M4maths Previous Puzzles

04 Feb 2011 letter and letter box

There are 5 different letters and 5 letter boxes of same size shape and colors. How many method are possible to post the letters?

OPtion

1) 76
2) 56
3) 57
4) 67
5) 64
6) 68
7) 65
8) 69
9) 72
10) None of the above

Solution

Possible combination
Combinations No of method
5,0,0,0,0 1
4,1,0,0,0 5
3,1,1,0,0 10
3,2,0,0,0 10
2,1,1,1,0 10
2,2,1,0,0 15
1,1,1,1,1 1
--------------------------
52

Correct Option: 10 Best Solution (0)

03 Feb 2011 Sum of 5 positive integers?

Minimum sum of 5 positive integers on the basis of following conditions

1. 1 is not allowed
2. Two successive integers are not allowed
3. First two prime numbers are not allowed

OPtion

1. 45
2. 41
3. 20
4. 37
5. 39
6. 22
7. 38
8. 43
9. 44
10. 40

Solution

Integers are 4, 6, 8, 10, 12

Correct Option: 10 Best Solution (10)

02 Feb 2011 Find the number of days

4 boys complete 2/3 of a work in 10 days. How many days are required for completing 3/4 of the work by 5 boys?

OPtion

1. 8
2. 9
3. 7
4. 6
5. 10
6. 11
7. 12
8. 13
9. 5
10. 14

Solution

4 boys--------------2/3 work------------------10 days
4 boys--------------1 work--------------------10/ (2/3) days
1 boy---------------1 work-------------------- 15*4 days
5 boys--------------1 work--------------------60/5 days
5 boys-------------3/4 work----------------12*3/4 =9 days

Correct Option: 2 Best Solution (13)

01 Feb 2011 Find the next number

1, 8, 25, 52, 89, 136, next number would be

OPtion

1. 193
2. 194
3. 195
4. 196
5. 197
6. 198
7. 199
8. 200
9. 201
10. 202

Solution

the difference of the sequence is 7, 17, 27, 37, 47, 57

Correct Option: 1 Best Solution (21)

31 Jan 2011 Find the cost

The cost of 13 books and 15 pens is 250 rupee. If cost of both the items are integers. Then sum of cost of 1 book and 1 pen is

OPtion

1. 15
2. 20
3. 19
4. 23
5. 16
6. 18
7. 25
8. 24
9. 21
10. 17

Solution

The only possible integral solution would be
Cost of 1 book = 10
Cost of 1 pen = 8

Correct Option: 6 Best Solution (15)

28 Jan 2011 5 lines

There are 5 lines. These lines intersect in 5 points. Maximum number of parallel lines is

OPtion

1) 2
2) 3
3) 4
4) 5

Solution

Draw a figure in which two equilateral triangles are joined through vertex.

Correct Option: 2 Best Solution (12)

27 Jan 2011 Value of number?

A number is such that its one sixth is equal to two third of one fourth of its square. Sum of the possible values of number would be

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 0
8) 7
9) 8
10) 9

Solution

x/6 = 2/3(x2/4)
Implies that x/6 = x2/6
Implies that x = 0, 1
0+1 =1

Correct Option: 1 Best Solution (17)

26 Jan 2011 5 friend

There are 5 friends. Their ages are all odd integers. The age of the only youngest friend is 21 and that of the only eldest is 29. There is no information about the ages of other friends. If we consider different possible sets of values for the ages of other friends then what would be the maximum difference between the sums of ages of 5 friends in any 2 possibilities.

OPtion

1. 20 years
2. 15 years
3. 18 years
4. 9 years
5. 6 years
6. 1 years
7. 2 years
8. 3 years
9. 16 years
10. 12 years

Solution

According to the given condition, for making a large difference between the sum of ages of 5 friends, possibilities are
21, 23, 23, 23, 29 and 21, 27, 27, 27, 29

Correct Option: 10 Best Solution (3)

25 Jan 2011 value of X ?

47 % of 47 + 48 % of 48 + 47 % of 48 + 48 % of 47 = 95 % x
Value of x would be

OPtion

1. 98
2. 95
3. 96
4. 99
5. 97
6. 100
7. 90
8. 80
9. 48
10. 47

Solution

According to the given condition
47*47/100 + 48*48/100 + 48*47/100 + 47*48/100
= (472 + 482 + 2*47*48) /100
= (47 +48)2 /100
= 952 /100 = 95*95/100

Correct Option: 2 Best Solution (9)

24 Jan 2011 Sum of integer

Sum of squares of 2 successive positive integers is 481. Sum of integers would be

OPtion

1. 34
2. 32
3. 33
4. 31
5. 35
6. 36
7. 30
8. 29
9. 28
10. 27

Solution

481/2 = 240.5, root of 240.5 = between 15 and 16

so integers would be 15 and 16

Correct Option: 4 Best Solution (27)