CLOCKS & CALENDAR

Q.1  Find the angle between the two hands of a clock at 4:30 pm ?A) 450B) 460C) 470D) 480Ans. AUse the shortcut & apply the formula:i.e. Angle=30(N-M/5)-M/2=30(4-30/5)-30/2 Q.2 If Monday falls on the first of October. Which day will fall after three days of 20th in that month ? A) Wednesday B) Tuesday C) Monday D) Sunday Ans. AIf Monday falls on 1st of October, then 20th October will be Saturday & after three days of it there will be Wednesday Q.3 Time in a clock is quarter past twelve. If the hour hand points to the east, Which is the direction opposite to the Minute hand ? A) West B) North C) South D) South-West                                                      Ans. B                                                                             East                                12                    North  9                3   South                                       6                                             West   Q.4 If the 1st day of 1999 is a sunday, What is the last day? A)sunday B)monday C) Tuesday D)cannot be determined Ans. A If leap year then Monday else Sunday so its SUNDAY Q.5 A clock is set right at 8 a.m and it gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m on the following day?  A) 12 o’ clock B) 16 min past 12 C) 48 min past 12 D) 30 min past 12 Ans. C Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours.          24 hours 10 min. of this clock = 24 hours of the correct clock.          145/6 hrs of this clock = 24 hours of the correct clock.           29 hours of this clock = [24 * (6/145) * 29] hrs of the correct clock= 28 hrs 48 min of the correct clock.          Therefore, the correct time is 28 hrs 48 min. after 8 a.m.          This is 48 min. past 12.      

Q.1 Assume that-1. the hour & minute hands of a clock move without jerking.2. the clock shows a time between 8 O’ clock & 9 O’clock.3. the two hands of the clock are one above the other.After how many minutes (nearest integer) will the two hands be again lying one above the other? A) 60 B) 62 C) 65 D) 67 Ans. C Explanation: Reqd. time=60*60/55=65 5/11= 65 Q.2 A watch showed a time of fourteen min past nine (9 hrs & 14 min.) The position of hour hand of the watch are exactly interchanged . The new time shown by the watch is closest to which of the following ?A) Fifteen minutes to threeB) Fourteen minutes to threeC) Thirteen minutes to threeD) Twelve minutes to threeAns. BMinute pointer when move sixty minutes the hour pointer moves five minutes. When minute pointer moves 14 minutes the hour pointer will move = 14/60 * 5 = 14/12Hence the minute pointer will be act45+14/12 = 277/6 Q. 3 Find the time between 8’o clock & 9’o clock when the two hands of a clock are 4min. apart ?A) 39 3/11 & 48 min.B) 40 3/11 & 47 min.C) 41 3/11 & 46 min.D) 42 3/11 & 45 min.Ans. AShortcut:Use this formula(5x±4) * 12/11(5 * 8±4) * 12/11 (In place of x you have to put 8 as given in question)40 ± 4 *12/1112/11 (36 & 44)432/11 & 48=39 3/11 & 48 min. Q.4 Find the angle between the two hands of a clock at 15min. past 4’o clock ?A) 37.50B) 38.50C) 39.50D) 40.50Ans. AShortcut:Use this formula to find the angle:Angle= 30(N-M/5)+M/2Then, now put values30 (4-15/2)+15/2=30+7.5=37.50 Q.5 Find the time between 8’0 clock & 9’0 clock when the two hands of a clock in the same straight line ?A) 10 10/11 & 43 7/11B) 11 11/11 & 44 7/11C) 12 12/11 & 45 7/11D) None of the aboveAns. AUse the shortcut & apply the formula, i.e(5x-30)*12/11 & 5x*12/11(5*8-30)*12/11 & 5*8*12/11120/11 & 480/1110 10/11 & 43 7/11