M4maths Previous Puzzles

19 Aug 2011 dictionary

Rank of the word AUGUST in the dictionary of words formed by using the letters of the word AUGUST

OPtion

1) 41
2) 48
3) 50
4) 54
5) 65
6) 86
7) 107
8) 128
9) 239
10) none of these

Solution

Total words formed = 6*5*4*3*2*1/2*1 = 360 (here denominator is due to revision of U twice)
so rank of AUGUST in the given dictionary
= (360/6)*0 + (60/5)*3 + (24/4)*0 + (6/3)*2 + (2/2)*0 + 1
= 0 + 36 + 0 + 4 + 0 + 1
= 41

Correct Option: 1 Best Solution (7)

18 Aug 2011 x+y

x+y = 9, then number of possible values of x and y are,
given that x and y are non zero positive integers s. t. x>y

OPtion

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

Solution

possible answers are (8,1) (7,2) (6,3) (5,4)

Correct Option: 4 Best Solution (23)

17 Aug 2011 cost

The cost of 1 kg apple and 2 kg mango is 155 rupee. If all rates are multiple of 5, then possible number of rates are

OPtion

1) 8
2) 10
3) 11
4) 13
5) 15
6) 17
7) 18
8) 20
9) 24
10) none of these

Solution

possible rate of apple are 5, 15, 25, 35,.........,145
so answer is 15

Correct Option: 5 Best Solution (0)

16 Aug 2011 work

A man and a boy do a piece of work in 8 days. 2 man and 4 boy will do the same work in ........ days ( Given that a man does double work than a boy does in a fixed time )

OPtion

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

Solution

A man and a boy do a piece of work in 8 days
since 1 man is equivalent to 2 boys
so 3 boys do that work in 8 days
so 1 boy will do that work in 8*3 = 24 days
so 2 man and 4 boys equal to 8 boys will do that work in 24/8 = 3 days

Correct Option: 3 Best Solution (4)

15 Aug 2011 Find the next number

1, 5, 0, 8, 1, 9, 4, ?

OPtion

1) 6
2) 1
3) 3
4) 7
5) 5
6) 8
7) 0
8) 9
9) 2
10) none of these

Solution

15 08 1947 the independence day

Happy Independence Day

Jai Hind

Correct Option: 4 Best Solution (3)

12 Aug 2011 percent

5 % of 10 % of 15 % of 20 is equal to

OPtion

1) 0.015
2) 0.035
3) 0.150
4) 0.350
5) 1.5
6) 3.5
7) 15
8) 35
9) data are wrong
10) none of these

Solution

(5/100)[(10/100){(15/100)*20}] = 3/200 = 0.015

Correct Option: 1 Best Solution (0)

11 Aug 2011 what will be next number

7, 11, 7, 13, 9, ?

OPtion

1) 15
2) 6
3) 16
4) 8
5) 9
6) 7
7) 12
8) 13
9) 9
10) 21

Solution

factor of 10 = 5,2 = sum of factors = 7 similarly
11 = 11
12 = 2,2,3 = 7
15 = 5,3 = 8

Correct Option: 4 Best Solution (0)

10 Aug 2011 earning

Aman earns double relative to the previous day in every next day of his working. If he earns 10 rupee in the first day then his earning in 12th day will be

OPtion

1) 510
2) 1530
3) 3560
4) 4090
5) 12340
6) 16570
7) 18670
8) 20480
9) 26440
10) none of these

Solution

income of 12th day can be obtained by following sequence
10, 20, 40, 80, 160, 320, 640, 1280, 2560, 5120, 10240, 20480

Correct Option: 8 Best Solution (0)

09 Aug 2011 percentage train

1 % of 2% of 3 % of ..........of (n-1) % of n = 720/[(100)^(n-1)]
then n =

OPtion

1) 4
2) 6
3) 11
4) 23
5) 99
6) 125
7) 200
8) 720
9) it is not possible to get any value
10) none of these

Solution

(1/100)[(2/100)[(3/100)[(4/100).....[((n-2)/100)[((n-1)/100)n]].....]]] = 720/[100^(n-1)
so 1*2*3*4...........*n = 720
so n = 6

Correct Option: 2 Best Solution (8)

08 Aug 2011 prime

how many numbers between 50 and 100 are prime

OPtion

1) 25
2) 19
3) 17
4) 14
5) 12
6) 10
7) 9
8) 7
9) 6
10) none of these

Solution

prime numbers 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Correct Option: 6 Best Solution (19)