puzzles.75 mala
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PUZZLES
1. What fraction of 8 hours is 120 seconds?
Answer with Explanation:
Required fraction = 120sec / 8 hours
= 120sec / 8 x 60x60 seconds
= 1/240 secs
2. If 30% of a certain number is 12.6, then find the number?
Answer with Explanation:
Let the number be x
Then 30% of x = 12.6
30/100 X x = 12.6
X =30
1006.12 x
X = 42
3. What number must be added to 6, 16 and 8 to attain an average of 13?
Answer with Explanation:
Let the number be x
Then4
8166 x+++
= 13
30 + x = 52
X = 22
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4. If 10 be added to 4 times a certain number, the result in 5 less than
five times the number . The number is ---------
Answer with Explanation:
Let the number be x
Then 4x + 10 = 5x -5
-x = - 15
X = 15
5. What is the ratio of 12 minute to one hour?
Answer with Explanation:
Required ratio is given by
12 minutes : one hour
12 minutes : 60 minutes
1 : 5
6. If 2+3 = 10 ; 6+5 = 66 ; 7+2 = 63 ; 9+7 = 144 then 8+4 = ?
Answer with Explanation:
2+3 = 5 x 2 = 10
6+5 = 11x 6 = 66
7+2 = 9 x 7 = 63
9+7 = 16x 9 = 144
8+4 = 12x8 =96
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7. 2, 3, 5, 9, 17, ? Complete the series
Answer with Explanation:
2+1 = 3
3+2 = 5
5+4 = 9
9+8 = 17
17+16 = 33
8. 10 cats ate 10 rats in 10 seconds. How many cats are required to
gobble some 100 rats in 100 seconds?
Answer with Explanation:
Cats are enough to gobble some 100 rats in 100 seconds because the
time has been increased in accordance with the number of rats
∴Ans : 10 cats
9. All work no play. Little Tommy was tired. He planned to sleep till
morning 10 o’ clock. He set the alarm for 10 o’ clock and went to sleep
earlier at nine p.m. When the alarm rang, tell me how long tommy
would have slept?
Answer with Explanation:
Tommy would have slept for only one hour because the bell rang at
10 pm itself since the alarm clock has only 12 hours and doesn’t able to
differentiate between a.m and p.m
∴Answer : 1 hour
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10. 64, 32, 35, 5, 22, 11, 14, _?
Answer with Explanation:
2
64= 32
7
35= 5
2
22= 11
7
14= 2
Answer : 2
11. A train is 1 mile long. It travels at the rate of 1 mile per minute
through a tunnel which is also one mile long. Can you say how long it
will take for the train to pass completely through the tunnel.
Answer with Explanation:
Distance traveled = length of tunnel + length of train
= 1 +1
= 2 miles
Hence the train takes 2 minutes to come out of the tunnel completely.
Answer : 2 minutes
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12. A bow and an arrow cost Rs. 21. The bow cost Rs. 20 more than the
arrow. What shall be the price of each
Answer with Explanation:
Let cost of arrow = Rs. X
Then cost of bow = Rs. X + 20
x + x + 20 = 21
2x = 1
x = 0.5
Hence cost of arrow = Rs. 0.5
Cost of bow = Rs. 20.50
Answer : Rs. 20.50 + Rs 0. 50
13. A man was born in 50 B.C. How old aws he on his birthday on 50 A.D:
Answer with Explanation:
B.C = 50, 49,48,47,46,45,44,…..1
A.D = 2,3,4,5,6,…….50
Totally 50 + 49 = 99
Answer : 99 years
14. ROME = 7248
MORE = ?
Answer : 4278
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15. Find the value of x
2 1 8 5 9
3 7 2 6 2
4 2 1 1 xAnswer with Explanation:
2+3+4 = 9
1+7+2 = 10
8 + 2 + 1 = 11
5 + 6 +1 = 12
9 + 2 + x = 13
X = 13-11 = 2
Answer = 2
16. A man wants to reach a window which is 40 feet above the ground.
The distance from the foot of the ladder to the wall is 9 feet. How long
should the ladder be?
Answer with Explanation:By pyuthagorus theorem,
AC2 = AB2 + BC2
= 402 + 92
= 1600 + 81
= 1681
AC = 41 ft = Length of ladder
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17. A monkey starts upping a tree 30 feet tall. Each hour, it hops 3 feet
and slips back 2 feet. How many hours does it take to reach the top.
Answer with Explanation:
During the 28th hop, it reaches or touches the to of the tree.
Hence it takes 28 hour
18. A, C, F, J, _?
Answer with Explanation:
A, B = C
C,D,E = F
F.G, H,I = J
J,K,L,M,N = O
19. A heavy tree trunk can be save and into 12 feet long piece in one
minute. How long will it take to saw it into twelve equal pieces?
Answer with Explanation:
It takes 11 hours because when we are cutting for the 11th piece in 11th
hour, we get the 12th piece without spending one more hour.
Answer : 11 hours
20. 7462 is 4627
3819 is 8193
5967 is ?
Answer with Explanation:
First digit should go to last
Answer : 9675
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21. 5, -1, 8, 2, _?
Answer with Explanation:
5 - 6 = -1
-1 + 9 = 8
8 – 6 = 2
2 + 9 = 11
Answer = 11
22. Which is different?
a) RQPO b) VUTS c) HNOP d) HGFE
Answer with Explanation:
HNOP is different. All the other words are written in reverse
alphabetical order
23. 2 =5 ; 4 = 18 ; 6 = 39 ; 8 = 68 ; 10 = ?
Answer with Explanation:
22 + 1 = 5
42 + 2 = 18
62 + 3 = 39
82 + 4 = 68
92 + 5 = 105
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24. If 2A = 3B = 4C then A, B, C is _
Answer with Explanation:
2A = 3B = 4C
Divide by LCM (12)
2A/12 = 3B/12 = 4C/12
A/6 = B/4 = C/3
Ratio is 6 : 4 : 3
25. A roll of wire is 100 mts long. How many rolls are needed to
surround a square park that measures 500 x 500 mts?
Answer with Explanation:
Given that the side of park = 500 mts
∴Perimetre of the part = 4 x 500 mts = 2000 mts
∴Number of rolls of wire required = 2000/100 = 20 rolls.
26. A shepherded had 17 sheep. All but nine died. How many did he
have left?
Answer with Explanation:
All but nine died implies that the sheep numbered as nine alone was dead.
All the others are alive.
Hence 17-1 = 16 sheep are alive
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27. Insert the missing number
3 6 7
5 8 94 7 ?
Answer with Explanation:
Number in 1st column then number in 3rd column and then number in number
in 2nd column
Answer is 8.
28. If 53 -34 = 5334 ; 64 – 56 = 6546 then 75 – 24 = ?
Answer is 7254
29. If 2 x 6 = 3 , 3 x 9 = 3, 4 x 20 = 5
Then 5 x 40 = ?
Answer with Explanation:
Second number divides by first number
Answer is 40/5 = 8
30. There are eight mango trees in a straight line. The distance between
each mango tree with other is 3 meters. What is the distance between
first tree and eighth tree?
Answer with Explanation:
There are seven gaps between first and eigth tree. Each gap is 3 mts
∴7 gaps = 7 x 3 = 21 mts
Answer is 21 mts
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31. A gardener planted totally 6561 plants in such a way that there are
as many rows as there are trees in each column. How many rows were
there?
Answer with Explanation:
No of rows or Number of columns = 6561 = 81
32. A mathematician watched his daughter plucking flowers. Being a
mathematician he saw a wonder. After each minute the number of
flowers in the basket doubled. That is , she plucked in that speed if the
basket was full at 12 o’ clock, tell me what is the time when the basket
was half full?
Answer with Explanation:
Since the basket was full at 12 o’ clock, it was half full before one minute. Ie
at 11.59 a.m.
Answer : 11.59 am.
33. A string of 66 cms length is bent so as to get a circle what is its
diameter?
Answer with Explanation:
Since the string is bent into a circle, the length of the string becomes the
circumference of the circle.
Ie 2 π r = 66
2r = 66/π
= 66 x 7/22
2r = 21
Diameter = 21 cms
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34. If the difference between 3 times and seven times of a number comes
to 36, What is the number?
Answer with Explanation:
Let the number be x
Then 7x – 3x = 36
X = 9
35. If the length of the rectangle is twice its breadth then its perimeter is
__?
Answer with Explanation:
Given l = 2b (or) b = l/2
Perimeter of Rectangle = 2 (l + b)
= 2 (2b + b) or 2 (l + l/2)
= 2 (3b) or 2l + l
Answer = 6 b or 2l
36. Think of a number, divide it by 4 and add 9 to it, result is 15, find
the number
Answer with Explanation:
Required number /4 + 9 = 15
Required number = (15 – 9) x4
= 6 x 4 = 24
Answer = 24
37. if 5x4= 15; 7x8=49; 6x5 = 24; 8x4 = ?
Answer with Explanation:
Multiply the given numbers and subtract by the first number
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(8X4) – 8 = 24
Answer = 24
38. In a family, there are 5 brothers who are not yet married. Each
brother has a sister and the mother alive. How many women are there
in the family?
Answer : 2
39. If the day, two days after tomorrow be Thursday. What day whould
have been two days before yesterday?
Answer with Explanation:
If two days after tomorrow is Thursday then two days before yesterday is
also Thursday because the difference between the first day and last day is
seven days. Since the last day is Thursday, seven days before Thursday is
also a Thursday.
Answer = Thursday
40. A duck in front two ducks, a duck behind two ducks, and one duck
in the middle. How many ducks are there?
Answer with Explanation:
Totally there are only three ducks. Hence the duck in the front says that there
are two ducks behind, the duck at the back says that there are two ducks in
the front. Also there is a duck in the middle.
Answer : 3 ducks
41. If 4 women carryout a task in 4 days, then for the same task one
women will take ____ days
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Answer with Explanation:
Since number of women is divided by 4, the number of days should be
multiplied by 4.
Number of days = 4x4 = 16 days
Answer : 16 days.
42. If the radius of a circle is doubled, how many times of the area of the
original circle will it become now?
Answer with Explanation:
Area of the circle if the radius is doubled is given by π (2 r)2
= 4 π r 2
= 4 (area of circle)
Answer : 4 times
43. If DBMDVUUB stands for CALCUTTA, How will you write
“BOMBAY” ?
Answer with Explanation:
C=D ; A=B; L=M;C=D …..
Hence B = C;O=P; M=N;B=C; A=B; Y=Z
Answer : CPNCBZ
44. If MATHEMATICS = 12345123678 Then MAHATHMA = ?
Answer with Explanation:
MAHATHMA = 12423412
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45. Two persons were going together. One of them remarked to the
other “ Though you are my father, yet I am not your son. What was the
relationship between the two?
Answer with Explanation:
Since the person is not his son, she should be the daughter of him.
Answer : Father and Daughter
46. If + means / ; x means - ; / means + ; - means x then 16/8x6-2+12 =?
Answer with Explanation:
16/8x6-2+12 (apply the instruction given in the question)
= 16+8 – 6x 2/12 (apply BODMAS Rule for solving)
= 16+8 – 6x 1/6
= 16 +8 -1 = 23
Answer = 23
47. How many such 3’s are there in the following number sequences
which are immediately preceded by an odd number and immediately
followed by an even number?
5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
Answer : 2
48. A man plants 15376 apple trees in his garden and arrages them so
that there are as many rows and there are apple trees in each row. Thenumber of rows is ___
Answer with Explanation:
Number of rows = 15376 = 124
Answer = 124
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49. A greatest possible length which can be used to measure exactly the
lengths 7m, 3m 85cm, 12m95cm is _____
Answer with Explanation:
7 mts = 700 cms
3m 85 cm = 385 cms
12m 95cms = 1295 cms
Greatest Common Divisor(GCD) of 700 , 385, 1295 is 35
Hence 35cms is needed to measure the above given lengths
Answer = 35 cms
50. I was married 10 years before. My wife was sixth member of my
family and now I have a baby and today father died and the average age
of my family was same as it was 10 years before. Find my father’s age
when he was dead.
Answer with Explanation:
Initially there were 6 members in the family. After 10 years their total age is
increased by 60 years. But since his father died the total remain unchanged.
Hence age of the father is 60 years when he was dead.
Answer : 60 years.
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51. In the combinations of 2,3,6,7 how many possible combinations are
divisible by 4?
Answer with Explanation:
For a number to be divisible by 4, the last two digits of the number should
be divisible by 4.
In the above combinations of numbers, last two numbers should be 32, 72,
36, and 76
The combinations are : 2376; 3276; 6732; 7632; 3672; 6372;2736;7236
Totally 8 combinations
Answer = 8
52. A reduction in the price of apples enables a person to purchase 3
apples for Re. 1 instead of Rs. 1.25. What is the percentage of reduction
in price?
Answer with Explanation:
Reduction amount = Rs. 1.25 – Rs. 1.00
= Rs. 0.25 = 25 paise
Reduction % = 25 paise / 125 paise x 100
= 20%
53. You are having 31 kg of rice. You are provided with a 1 kg stone for
weighing. In how many weighs the 31 kg of rice can be weighed.
Answer with Explanation:
We have 1 kg stone:
I weighing - 1 kgII weighing - 2 kg
III weighing - 4 kg
IV weighing - 8 kg
V weighing - 16 kgTotal - 31 kg
Answer : 5 times
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54. If all the 6 are replaced by 9, then the algebraic sum of all the
numbers from 1 to 100 is ___
Answer with Explanation:
The following are the numbers between 1 to 100 with 6 as one of the digit
6,16,26,36,46,56,66,76,86,96 = 9 x 3 = 27
60 to 69 = 9x30 = 270
66 = 1 x 33 = 33
∴The total sum varied by 330
55. There is a cube of side 4 cms. The faces are coloured in red. The
cube is cut into prices of size 1 cm. How many cubes have no colour?
Answer with Explanation:
23 = 8 cubes have no colour
Answer : 8 cubes
56. B is taller than E but shorter than F who is as not tall as A and C is
shorter than D but taller than A. Who is tallest?
Answer with Explanation:
B E F A C D
B is taller But shorter but not tall as A C is shorter than D but taller
than E than F than A
Answer = D is tallest
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57. If the profit made by selling a pen for Rs. 10 is as much as its cost,
what is the price of the pen?
Answer with Explanation:
Given profit = cost price
We know that
Cost price + profit = Selling price
Cost price + cost price = Selling price
2 x cost price = Rs. 10
∴Cost price = Rs.5/-
Answer = Rs.5/-
58. In a certain code SENT is written as “ + /x –“ and ANT is written as
“*x-“ How is TEN written in that code
Answer with Explanation:
S = + ; E = / ; N= x; T = - ;A = * ; N = x ; T = -
∴TEN = - / x
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59. Three squares have perimeters of 12m, 20m and 24m respectively. If
a rectangle is constructed whose area is equal to the combined area of
the three squares such that its width is 7m, then the length of the
rectangle is _____
Answer with Explanation:
Perimeter (4a) of squares are 12m, 20m, and 24m
∴its sides (a) are 3m, 5m, 6m
Total area = 32 + 52 +62
= 9 + 25 + 36 = 70 m2
Area of rectangle = l x b
70 = l x 7 (given) = l = 10 mts
Answer : 10 mts
60. How many 4’s are there in the series which are precede by 8 and
followed by 0?
3 6 7 4 0 3 7 8 4 0 2 4 5 4 7 8 4 0 2 3 4 5 4 8 4 0 3 5 4 3 0 4 8 0
Answer with Explanation:
3 6 7 4 0 3 7 8 4 0 2 4 5 4 7 8 4 0 2 3 4 5 4 8 4 0 3 5 4 3 0 4 8 0
Answer : 3
61. The number of students in each section of a school is 24. After
admitting new students, there new sections were started. Now the total
number of sections is 16 and there are 21 students in each section. The
number of new students admitted is _________.
Answer with Explanation:
Initially the strength of the school = 24 x ( 16-3) = 312
After some new admissions, the strentth of the school = 21 x 16 = 336
∴ Number of new students admitted = 336 – 312 = 24.
Answer : 24
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62. Today is Friday, after 62 days it will be _____
Answer with Explanation:
After 63 days (multiples of seven days) it will be again Friday.
∴after 62 days, it will be Thursday.
63. The number of edges of triangular prism are ___
Answer : 6
64. My income is Rs. 1400 per month. If I save 15% of it every month,
how much I save in a year?
Answer with Explanation:
Savings per month = 1400 x 15/100 = 210
Saving per year = 210 x 12 = 2520
Answer = Rs.2520/-
65. Simplify : 86 x 27 -7
Answer with Explanation:
According to BODMAS we simplify as
86 x 27 -7
= 2322 – 7
= 2295
Answer = 2295
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66. Nine students out of 10 ate 5 chocolates per head. The 10th student
ate 9 more than the average of all the 10. How many chocolates did the
10th student eat?
Answer with Explanation:
Number of chocolates eaten by 10 th student be x
Then x = 9 +10
45 x+
10x = 90 +45 + x
9x = 135
X = 15.
Answer = 15
67. Twelve members were present at a board meeting. Each member
shook hands with all the other members before and after the meeting.
How many hand shakes were there?
Answer with Explanation:
Number of hand shakes = 2 (11 +10+9+8+7+6+5+4+3+2+1)
= 2 (66) = 132
Answer : 132
68. One morning I was on my way to the market and met a man who
has four wives. Each of the wives has 4 bags, containing 4 dogs and each
dog has 4 puppies. Taking all things into consideration, how many were
going to the market?
Answer with Explanation:
Just myself Only I was going to the market and I met all the others coming form the
opposite direction.
Answer : Just myself
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69. Which is worth more, a bucket half full of 1 sovereign gold pieces or
an identical bucket full of ½ sovereign gold pieces?
Answer with Explanation:
The bucket full of half sovereign gold pieces are more worth than the bucket
containing half full of 1 sovereign gold pieces
Answer : Bucket full of half sovereign gold coins
70. The sum of two numbers is ten. Their product is twenty. Can you
find the sum of the reciprocals of two numbers.
Answer with Explanation:
Given a + b = 10 ; ab =20
a
1+
b
1=
ab
ba +
= 10/20
= ½
Answer = ½
71. Find out the missing number.
1 1
2
10
1
5
2 4
8 5 ?Answer with Explanation:
The product of each set of three numbers in columns is 120
1 x 15 x 8 = 120 ; 12 x 2 x 5 = 120 hence 10 x 4 x ? = 120 = ? = 3
Answer = 3
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72. A box contains four small boxes. Each of the four boxes contains
three small boxes, in each of which there are two boxes. How many
boxes are there altogether?
Answer with Explanation:
Total number of boxes = 1 + 4 + (4x3) + (4 x 3 x 2)
= 1 + 4 + 12 + 24 = 41 boxes.
Answer = 41 boxes.
73. Ramu has 60 one rupee currency notes which bear numbers in
order. If the number of the first note is 7575, find the number of the last
note?
Answer with Explanation:
Number of last note (or) currency = 7575 +60 -1 = 7634
Answer = 7634
74. Which is different? 19, 29, 21, 23, 13
Answer with Explanation:
21 is different. All the other numbers are prime.
Answer = 21
75. A book contains 50 leaves. In one page there are 20 lines and in each
line there are 10 words. How many words does that book contain?
Answer with Explanation:
Total number of words = 10 words x 20 lines x 100 pages (2 x 50 leaves)
= 20,000 words
Answer = 20,000 words.