Practise Puzzles - 2

1) A 3 digit number is such that it's unit digit is equal to the product of the other two digits which are prime. Also, the difference between it's reverse and itself is 396.

What is the sum of the three digits?

2) Substitute numbers for the letters so that the following mathematical expressions are correct.

ABC DEF GHI

--- = IE --- = IE --- = IE

3 6 9

Note that the same number must be used for the same letter whenever it appears.

3) A, B, C and D are related to each other.

One of the four is the opposite sex from each of the other three.

D is A's brother or only daughter.

A or B is C's only son.

B or C is D's sister.

4) Dr. DoLittle always goes walking to the clinic and takes the same time while going and while coming back. One day he noticed something.

When he left the home, the hour hand and the minute hand were exactly opposite to each other and when he reached the clinic, they were together.

Similarly, when he left the clinic, the hour hand and the minute hand were together and when he reached the home, they were exactly opposite to each other.

How much time does Dr. DoLittle take to reach home from the clinic? Give the minimal possible answer.

5) SlowRun Express runs between Bangalore and Mumbai, For the up as well as the down journey, the train leaves the starting station at 10:00 PM everyday and reaches the destination at 11:30 PM after three days.

Mr. Haani once travelled by SlowRun Express from Mumbai to Bangalore. How many SlowRun Express did he cross during his journey?

6) Thus, Mr. Haani must have crossed 7 SlowRun Expresses during his journey.

Six cabins numbered 1-6 consecutively, are arranged in a row and are separated by thin dividers. These cabins must be assigned to six staff members based on following facts.

Miss Shalaka's work requires her to speak on the phone frequently throughout the day.

Miss Shudha prefers cabin number 5 as 5 is her lucky number.

Mr. Shaan and Mr. Sharma often talk to each other during their work and prefers to have adjacent cabins.

Mr. Sinha, Mr. Shaan and Mr. Solanki all smoke. Miss Shudha is allergic to smoke and must have non-smokers adjacent to her.

Mr. Solanki needs silence during work.

Can you tell the cabin numbers of each of them?

7) SkyFi city is served by 6 subway lines - A, E, I, O, U and Z.

When it snows, morning service on line E is delayed.

When it rains or snows, service on the lines A, U and Z is delayed both morning and afternoon.

When the temperature drops below 20 C, afternoon service is cancelled on either line A or line O, but not both.

When the temperature rises above 40 C, afternoon service is cancelled on either line I or line Z, but not both.

When service on line A is delayed or cancelled, service on line I is also delayed.

When service on line Z is delayed or cancelled, service on line E is also delayed.

On February 10, it snows all day with the temperature at 18C. On how many lines service will be delayed or cancelled, including both morning and afternoon?

SkyFi city is served by 6 subway lines - A, E, I, O, U and Z.

When it snows, morning service on line E is delayed.

When it rains or snows, service on the lines A, U and Z is delayed both morning and afternoon.

When the temperature drops below 20 C, afternoon service is cancelled on either line A or line O, but not both.

When the temperature rises above 40 C, afternoon service is cancelled on either line I or line Z, but not both.

When service on line A is delayed or cancelled, service on line I is also delayed.

When service on line Z is delayed or cancelled, service on line E is also delayed.

On February 10, it snows all day with the temperature at 18C. On how many lines service will be delayed or cancelled, including both morning and afternoon?

In a certain game, if 2 wixsomes are worth 3 changs, and 4 changs are worth 1 plut, then 6 plutes are worth how many wixsomes?

8) A 3 digit number is such that it's unit digit is equal to the product of the other two digits which are prime. Also, the difference between it's reverse and itself is 396.

What is the sum of the three digits?

9) There are 4 mugs placed upturned on the table. Each mug have the same number of marbles and a statement about the number of marbles in it. The statements are: Two or Three, One or Four, Three or One, One or Two.

Only one of the statement is correct. How many marbles are there under each mug?

10) At University of Probability, there are 375 freshmen, 293 sophomores, 187 juniors, & 126 seniors. One student will randomly be chosen to receive an award.

What percent chance is there that it will be a junior? Round to the nearest whole percent.

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