M4maths Previous Puzzles

27 Jul 2016 Stock and Share

A man buys Rs.20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share must be

OPtion

1) Rs.12
2) Rs.24
3) Rs.15
4) Rs.26
5) Rs.31
6) Rs.19
7) Rs.18
8) Rs.32
9) Rs.21
10)None of these

Solution

Dividend on Rs.20 = Rs.(9/100* 20) = Rs.9/5
Rs.12 is an income on Rs.100
Therefore Rs.9/5 is an income of Rs. (100/12 * 9/5) = Rs.15

Option 3)

Correct Option: 3 Best Solution (12)

26 Jul 2016 Charge paid by Rakesh

A, B, C hired a car for Rs.1040 and used it for 7, 8 and 11 hours respectively. The amount of hire charges pad by B was

OPtion

1) Rs. 140
2) Rs. 160
3) Rs. 180
4) Rs. 280
5) Rs. 360
6) Rs. 320
7) Rs. 440
8) Rs. 340
9) Rs. 480
10)None of these

Solution

Ratio of hire charges = 7:8:11
Therefore Charges paid by B = Rs. (1040*8/26) = Rs.320

Correct Option: 6 Best Solution (18)

25 Jul 2016 Sequence

What is the next number of the following sequence
8468, 4234, 12702, 6351, 19053, 9526.5, 28579.5,

OPtion

1) 14289.75
2) 14829.25
3) 18457.75
4) 14500.25
5) 14589.25
6) 85738.50
7) 42869.25
8) 42689.75
9) 42986.25
10)None of these

Solution

8468
8468/2 = 4234
4234*3 = 12702
12702/2 = 6351
6351*3 = 19053
19053/2 = 9526.5
9526.5*3 = 28579.5
Similarly
28579.5/2 = 14289.75
Option 1)

Correct Option: 1 Best Solution (16)

22 Jul 2016 Probability of meeting?

Ram and Rahim agree to meet at a place between 4 P.M. to 6 P.M. The first one to come waits for 24 minutes and then leaves. If the time of their arrival are independent and at random then what is the probability of a meeting between Ram and Rahim.

OPtion

1) 16/25
2) 1/25
3) 2/3
4) 1/5
5) 4/5
6) 3/5
7) 1/2
8) 9/25
9) 1/3
10)1/120

Solution

Total interval = 120 minutes
There are two persons hence total areal time interval = 120*120
Meeting interval = 24 minutes
Interval in which meeting is not possible = 96 minutes
There are two persons hence the total areal time interval for cancellation of meeting = 96*96
Total areal time interval for meeting = 120*120 – 96*96
Probability = (120*120 – 96*96)/ 120*120
= 9/25

Correct Option: 8 Best Solution (2)

21 Jul 2016 Time and Distance

A train P leaves Bareilly at 5 am and reaches Dehradun at 9 am. Another train Q leaves Dehradun at 7 am and reaches Bareilly at 10.30 am. At what time do the two trains cross one another.

OPtion

1) 8.26 am
2) 7.10 am
3) 8 am
4) 8.10 am
5) 7.36 am
6) 8.40 am
7) 7.56 am
8) 7.30 am
9) 8.56 am
10)None of these

Solution

Let the distance between Bareilly and Dehradun be x km and let the train meet y hours after 7 am
Clearly, P covers x km in 4 hours and Q covers x km in 7/2 hrs
Speed of P = x/4 kmph and Speed of Q = 2x/7 kmph
Distance covered by P in (y+2) hrs + Distance covered by Q in y hrs = x
x(y+2) / 4 + 2xy/7 = x
y+2 / 4 + 2y/7 = 1
y = 14/15 hrs = 14/15 * 60 min = 56 min
So the train meet at 7.56 am
Option 7)

Correct Option: 7 Best Solution (18)

20 Jul 2016 Next Date

What is the next date ?
23/11/07
02/03/08
10/06/08
18/09/08
.......

OPtion

1) 28/11/09
2) 26/11/08
3) 25/10/08
4) 24/12/08
5) 28/11/08
6) 27/12/08
7) 27/01/09
8) 29/12/08
9) 28/02/09
10) 26/11/09

Solution

All the dates, there is a difference of 100 days

Correct Option: 6 Best Solution (0)

19 Jul 2016 A car engine

A car engine is half filled and holds 15 litres of petrol. What fraction of the engine is full if it contains 18 litres of petrol?

OPtion

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

Solution

Since half (1/2) filled car engine holds 15 ltrs of petrol
we can write it as
15 liters is contained in 1/2 as fraction
so 1 liter will be contained in 1/30 as fraction
hence 18 liters will be contained in 18/30 . i.e 3/5 as a fraction .

Option 4)

Correct Option: 4 Best Solution (31)

18 Jul 2016 Sequence

What is the next number of the following sequence
157, 204, 212, 220, 224, 244, .......

OPtion

1) 276
2) 280
3) 298
4) 286
5) 264
6) 252
7) 260
8) 282
9) 296
10)292

Solution

157
157 => 157 + 1*5 + 5*7 + 7*1 = 157+5+35+7 = 204
204 => 204 + 2*0 + 0*4 + 4*2 = 204+8 = 212
212 => 212 + 2*1 + 1*2 + 2*2 = 212+2+2+4 = 220
220 => 220 + 2*2 + 2*0 + 0*2 = 220+4 = 224
224 => 224 + 2*2 + 2*4 + 4*2 = 224+4+8+8 = 244
Similarly
244 => 244 + 2*4 + 4*4 + 4*2 = 244+8+16+8 = 276
Option 1)

Correct Option: 1 Best Solution (14)

15 Jul 2016 Time and work

Rohan and Suraj can do a piece of work in 12 days; Suraj and Mahesh in 15 days; Mahesh and Rohan in 20 days. In how many days will they finish it together.

OPtion

1) 8
2) 10
3) 12
4) 15
5) 6
6) 9
7) 14
8) 16
9) 18
10)None of these

Solution

(R+S)'s day's work = 1/12;
(S+M)'s 1 day's work = 1/15
(M+R)'s 1 days's work = 1/20

Adding : 2(R+S+M)'s 1 day's work = (1/12 + 1/15 + 1/20)
= 12/60 = 1/5
=> (R+S+M)'s 1 day's work = 1/10
So, they together can finish the work in 10 days.
Option 2)

Correct Option: 2 Best Solution (20)

14 Jul 2016 Find the value of ?

If in coded language
5.2120 = 434
2.0178 = 107
4.6212 = 1568
3.1980 = 681
Then 6.1074 = ?

OPtion

1) 689
2) 207
3) 99
4) 1534
5) 1475
6) 1240
7) 42510
8) 12034
9) 457
10)197

Solution

Here 5.2120 = 2120/5 + (5+2+1+2+0) = 424+10 = 434
2.0178 = 0178/2 + (2+0+1+7+8) = 89 + 18 = 107

Similarly for other

6.1074 = 1074/6 + (6+1+0+7+4) = 179+18 = 197
Option 10)

Correct Option: 10 Best Solution (18)