Quant Boosters - Kamal Lohia - Set 8


  • 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


  • 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


  • 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


  • 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


  • 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


  • 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


  • 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


  • 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


  • 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.


  • 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.


  • 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


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q18) Find the number of positive integer solutions of the equation 123x + 57y = 531.


  • 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.


  • 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.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q21) Find real x such that x|x| - 3|x| - 4 = 0


  • 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?


  • 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


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q24) Find real valued solutions (x, y, z) for the equation √(x) + √(y - 1) + √(z - 2) = (x + y + z)/2.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q25) Solve the equation (x + 1)/(x + 4) - (x + 4)/(x + 1) + (x + 1)/(x - 2) - (x - 2)/(x + 1) = 2/3.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q26) If the equation x² - 2x - 4y = 5 has real valued solutions, find the maximum value of x - 2y.


 

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