Science Olympiad Test: Number, Ranking and Time Sequence - Class 10 MCQ

7^th day of the month is three days earlier than Friday that is Tuesday
14^th day is Tuesday
The 19^th day is Sunday.

On subtracting 3 from the middle digit the numbers become
559, 332, 524, 341, 412
Now reverse the positions of digits,
955, 233, 425, 143, 214
Arranging the above numbers in descending order, we get

Hence 3 is the required number.

Sita’s place from downwards
= (45 - 11) + 1 = 35^th

The given sequence may be analyzed 

∴ 1 =  Run 

A number is greater than 3 but less than 8.

The number is greater than 6 but less than 10.

Hence number = 7

Day after the day before yesterday is yesterday.
Now, five days ago, yesterday was Thursday.
So, five days ago, it was Friday.
Today is Wednesday.
Now three days before the day after tomorrow is yesterday.
Now it is on Monday that we say yesterday was Sunday.

There are two such pairs (4, 2) and (1, 3)

There are 20 boys and 40 girls. 
Number of students behind Kamal = 60 - 17 = 43
No. of girls ahead of Kamal = 9
No. of girls behind Kamal in rank = 40 - 9 = 31
No. of boys behind Kamal in rank = 43 - 31 = 12

The year 1979 is an ordinary year, it has one odd day.
So, the day on 12th January 1980, is one day beyond the day on 12th January 1979.
January 12, 1980 being Saturday
∴ January 12, 1979, was Friday.

In 400 consecutive years, there are 97 leap years. Hence in 400 consecutive years, February has 29th day 97 times.
400 ×  11 = 4400 times
29th day of month occurs = 4400 + 97 = 4497 times

We go on counting the odd days from 1991 onwards till the sum is divisible by 7.
The number of such days is 14 up to the year 2001.
So, the calendar for 1991 will be repeated in the year 2002.

8 o’clock - 2 o’clock = 6 hours

Angle traced by hour hand in 6 hours = 360/12 × 6 = 180

March 6, 1993 - August 15, 1993
Month = March  April  May  June  July  Aug
Days = 25 + 30 + 31 + 30 + 31 + 15
= 162 days = 23 weeks + 1 day

The 4^th day is Tuesday. So, the 11^th, 18^th, 25^th days are also Tuesday.
Three days after the 24^th day is 27^th day which is Thursday.

Suman reached the place 20 minutes before 8:50 hours. That is 8:30 hours.
The man who was 40 minutes late would reach the place at 9:00 PM
∴ Schedule time of meeting = 8:20 hours