Puzzles Questions

Q:

Puzzle : Sequence of numbers

Sequence of numbers are 1, 11, 21, 1211, 111221. What will be the next one in the above sequence?

Answer

 It is a strange sequence. Each number describes the resemblance of the previous one, except the first one.


11 describes the previous '1' which contains one '1'


21 describes the previous '11' which contains two '1'


1211 describes the previous '21' which contains one '2' and one '1'


111221 describes the previous '1211' which contains one '1', one '2' and two '1'.


So the next sequence will be 312211, that is the previous '111221' contains three '1', two '2' and one '1'.

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Subject: Math Puzzles

16 4223
Q:

Puzzle : Blueberries and Cups

Maria have some blueberries and some cups. If she put 9 blueberries into each cup she will have two cups left. If she put 6 blueberries into each cup she will have three blueberries left over.

Answer

The number of blueberries is equal to number of cups multiplied by 4 minus one left.


That is :


      B = 9(C - 2) -> (1)


Then the number of blueberries will be equal to the number of cups times three plus one left.


That is :


      B = 6C + 3 -> (2)


Now substitute the 1st and 2nd equations:


      B = 9(C - 2)


      B = 6C + 3


      C = 7, B = 45.


Therefore Blueberries = 45 and cups = 7.

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Subject: Math Puzzles

10 5035
Q:

Puzzle : Bridge Crossing

Jim, Jeanne, Louis and Anne wants to cross the bridge at night. They have only one torch light with them. Only two can cross the bridge at a time. They need torch light to cross the bridge. Each of them walks at a different speed. Jim needs 1 minute, Jeanne needs 2 minutes, Louis needs 5 minutes and Anne needs 10 minutes. A pair must walk together at the rate of the slower person. How these people can cross the bridge within 17 minutes?

Answer

First Jim and Jeanne walks across the bridge, it takes 2 minutes. 


Jim walks back with the torch light, which takes 1 minute. 


Then Louis and Anne walk on the bridge, which takes 10 minutes.


Jeanne comes back with the torch light, it takes 2 minutes.


Finally Jim and Jeanne walks across the bridge, which takes 2 minutes.


Total = 2 + 1 + 10 + 2 + 2 = 17 minutes

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Subject: Math Puzzles

16 6037
Q:

At 3.40, the hour hand and the minute hand of a clock form an angle of:

A) 120 degrees B) 125 degrees
C) 130 degrees D) 135 degrees
 
Answer & Explanation Answer: C) 130 degrees

Explanation:

Angle traced by hour hand in 12 hrs. = 360º.

 

Angle traced by it in  11/3 hrs=  36012*113°=110°

 

Angle traced by minute hand in 60 min. = 360º.

 

Angle traced by it in 40 min. =(360/60*40)°=240°

 

  Required angle (240 - 110)º = 130º.

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Filed Under: Clock puzzles

145 43459
Q:

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?

A) 2 p.m. on Tuesday B) 2 p.m. on Wednesday
C) 3 p.m. on Thursday D) 1 p.m. on Friday
 
Answer & Explanation Answer: B) 2 p.m. on Wednesday

Explanation:

 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+445 min.  or 345  min.in 170 hrs. 

Now,  345min.are gained in 170 hrs. 

  2 min.are gained in170*534*2 hrs=50 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

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Filed Under: Clock puzzles

236 68140
Q:

How many times in a day, are the hands of a clock in straight line but opposite in direction?

A) 20 B) 22
C) 24 D) 48
 
Answer & Explanation Answer: B) 22

Explanation:

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'clcok only).

So, in a day, the hands point in the opposite directions 22 times.

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Filed Under: Clock puzzles

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Q:

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

A) 145 B) 150
C) 155 D) 160
 
Answer & Explanation Answer: C) 155

Explanation:

Angle traced by hour hand in 12 hrs = 360º.

 

Angle traced by hour hand in 5 hrs 10 min.  i.e., 31/6 hrs 36012*316°= 155º

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Filed Under: Clock puzzles

466 89325
Q:

How many minutes is it until six o’clock if fifty minutes ago it was four times as many minutes past three o’clock?

Answer Twenty-six minutes.
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Subject: Clock puzzles

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