TCS Papers: Sample Questions 5 - 7 of 502

Examrace Placement Series prepares you for the toughest placement exams to top companies.

Question number: 5

» Aptitude

Short Answer Question▾

Write in Short

Find the value of M (363,5) + R (3.4) + T (7.8) – R (3.8) where M is modulus, R is round-off, T is truncate.

Explanation

  • M denotes modulus operation, R denotes round-off and T denotes truncation operation.
  • M (363,5): Dividing 363 by 5, remainder will be 3.
  • R (3.4): As 0.4 is less than 0.5, it will be rounded off to 3.
  • T (7.8): Removing fractional part, 7.8 will be truncated to 7.
  • R (3.8): As 0.8 is greater than 0.5, it will be rounded off to 4.
  • Given expression will be reduced to
  • So, value of the given expression will be 9.

Question number: 6

» Aptitude

Short Answer Question▾

Write in Short

Calculate the value of the 678 to the base 7.

Explanation

  • Here, the given number 678 is in decimal number.
  • We are asked to find its base 7 number.
  • To convert any decimal number into base – N number, we need to follow this procedure.
  • Dividing 678 by 7, quotient will be 96 and remainder will be 6
  • Dividing 96 by 7, quotient will be 13 and remainder will be 5
  • Dividing 13 by 7, quotient will be 1 and remainder will be 6
  • Dividing 1 by 7, quotient will be 0 and remainder will be 1
  • Reversing the order of remainders, we can get the base 7 equivalent number of decimal number 678.
  • Base 7 number of 678 is 1656

Question number: 7

» Aptitude

Short Answer Question▾

Write in Short

Ten years ago X was half of Y. If the ratio of their present ages is , what will be the total of their present ages?

Explanation

  • Let the present age of X is x years and Y is y years.
  • Before 10 years, X was half of Y, i. e.

  • Ratio of their present ages is , i. e.

  • Solving both the equations,

x = 15 and y = 20

  • We are asked to find the total of their present ages.
  • It will be,
  • Total of present ages of X and Y is 35 years.