M4maths Previous Puzzles

04 Feb 2010 Different category?

Select a sequence of different category

OPtion

(1) JKL
(2) IOP
(3) ASD
(4) RYU
(5) ZXC
(6) BNM
(7) QWE

Solution

all are successive letters in key board of computer leaving RYU

Correct Option: 4 Best Solution (8)

03 Feb 2010 6feet and 180 cm

The height of a man is 6 feet and that of other is 180.00 cm. Difference of their heights in inches is

OPtion

(1) 1.15
(2) 0.00
(3) 2.88
(4) 1.13
(5) 2.00
(6) 1.64
(7) 1.00
(8) 1.16
(9) 1.23
(10) 0.96

Solution

Conversion factors
(1) 1 feet = 12 inches
(2) 1 inch = 2.54 cm

Correct Option: 4 Best Solution (6)

02 Feb 2010 Two station

The distance between two stations A and B is given as 623 km. A train moving at a speed of
36 m/s will reach the station B after time

OPtion

(1) 4 hour 18 min 46 sec
(2) 4 hour 40 min 24 sec
(3) 4 hour 44 min 28 sec
(4) 4 hour 38 min 16 sec
(5) 4 hour 32 min 27 sec
(6) 4 hour 48 min 26 sec
(7) 4 hour 08 min 25 sec
(8) 4 hour 33 min 25 sec
(9) 4 hour 28 min 25 sec
(10) 4 hour 46 min 24 sec

Solution

Time = distance / velocity
623 / (36 * 3.6) hours
= 4 hour 48 min 26 sec

Correct Option: 6 Best Solution (5)

01 Feb 2010 working contract

12 labours construct 120 toys in 8 days working 8 hours per day. If two of them leave the work,
then how many days are required to do the same work with a working of 6 hours per day.

OPtion

(1) 15
(2) 17.2
(3) 12.8
(4) 14
(5) 11.8
(6) 15.4
(7) 12
(8) 10.8
(9) 16
(10) 24.2

Solution

Labour Toy Day Hour
12 120 8 8
1 120 8*12 8
1 120 8*12*8 1
10 120 8*12*8/10 1
10 120 8*12*8*/10*6 6
10 120 12.8 6

Correct Option: 3 Best Solution (5)

29 Jan 2010 non negative integers

For two non negative integers x and y
60 % of x + 40 % of y = 1
Then value of (x + y)^3 is

OPtion

1) 1
2) 8
3) 27
4) 64
5) 125
6) 216
7) 343
8) 512
9) 729
10) 1000

Solution

0.6 x + 0.4 y = 1
y = (10-6x)/4
Only integral solution for this equation is x= 1, y = 1

Correct Option: 2 Best Solution (6)

28 Jan 2010 man and work

A can do a piece of work in 12 days. B is 60 % more efficient to do the same work.
If both of them work together then the number of days required to do the same work is

OPtion

1) 5/2
2) 24/5
3) 11/3
4) 9/2
5) 7/2
6) 60/13
7) 4
8) 13/8
9) 2
10) 3

Solution

B is 60 % more efficient, therefore total number of days required by him to do the complete work can be
obtained by the formula
12 *1 = 1.6 * x
=> x = 12 / 1.6 = 7.5
When both of them work together, the work of 1 day is (1/12) + (1/7.5) = 13/60
Hence total number of days required are 60/13

Correct Option: 6 Best Solution (7)

27 Jan 2010 Subject

Question

OPtion

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

Solution

Solution

Correct Option: 10 Best Solution (0)

26 Jan 2010 Profit ?

A shopkeeper buys a pen set of 10 pens in 95 rupees and sell them at a rate of 10 rupee per pen.
If every set contains an additional pen of same quality then percentage profit obtained by the shopkeeper is?

OPtion

1) 13.6
2) 12.9
3) 15.8
4) 15.6
5) 13.8
6) 12.6
7) 14.8
8) 14.6
9) 14.3
10) 13.2

Solution

Profit = 15
Investment = 95
% profit = 15*100/95 = 15.8

Correct Option: 3 Best Solution (6)

25 Jan 2010 Temperature Increase?

On increasing the temperature by 30 degree centigrade, rate of a chemical reaction
becomes 15.625 times the initial rate. If every 10 degree centigrade increment in temperature makes
the similar multiple change (x), then x is equal to

OPtion

1) 0.5
2) 3.5
3) 4.5
4) 1.5
5) 2.5
6) 5.2083
7) 2.705
8) 2.505
9) 5.05
10) 1.25

Solution

30 degree centigrade means three laps of 10 degree centigrade
According to the given condition
(initial rate) . x . x . x = 15.625 (initial rate)
Or x3 = 15.625
Or x = 2.5

Correct Option: 5 Best Solution (0)

22 Jan 2010 sum of ab, bc, ca ?

A quantity x varies inversely as the square of y. Given that x = 4 when y = 3, the value of x when y = 6 is

OPtion

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

Solution

x ~ 1/y^2 => x = k/y^2, where k is constant
When y = 3 and x = 4
we have 4 = k/9 or k = 36
Therefore x = 36/y^2 thus
when y = 6
we get x = 36/6^2
= 1

Correct Option: 3 Best Solution (1)