M4maths Previous Puzzles

23 Nov 2012 multiply

11*x = 1234321
89*x = ?

OPtion

1) 9986459
2) 9886979
3) 9787679
4) 7987659
5) 9986779
6) 9234789
7) 9978689
8) 9876999
9) 9812389
10) none of these

Solution

x = 1234321/11 = 112211
so 112211*89 = 9986779

Correct Option: 5 Best Solution (0)

22 Nov 2012 words

How many words of 5 letters can be made by using any of the 26 letters of English alphabets, if repetition is not allowed

OPtion

1) 6593600
2) 165765600
3) 65780
4) 1234500
5) 435600
6) 120
7) 7893600
8) 67000
9) 4356400
10) none of these

Solution

no. of methods to choose first letter = 26
similarly for second = 25
so answer = 26*25*24*23*22 = 7893600

Correct Option: 7 Best Solution (0)

20 Nov 2012 arrangement

How many methods are possible for 10 persons to sit in a round table conference, if 2 of them are restricted to sit together. Notation ! is factorial means for ex: 4! = 4*3*2*1

OPtion

1) 9!
2) 8!
3) 2*8!
4) 3*8!
5) 4*8!
6) 4324
7) 10!
8) 10!/2
9) 2*10!
10) none of these

Solution

on taking only 1 out of the 2 who will sit together, total persons will be 9, so methods to make them sit in a round table conference = 8!
now 2 methods for sitting are possible for the 2nd one
so ans: 2*8!

Correct Option: 3 Best Solution (0)

19 Nov 2012 sequence

0,1,-1,8,4,29,23...............
next number of the sequence will be

OPtion

1) 29
2) 34
3) 38
4) 44
5) 50
6) 63
7) 69
8) 72
9) 84
10) none of these

Solution

0+1^2 = 1
1-2 = -1
-1+3^2 = 8
8-4 = 4
4+5^2 = 29
29-6 = 23
23+7^2 = 72

Correct Option: 8 Best Solution (0)

17 Nov 2012 probability

Probability to get 4 cards of different suits one king, one ace, one queen and one jack from a well shuffled pack of 52 cards will be

OPtion

1) 256/270725
2) 1/4
3) 1/256
4) 1/172424
5) 1/[13*13*13*13]
6) 1/[52*51*50*49]
7) 1/24
8) 1/[52^4]
9) 1
10) none of these

Solution

for first card probability = 16/52
for second = 12/51
for third = 8/50
for fourth = 4/49
so answer = [16/52][12/51][8/50][4/49] = 256/270725

Correct Option: 1 Best Solution (0)

16 Nov 2012 dictionary

Out of 720 words formed by the letters k,t,u,f,g,x taking one letter only once, 500th word will be

OPtion

1) gfxutk
2) xufgtk
3) uxfgtk
4) ugfxtk
5) ugtkfx
6) xguftk
7) xfugtk
8) gfutkx
9) ufxgtk
10) none of these

Solution

starting from u rank 481-600
then f rank 481-504
then x rank 499-504
then g rank 499-500
then t rank 500
then k

Correct Option: 9 Best Solution (1)

15 Nov 2012 solve

36*82-(10x+y)*(10y+x)=522
where x and y are nonzero integers
then sum of x and y will be

OPtion

1) 5
2) 17
3) 8
4) 10
5) 4
6) 9
7) 7
8) 11
9) 12
10) none of these

Solution

36*82-(10x+y)*(10y+x)=522
so 36*82-522=(10x+y)*(10y+x)
so 2430=(10x+y)*(10y+x)
since 45*54 = 2430
so x and y are 4 and 5
so x + y = 9

Correct Option: 6 Best Solution (0)

14 Nov 2012 sequence

0,1,5,14,30,55.........
next number of the sequence will be

OPtion

1) 85
2) 64
3) 98
4) 91
5) 89
6) 100
7) 76
8) 78
9) 82
10) none of these

Solution

1-0 = 1
5-1 = 4
14-5 = 9
30-14 = 16
55-30 = 25
91-55 = 36

Correct Option: 4 Best Solution (0)

13 Nov 2012 HAPPY DEEEPAWALI

sum of positions of all the letters of the word DEEPAWALI taking alphabets in reverse
for example Z = 1 and Y = 2

OPtion

1) 100
2) 117
3) 121
4) 129
5) 135
6) 141
7) 148
8) 156
9) 167
10) none of these

Solution

it will be 23+22+22+11+26+4+26+15+18 = 167

Correct Option: 9 Best Solution (0)

10 Nov 2012 percentage

[16% of {36% of 124 + 64% of (112 - 12% of 104)}] will be

OPtion

1) 19.6
2) 6.7
3) 12.9
4) 23.6
5) 17.3
6) 12.1
7) 9.8
8) 14.3
9) 24.9
10) none of these

Solution

solve this you will get the answer as 17.3

Correct Option: 5 Best Solution (5)