M4maths Previous Puzzles

22 Jul 2010 Find the age

A man says to his son, "I am twice as old as you at present yet 20 years ago I was four times as old as you."
Sum of the ages of father and son after 1 year will be

OPtion

1) 86
2) 90
3) 50
4) 88
5) 78
6) 49
7) 94
8) 92
9) 89
10) 80

Solution

Let at present age of father = x and that of son = x/2
20 years ago, the age of father = x-20 and that of son = x/2 – 20 According to the given condition x-20 = 4(x/2 -20
=> x-20 = 2x - 80
=> x = 60
Hence age of father = 60 and that of son = 30 at present
After 1 year sum of their ages = 61 + 31 = 92

Correct Option: 8 Best Solution (0)

21 Jul 2010 Find the Ratio

60 % of a number is equal to 80 % of another. Ratio of the numbers is

OPtion

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

Solution

60a/100 = 80b/100
6a = 8b
a/b = 8/6 = 4/3

Correct Option: 9 Best Solution (10)

20 Jul 2010 Find the possible case

A shopkeeper gives 60 % discount in some objects and 40 % discount in other objects. If printed costs of
two selected objects are 100 rupee and 900 rupees, than which one of the following is the possible total
cost of objects paid by the customer.

OPtion

1) 480
2) 600
3) 520
4) 410
5) 570
6) 760
7) 870
8) 650
9) 490
10) 710

Solution

If 40 % discount in 100 rupee and 60 % in 900 rupee, then
Total discount = 40 + 540 = 580, hence cost paid = 420
If 40 % discount in 900 rupee and 60 % in 100 rupee, then
Total discount = 360 + 60 = 420, hence cost paid = 580
If 40 % discount in 100 rupee and 40 % in 900 rupee, then
Total discount = 40 + 360 = 400, hence cost paid = 600
If 60 % discount in 100 rupee and 60 % in 900 rupee, then
Total discount = 60 + 540 = 600, hence cost paid = 400
Only 600 rupees is available in choices

Correct Option: 2 Best Solution (0)

19 Jul 2010 Find the ratio

(x+y)/(x-y) = 1
then the ratio of y and x is? and x is greater then zero

OPtion

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

Solution

given that (x+y)/(x-y) = 1
x+y = x-y
y = 0
so y/x = 0

Correct Option: 2 Best Solution (6)

16 Jul 2010 cost of wheat?

100 Kg. wheat of rate 5.20/- and 80 Kg. wheat of rate 4.80/- are added. What should be the selling
cost of the mixed wheat for making a profit of 122 rupee in the whole business?

OPtion

1) 5.70
2) 5.15
3) 5.00
4) 4.95
5) 6.50
6) 6.25
7) 6.30
8) 7.80
9) 7.20
10) 6.60

Solution

Total cost of the wheat = 100 * 5.20 + 80 * 4.80
= 520 + 384
= 904
Profit = 122
Total = 904 + 122 = 1026
Hence selling cost = 1026 / 180 = 5.70

Correct Option: 1 Best Solution (11)

15 Jul 2010 Find the value?

If a = 2 and b = 3, then (b^a + a^b) / (b^a – a^b) is?

OPtion

1) 24
2) 16
3) 15
4) 18
5) 19
6) 20
7) 17
8) 29
9) 13
10) 10

Solution

(ba + ab) / (ba – ab) = (32 + 23) / (32 – 23)
= (9 + 8) / (9 – 8)
= 17

Correct Option: 7 Best Solution (16)

14 Jul 2010 Two person age?

Sum of the ages of two men is 70 years. If one man is 2 year elder than the other, then sum of squares of their ages are?

OPtion

1) 1986
2) 2532
3) 4586
4) 5862
5) 5875
6) 6385
7) 6842
8) 1572
9) 2452
10) 3542

Solution

x + (x +2) = 70 => x = 34
Numbers are 34 and 36; sum of their squares is 1156 + 1296 = 2452

Correct Option: 9 Best Solution (17)

13 Jul 2010 Printing mistake

In a equation of maths paper there is a printing mistake,
division (/) sign replaced by multiply (*) sign then what will be the ratio of equation without this mistake and with this mistake.

The printed equation is => (x+y-z)*x

OPtion

1) 1/2x
2) 2x+3y-z/z
3) 1/(x*x)
4) 2x/2x+y-z
5) x/1
6) (x+z)/x
7) x+z/x
8) x+y-z/x*x
9) 1/x
10) 1/(x+y-z)^2

Solution

Printed equation is => (x+y-z)*x
correct equation will be => (x+y-z)/x

ratio will be (x+y-z)/x / (x+y-z)*x
1/x*x

Correct Option: 3 Best Solution (13)

12 Jul 2010 Find the sum?

Sum of 100 terms of 1,3,5,7 ....... 199 are?

OPtion

1) 9690
2) 8432
3) 9878
4) 8150
5) 10000
6) 9000
7) 11740
8) 12345
9) 7900
10) 10453

Solution

Sum of 1 and 199 = 200
Sum of 3 and 197 = 200
Sum of all the 50 pairs in the sequence = 200 * 50 = 10000

Correct Option: 5 Best Solution (10)

09 Jul 2010 sum of ALPHABET?

If positional values of alphabets from A to Z are 1 to 26 respectively, then sum of positional values of all
the letters of the word ALPHABET are

OPtion

1) 53
2) 68
3) 72
4) 78
5) 63
6) 58
7) 82
8) 89
9) 65
10) 49

Solution

ALPHABET = 1 + 12 + 16 + 8 + 1 + 2 + 5 + 20 = 65

Correct Option: 9 Best Solution (0)