Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

Match List-I with List-II

List-I List-II
A Units digit of 11! I 1
B Units digit of $(5)^{500}$ II 0
C Units digit of $(99)^{99}$ III 5
D Units digit of $(3)^{300}$ IV 9

Choose the correct answer from the options given below :

Options:

A-II, B-III, C-I, D-IV

A-II, B-III, C-IV, D-I

A-IV, B-II, C-I, D-III

A-III, B-II, C-IV, D-I

Correct Answer:

A-II, B-III, C-IV, D-I

Explanation:

The correct answer is Option (2) → A-II, B-III, C-IV, D-I

$11!=(11×9×8×7×6×5×4×3×2)×10$

⇒ Unit digit = 0

$5^{500}=(5^2)^{250}=(25)^{250}$

⇒ Unit digit = 5

$(99)^{99}⇒((99)^2)^{48}.99$

⇒ Unit digit = 9

$(3)^{300}=(3^4)^{75}$

⇒ Unit digit = 1