M4maths Previous Puzzles

15 Mar 2017 Mean, Median and Mode

Find the products of mean, median and mode (i.e. you need to find mean*median*mode) for the following list of values:
26 23 13 27 14 31 27

OPtion

1) 76
2) 16246
3) 17576
4) 12167
5) 19683
6) 15548
7) 16767
8) 16646
9) 16146
10)161146

Solution

Answer: 16146
Mean = Sum of nos. / Count of numbers = (23+26+13+27+27+14+31)/7 = 161/7 = 23
Median = Middle term when number are arranged in ascending order (13, 14, 23, 26, 27, 27, 21) = 26
Mode = Number which is present maximum number of times (13, 14, 23, 26, 27, 27, 21) =27
Product = 23*26*27 = 16146

Option 9)

Correct Option: 9 Best Solution (8)

14 Mar 2017 Percentage

Population of Uttar Pradesh is 205000000. Out of the total population 70% are eligible for voting. As part of 2017 state election voter turnaround was 60%. BJP received exactly 40% of total votes. How many total votes did BJP get in Uttar Pradesh state elections?

OPtion

1) 3444400
2) 34444000
3) 344440000
4) 3444000
5) 34440000
6) 344400000
7) 3444440
8) 34444400
9) 344444000
10) 34400000

Solution

Total votes BJP got in Uttar Pradesh state elections = 205000000 * 0.7 * 0.6 * 0.4

= 34440000

Correct Option: 5 Best Solution (15)

13 Mar 2017 Happy Holi!!!

For Holi Badri has bought 7 packets of green color, 5 packets of red color, 2 packets of purple color and 6 packets of pink color. All these packets are kept in a bag. He randomly picks 1 color packet and gives it to Riya. Riya's favorite color are purple and pink.
What is the probability that Riya gets her favorite color packet?

OPtion

1) 8/19
2) 4/5
3) 2/10
4) 8/10
5) 4/19
6) 4/21
7) 10/21
8) 8/21
9) 2/5
10)1/5

Solution

Total Number of possible outcomes = 7+5+2+6 = 20
Total Number of positive outcomes = 2+6 = 8

Probability = 8/20 = 2/5
Option 9)

Correct Option: 9 Best Solution (13)

10 Mar 2017 Mixture

A merchant has 1000 kg of sugar, part of which he sells at 6% profit and the rest at 16% profit. He gains 108% on the whole. The quantity sold at 16% profit is:

OPtion

1) 900 kg
2) 100 kg
3) 700 kg
4) 300 kg
5) 600 kg
6) 400 kg
7) 200 kg
8) 800 kg
9) 500 kg
10)250 kg

Solution

(Quantity of Cheaper)/(Quantity of Dearer) = (Price of Dearer - Mean Price)/(Mean Price - Price of Cheaper)

(Quantity of Cheaper)/(Quantity of Dearer) = (116 - 108)/(108-106) = 8/2 = 4/1

Total Quantity = 1000 KG

The quantity sold at 16% profit is = (1/(4+1)) * 1000 = 200

Option 7)

Correct Option: 7 Best Solution (3)

09 Mar 2017 Series

10th term of below series is:
-1, 7, 5, 21, 19, 43, 41, .....

OPtion

1) 67
2) 69
3) 71
4) 73
5) 75
6) 77
7) 101
8) 110
9) 121
10)None of these

Solution

1^2 - 2 = -1
2^2 + 3 = 7
3^2 - 4 = 5
4^2 + 5 = 21
5^2 - 6 = 19
6^2 + 7 = 43
7^2 - 8 = 41
8^2 + 9 = 73
9^2 - 10 = 71
10^2 + 11 = 111

Correct Option: 10 Best Solution (0)

08 Mar 2017 Find the value

If abc + abc + abc = ccc
Given :
- that a,b and c are single digit natural numbers.
- abc and ccc represents a 3 digit number

Find the value of (a*b*c)- (a*b) – (a*c) - a - b - c ?

OPtion

1) 0
2) 3
3) 7
4) 10
5) 13
6) 17
7) 21
8) 25
9) 27
10)29

Solution

3*(abc) = ccc
300a+30b+3c = 100c+10c+c
300a+30b = 108c
100a + 10b = 36c
Looking at RHS, we can see that C would be greater than 3 to make LHS postive
So for C=4 and a=1
100+10b = 144
b = 4.4
So for C=5 and a=1
100+10b = 180
b = 8
so a = 1, b= 8 and c=5
abc- ab - ac - a - b - c = 40 - 8 - 5 - 1 - 8 - 5 = 13

Option 5)

Correct Option: 5 Best Solution (13)

07 Mar 2017 Stocks

Find the market value of an 8.5% stock, in which an income of Rs. 750 is derived by investing Rs. 12000, brokerage being 1/4 %, is:

OPtion

1) Rs. 131.75
2) Rs. 132.25
3) Rs. 132.75
4) Rs. 133.25
5) Rs. 133.75
6) Rs. 135.0
7) Rs. 135.25
8) Rs. 135.75
9) Rs. 136.00
10) Rs. 136.25

Solution

Answers: Rs 135.75

For an income of Rs. 750, investment = Rs. 12000.

For an income of Rs.8.5 investment =.(12000/750)*8.5 = 136

This means for a Rs. 100 stock, investment = Rs. 136

Market value of Rs. 100 stock =136 – 0.25 = 135.75

Correct Option: 8 Best Solution (4)

06 Mar 2017 Compound Interest

At what rate of compound interest per annum will a sum of Rs. 5678 become Rs. 7512.6 in 4 years?

OPtion

1) 6.0%
2) 6.025%
3) 6.50%
4) 6.75%
5) 7.025%
6) 7.25%
7) 7.50%
8) 7.75%
9) 8.0%
10) 8.25%

Solution

Answer: 7.25%

7512.6 = 5678 (1+R/100)^4

(1+R/100)^4 = 1.3231

=> (1+R/100) = 1.0725

=> R = 7.25 %

Correct Option: 6 Best Solution (0)

03 Mar 2017 Probability

What is the probability of getting a sum 13 from three throws of a dice?

OPtion

1) 11/108
2) 7/72
3) 1/9
4) 25/216
5) 13/108
6) 6/54
7) 7/54
8) 29/216
9) 5/54
10)31/216

Solution

Total Number of possible outcomes = 6C1*6C1*6C1 = 6*6*6 = 216
Positive outcomes must satisfy D1+D2+D3= 13
(1,6,6) (2,6,5) (2,5,6) (3,6,4) (3,5,5) (3,4,6) (4,6,3) (4,5,4) (4,4,5) (4,3,6) (5,6,2) (5,5,3) (5,4,4) (5,3,5) (5,2,6) (6,5,2) (6,4,3) (6,3,4) (6,2,5) (6,1,6) and (6,6,1)
Count of positive outcome = 21
Probability = Positive outcome/Total Possible Outcomes = 21/216 = 7/72
Option 2)

Correct Option: 2 Best Solution (8)

02 Mar 2017 Time taken

Two trains each 414 meter long, are running in opposite directions on parallel tracks. If their speeds are 39 km/hr and 69 km/hr respectively, the time taken by the slower train to pass the driver of the faster one is?

OPtion

1) 12.8 seconds
2) 13.4 seconds
3) 13.8 seconds
4) 14.4 seconds
5) 14.8 seconds
6) 27.6 seconds
7) 28.0 seconds
8) 28.8 seconds
9) 29.5 seconds
10)22.0 seconds

Solution

Relative speed= 39+69 = 108 km/hr = 108 * 5/18 = 30 m/sec

We are calculating the time taken by the slower train to pass the driver of the faster one.
Hence, distance = length of the slower train = 414 metre

Time = 414/30 = 13.8 seconds

Option 3)

Correct Option: 3 Best Solution (11)