NIMCET 2016 — Computer PYQ

Q: How do I solve NIMCET 2016 Computer questions?

Practice NIMCET 2016 Computer previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of NIMCET Computer questions?

NIMCET Computer questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are NIMCET previous year papers available for free?

Yes. Mathem Solvex provides free access to NIMCET previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

NIMCET 2016 — Computer PYQ

NIMCET | Computer | 2016

Consider the equation $(43)_{x} = (y 3)_{8}$ where x and y are unknown. The number of possible solution is

Choose the correct answer:

Explanation

Concept:
$(A B C D)_{b} = D * b^{0} + C * b^{1} + B * b^{2} + A * b^{3}$

Calculation:
Given: $(43)_{x} = (y 3)_{8}$

$\Rightarrow 3 * x^{0} + 4 * x^{1} = 3 * 8^{0} + y * 8^{1}$

$\Rightarrow 3 + 4 x = 3 + 8 y$

$\Rightarrow 4 x = 8 y$
$∴ x = 2 y$

Now, $y < 8$ and $x > 4$ (because the number represented in base $x$ is 43 or radix is always greater)

The following are possible solutions
$y = 3,\, 4,\, 5,\, 6,\, 7 \,(y < 8)$
$x = 6, 8, 10, 12, 14$

Hence number of possible solution is five.