M4maths Previous Puzzles

07 Jan 2011 Bank interest

A man deposits 60000 rupee in his bank account. After 2 years, he gets 72600 rupee. If compound interest is added yearly, then rate of interest of the bank is

OPtion

1) 12
2) 8
3) 11
4) 10
5) 6
6) 7
7) 7.5
8) 9.5
9) 11.5
10) 12.5

Solution

60000*[(100+r)/100]^2 = 72600
On solving, we have (100+r)^2 = 12100
100+r = 110
r = 10

Correct Option: 4 Best Solution (16)

06 Jan 2011 Make the bill

Calculate the bill for the following purchasing
Objects Quantity Price per Kg
Potato 6 Kg 18 rupee
Onion 1 Kg 250 gm 40 rupee
Garlic 60 gm 390 rupee
Honey 200 gm 260 rupee
Ginger 120 gm 120 rupee

OPtion

1) 210.80
2) 236.60
3) 258.80
4) 230.40
5) 247.80
6) 278.60
7) 304.60
8) 314.50
9) 265.40
10) 278.80

Solution

Objects Quantity Price per Kg Total price
Potato 6 Kg 18 rupee 108
Onion 1 Kg 250 gm 40 rupee 50
Garlic 60 gm 390 rupee 23.40
Honey 200 gm 260 rupee 52
Ginger 120 gm 120 rupee 14.40
Total = 247.80

Correct Option: 5 Best Solution (20)

05 Jan 2011 Same birthday in leap year

What would be the probability o having the same birthday of two newly born child in a leap year

OPtion

1) 1/365
2) 1/366
3) 1/12
4) 4/365
5) 2/365
6) 1/122
7) 4/324
8) 24/364
9) 0
10 1

Solution

For the first child probability will be 1
and for the second child it would be 1/365
1*1/136
=1/366

Correct Option: 2 Best Solution (11)

04 Jan 2011 Find the value

If
(345*183)/(345/213) = 4
(345*390)/(345/100) = ?

OPtion

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

Solution

We we replace * by +, and / by -
then 345+183/345-213 = 528/132 = 4
so
345+390/345-100 = 735/245 = 3

Correct Option: 3 Best Solution (13)

03 Jan 2011 Find the correct set

3% of 33 + 4% of 44 = x% of y
which is the correct set of x and y respectively

OPtion

1) 5,56
2) 6,66
3) 4,54
4) 55,5
6) 2,34
7) 2,22
8) 7,76
9) 66,6
10) 5,50

Solution

3% of 33 = 3*33/100
4% of 44 = 4*44/100
3% of 33 + 4% of 44 = 11/100(3^2+4^2) = 11/100*5^5

25*11/100 = 55*5/100

So possible sets for x,y are
(25,11) (11,25) (5,55) (55,5) (1,275)(275,1)

correct option is 55,5

Correct Option: 4 Best Solution (26)

31 Dec 2010 Find the investment

A man got 16 % loss over his investment of 20 lacs. How much did he invest in a second business with
a profit of 12 %, if it is given that his overall profit was 1 lac rupee?

OPtion

1) 25,00,000
2) 40,00,000
3) 35,00,000
4) 36,00,000
5) 45,00,000
6) 20,00,000
7) 50,00,000
8) 28,00,000
9) 30,00,000
10) 42,00,000

Solution

According to the given condition
Profit of second business – loss of first business = 1, 00,000
Implies that x*0.12 – 20, 00,000*0.16 = 1, 00,000
Implies that x = 35, 00,000

Correct Option: 3 Best Solution (5)

30 Dec 2010 Find the integer

Twice of an integer, 2 more than thrice of that and 2 less than 6 times of that
integer are in an arithmetic progression. That integer will be

OPtion

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

Solution

According to the given condition
2x, 3x + 2, 6x – 2 are in A. P.
It implies 2(3x + 2) = 2x + 6x – 2
It implies x = 3

Correct Option: 3 Best Solution (9)

29 Dec 2010 Profits In investment

A seller bought an object at 40 % discount in printed price. He made price sticker for the object in which
he wrote the price 20 % greater than the printed price. He gave 40 % discount to a customer on this price.
How many % profits did he get on his investment?

OPtion

1) 9
2) 14
3) 10
4) 13
5) 11
6) 20
7) 8
8) 15
9) 18
10) 12

Solution

Let the printed price of the object is 100
Price in which, seller bought it = 60 % of 100 = 60
Sticker price = 120 % of 100 = 120
Selling price = 60 % of 120 = 72
% profit on investment = 12*100/60 = 20

Correct Option: 6 Best Solution (13)

28 Dec 2010 Father and son age?

A man says to his son, "My age is 1 year less than 4 times of yours age and before 3 years my age was 5 times of yours age."
What will be the difference of the age of father and that of son?

OPtion

1) 32
2) 33
3) 31
4) 34
5) 30
6) 36
7) 29
8) 37
9) 28
10) 38

Solution

According to the given condition y = 4x – 1
And y-3 = 5 (x-3)
On taking y = 4x -1 in (ii), we get x = 11 and y = 43.

Correct Option: 1 Best Solution (14)

27 Dec 2010 Find the next

1, 6, 16, 36, 76, ....
Next number will be

OPtion

1) 126
2) 136
3) 156
4) 96
5) 176
6) 198
7) 186
8) 142
9) 146
10) 196

Solution

Rule for sequence is (x+2)*2. Apply the rule.

Correct Option: 3 Best Solution (27)