Bissoy.com
Doctors Medicines MCQs Q&A

At 3:40, the hour hand and the minute hand of a clock form an angle of:

At 3:40, the hour hand and the minute hand of a clock form an angle of: Correct Answer 130°

$$\eqalign{ & {\text{Angle}}\,{\text{traced}}\,{\text{by}}\,{\text{hour}}\,{\text{hand}}\,{\text{in}}\,12\,{\text{hrs}}\,{\text{ = }}\,{\text{36}}{{\text{0}}^ \circ } \cr & {\text{Angle}}\,{\text{traced}}\,{\text{by}}\,{\text{it}}\,{\text{in}}\,\frac{{11}}{3}\,{\text{hrs}} \cr & = {\left( {\frac{{360}}{{12}} \times \frac{{11}}{3}} \right)^ \circ } = {110^ \circ } \cr & {\text{Angle}}\,{\text{traced}}\,{\text{by}}\,{\text{min}}{\text{.}}\,{\text{hand}}\,{\text{in}}\,60\,{\text{min}}\,{\text{ = }}\,{\text{36}}{{\text{0}}^ \circ } \cr & {\text{Angle}}\,{\text{traced}}\,{\text{by}}\,{\text{it}}\,{\text{in}}\,{\text{40}}\,{\text{min}}. \cr & = {\left( {\frac{{360}}{{60}} \times 40} \right)^ \circ } = {240^ \circ } \cr & \therefore {\text{Required}}\,{\text{angle}} \cr & = {\left( {240 - 110} \right)^ \circ } = {130^ \circ } \cr} $$

Related Questions

A clock was set at right time at 12:00 noon. It loses 10 minutes every hour. What is the difference in angle made by minute hand and hour hand at 6:30 pm and angles made by minute hand and hour hand at actual time? Note: Consider acute angle.
A minute hand of a clock loses 30° every hour. The clock was set at 11:00 am. The acute angle made by minute hand and hour hand at actual time when the clock shows 4:00 pm.
There are 3 clocks located at California, Berlin and Beijing respectively. If the hour hand of the clock at California is rotated by 270 degrees, then it will show same time as clock in Berlin. If the hour hand of clock in Berlin is rotated by 180 degrees, then it will show same time as clock in Beijing. If time at clock at Beijing is 8 : 30 PM what time is clock at California showing?
A clock was set at right time at 1:00 pm. A man rotates hour hand 90° anti-clock wise every hour till the hour hand comes back at 1 o’ clock. How many times the man rotates the hour hand?
Three friends converted the time of 24 hours clock in that of 12 hour clock as follows: Name of the children Time in 24 hour clock Time in 12 hour clock Cheeku 23:45 11:45 pm Bittu  16:30 04:30 am Pinki 19:28 07:28 pm Who has shown incorrect time in 12 hour clock?
Assume that 1. the hour and minute hands of a clock move without jerking. 2. the clock shows a time between 8 o'clock and 9 o'clock 3. the two hands of the clock are one above the other. After how many minute (nearest integer) will the two hands be again lying one above the other?
Find angle between the minute and hour hand of the clock when hour hand is at 3 and minute hand is at 2?
At what time between 5 O’clock and 6 O’clock, will the minute hand and hour hand of the clock be at an angle of 95˚ at first time?
There are 2 clocks A and B. The angle between minutes and hour hand of the clock A is x degrees and that between hands of clock B is y degrees. The sum of x and y is 180 degrees and difference between x and y is 40 degrees. If time on clock A is between 2 and 3 and on clock B is between 4 and 5, which of these is correct time combination of both clocks?
At what time between 8 O’clock and 9 O’clock, will the minute hand and hour hand of the clock be exactly opposite to each other?