Math Olympiad Test: Number, Ranking Test 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
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 required number.

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

The given sequence may be analysed 4 | 45 | 453 | 4531 | 45312 | 45 | 453 |
∴ 1 =  Run

A number is greater than 3 but less than 8.

Number 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 saw 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

Year 1979 is an ordinary year, it has one odd day.
So, the day on 12th January 1980, is one day beyond on 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 29^th day 97 times
400 x  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 are 14 upto year 2001, So, the calendar for 1991 will be repeated in the year 2002.

At 8 o'clock in the morning, the hour hand will be at 8
At 2 o'clock in the afternoon, the hour hand will be at 2
In one hour the hour hand rotates 30 degrees
8 o'clock morning to 2 o'clock afternoon = 6 hrs
Therefore the hour hand rotate = 6 × 30 = 180 degree
Hence, 180 is correct.

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 last train left 2¹/₂ hours before 18:00 hours which is 15:30 hours. But this happens 40 minutes before the announcement was made. So, the announcement was made at 16:10 hrs.

Monkey climbs 10 feet in one hour. So, it will climb upto a height of 90 feet in 9 hours. that is at 5:00 PM. So, it will then ascend a height of 30 feet in the next hour to touch the peak at 6:00 PM.