M4maths Previous Puzzles

24 Oct 2018 Probability

An alphanumeric character is randomly selected from following sentence:
"M4Maths is a platform meant for math enthusiasts"

What is the probability that its an vowel?
Note: Alphanumeric character means alphabet or number. Space and other characters should be ignored.

OPtion

1) 11/40
2) 13/41
3) 12/41
4) 14/41
5) 10/39
6) 12/43
7) 10/41
8) 14/43
9) 11/42
10) None of these

Solution

Sentence = "M4Maths is a platform meant for math enthusiasts"


Total number of alphanumeric character in the sentence = 41
Total Number of vowels = 13 (AIAAOEAOAEUIA)

Probability = 13/41

Correct Option: 2 Best Solution (3)

23 Oct 2018 Solve

Given (61-a)(61-b)(61-c)(61-d)(61-e) = 3795.

Find a+b+c+d+e= ?

OPtion

1) 232
2) 223
3) 413
4) 423
5) 323
6) 333
7) 313
8) 403
9) 203
10) None of these

Solution

Lets try to simplify:
3795 = 23*11*5*3*1 = (61-38)*(61-50)*(61-56)*(61-58)*(61-60)

So a+b+c+d+e = 38 + 50 + 56 + 58 + 60 = 262

Correct Option: 10 Best Solution (7)

22 Oct 2018 Series

What is the next term of following series:
3, 4, 6, 8, 12, 14, 18, ?

OPtion

1) 19
2) 18
3) 20
4) 21
5) 23
6) 22
7) 24
8) 25
9) 26
10) None of these

Solution

nth term = n + 1
Where n is prime number such as 2, 3, 5, 7, 11, 13, 17, 19 and so on
So next term = 19+1 = 20

Option 3)

Correct Option: 3 Best Solution (5)

19 Oct 2018 Mean, Median and Mode

Find the value of x*y*2z
where x = Mean , y = Median and z = Mode of following numbers:
86 69 77
68 97 85
68 96 83

OPtion

1) 457114
2) 457124
3) 457134
4) 457154
5) 457164
6) 914308
7) 914318
8) 914328
9) 914338
10) None of these

Solution

Mean x = Sum of nos. / Count of numbers = 729/9 = 81 = x
Median y = Middle term when number are arranged in ascending order = 83 = y
Mode z = Number which is present maximum number of times = 68 = z
=> x*y*2z = 81*83*2*68 = 914328

Option 8)

Correct Option: 8 Best Solution (0)

18 Oct 2018 Probability

An alphanumeric character is randomly selected from following sentence:
"Patriotism is supporting

your country all the time, and

your government when it deserves it."

What is the probability that its letter I or K or T?
Note: Alphanumeric character means alphabet or number. Space and other characters should be ignored.

OPtion

1) 8/39
2) 15/77
3) 2/9
4) 15/74
5) 15/76
6) 14/75
7) 13/76
8) 16/75
9) 16/77
10) None of these

Solution

Sentence = "Patriotism is supporting

your country all the time, and

your government when it deserves it."


Total number of alphanumeric character in the sentence = 76

Total number of Is = 7
Total number of Ks = 0
And Total number of Ts = 9

Probability = 16/76 = 8/38 = 4/19

Option 10)

Correct Option: 10 Best Solution (0)

17 Oct 2018 Probability

A prime number less than 70 is randomly picked, what is probability that one of its digit will be 6?

OPtion

1) 0
2) 1/18
3) 1/17
4) 1/16
5) 1/9
6) 2/17
7) 3/17
8) 2/19
9) 3/19
10) None of these

Solution

Total number of prime numbers less than 70 = 19 => 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67
Number of positive outcomes i.e. number where at least one of its digit is 6 = 2

Probability = 2/19

Correct Option: 8 Best Solution (3)

16 Oct 2018 Area

If the diagonal of a rectangle is 24cm long and its perimeter is 64 cm. Find the area of the rectangle.

OPtion

1) 200 sq.cm
2) 212 sq.cm
3) 224 sq.cm
4) 216 sq.cm
5) 225 sq.cm
6) 220 sq.cm
7) 230 sq.cm
8) 240 sq.cm
9) 204 sq.cm
10) None of these

Solution

Let length = x and breadth = y then

2(x+y) = 64 => x+y = 32
x²+y² = 24² = 576
now (x+y)² = 32²
=> x²+y²+2xy= 1024
=> 576+ 2xy = 1024
=> xy = 224

Area = xy = 224 sq.cm

Correct Option: 3 Best Solution (3)

15 Oct 2018 Profit and Loss

1212 Oranges are bought for Rs. 8888 and sold at the rate of Rs. 111 per dozen. The percentage of profit or loss is:

OPtion

1) 24.14 % Profit
2) 25.16 % Loss
3) 26.41 % Profit
4) 25.555 % Profit
5) 26.667 % Profit
6) 31.5 % Profit
7) 28.00 % Profit
8) 66.67 % Profit
9) 26.14 % Profit
10) None of these

Solution

Cost of 1 Orange = 8888/1212 = 7.33333
Selling price of 1 Orange = 111/12 = Rs. 9.25

As SP > CP so its profit
So Profit % = (9.25 - 7.33333 )*100/7.33333 = 26.136 = ~26.14 %

Option 9)

Correct Option: 9 Best Solution (9)

12 Oct 2018 Age

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 46 years now, what was the son's age twenty one years back?

OPtion

1) 23
2) 22
3) 21
4) 20
5) 03
6) 04
7) 02
8) 01
9) 00
10) None of these

Solution

Let the sons current age be x
So fathers age x years back when son was born => 46-x = x
Solving we get x = 23
21 Years back son's age = 23-21 = 2 years

Option 7)

Correct Option: 7 Best Solution (0)

11 Oct 2018 Profit and Loss

A vendor bought 175 toffees for 665 rupees. How many toffees in 665 rupees must he sell to gain 40%?

OPtion

1) 133.33
2) 134
3) 120
4) 115
5) 135
6) 155
7) 135
8) 125
9) 110
10)None of these

Solution

CP of 1 toffees = 665/175 = Rs. 3.8
SP of 1 toffees for 40% profit = 3.8*1.40 = Rs. 5.32
So in 665 Rupess number of toffees to be sold = 665/5.32 = 125

Option 8)

Correct Option: 8 Best Solution (0)