Follow Quotesrain
  • Result
  • Today's Puzzle
    • Previous Puzzles
    • Prize & Rules
  • Discussion Board
    • Suggestion Board
    • Trending Articles
  • Maths Tricks
  • Placement Papers
    • Placement Questions
    • Interview Experience
    • Placed user Comment
    • Group Discussion
  • English APP
  • login
  • Result
  • Today's Puzzle
    • Previous Puzzles
    • Prize & Rules
  • Discussion Board
    • Suggestion Board
    • Trending Articles
  • Maths Tricks
  • Placement Papers
    • Placement Questions
    • Interview Experience
    • Placed user Comment
    • Group Discussion
  • Walkins
    • Corporate Job Exam
    • Government Job Exam
    • Entrance Exam
  • Training
    • Internship

M4maths Previous Puzzles

08 Apr 2022 Averages

The average salary of executives in a company is Rs. 42,000 and that of non-executives is Rs. 30,000. The average salary of all the employees is Rs. 33,000. What is the percentage of non-executives in a company ?

OPtion

1) 60
2) 80
3) 65
4) 70
5) 50
6) 75
7) 33.33
8) 66.66
9) Insufficient Data
10) None of these
Solution
Let number of Executives and non-executives be x and y respectively.
Then, average salary of all the employees = (42000x + 30000y) / (x+y) = 33000
9000x = 3000y
x/y = 1/3
⇒ Non-executives are 3/4 of the total employees and their % = (3/4)*100 = 75%
Correct Option: 6 Best Solution (2)
G.S.Kantharao   2 Months AGO
Let x,y are no.of executives and non executives
Their average salaries are =₹42000,₹30000 respectively.
Over all average =₹33000
42000x+30000y=33000(x+y)
42000x+30000y=33000x+33000y
9000x=3000y
x/y=1/3=>x:y=1:3
Percentage of non -executives=3*100/(1+3)=75
My option is 6👈
Like? Yes (4) | No   
Mayank Kandoi   2 Months AGO
No. of Executives = x
No. of Non-executives = y

(42000x + 30000y) / (x+y) = 33000
42x + 30y = 33x + 33y
9x = 3y
3x = y

For every executive, there are 3 non-executives.
So percentage of non-executives = 3*100/(3+1) = 75%

Option 6
Like? Yes (3) | No   
Advertisement

07 Apr 2022 Percentage

After sale in a first week, there were x% items left out of the total stocked items in a store. In next week, when retailer stocked 30% more items and sold 40% more items, the remaining items increased by 20%. Find the value of x.

OPtion

1) 50
2) 30
3) 40
4) 35
5) 60
6) 55
7) 25
8) 22.5
9) 12.5
10) None of these
Solution
In the first week, let a retailer had total 100 items, Remaining items=x, so items sold=(100-x)
In next week, new stocked items (+30%) = 130, New Selling (+40%) = 1.4(100-x), Remaining items=130 - 1.4(100-x)
Given, new remaining items are 20% more than the initial ⇒ 130 - 1.4(100-x) = 1.2x
130 - 140 + 1.4x = 1.2x
0.2x = 10
x = 50
Correct Option: 1 Best Solution (1)
Mayank Kandoi   2 Months AGO
Total = 100 130
Sold = 100-x (100-x) (140/100)
Left = x 12x/10

12x/10 = 130 - (140- 14x/10)
12x/10 = 130 - 140 + 14x/10
12 x = -100 + 14x
100 = 2x
x = 50

Option 1
Like? Yes (3) | No (1)  

06 Apr 2022 Number System

What least number must be subtracted from 1739 so that the resulting number when divided by 6, 10 and 12 will leave in each case the same remainder 5 ?

OPtion

1) 61
2) 54
3) 39
4) 49
5) 36
6) 59
7) 64
8) 65
9) 44
10) None of these
Solution
LCM of 6, 10 and 12 = 60
⇒ The multiple of 60 are also divisible by 6, 10 or 12.
.'. Nearest number below 1739 divisible by them = 60 x 28 = 1680
Now, 1685 will be the number that will give remainder 5.
Hence, number to be subtracted = 1739 – 1685 = 54
Correct Option: 2 Best Solution (2)
G.S.Kantharao   2 Months AGO
L.C.M of 6,12,20=60
Given 1739
1739=(28*60+5)+54
So least number is 54
My option is 2👈
Like? Yes (6) | No   
Mayank Kandoi   2 Months AGO
LCM of 6,10,12 = 60
60*29 = 1740
60*28 = 1680
To leave remainder 5, number should be 1680 + 5 = 1685
Least number to be subtracted = 1739 - 1685 = 54

Option 2
Like? Yes (2) | No   

05 Apr 2022 Geometry

A hexagon has interior angles in arithmetic progression where difference of angles is double the smallest angle. The measure of largest interior angle of this hexagon is

OPtion

1) 240
2) 220
3) 185
4) 360
5) 440
6) 275
7) 110
8) 270
9) 330
10) None of these
Solution
Sum of interior angles of a polygon with 'n' sides = 180*(n-2)
.'. Sum of interior of of a hexagon = 180*(6-2) = 720°
Given, Internal angles are in A.P. Let the six angles be x, x+d, x+2d, x+3d, x+4d, x+5d
Also, the difference 'd' between angles is double the smallest angle ⇒ d=2x
.'. The angles are x, (x+2x), (x+4x), (x+6x), (x+8x), (x+10x) or x, 3x, 5x, 7x, 9x, 11x
Sum of interior angles = 36x = 720
⇒ x=20
Hence, largest angle = 11x = 220°
Correct Option: 2 Best Solution (4)
G.S.Kantharao   2 Months AGO
Angles are in degrees =x,3x,5x,7x,9x,11x
Sum=36x°=720°=>x=20°
Largest is 11x°=11*20°=220°
My option is 2👈
Like? Yes (6) | No   
Varun   2 Months AGO
The values are a, a+r, a+2r, ... a+5r
We also know sum of interior angles = 720
=> a+15r = 720
Given r = 2a
So a+15(2a) = 720
or a = 20
=> Largest = a+5r = 20+5(2*20) = 220
Like? Yes (2) | No   
Pargat Pal Singh   2 Months AGO
let angles are x,3x,5x,7x,9x and 11x.
Sum of interior angles of hexagon= 180*(n-2)= 36x
x=720/36=20
largest angle=11x= 220
Like? Yes (2) | No (1)  
Mayank Kandoi   2 Months AGO
Let the smallest angle be a. Then,
a2 = a + 2a = 3a
a3 = a + 4a = 5a
a4 = a + 6a = 7a
a5 = a + 8a = 9a
a6 = a + 10a = 11a

Sum of all angles = (6-2)*180 = 4*180
(1 + 3 + 5 + 7 + 9 + 11)a = 4*180
36a = 4*180
a = 20
Largest angle = 11a = 11*20 = 220

Option 2
Like? Yes (1) | No   

04 Apr 2022 Algebra

If x² + 1/x² = 198, Find x² - 1/x² = ?

OPtion

1) 70
2) 140
3) 280
4) 70√2
5) 140√2
6) 70√5
7) 280√2
8) 140√5
9) 280√5
10) None of these
Solution
Given, x² + 1/x² = 198
(x + 1/x)² = x² + 1/x² + 2 = 198+2 = 200 ⇒ ( x + 1/x) = 10√2
(x - 1/x)² = x² + 1/x² - 2 = 198-2 = 196 ⇒ ( x - 1/x) = 14
Now, x² - 1/x² =(x + 1/x) (x - 1/x) = 10√2*14 = 140√2
Correct Option: 5 Best Solution (3)
G.S.Kantharao   3 Months AGO
X^2+1/x^2=198
(x+1/x)^2
=x^2+1/x^2+2*x*1/x=198+2
=200
x+1/x=10√2
(x-1/x)^2=x^2+1/x^2-2
=198-2=196
x-1/x=14
(X+1/x)(x-1/x)
=10√2*14=140√2
My option is 5👈
Like? Yes (6) | No   
Pargat Pal Singh   3 Months AGO
x^2+1/x^2=198
x+1/x= sqrt (200)
x-1/x=sqrt (196)
x^2- 1/x^2= Sqrt (200*196)= 10*14* sqrt(2)= 140 Sqrt2.. option 5
Like? Yes (5) | No   
Mayank Kandoi   3 Months AGO
x² + 1/x² = 198
x + 1/x = √200..................(i)
x - 1/x = √196...................(ii)

Multiply both equations, we get
x² - 1/x² = √39200 = 140√2

Option 5
Like? Yes (1) | No   

01 Apr 2022 Probability

A fraction x/y is formed by randomly choosing integers for x and y such that
1 ≤ x ≤ 10
1 ≤ y ≤ 7
What is the chance that the fraction is less than 1/2 ?

OPtion

1) 1/14
2) 4/35
3) 1/7
4) 3/35
5) 9/70
6) 2/35
7) 1/5
8) 6/35
9) 11/70
10) None of these
Solution
Possible fractions x/y are 1/1, 1/2, ...., 10/7 => Total Outcomes=10*7=70
For x=1, Fraction x/y < 1/2 are 1/3, 1/4, 1/5, 1/6, 1/7, Total=5
For x=2, Fractions x/y < 1/2 are 2/5, 2/6, 2/7, Total=3
For x=3, Fractions x/y < 1/2 is 3/7, Total=1
Similarly no values of fractions possible for x > 3
Total favorable outcomes=5+3+1=9
Hence, chance or probability that fraction < 1/2 = 9/70
Correct Option: 5 Best Solution (6)
G.S.Kantharao   3 Months AGO
Sample space 70
Required out comes=1/7,2/7,3/7,1/6,2/6,
1/5,2/5,1/4,1/3=9
So probability =9/70
My option is 5👈
Like? Yes (6) | No   
Dr.Dipin Singh   3 Months AGO
Out of 70 possible combinations, acceptable 9 combinations are
(1,3), (1,4), (1,5), (1,6), (1,7), (2,5),(2,6), (2,7), (3,7).
So chance = 9/70
Like? Yes (4) | No   
Mayank Kandoi   3 Months AGO
Less than 1/2 = 1/3, 1/4, 1/5, 1/6, 1/7
Less than 2/4 = 2/5, 2/6, 2/7
Less than 3/6 = 3/7

Total outcomes = 10*7 = 70
Favourable outcomes = 5+3+1 = 9
Probability = 9/70

Option 5
Like? Yes (4) | No (1)  
RAMADURAI NATESAN   3 Months AGO
Total events = 10*7 = 70.
Favourable are 1/3 to 1/7, 2/5 to 2/7 ,and 3/7 = 9.
P = 9/70
Like? Yes (2) | No   
Varun   3 Months AGO
Less than 1/2
Means
Numerator 1 has chances with denominator 3,4,5,6,7
2 with 5,6,7
3 with 7
So 9 possibilities of total 10*7
Like? Yes (2) | No   
Pargat Pal Singh   3 Months AGO
Total possible combinations= 10*7=70
Favourable combinations are 9 which are listed below:-
x...y
1...3,4,5,6,7 means 5 combinations
2.... 5,6,7 means 3 combinations
3... 7.... only 1 combination
Probability that fraction x/y is less than 1/2 = 9/70
Like? Yes (3) | No (2)  

31 Mar 2022 Arithmetic

Sum of first 13 terms of an arithmetic progression is 312. Which of the following can be the sum of the first 14 terms, if the first term and the common difference are positive integers?

OPtion

1) 356
2) 362
3) 350
4) 346
5) 370
6) 368
7) 359
8) 341
9) 355
10) None of these
Solution
In A.P. when First term=a, Difference=d, then Sum of n terms, Sn = (n/2)[2a + (n-1)*d]
.'. 312 = (13/2)*(2a + 12d)
48 = 2a + 12d
Now, Sum of first 14 terms = (14/2)*(2a + 13d) = 7(2a + 12d + d) = 7(48+d) = 336 + 7d
So, from the given options, only 350 is in the form of 336+7d
Correct Option: 3 Best Solution (2)
G.S.Kantharao   3 Months AGO
S13=13(2a+12d)/2=312
13a+78d=312
a+6d=24
S14-S13=7(2a+13d)-(13a+78d)=14a+91d-13a+78d=P-312
a+13d=P-312
a+6d=24
7d=P-336
If P=350,then d=2 and a=12
Now S13=13(2*12+12*2)/2=24*13=312
S14=14(24+13*2)/2
=7*50=350
My option is 3👈
Like? Yes (4) | No   
Pargat Pal Singh   3 Months AGO
(13/2)*(2a+12d)=312
a+6d=24
a=24-6d
As per given conditions, 'd' can have values 1,2,3.
Considering these values and given options, d=2, a=12 satisfies conditions.
Sum of first 14 terms = (14/2)*(2*12+13*2)=7*50=350
Like? Yes (3) | No (1)  

30 Mar 2022 Percentage

The value of a certain article is 'k' percent more than its value one year earlier, If the value of an article was 'a' rupees on January 1, 2019, and 'b' rupees on January 1, 2021, then in terms of 'a' and 'b' what was the value of an article (in rupees) on January 1, 2022 ?

OPtion

1) a²b
2) √b/√a
3) b + [(b-a)/2]
4) b + (√b/√a)
5) b/√a
6) b*√b/√a
7) √a/√b
8) b²/(2a)
9) 2b/√a
10) None of these
Solution
Price in 2019 = a
Price in 2020 = a∗(1 + k/100)
Price in 2021 = a*(1 + k/100)^2 = b => (1+ k/100) = √(b/a)
Price in 2022 = b∗(1 + k/100) = b*√(b/a) = b*√b/√a
Correct option 6)
Correct Option: 6 Best Solution (3)
Dr.Dipin Singh   3 Months AGO
The value of article in different years will be in GP series..
On 1.1.2019=a
on 1.1.2020 =ar
on 1.1.2021 = ar^2=b, hence r=sqrt(b/a)
Value on 1.1.2021= ar^3= b*r = b*sqrt(b/a)...option 6
Like? Yes (5) | No   
G.S.Kantharao   3 Months AGO
2019 price =a growth rate =k
2021 price =a(100+k)^2/100^2=b
b/a={(100+k)/100}^2
2022 price
=a*{(100+k)/100}^3
=a(b/a)^(3/2)=a*(b/a)(√b/√a)
=b√b/√a
So my option is 6👈
Like? Yes (4) | No   
RAMADURAI NATESAN   3 Months AGO
1.1.19 =a. 1.1.20= (1.0k)*a. 1.1.21.=(1.0k)^2*a = b
or1.0k= root a/root b
1.1.22 = (1.0k)^3 *a =b(1.0k) = b*(root b/root a)
Like? Yes (1) | No   

29 Mar 2022 Ratio & Proportion

If (x+y) : (y+z) : (x+z) = 10 : 23 : 19 and x+y+z=13, then the value of z = ?

OPtion

1) 6
2) 3
3) 7
4) 5
5) 4
6) 8
7) 3.5
8) 4.5
9) 1.5
10) None of these
Solution
Let x+y=10x, y+z=23x, x+z=19x
Then, 2(x+y+z) = 10x+23x+19x = 52x
2*13 = 52x
x = 1/2
.'. x+y=10*(1/2)=5 --- (i)
y+z=23*(1/2)=23/2 ---(ii)
x+z=19*(1/2)=19/2 ---(iii)
Solving (i), (ii) & (iii), we get x=1.5, y=3.5, z=8
Correct Option: 6 Best Solution (1)
G.S.Kantharao   3 Months AGO
(x+y):(y+z):(x+z)=10:23:19
2(x+y+z)=52p=>x+y+z=26p
26p=13=>p=1/2=>(x+y)=10*1/2=5
(x+y+z)-(x+y)=13-5=8
My option is 6👈
Like? Yes (5) | No   

28 Mar 2022 Arithmetic

Rohit prepared a project report of 225 pages, where content and page numbers are printed on one side of a paper. Due to printing mistake one page was missing and Rohit sum up all page numbers to 25268. Which among the following is a missing page ?

OPtion

1) 137
2) 175
3) 159
4) 197
5) 169
6) 119
7) 157
8) 183
9) 154
10) None of these
Solution
Page numbers are 1,2,3,......,225
Sum of first n numbers = n(n+1)/2
.'. Sum of 225 pages = 225x226/2 = 25425
Given, sum of page numbers excluding missing page = 25268
Therefore, missing page number = 25425 - 25268 = 157
Correct Option: 7 Best Solution (4)
G.S.Kantharao   3 Months AGO
Sum pages is n(n+1)/2
=(225×226)÷2
=25425
Now missing page is =25425-25268=157
So My option no is 7👈
Like? Yes (4) | No   
Varun   3 Months AGO
Sum of first n natural numbers or pages = n.(n+1)/2
=> 25425-25268 = 157
Like? Yes (3) | No   
Mayank Kandoi   3 Months AGO
Total pages = 225
Total sum should be = 225*(1 + 225) / 2 = 25425
Total sum now = 25268
Missing sum = 25425 - 25268 = 157

Option 7
Like? Yes (3) | No (1)  
Pargat Pal Singh   3 Months AGO
Sum of first 225 numbers= 225x226/2= 25425
Sum of available page numbers= 25268
Missing page number = 25425-25268 = 157
Like? Yes (4) | No (2)  
Page: 341
FirstPrev123456789NextLast
  • Login
  • Register

Resend

Sponsored Links

Advertisements

Challenger of the Day

G.S.Kantharao
G.S.Kantharao
India
Andhra Pradesh
Time: 00:03:33
Points
17

Maths Quotes

If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.

Galileo Galilei

Mathematics is a Zeal.. If u are spending your time with Mathematics, I am sure you will never care about your watch..!

Ravi Ranjan Ojha

Placed User Comments

M4Math helped me a lot.

Vipul Chavan 1 year ago

Thanks m4 maths for helping to get placed in several companies.
I must recommend this website for placement preparations.

yash mittal 2 years ago
  • 2431K+Registerd user
  • 1702K+Engineers
  • 729K+MBA Asprirant
  • 3K+Enginnering College
  • 250+Company Exam
  • 150K+Interview Questions
  • Site Links
  • Home
  • Result
  • Today's Puzzle
  • Discussion Board
  • Maths Tricks
  • Advertise with us
  • Contact Us
  • Useful Info
  • Maths Quotes
  • Previous Puzzles
  • Prize
  • Privacy Policy
  • Disclaimer and Copyright
  • Terms and Conditions
  • Sitemap
  • Placement papers
  • TCS Placement Paper
  • HCL Placement Paper
  • INFOSYS Placement Paper
  • IBM Placement Paper
  • SYNTEL Placement Paper
  • TECHNICAL Interview
  • HR Interview
All rights are reserved to @m4maths.com