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NIMCET 2024 Reasoning PYQ — At what time between 2 pm and 3 pm, will the hour and minute hand… | Mathem Solvex | Mathem Solvex

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NIMCET 2024 — Reasoning PYQ

NIMCET | Reasoning | 2024

At what time between 2 pm and 3 pm, will the hour and minute hands of a clock point in opposite directions (diametrically opposite)?

Choose the correct answer:

A.
$41 \frac{5}{11}$ minutes past 2
(Correct Answer)
B.
$42 \frac{7}{11}$ minutes past 2
C.
$44 \frac{5}{11}$ minutes past 2

Correct Answer:

$41 \frac{5}{11}$ minutes past 2

Explanation

Solution:

1. Given:

$H = 2$
$\text{Angle } (\theta) = 180^\circ$

2. Formula:

\theta = \left| \frac{11}{2}M - 30H \right|

3. Equation:

180 = \frac{11}{2}M - 30(2)

180 = \frac{11}{2}M - 60

180 + 60 = \frac{11}{2}M

240 = \frac{11}{2}M

4. Calculation:

M = \frac{240 \times 2}{11}

M = \frac{480}{11}

M = 43 \frac{7}{11}

Final Answer:

$43 \frac{7}{11}$ minutes past 2.

Explanation

Solution:

1. Given:

$H = 2$
$\text{Angle } (\theta) = 180^\circ$

2. Formula:

\theta = \left| \frac{11}{2}M - 30H \right|

3. Equation:

180 = \frac{11}{2}M - 30(2)

180 = \frac{11}{2}M - 60

180 + 60 = \frac{11}{2}M

240 = \frac{11}{2}M

4. Calculation:

M = \frac{240 \times 2}{11}

M = \frac{480}{11}

M = 43 \frac{7}{11}

Final Answer:

$43 \frac{7}{11}$ minutes past 2.

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D.
$43 \frac{7}{11}$ minutes past 2