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. The value of (1129 + 937)(mod 11) 

 I. 5

 B. The value of (1129 - 937)(mod 11) 

 II. 6

 C. Value of (1129 × 937)(mod 11) 

 III. 9

 D. Last digit of (12)12 is

 IV. 3

Choose the correct answer from the options given below:

Options:

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

A - III, B - I, C - II, D - IV

A - III, B - II, C - I, D - IV

A - IV, B - I, C - III, D - II

Correct Answer:

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

Explanation:

The correct answer is Option (1) → A - III, B - I, C - IV, D - II

$\text{(A)}\; (1129+937)\mod 11$

$1129\equiv 7,\;\; 937\equiv 2 \Rightarrow 7+2=9 \Rightarrow \text{(III)}$

$\text{(B)}\; (1129-937)\mod 11$

$7-2=5 \Rightarrow \text{(I)}$

$\text{(C)}\; (1129\times 937)\mod 11$

$7\times 2=14\equiv 3 \Rightarrow \text{(IV)}$

$\text{(D)}\; \text{Last digit of } (12)^{12}$

$2^{12}\Rightarrow \text{cycle } 2,4,8,6 \Rightarrow 12\mod 4=0 \Rightarrow 6 \Rightarrow \text{(II)}$

A–III,\; B–I,\; C–IV,\; D–II