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eLitmus Sample Papers with Answers :: eLitmus Aptitude Test Paper

  1. Given that -1 ≤ v ≤ 1, -2 ≤ u ≤ -0.5, and -2 ≤ z ≤ -0.5 and w = vz/u, then which of the following is necessarily true?
  2. A.
    -0.5 ≤ w ≤ -2
    B.
    -4 ≤ w ≤ 4
    C.
    -4 ≤ w ≤ 2
    D.
    -2 ≤ w ≤ -0.5

  3. A can complete a piece of work in 4 days. B takes double the time taken by A, C takes double that of B, and D takes double that of C to complete the same task. They are paired in groups of two each. One pair takes two-thirds the time needed by the second pair to complete the work. Which is the first pair?
  4. A.
    A and B
    B.
    A and C
    C.
    B and C
    D.
    A and D

  5. Two men X and Y started working for a certain company at similar jobs on January 1, 1950. X asked for an initial salary of Rs. 300 with an annual increment of Rs. 30. Y asked for an initial salary of Rs. 200 with a rise of Rs. 15 every 6 months. Assume that the arrangements remained unaltered till December 31, 1959. Salary is paid on the last day of the month. What is the total amount paid to them as salary during the period?
  6. A.
    Rs. 93,300
    B.
    Rs. 93,200
    C.
    Rs. 93,100
    D.
    None of these

  7. A rectangular sheet of paper, when halved by folding it at the midpoint of its longer side, results in a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the smaller rectangle?
  8. A.
    4√2
    B.
    2√2
    C.
    √2
    D.
    None of the above

  9. Let A be a natural number consisting only 1. B is another natural number which is equal to quotient when A is divided by 13. C is yet another natural number equal to the quotient when B is divided by 7. Find B-C.
  10. A.
    7236
    B.
    7362
    C.
    7326
    D.
    None of these

  11. Let f : R ? R be a function defined by f(x) = max. {x, x3}. The set of all points where f(x) is not differentiable is
  12. A.
    {-1, 1}
    B.
    {-1, 0}
    C.
    {0, 1}
    D.
    {-1, 0, 1}

  13. A biker notices a certain number(2 digits number) on the milestone before starting the journey. After riding for an hour he notices a milestone with reversed digits of the previous number. Now after riding for another hour he notices that the number on a new milestone had same digits as the first one (in the same order) but with a "0" between the 2 digits. If the rider maintains a constant speed throughout, Calculate his speed.
  14. A.
    45 kmph
    B.
    50 kmph
    C.
    35 kmph
    D.
    None of these

  15. PT Usha and Shelly John decide to run a marathon between Ramnagar and Jamnagar. Both start from Ramnagar at 1 pm. On the way are two towns Ramgarh and Rampur, separated by a distance of 15 km. PT Usha reaches Ramgarh in 90 minutes running at a constant speed of 40 kmph. She takes additional 30 minutes to reach Rampur. Between Rampur and Jamnagar she maintains an average speed of V kmph (where V is a whole number),Shelly John being a professional marathon runner, maintains a constant speed of 18 kmph. They both reach Jamnagar together after 'n' hours, 'n' being a whole number. What could be total time taken by PT Usha?
  16. A.
    5 hours
    B.
    15 hours
    C.
    41 hours
    D.
    All of the above

  17. If 1/a + 1/b + 1/c = 1 / (a + b + c); where a + b + c 1 0; abc 1 0, then what is the value of ( a + b ) ( b + c ) ( c + a )?
  18. A.
    Equal to 0
    B.
    Greater than 0
    C.
    Less than 0
    D.
    Cannot be determined

  19. Find the number of ways you can fill a 3 x 3 grid (with 4 corners defined as a, b, c, d), if you have 3 white marbles and 6 black marbles.
  20. A.
    75
    B.
    84
    C.
    80
    D.
    None of these