Quantitative Reasoning

Number System

Medium

Match the LIST-I with LIST-II

LIST-I (Number) LIST-II (Unit digit of the number)
A. $4^{425}$ I. 6
B. $4^{1024}$ II. 4
C. $133^{63} \times 4^{49}$ III. 3
D. $3^{81}$ IV. 8

Choose the correct answer from the options given below:

LIST-I (Number)	LIST-II (Unit digit of the number)
A. $4^{425}$	I. 6
B. $4^{1024}$	II. 4
C. $133^{63} \times 4^{49}$	III. 3
D. $3^{81}$	IV. 8

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

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

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

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

✅ Correct Option: 2

Powers of 4 end in 4 for odd exponents and 6 for even exponents.

A: $4^{425}$ , odd power, ends in 4 (II).

B: $4^{1024}$ , even power, ends in 6 (I).

C: unit digit of 3 cycles 3, 9, 7, 1; $63$ leaves remainder 3, giving 7. Times 4 gives 28, so unit digit 8 (IV).

D: $81$ leaves remainder 1, so $3^{81}$ ends in 3 (III).

2025: 3 June Shift 1

Match List-I with List-II

[a, b as given in the Euclidean algorithm, quotient (q), Remainder (r)]

Remainder (r)

$a = bq + r$

Choose the correct answer from the options given below:

2025: 26 May Shift 1

Arrange the fractions in decreasing order:

(A) $\frac{4}{5}$

(B) $\frac{7}{8}$

(D) $\frac{5}{9}$

Choose the correct answer from the options given below:

2023: 15 June Shift 2

Which one of the following numbers is not a prime number?

2023: 30 May Shift 3

The ascending order of the numbers 0.8, 0.88, 0.808, 0.08 is

2022: 6 Aug Shift 1

The value of $3 - 3 \div 3$ :

2023: 7 June Shift 1

If 7-digit number 485A64B is divisible by 8 and 9, then find the greatest value of A + B.

Match the LIST-I with LIST-II LIST-I (Number)LIST-II (Unit digit of the number)A. 44254^{425}4425I. 6B. 410244^{1024}41024II. 4C. 13363×449133^{63} \times 4^{49}13363×449III. 3D. 3813^{81}381IV. 8 Choose the correct answer from the options given below: