M4maths Previous Puzzles

13 Nov 2010 How many days required?

Ram, Salim and David can do a work separately in 10, 20, 20 days. When they work together,
total days required to complete the work is

OPtion

1) 14
2) 6
3) 8
4) 9
5) 10
6) 12
7) 5
8) 4
9) 3
10) 2

Solution

One day work of the 3 persons together = (1/10) + (1/20) + (1/20)
= 1/5
Hence total days required are 5

Correct Option: 7 Best Solution (1)

12 Nov 2010 find the possible value

Product of two numbers is 4071. Which one out of these 10 options may be the sum of these two numbers?

OPtion

1) 110
2) 126
3) 130
4) 142
5) 136
6) 112
7) 124
8) 128
9) 108
10) none of the above

Solution

4071 = 3 * 23* 59 = 69 * 59

Correct Option: 8 Best Solution (11)

11 Nov 2010 Find the product of possible value of K?

k : k^2 :: k^2 : 8
product of all real integral values of k is?

OPtion

1) 1
2) 2
3) 6
4) 14
5) 5
6) 0
7) 8
8) 16
9) 9
10) 10

Solution

According to the given condition k^4 = 8k
On solving, we get k = 0, 2
product of possible value of k is 0*2 = 0

Correct Option: 6 Best Solution (5)

10 Nov 2010 Possible solution

Puzzle 377
6x + 3y = 27; x, y are integral values and x, y > 0
Numbers of possible solutions are

OPtion

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

Solution

(1, 7), (2, 5), (3, 3), (4, 1)

Correct Option: 1 Best Solution (9)

09 Nov 2010 Find the ratio

50 % of a number x is 62.5 % of another number y. What will be the ratio of x and y

OPtion

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

Solution

50x/100 = 62.5y/100
Implies that x/y = 5/4

Correct Option: 6 Best Solution (6)

05 Nov 2010 Happy deepawali

Special deepawali discount is given by a shopkeeper as follows
Purchasing above Discount amount
1000 100
5000 1000
10000 4000
Three person A,B,C purchase the articles of 2400,6400,12000 respectively
Ratio of their profit?

OPtion

1) 1:2:3
2) 2:4:5
3) 4:15:32
4) 5:16:32
5) 4:6:9
6) 15:4:32
7) 16:32:5
8) 3:5:7
9) 4:12:13
10) 1:1:1

Solution

Ratio of their profits
100/2400:1000/6400:4000/12000
1/24:10/64:4/12
4:15:32

Correct Option: 3 Best Solution (0)

04 Nov 2010 Happy deepawali

Next number of the sequence 1,3,6,10,15 is

OPtion

1) 35
2) 28
3) 21
4) 20
5) 18
6) 16
7) 30
8) 40
9) 51
10) 19

Solution

Differences are 2,3,4,5,6

Correct Option: 3 Best Solution (0)

03 Nov 2010 Happy deepawali

A shopkeeper purchases the following fireworks in deepawali. Total cost of the whole purchasing
given in the table below is 260000 rupee.
Fireworks (packet) Firework Cost/packet
1000 Rocket 250
1500 Sparkle 160
800 Bomb 190
4000 Others 150
If he gives a discount offer of 50 % in printed price, then % profit of the shopkeeper is

OPtion

>
1) 143.56 %
2) 238.85 %
3) 138.85 %
4) 243.56 %
5) 98.45 %
6) 198.45 %
7) 87.30 %
8) 187.30 %
9) 102.7 %
10) 202.7 %

Solution

Total selling cost of all fireworks
= 1000*250 + 1500*160 + 800*190 + 4000*150 = 1242000
After 50 % discount net income = 621000
Profit = 621000 – 260000 = 361000
% = 361000 * 100/ 260000 = 138.85

Correct Option: 3 Best Solution (0)

02 Nov 2010 Happy deepawali

There are 4 companies of fireworks. The printed prize of the packet of rocket of these companies is 200, 250, 300,
and 350. Discount offer of the companies are 10, 20, 30 and 40 percent. A man buys 4 packets one of each company.
Total cost is

OPtion

1) 900
2) 500
3) 680
4) 980
5) 860
6) 800
7) 950
8) 750
9) 690
10) 970

Solution

200*0.9 + 250*0.8 + 300*0.7 + 350*0.6
= 180 + 200 + 210 + 210
= 800

Correct Option: 6 Best Solution (1)

01 Nov 2010 Group of blind person

There are 98 persons in a room, from these persons 13 are both eye blind and 12 are one eye blind.
Minimum number of persons with both the corrected eye required to make the total number of eyes a perfect
cubic number are

OPtion

1) 28
2) 30
3) 29
4) 27
5) 26
6) 31
7) 32
8) 35
9) 58
10) 45

Solution

Total eyes of 73 persons = 73*2 = 146
Total eye of 12 persons = 12*1 = 12
Total no of eyes = 158
Extra eyes required = 216 (nearest cubic number) – 158
= 58, therefore 29 extra persons are required.

Correct Option: 3 Best Solution (0)