M4maths Previous Puzzles

11 Apr 2018 Probability

An alphanumeric character is randomly selected from following sentence:
"Where there is a great love,

there are always wishes

So Love and let live!"

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

OPtion

1) 21/58
2) 21/56
3) 10/29
4) 5/14
5) 19/58
6) 19/56
7) 19/57
8) 19/55
9) 20/59
10) None of these

Solution

Sentence = "Where there is a great love,

there are always wishes

So Love and let live"


Total number of alphanumeric character in the sentence = 58

Total Number of E= 13
Total Number of H= 4
Total Number of T= 4
Total = 21

Probability = 21/58

Correct Option: 1 Best Solution (0)

10 Apr 2018 Stocks

Preeti invests a part of Rs. 35,000 in 10% stock at Rs. 110 and the remainder in 15% stock at Rs. 115. If her total dividend per annum is Rs. 3750, how much does she invest in 10% stock at Rs. 110?

OPtion

1) Rs. 14375
2) Rs. 23375
3) Rs. 14000
4) Rs. 20625
5) Rs. 21375
6) Rs. 18625
7) Rs. 19375
8) Rs. 22625
9) Rs. 15375
10)Rs. None of these

Solution

Let investment in 10% stock be Rs. x.
Then, investment in 15% stock = Rs. (35000 - x).
Therefore (10/110)*x + (15/115)(35000 - x) = 3750
=> x/11 + 3/23(35000-x) = 3750
=> (23-33/253) + 3*35000/23 = 3750

solving
=> x = 20625

Option 4)

Correct Option: 4 Best Solution (0)

09 Apr 2018 Series

2, 6, 12, 20, 30, 42, 56,..
What is twelfth term of this series?

OPtion

1) 90
2) 72
3) 156
4) 110
5) 80
6) 132
7) 75
8) 100
9) 92
10) None of these

Solution

The pattern is 1×2, 2×3, 3×4, 4×5, 5×6, 6×7, 7×8,..
So 12th term is 12*13 = 156

Correct Option: 3 Best Solution (0)

07 Apr 2018 Ratio

If a/b = 4/11, e/f = 13/40, d/e = 10/11, c/d = 55/26 and b/c = 13/15. What is the value of abc/def

OPtion

1) 1
2) 25/26
3) 16/49
4) 25/36
5) 4/5
6) 16/25
7) 5/8
8) 8/25
9) 4/15
10) None of these

Solution

a/d = (a/b)*(b/c)*(c/d) = (4/11)*(13/15)*(55/26) = 2/3
b/e = (b/c)*(c/d)*(d/e) = (13/15)*(55/26)*(10/11) = 5/3
c/f = (c/d)*(d/e)*(e/f) = (55/26)*(10/11)*(13/40) = 5/8

So abc/def = (a/d)*(b/e)*(c/f) = (2/3)*(5/3)*(5/8) = 25/36

Option 4)

Correct Option: 4 Best Solution (1)

06 Apr 2018 Age

A is 9 years older than B who is six times as old as C. The total of the ages of A, B and C is 139 years. What is the product of A and B ages ?

OPtion

1) 1440
2) 640
3) 620
4) 4440
5) 4740
6) 4240
7) 780
8) 880
9) 4140
10)None of these

Solution

Let’s assume Age of B be B years
Age of A = B+9
Age of C = B/6

Total age = B + 9 + B + B/6 = 139
Solving 13B/6 = 130
B = 60
A = B+9 = 69
C = 60/6 = 10

Product of ages of A and B = 60*69 = 4140

Option 9)

Correct Option: 9 Best Solution (0)

05 Apr 2018 Factors

How many factors of 16757044128 are even numbers?

OPtion

1) 360
2) 300
3) 120
4) 90
5) 150
6) 540
7) 180
8) 480
9) 125
10) None of these

Solution

16757044128= (2^5)*(3^4)*(11^2)*(23^2)*101

Any factor of this number should be of the form 23^a * 11^b * 3^c * 2^d * 101^e

For the factors of this number to be an even number d should be non 0

a can take values 0, 1, 2
b can take values 0, 1, 2
c can take values 0, 1, 2, 3, 4
d can take values 1, 2, 3, 4, 5
e can take value 0, 1

Total number of odd factors = 3*3*5*5*2= 450

Option 10)

Correct Option: 10 Best Solution (5)

03 Apr 2018 Discount

The marked price of a shirt is Rs.2018. A shopkeeper offers three successive discount of 20%, 30% and 10%. How much will you have to pay, finally?

OPtion

1) 939.05
2) 949.05
3) 959.05
4) 969.05
5) 1071.07
6) 1077.07
7) 1007.07
8) 1037.07
9) 1027.07
10) None of these

Solution

Price after 1st Discount = 2018*80/100 = 1614.4
Price after 2nd Discount = 1614.4*70/100 = 1130.08
Price after 3rd discount = 1130.08*90/100 = 1017.072

Hence Option 10)

Correct Option: 10 Best Solution (0)

02 Apr 2018 Simple Interest

A sum of money at simple interest amounts to Rs. 3377 in 3 years and to Rs. 4376 in 9 years. The sum is:

OPtion

1) 2786.5
2) 2677.5
3) 2877.5
4) 2797.5
5) 2687.5
6) 2817.5
7) 2777.5
8) 2697.5
9) 2897.5
10) None of these

Solution

S.I. for 6 years = Rs. (4376 - 3377) = Rs. 999
S.I. for 1 year = Rs. 999/6


S.I. for 3 years = Rs. 3*(999/6) = 999/2
Principal = Rs. (3377 - 999/2) = Rs. 2877.5

Correct Option: 3 Best Solution (0)

30 Mar 2018 Profit and Loss

A shopkeeper sells his goods at cost price but uses a weight of
850 gm instead of kilogram weight. What is his profit percentage?

OPtion

1) 15
2) 15.5
3) 15.65
4) 16
5) 16.5
6) 17.65
7) 17.0
8) 17.5
9) 16.65
10) None of these

Solution

Let the CP of 1000 gm (1 kg) be Rs. 1000
Then CP of 850 gm = Rs 850
SP of 850gm = Rs 850

Profit = (1000-850)*100/850 = (150/850)*100 = 17.65

Correct Option: 6 Best Solution (0)

29 Mar 2018 Probability

In a certain corporation, there are 144 male employees and 36 female employees.  It is known that 10% of the male employees have advanced degrees and 30% of the females have advanced degrees.  If one of the employees is chosen at random, what is the probability this employee doesn't has an advanced degree and is female?

OPtion

1) 03/25
2) 04/25
3) 06/25
4) 03/50
5) 01/50
6) 0.7/50
7) 9/50
8) 11/50
9) 07/50
10) None of these

Solution

Total number of employees = 144+36 = 180

Number of female employees = 36
Number of female employees without advance degree = 70*36/100 = 126/5

Probability = 126/5*180 = 14/5*20 = 7/50

Correct Option: 9 Best Solution (0)