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Previous Year Question (PYQs)

Arrange the following prefix expressions based on their values in increasing order:


A. + - * 2 / 8 4 3 2

B. ↑ - * 3 3 * 4 2 5

C. + - ↑ 3 2 ↑ 2 3 / 6 - 4 2

D. * + 3 + 3 ↑ 3 + 1 1 3





Solution

Evaluate each prefix expression.

A:

      • 2 / 8 4 3 2
        = + - * 2 2 3 2
        = + - 4 3 2
        = + 1 2
        = 3

B:
↑ - * 3 3 * 4 2 5
= ↑ - 9 8 5
= ↑ 1 5
= 1

C:

    • ↑ 3 2 ↑ 2 3 / 6 - 4 2
      = + - 9 8 / 6 2
      = + 1 3
      = 4

D:

    • 3 + 3 ↑ 3 + 1 1 3
      = * + 3 + 3 9 3
      = * + 3 12 3
      = * 15 3
      = 45

Values:

A = 3
B = 1
C = 4
D = 45

Increasing order:

B < A < C < D



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