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Puzzle Questions
661. In a party of 77 people, there are twice as many women as children and twice as many children as men. How many children were present










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Correct Ans:22
Explanation:
Let m be the number of men, w be no. of women and c be no. of children.
Then w/c = 2 => w=2c
c/m = 2 => m = c/2
Now, m + w + c = 77
=> c/2 + c+2c = 77=> 7c/2 = 77=> c/2 = 11 => c = 22
Now, no. of children = 22
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662. What is the angle between the hands of the clock at 4:40 ?










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Correct Ans:100o
Explanation:
Soln: At 4 the angle between the hands, A = 120o
In 40 min, B = 40 X 5.5 = 220o
The required angle = A ~ B = 100o
In 40 min, B = 40 X 5.5 = 220o
The required angle = A ~ B = 100o
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663. At what time between 5 and 6 will the hands of the clock coincide?










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Correct Ans:27 3/11 min
Explanation:
Soln: At 5 the angle between the hands is 150 deg.
To coincide, they collectively have to travel this distance. Every minute they travel 5.5 deg.
So no. of minutes required to coincide = 150 / 5.5 = 300 / 11 = 27 3/11 min.
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664. In a row of trees, a tree is 29th from left end and 11th from right end. How many tree are there in the row ?










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Correct Ans:39
Explanation:
Number of trees in total will be = 29+11 - 1= 39
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665. In a party of 49 people, there are twice as many women as children and twice as many children as men. How many children were present










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Correct Ans:14
Explanation:
Let m be the number of men, w be no. of women and c be no. of children.
Then w/c = 2 => w=2c
c/m = 2 => m = c/2
Now, m + w + c = 49
=> c/2 + c+2c = 49=> 7c/2 = 49=> c/2 = 7 => c = 14
Now, no. of children = 14
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666. Find the angle between two hands of a clock at 25 minutes past 11 O clock.










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Correct Ans:32.5
Explanation:
Here H = 11 and M = 25
The required angle = 30 (H - M/5) + M/2 degrees
= 30 ( 11-25/5) + 25/2 degrees
= 32.5degrees (note angles to be expressed in positive sign)
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667. Find the angle between two hands of a clock at 30 minutes past 12 O clock.










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Correct Ans:75
Explanation:
Here H = 12 and M = 30
The required angle = 30 (H - M/5) + M/2 degrees
= 30 ( 12-30/5) + 30/2 degrees
= 75degrees (note angles to be expressed in positive sign)
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668. In a party of 84 people, there are twice as many women as children and twice as many children as men. How many children were present










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Correct Ans:24
Explanation:
Let m be the number of men, w be no. of women and c be no. of children.
Then w/c = 2 => w=2c
c/m = 2 => m = c/2
Now, m + w + c = 84
=> c/2 + c+2c = 84=> 7c/2 = 84=> c/2 = 12 => c = 24
Now, no. of children = 24
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669. In a row of trees, a tree is 13th from left end and 19th from right end. How many tree are there in the row ?










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Correct Ans:31
Explanation:
Number of trees in total will be = 13+19 - 1= 31
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670. Find the angle between two hands of a clock at 20 minutes past 6 O clock.










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Correct Ans:70
Explanation:
Here H = 6 and M = 20
The required angle = 30 (H - M/5) + M/2 degrees = 30 ( 6-20/5) + 20/2 degrees = 70 degrees (note angles to be expressed in positive sign)
The required angle = 30 (H - M/5) + M/2 degrees = 30 ( 6-20/5) + 20/2 degrees = 70 degrees (note angles to be expressed in positive sign)
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671. Find the angle between two hands of a clock at 10 minutes past 4 O clock.










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Correct Ans:65
Explanation:
Here H = 4 and M = 10
The required angle = 30 (H - M/5) + M/2 degrees = 30 ( 4-10/5) + 10/2 degrees = 65 degrees (note angles to be expressed in positive sign)
The required angle = 30 (H - M/5) + M/2 degrees = 30 ( 4-10/5) + 10/2 degrees = 65 degrees (note angles to be expressed in positive sign)
Workspace
672. In a party of 98 people, there are twice as many women as children and twice as many children as men. How many children were present?










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Correct Ans:28
Explanation:
Let m be the number of men, w be no. of women and c be no. of children.
Then w/c = 2 => w=2c
c/m = 2 => m = c/2
Now, m + w + c = 98 => c/2 + c + 2c = 98 => 7c/2 = 98 => c/2 = 14 => c = 28
Now, no. of children = 28
Now, m + w + c = 98 => c/2 + c + 2c = 98 => 7c/2 = 98 => c/2 = 14 => c = 28
Now, no. of children = 28
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673. In a row of trees, a tree is 17th from left end and 16th from right end. How many trees are there in the row ?










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Correct Ans:32
Explanation:
Number of trees in total will be = 17+16 - 1= 32
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674. Find the angle between two hands of a clock at 20 minutes past 3 O clock.










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Correct Ans:20
Explanation:
Here H = 3 and M = 20
The required angle = 30 (H - M/5) + M/2 degrees = 30 ( 3-20/5) + 20/2 degrees = 20 degrees (note angles to be expressed in positive sign)
The required angle = 30 (H - M/5) + M/2 degrees = 30 ( 3-20/5) + 20/2 degrees = 20 degrees (note angles to be expressed in positive sign)
Workspace
675. Find the angle between two hands of a clock at 10 minutes past 2 O clock.










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Correct Ans:5
Explanation:
Here H = 2 and M = 10
The required angle = 30 (H - M/5) + M/2 degrees
= 30 ( 2 - 10/5) + 10/2 degrees = 5 degrees (note angles to be expressed in positive sign)
The required angle = 30 (H - M/5) + M/2 degrees
= 30 ( 2 - 10/5) + 10/2 degrees = 5 degrees (note angles to be expressed in positive sign)
Workspace
676. In a party of 77 people, there are twice as many women as children and twice as many children as men. How many men were present?










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Correct Ans:11
Explanation:
Let m be the number of men, w be no. of women and c be no. of children.
Then w/c = 2 => w = 2c c/m = 2 => m = c/2
Now, m + w + c = 77 => c/2 + c + 2c = 77 => 7c/2 = 77 => c/2 = 11 => c = 22
Now, no. of men = c/2 = 22/2 = 11
Then w/c = 2 => w = 2c c/m = 2 => m = c/2
Now, m + w + c = 77 => c/2 + c + 2c = 77 => 7c/2 = 77 => c/2 = 11 => c = 22
Now, no. of men = c/2 = 22/2 = 11
Workspace
677. In a row of trees, a tree is 8th from left end and 17th from right end. How many trees are there in the row ?










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Correct Ans:24
Explanation:
Number of trees in total will be = 8+17 - 1= 24
Workspace
678. In a party of 84 people, there are twice as many women as children and twice as many children as men. How many children were present ?










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Correct Ans:24
Explanation:
Let m be the number of men, w be no. of women and c be no. of children.
Then w/c = 2 => w=2c c/m = 2 => m = c/2
Now, m + w + c = 84 => c/2 + c+ 2c = 84
=> 7c/2 = 84 => c/2 = 12 => c = 24
Now, no. of children = 24
Then w/c = 2 => w=2c c/m = 2 => m = c/2
Now, m + w + c = 84 => c/2 + c+ 2c = 84
=> 7c/2 = 84 => c/2 = 12 => c = 24
Now, no. of children = 24
Workspace
679. Two numbers add upto 11, what could be the maximum value of their product ?










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Correct Ans:30.25
Explanation:
Solution is :
1+10 = 11 ,
1 x 11 = 11 2 + 9 = 11 ,
2 x 9 = 18 3 + 8 = 11 ,
3 x 8 = 24 4 + 7 = 11 ,
4 x 7 = 28 5 + 6 = 11,
5 x 6 = 30 5.5 + 5.5 = 11 ,
5.5 x 5.5 = 30.25
1+10 = 11 ,
1 x 11 = 11 2 + 9 = 11 ,
2 x 9 = 18 3 + 8 = 11 ,
3 x 8 = 24 4 + 7 = 11 ,
4 x 7 = 28 5 + 6 = 11,
5 x 6 = 30 5.5 + 5.5 = 11 ,
5.5 x 5.5 = 30.25
Workspace
680. In a row of trees, a tree is 8th from left end and 15th from right end. How many trees are there in the row ?










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Correct Ans:22
Explanation:
Solution is :
Number of trees in total will be = 8+15 - 1= 22
Number of trees in total will be = 8+15 - 1= 22
Workspace
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