puzzles.75 mala

8/8/2019 Puzzles.75 Mala

http://slidepdf.com/reader/full/puzzles75-mala 1/24

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?


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?


Let the number be x

Then4

8166 x+++

= 13

30 + x = 52

X = 22



4. If 10 be added to 4 times a certain number, the result in 5 less than

five times the number . The number is ---------


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?


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 = ?


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



7. 2, 3, 5, 9, 17, ? Complete the series


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?


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?


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



10. 64, 32, 35, 5, 22, 11, 14, _?


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.


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



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


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:


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



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



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.


During the 28th hop, it reaches or touches the to of the tree.

Hence it takes 28 hour

18. A, C, F, J, _?


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?


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 ?


First digit should go to last

Answer : 9675



21. 5, -1, 8, 2, _?


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


HNOP is different. All the other words are written in reverse

alphabetical order

23. 2 =5 ; 4 = 18 ; 6 = 39 ; 8 = 68 ; 10 = ?


22 + 1 = 5

42 + 2 = 18

62 + 3 = 39

82 + 4 = 68

92 + 5 = 105



24. If 2A = 3B = 4C then A, B, C is _


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?


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?


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



27. Insert the missing number

3 6 7

5 8 94 7 ?


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 = ?


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?


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



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?


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?


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?


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



34. If the difference between 3 times and seven times of a number comes

to 36, What is the number?


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

__?


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


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 = ?


Multiply the given numbers and subtract by the first number



(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?


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?


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




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?


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” ?


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 = ?


MAHATHMA = 12423412



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?


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 =?


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 ___


Number of rows = 15376 = 124

Answer = 124



49. A greatest possible length which can be used to measure exactly the

lengths 7m, 3m 85cm, 12m95cm is _____


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.


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.



51. In the combinations of 2,3,6,7 how many possible combinations are

divisible by 4?


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?


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.


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



54. If all the 6 are replaced by 9, then the algebraic sum of all the

numbers from 1 to 100 is ___


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?


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?


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



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?


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


S = + ; E = / ; N= x; T = - ;A = * ; N = x ; T = -

∴TEN = - / x



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 _____


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


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 _________.


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



62. Today is Friday, after 62 days it will be _____


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?


Savings per month = 1400 x 15/100 = 210

Saving per year = 210 x 12 = 2520

Answer = Rs.2520/-

65. Simplify : 86 x 27 -7


According to BODMAS we simplify as

86 x 27 -7

= 2322 – 7

= 2295

Answer = 2295



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?


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?


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?


Just myself Only I was going to the market and I met all the others coming form the

opposite direction.

Answer : Just myself



69. Which is worth more, a bucket half full of 1 sovereign gold pieces or

an identical bucket full of ½ sovereign gold pieces?


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.


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



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?


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?


Number of last note (or) currency = 7575 +60 -1 = 7634

Answer = 7634

74. Which is different? 19, 29, 21, 23, 13


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?


Total number of words = 10 words x 20 lines x 100 pages (2 x 50 leaves)

= 20,000 words

Answer = 20,000 words.

puzzles.75 mala

Documents