18) Find the number of positive integer solutions of the equation 123x + 57y = 531.

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q19) Find all x which satisfy the equation x^4  12x^3 + 47x^2  60x = 0.

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q20) Given x  2 < 3, solve the equation x + 1 + x  3 + x  5 = 8.

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q21) Find real x such that xx  3x  4 = 0

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q22) For how many integers (m, n) whose absolute value is less than 7, the system of equations 3x + my  5 = 0 and x + ny  4 = 0 has no solution?

kamal_lohia last edited by kamal_lohia
Faculty and Content Developer at Tathagat  Delhi College of Engineering
Q23) Assume the equation 2x² + x + a = 0 has the solution set A, and the equation 2x² + bx + 2 = 0 has the solution set B, and A ⋂ B = {1/2}, find A ⋃ B