M4maths Previous Puzzles

30 Jan 2019 Series

Find the next term of the series 39, 43, 51, 67, 99, ?

OPtion

1) 121
2) 125
3) 131
4) 123
5) 147
6) 163
7) 164
8) 148
9) 153
10) None of these

Solution

Answer is 163
The difference of each successive term is 4,8,16,32 and the next difference shall be 64.
And hence the last term is 99+64=163

Correct Option: 6 Best Solution (13)

29 Jan 2019 Party

In a party attended by 21 persons, each clinch their glass with every other. How many glass clinches?

OPtion

1) 200
2) 105
3) 125
4) 121
5) 220
6) 201
7) 210
8) 205
9) 216
10) None of these

Solution

Total no. of person = 21
Total no. of glass clinches = n(n-1)/2
=21*20/2
= 210

Correct Option: 7 Best Solution (0)

28 Jan 2019 Banana's Eaten

Lakhan ate 72 bananas in six days, each day eating 4 more than the previous day. How many bananas did he eat on the second day?

OPtion

1) 2
2) 3
3) 1
4) 6
5) 8
6) 4
7) 5
8) 10
9) 12
10) None of these

Solution

let the number of bananas eaten in first day be x
for consecutive six days: x,x+4, x+8, x+12, x+16, x+20

Sum = 72
So 6x + 4 + 8 + 12 + 16 + 20 = 6x + 60
So 6x + 62 = 72
6x = 12
x =2

So number of bananas eaten on second day x+4 = 2+4 =6

Correct Option: 4 Best Solution (5)

25 Jan 2019 Rank of the word

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

OPtion

1) 564
2) 563
3) 569
4) 571
5) 570
6) 572
7) 555
8) 554
9) 553
10) None of these

Solution

Answer: 571

VALENTINES
Lets arrange the letters alphabetically INDIANS => ADIINNS

Words starting with A = 6!/(2!*2!) = 180
Words starting with D = 6!/(2!*2!) = 180
Words starting with IA = 5!/(2!) = 60
Words starting with ID = 5!/(2!) = 60
Words starting with II = 5!/(2!) = 60

Words starting with INA = 4! = 24

Words starting with INDA = 3! = 6

And next word is INDIANS = 1
Sum of all = 571

Correct Option: 4 Best Solution (0)

24 Jan 2019 Series

Find the next terms of the following sequence
4096, 2048, 2040, 1020, 1012, 506, ?, ?

OPtion

1) 500, 250
2) 496, 248
3) 498, 249
4) 502, 251
5) 504, 252
6) 498, 239
7) 496, 248
8) 500, 249
9) 598, 249
10) None of these

Solution

Answer: 498, 249

4096/2= 2048 , 2048-8=2040
2040/2 = 1020, 1020-8 = 1012
1012/2 = 506, 506 - 8 = 498
498/2 = 249

Correct Option: 3 Best Solution (5)

23 Jan 2019 Mixture

A mixture contains sugar solution and colored water in the ratio 4 : 3. If 14 liters of colored water is added to the mixture, the ratio becomes 2 : 5. Find the initial quantity of sugar solution in the given mixture (in liters).

OPtion

1) 2
2) 3
3) 4
4) 5
5) 6
6) 7
7) 8
8) 9
9) 10
10) None of these

Solution

The initial ratio is 4 : 3.
Let ‘k’ be the common ratio.
=> Initial quantity of sugar solution = 4 k
=> Initial quantity of colored water = 3 k
=> Final quantity of sugar solution = 4 k
=> Final quantity of colored water = 3 k + 14
Final ratio = 4 k : 3 k + 14 = 2 : 5
=> 20 k = 6 k + 28
=> k = 2
Therefore, initial quantity of sugar solution in the given mixture (in liters) = 4 k = 8 liter

Correct Option: 7 Best Solution (5)

22 Jan 2019 Probability

What is the probability of getting all the 6 spoiled eggs from a supplier if the probability of one spoiled egg is 0.29?

OPtion

1) 0.0005918
2) 0.0005848
3) 0.0005048
4) 0.0005928
5) 0.0005908
6) 0.0005948
7) 0.0006948
8) 0.0005348
9) 0.0005998
10) None of these

Solution

Probability of one spoiled eggs = 0.29
Probability of six spoiled egg = (0.29)^6 = 0.000594823321 = ~0.0005948

Correct Option: 6 Best Solution (0)

21 Jan 2019 Direction

Majnu Bhai is facing northwest. He turns 90 degrees in the clockwise direction, then he turns 45 degrees in the anti-clockwise direction and finally he turns 135 degree in clockwise direction. Which direction is he facing now?

OPtion

1) Esst
2) North East
3) North West
4) West
5) South
6) North
7) South West
8) South East
9) North East or North West
10) None of these

Solution

Clockwise turns = 90+135 = 225
Anti-Clockwise turn = -45
Consolidated turn in clockwise direction = 225-45 = 180 degrees
Majnu bhai initially was facing north west direction, so on turning 180 degrees in clockwise the new direction would be south east

Correct Option: 8 Best Solution (2)

18 Jan 2019 Series

Fine the sixth term of the series:
1, 6, 21, 60, ...

OPtion

1) 155
2) 150
3) 165
4) 175
5) 145
6) 215
7) 230
8) 315
9) 135
10) None of these

Solution

nth term of Series is = n*(2^n - 1)
1st term = 1*(2^1 -1 ) = 1
4th term = 4*(2^4 -1 ) = 60
6th term = 6*(2^6 - 1 ) = 378

Correct Option: 10 Best Solution (0)

17 Jan 2019 Number

A number consists of 3 digits whose sum is 10. The middle digit is equal to the difference of the other two and the number will be increased by 99 if its digits are reversed. The square of the number is:

OPtion

1) 164036
2) 168100
3) 180625
4) 172225
5) 264196
6) 254016
7) 164025
8) 180616
9) 179776
10) None of these

Solution

let the digits of the No. be x. y & z
Hence, x+y+z=10.................(1)
z-x=y..............(2)

AS per the condition
(100z+10y+x)-(100x+10y+z)=99
=> z-x=1 -----(3)

Form (2) and (3), we deduce y=1

From equation (1) and (2)
we get,
x+z=9 and
z-x =1

Solving we get z= 5 and x = 4

So the number is 415 and its square is = 172225

Correct Option: 4 Best Solution (0)