Embibe Experts Solutions for Chapter: Clock and Calendar, Exercise 1: MAT 2019

Ishan wishes Irfan ‘Good Morning’ when the hour hand of a (measured clockwise) clock is positioned between $9$ and $10$. The angle between the two hands is $145°$. The time shown by the clock is

At what time between $3$PM and $4$PM the angle between the minute and hour hands be nine degrees, the minute hand being ahead of the hour hand?

Bhupen’s birthday is on the $13$th of June and Mainu’s birthday is on $23$rd of April. If in a particular year Mainu’s birthday was on Monday. What will be the day on Bhupen’s birthday in the same year?

The mathematical operators i.e. $+, – , \times , ÷, =, <$ had placed at the minute hand position of the clock at clockwise angles of $78°, 162°, 210°, 114°, 240°$ and $312°$ respectively. The operators position had been rotated by $5$ min, $7$ min, $9$ min, $11$ min, $13$ min and $15$ min respectively clockwise and anti-clockwise alternatively. Find the correct combinations of operators in the form of time which satisfy the given equation:

$\left[8 ? 20 ? 5 ? 9 ? 3 ? 38\right]$

If $7^{\mathrm{th}}$ day of the month is $4$ days after Friday, what day will it be on the thirty-first day of the month?

In $2021$, January $3^{\mathrm{rd}}$ is Friday. Then what will be the day of January $3^{\mathrm{rd}}$ in $2021$ ?

After noting down the odometer reading, that showed smallest four digit square number, Rimzim started driving to school with constant speed at $9 A.M$. After one hour, he observed the delay in reaching school and doubled the speed to reach at $11 A.M$. In school parking, he again noticed odometer which showed the number that reads same from both sides. What was the speed of Rimzim at $9.50 A.M ?$ (round to one decimal place)

A defective watch showed the weird behaviour. It gains $5$ seconds per $3$ minutes for first hour, loss $10$ seconds per $3$ minutes in the second hour, again gains $15$ seconds per $3$ minutes for next one hour and so on. The watch showed the correct time at $7:00 \mathrm{A}.\mathrm{M}.$ What time it indicated at $7:00 \mathrm{P}.\mathrm{M}.$?