The minute hand is at \(324^\circ\) and the hour hand is at \(357^\circ\). The smaller difference is \(33^\circ\).
Step 2
Why this answer is correct
The correct answer is C. \(33^\circ\). The minute hand is at \(324^\circ\) and the hour hand is at \(357^\circ\). The smaller difference is \(33^\circ\).
Step 3
Exam Tip
मिनट सुई \(324^\circ\) पर और घंटे की सुई \(357^\circ\) पर होती है। छोटा अंतर \(33^\circ\) है।
C. \(\frac{360}{11}\) मिनट बाद/after \(\frac{360}{11}\) minutes
Step 1
Concept
After (m) minutes the angle difference is \(90^\circ-5.5m\). For the next right angle \(m=\frac{360}{11}\).
Step 2
Why this answer is correct
The correct answer is C. \(\frac{360}{11}\) मिनट बाद / after \(\frac{360}{11}\) minutes. After (m) minutes the angle difference is \(90^\circ-5.5m\). For the next right angle \(m=\frac{360}{11}\).
Step 3
Exam Tip
(m) मिनट बाद कोण अंतर \(90^\circ-5.5m\) होता है। अगले समकोण के लिए \(m=\frac{360}{11}\) मिलता है।
The minute hand is at \(228^\circ\) and the hour hand is at \(229^\circ\). The smaller difference is \(1^\circ\).
Step 2
Why this answer is correct
The correct answer is A. \(1^\circ\). The minute hand is at \(228^\circ\) and the hour hand is at \(229^\circ\). The smaller difference is \(1^\circ\).
Step 3
Exam Tip
मिनट सुई \(228^\circ\) पर और घंटे की सुई \(229^\circ\) पर होती है। छोटा अंतर \(1^\circ\) है।
It turns \(2\pi\) radians in (60) minutes. In (7.5) minutes it turns \(\frac{7.5}{60}\times2\pi=\frac{\pi}{4}\).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{\pi}{4}\). It turns \(2\pi\) radians in (60) minutes. In (7.5) minutes it turns \(\frac{7.5}{60}\times2\pi=\frac{\pi}{4}\).
Step 3
Exam Tip
(60) मिनट में \(2\pi\) रेडियन घूमती है। (7.5) मिनट में \(\frac{7.5}{60}\times2\pi=\frac{\pi}{4}\) है।
The minute hand turns \(2\pi\) in (60) minutes. In (25) minutes the angle is \(\frac{25}{60}\times2\pi=\frac{5\pi}{6}\).
Step 2
Why this answer is correct
The correct answer is C. \(\frac{5\pi}{6}\). The minute hand turns \(2\pi\) in (60) minutes. In (25) minutes the angle is \(\frac{25}{60}\times2\pi=\frac{5\pi}{6}\).
Step 3
Exam Tip
मिनट सुई (60) मिनट में \(2\pi\) घूमती है। (25) मिनट में कोण \(\frac{25}{60}\times2\pi=\frac{5\pi}{6}\) है।
C. \( \frac{3\pi}{5} \) रेडियन/\( \frac{3\pi}{5} \) radians
Step 1
Concept
The minute hand turns \(2\pi\) in (60) minutes, so in (18) minutes it turns \( \frac{18}{60}\cdot2\pi=\frac{3\pi}{5} \). Use the time fraction of one full revolution.
Step 2
Why this answer is correct
The correct answer is C. \( \frac{3\pi}{5} \) रेडियन / \( \frac{3\pi}{5} \) radians. The minute hand turns \(2\pi\) in (60) minutes, so in (18) minutes it turns \( \frac{18}{60}\cdot2\pi=\frac{3\pi}{5} \). Use the time fraction of one full revolution.
Step 3
Exam Tip
मिनट सुई (60) मिनट में \(2\pi\) घूमती है इसलिए (18) मिनट में \( \frac{18}{60}\cdot2\pi=\frac{3\pi}{5} \) है। समय का अनुपात पूर्ण चक्कर से लगाएं।