M4maths Previous Puzzles

25 Apr 2018 Rank of the word

Find Rank of the word DICTIONARY in the dictionary of words formed by the letters of the word DICTIONARY

OPtion

1) 402015
2) 401099
3) 412013
4) 412009
5) 412001
6) 412015
7) 412016
8) 411025
9) 411015
10) None of these

Solution

362880 + 40320 + 5040 + 3600 + 120 + 48 + 6 + 0 + 0 + 0 = 412014
412014 + 1 = 412015
Rank of the word 'DICTIONARY' = 412015

Correct Option: 6 Best Solution (0)

24 Apr 2018 Probability

In a certain corporation, there are 2560 male employees and 1440 female employees.  It is known that 15% of the male employees have advanced degrees and 25% of the females have advanced degrees.  If one of the employees is chosen at random, what is the probability this employee has an advanced degree?

OPtion

1) 87/500
2) 83/400
3) 89/500
4) 93/500
5) 97/500
6) 91/500
7) 99/500
8) 111/500
9) 81/500
10) None of these

Solution

Total number of employees = 2560+1440+ = 4000

Number of male employess with Adv. degree = 2560*15/100 = 384
Number of female employess with Adv. degree = 1440*25/100 = 360
Total number of employees with adv. degree = 744

Probability = 744/4000 = 93/500

Correct Option: 4 Best Solution (0)

23 Apr 2018 Simple Interest

A person borrows Rs. 22500 for 3 years at 4.5% p.a. simple interest. He immediately lends it to another person at 7.25 p.a for 3 years. Find his gain in the transaction per year.

OPtion

1) 1856.25
2) 1865.25
3) 1956.25
4) 1857.25
5) 1860.25
6) 1618.75
7) 418.75
8) 618.75
9) 777.75
10)None of these

Solution

SI on borrowing = 22500*3*4.5/100 = 3037.5
SI on Lending = 22500*3*7.25/100 = 4893.75

Gain = (4893.75 - 3037.5)/3 = 618.75

Option 8)

Correct Option: 8 Best Solution (0)

20 Apr 2018 Compound Interest

What will be the compound interest on a sum of Rs. 60,000 after 3 years at the rate of 9 p.c.p.a.?

OPtion

1) 77701.74
2) 71701.74
3) 72701.74
4) 73701.74
5) 77101.74
6) 77201.74
7) 77301.74
8) 17701.74
9) 77401.74
10) None of these

Solution

CI = P(1 + R)^T - P = 60000 (1+9/100)^3 - 60000 =17701.74
Option 8)

Correct Option: 8 Best Solution (0)

19 Apr 2018 Probability

An alphanumeric character is randomly selected from following sentence:
"Mathematics is the art of giving the same name to different things"

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

OPtion

1) 2/5
2) 7/18
3) 6/17
4) 1/3
5) 19/59
6) 19/55
7) 21/58
8) 22/59
9) 17/55
10) None of these

Solution

Sentence = Mathematics is the art of giving the same name to different things.


Total number of alphanumeric character in the sentence = 55
Total Number of vowels = 20 (AEAIIEAOIIEAEAEOIEEI)

And Total number of Rs = 2

Probability = (20+2)/55 = 22/55 = 2/5

Correct Option: 1 Best Solution (0)

18 Apr 2018 Series

196608, 98304, 24576, 3072, ...

Find the sixth term of following series

OPtion

1) 132
2) 164
3) 172
4) 192
5) 224
6) 256
7) 186
8) 8
9) 4
10) None of these

Solution

Terms are continuously divided by 2,4,8,16, and so on
Series is 196608, 98304, 24576, 3072, 192, 6

Correct Option: 10 Best Solution (0)

17 Apr 2018 Work & Time

If 6 men and 8 women can do a piece of work in 9 days and 4 men and 7 women can do it in 12 days, how

many days will 9 men and 6 women take to do it?

OPtion

1) 6.66
2) 7.05
3) 5.33
4) 5.00
5) 6.5
6) 7.5
7) 7.25
8) 6.75
9) 8.00
10) None of these

Solution

Let a man's daily work is x units and that of a woman is y units.
So total amount of work, W = 9(6x + 8y) = 12(4x + 7y)

Solving we get, 54x - 48x = 84y - 72y
=> 6x = 12y
x = 2y


Now, 6 x + 8 y can do work in 9 days.
So, 6x + 4x can do work in 9 days.
So, 10 x can do work in 9 days.

Now, 9x + 6y = 9x + 3x = 12x

Hence, if 10 x can do work in 9 days, 12x can do work in (10*9)/12 = 7.5 days.

Option 6)

Correct Option: 6 Best Solution (0)

16 Apr 2018 Age

In 2020, A would be 8 years older than B who would be eleven times as old as C. Also, the total of the ages of A, B and C in 2019 would be 143 years. What is the average of A and B ages in 2024 ?

OPtion

1) 70 years
2) 71 years
3) 72 years
4) 77 years
5) 76 years
6) 75 years
7) 74 years
8) 78 years
9) 73 years
10)None of these

Solution

Total ages of A+B+C in 2019 = 143
Total ages of A+B+C in 2020 = 143 + 3 = 146 years

In 2020
Let’s assume Age of B be B years
Age of A = B+8
Age of C = B/11

Total age = B + 8 + B + B/11 = 146
Solving 23B/11 = 136
B = 66
A = B+8 = 74
C = 66/11 = 6

In 2024 - i.e. 4 years later
Age of A = 74+4 = 78
Age of B = 66+4 = 70

Average of ages = 74 years


Option 7)

Correct Option: 7 Best Solution (0)

13 Apr 2018 CODE DECODE

If YEH DIL MANGE MORE is coded as 100 then what is the code of TASTE THE THUNDER

OPtion

1) 200
2) 75
3) 80
4) 100
5) 25
6) 10
7) 20
8) 150
9) 125
10) None of these

Solution

YEH 25-5-8 DIL 4-9-12 MANGE 13-1-14-7-5 MORE 13-15-18-5
Value of Smallest positioned alphabet in YEH = 5
Value of Smallest positioned alphabet in DIL = 4
Value of Smallest positioned alphabet in MANGE = 1
Value of Smallest positioned alphabet in MORE = 5

Product of all Values of Smallest positioned alphabets = 5*4*1*5 = 100

Similarly the code for TASTE THE THUNDER:
TASTE 20-1-19-20-5
THE 20-8-5
THUNDER 20-8-21-14-4-5-18


Value of Smallest positioned alphabet in TASTE = 1
Value of Smallest positioned alphabet in THE = 5
Value of Smallest positioned alphabet in THUNDER = 4

Product of all Values of Smallest positioned alphabets = 5*4*1 = 20

Correct Option: 7 Best Solution (0)

12 Apr 2018 Rank of the word

Find Rank of the word UBIQUITOUS in the dictionary of words formed by the letters of the word UBIQUITOUS

OPtion

1) 212654
2) 212648
3) 212652
4) 212653
5) 212660
6) 212656
7) 212594
8) 212294
9) 212292
10) None of these

Solution

Answer: 212654

Lets arrange the letters of UBIQUITOUS alphabetically = BIIOQSTUUU

Words starting with B = 9!/(2!*3!) = 30240
Words starting with I = 9!/(3!) = 60480
Words starting with O = 9!/(2!*3!) = 30240
Words starting with Q = 9!/(2!*3!) = 30240
Words starting with S = 9!/(2!*3!) = 30240
Words starting with T = 9!/(2!*3!) = 30240

Words starting with UBII = 6!/(2!) = 360
Words starting with UBIO = 6!/(2!) = 360
Words starting with UBIQI = 5!/(2!) = 60
Words starting with UBIQO = 5!/(2!) = 60
Words starting with UBIQS = 5!/(2!) = 60
Words starting with UBIQT = 5!/(2!) = 60

Words starting with UBIQUIO = 3! = 6
Words starting with UBIQUIS = 3! = 6
Words starting with UBIQUITOSU = 1
and next word is UBIQUITOUS = 1

Sum of all = 212654

Option 1)

Correct Option: 1 Best Solution (0)