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June 23, 2019
Question 1
If 8th April, 2005 is Monday, what was the day of the week on 8th April, 2004?
Sunday
Monday
Thursday
Saturday
Good Job!
Oops!
The year 2004 is a leap year. So, it has 2 odd days. But, Feb 2004 not included because we are calculating from April 2004 to April 2005. Thus, it has 1 odd day only. The day on 8th April, 2005 will be 1 day beyond the day on 8th April, 2004.
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Question 2
How many days are there in y weeks y days?
7y^2
8y
14y
7
y weeks y days = (7y + y) days = 8y days
Question 3
An accurate clock shows 2 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 9 o’clock in the evening?
144 degree
210 degree
168 degree
570 degree
we know that the angle traced by the hour hand in one hour is 30º. The total angle traced by the hour hand in 19 hours (2 a.m to 9 p.m) is 30 x 19 = 570º.
Question 4
A boy saw the clock when it is 5 a.m. The clock loses 8 minutes in half a day. What will be the true time when he sees the clock at 10 p.m. on 4th day?
9 pm
10 pm
11 pm
12 pm
Time from 5 a.m. on a day to 10 p.m. on 4th day = 89 hours. Now 23 hrs 44 min. of this clock = 24 hours of correct clock. Therefore 356 / 15 hrs of this clock = 24 hours of correct clock. 89 hrs of this clock = (24 x (15/356) x 89) hrs = 90 hrs So, the correct time is 11 p.m.
Question 5
A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min 48 sec fast at 2 p.m. on the following Monday. When was it correct?
2 pm on Tuesday
2 pm on Wednesday
3 pm on Thursday
1 pm on Friday
Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours. =170 hours. The watch gains = (2 + 4 x 4/5) min = 34/5 min. in 170 hrs. Now, 34/5 min are gained in 170 hrs. 2 min are gained in (170 x 5/34 x 2) hrs. Watch is correct 2 days 2 hrs after 12 p.m. on Monday, i.e., it will be correct at 2 p.m. on Wednesday.
Question 6
Find at what time between 8 and 9 o’clock will the hands of a clock be in 180°.
110/11 min
100/11 min
200/11 min
120/11 min
At 8 o’clock, the hour is at 8 and the minutes hand is at 12, i.e., the two hands are 20 min. spaces apart. So, the minute hand gain = (30 - 20) minutes = 10 minutes 55 minutes will be gained in 60 min. 10 minutes spaces will be gained in ((60/55) x 10) min. = 100/11 min. The hands will be in the same straight line but not together at 100/11 min. past 8
Question 7
Which of the following is not a leap year?
800
2000
700
1200
The century divisible by 400 is a leap year. The year 700 is not a leap year.
Question 8
How many non-leap years are there from 1801 to 1900?
74
75
76
77
100 years consists 24 leap years and 76 non-leap years. (100th year is not a leap year if it cannot be divided with 400)
Question 9
Today is Saturday. After 59 days, it will be:
Tuesday
Each day of the week is repeated after 7 days. So, after 63 days, it will be Saturday. After 59 days, it will be Tuesday
Question 10
How many times in 24 hours, are the hands of a clock in a straight line but opposite in direction?
20
22
24
48
The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o’clock only). So, in a day, the hands point in the opposite directions 22 times.
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