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. $3^3≡b(mod\, 9)$ I. 4
B. $2^5≡b(mod\, 15)$ II. 0
C. $4^3≡b(mod\, 10)$ III. 2
D. $5^3≡b(mod\, 12)$ IV. 5

Choose the correct answer from the options given below :

Options:

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

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

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

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

Correct Answer:

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

Explanation:

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

(A) $3^3≡b(mod\, 9)$ = remainder $\left(\frac{3^3}{9}\right)=0$ (II)

(B) $2^5≡b(mod\, 15)$ = $r(\frac{25}{15})=2$ (III)

(C) $4^3≡b(mod\, 10)$ = $r(\frac{64}{10})=4$ (I)

(D) $5^3≡b(mod\, 12)$ = $r(\frac{5^3}{12})=5$ (II)