CA CPT - Quantitative Aptitude - Inequalities

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Question - 1

In the inequation [x + 5|\(\ge \)|3x + 2|, the limit of x is

  • A -7/4\(\le \)x\(\le \)3/2
  • B x\(\ge \)3/2
  • C x\(\le \)3/2
  • D x\(\ge \)3/2 or x\(\le \)-7/4

Question - 2

If m < n and a < b, then

  • A m - a < n - b
  • B ma < nb
  • C m/a < n/b
  • D m + a < n + b

Question - 3

When x > 0, the value of |x| is

  • A 0
  • B -x
  • C x
  • D 1

Question - 4

If a < b and c < 0 then

  • A a/c < b/c
  • B a/c > b/c
  • C a/c = b/c
  • D a/c =0

Question - 5

The common region represented by the in equalities 2x + y ≥ 8, x + y≥12, 3 x + 2y≤34 is

  • A Unbounded
  • B In feasible
  • C Feasible and bounded
  • D Feasible and unbounded

Question - 6

Quartiles can be found through which graph?

  • A Ogive
  • B Histogram
  • C Frequency polygon
  • D Frequency curve

Question - 7

An employer recruits experienced (x) and fresh workmen (y) for his firm under the condition that he cannot employ more than 9 people. x and y can related by the inequality

  • A x + y≠ 9
  • B x+y\(\le \)9
  • C x+y\(\ge \)9
  • D None of these

Question - 8

The rules and regulations demand that the employer should employ not more than 5 experienced hands to 1 fresh one and this fact can be expressed as

  • A y≥x/5
  • B 5y≥x
  • C Both (a) and (b)
  • D 5y≤x

Question - 9

The union however forbids him to employ less than 2 experienced persons to each fresh person. This situation can be expressed as

  • A x\(\le \)y/2
  • B y\(\le \)y/2
  • C x\(\ge \)2y
  • D Both (b) and (c)

Question - 10

The union forbids the employer to employ less than 2 experienced persons (x) to each fresh person (y). This situation can be expressed as

  • A x\(\le \)y/2
  • B y\(\le \)y/2
  • C y\(\ge \)y/2
  • D None