Logical Reasoning
hardQ. No. 19698
A clock shows 1:26. Calculate the acute or smaller reflex-complement angle made by its hands.
Last Updated:
A114°
B113°
C112°
D115°
Correct Answer: 113°Your Answer: B
Explanation
Correct answer: Option B — 113°. Their absolute difference is 113.0°; the smaller angle is 113°. Option A (114°) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error. Option C (112°) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error. Option D (115°) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error.
Important Notes
- Read the complete condition before calculating and write the required reference point, date, or clock time separately. This prevents a correct calculation from answering the reverse question.
- Keep units consistent. Reduce day differences modulo 7; treat 12 on a clock as zero for angle work; and convert gained or lost minutes into the same time unit as the stated interval.
- Check boundary cases explicitly: February, century years, noon, midnight, and an angle greater than 180 degrees often change the apparent answer. A century is a leap year only when divisible by 400.