M4maths Previous Puzzles

06 Dec 2019 Probability

What is the probability of picking up an alphabet card from a 52 card deck?

OPtion

1) 11/52
2) 3/13
3) 5/13
4) 7/13
5) 6/13
6) 4/13
7) 3/13
8) 2/13
9) 1/13
10) None of these

Solution

Alphabet cards are A, J, Q and K
Each of this would have 4 suites
So total number of alphabet cards =16
Probability = 16/52 = 4/13

Correct Option: 6 Best Solution (1)

05 Dec 2019 Solve

Given,
3+9+5 = 43
4+6+7 = 71
1+6+5 = 32
then
4+8+3 = ?

OPtion

1) 21
2) 23
3) 31
4) 33
5) 41
6) 43
7) 51
8) 35
9) 39
10) None of these

Solution

3+9+5 = 3^2 + 9 + 5^2 = 43
4+6+7 = 4^2 + 6 + 7^2 = 71
1+6+5 = 1^2 + 6 + 5^2 = 32

Then
4+8+3 = 4^2 + 8 +3^2 = 33

Correct Option: 4 Best Solution (0)

04 Dec 2019 Code Decode

If
GABBAR = 126
MOGAMBO = 195
SHAKAAL = 228

KAANCHA = ?

OPtion

1) 281
2) 285
3) 289
4) 193
5) 119
6) 211
7) 11
8) 141
9) 111
10) None of these

Solution

A=1, B=2, C=3....Z=26

Multiplication of value of first alphabet and last letter of each alphabet

So for KAANCHA
=> K = 11, A =1
=> 11x1 = 11

Correct Option: 7 Best Solution (2)

03 Dec 2019 Arithmetic

The sum of squares of three successive integers is 6629. Sum of these integers is?

OPtion

1) 121
2) 122
3) 123
4) 131
5) 113
6) 103
7) 102
8) 101
9) 141
10) None of these

Solution

(a-1)^2 + a^2 + (a+1)^2 = 6629
=> a^2 -2a + 1 + a^2 + a^2 + 2a + 1 = 6629
=> 3a^2 + 2 = 6629
=> a^2 = (20174-2)/3 = 2209
=> a = 47
So the 3 numbers are 46, 47 and 48 and their sum is 141

Correct Option: 9 Best Solution (3)

02 Dec 2019 Missing Number

Find the missing number:

17, 31, 65, 127, 257, ?

OPtion

1) 551
2) 557
3) 537
4) 531
5) 521
6) 511
7) 517
8) 524
9) 527
10) None of these

Solution

Each number is twice the previous one with 3 added or subtracted alternatively.

Correct Option: 6 Best Solution (0)

29 Nov 2019 Cost Price

A cycle is sold for Rs. 2360 and fetches a loss of 20%. Find the cost price of two cycles.

OPtion

1) 2950
2) 2850
3) 2925
4) 5980
5) 3050
6) 5900
7) 2920
8) 2590
9) 2990
10) None of these

Solution

If S.P. is Rs. 80, then C.P. is Rs. 100.
Now, when S.P. is Rs 2360, then the C.P. will be equal to = (100/80)*2360 = 2950

CP of 2 cyles = 2950 x 2 = 5900

Correct Option: 6 Best Solution (2)

28 Nov 2019 Distance-Speed

The speed of a car is 63 km/h if we don’t let it stop at any point. If the car stops at stops, the speed of the car is 54 km/h. What is the time in minutes that the car stops for per hour?

OPtion

1) 12.00
2) 8.00
3) 10.00
4) 16.00
5) 13.00
6) 7.57
7) 8.57
8) 9.12
9) 11.20
10) None of these

Solution

Distance = Speed × Time.
As the speed of the car is 63 km/h, it will cover 63 km in one hour. Similarly, when we let the car stop, it will cover 54 km/h. Therefore, due to stoppages, it covers 9 km lesser.
Time taken to cover 9 km = [(Distance/Speed)] = [(9/63)] h = (9/63)×60 min = 60/7 min = 8.57 min

Correct Option: 7 Best Solution (1)

27 Nov 2019 Measurement

A large milk-can holds twice the amount of milk a small milk-can hold. The capacity of a jug is 2 liters
If the large milk-can has a capacity of 12 liters. How many jugs of milks are needed to fill the 1 small milk-can to the brim?

OPtion

1) 1 jug
2) 1.5 jug
3) 6.0 jugs
4) 2.0 jugs
5) 2.25 jugs
6) 2.5 jugs
7) 2.75 jugs
8) 3.0 jugs
9) 4.0 jugs
10) 3.5 jugs

Solution

Capacity of small can 6 liter
Total number of jugs to fill 6 liters = 6/2 = 3

Correct Option: 8 Best Solution (0)

26 Nov 2019 Tickets

Mrs Shetty and her family went to the zoo. The price of tickets are as shown below:
Child 175
Adult 350

She spent exactly Rs. 2975 on the tickets. Which of the following choices could be one of the possible total number tickets (Child+Adult) did she buy?

OPtion

1) 5
2) 6
3) 7
4) 8
5) 18
6) 19
7) 16
8) 20
9) 21
10) None of these

Solution

Let the number of Child tickets be x and adult be y

175x + 350y = 2975
7x + 14y = 119
x + 2y = 17
Trying different combinations
x=1, y=8 => 9
x=3, y=7 => 10
x=5, y=6, => 11
x=7, y=5 => 12
x=9, y=4 => 13
x=11, y=3 => 14
x=13, y=2 => 15
x=15, y=1 => 16

Correct Option: 7 Best Solution (1)

25 Nov 2019 Days

Virat goes to the Coaching center every 3 days
Rohit goes to the same Coaching center every 4 days

If the two guys met at the coaching cnter on Friday, when will be the next time when the two guys would meet at coaching center again?

OPtion

1) Monday
2) Tuesday
3) Wednesday
4) Thursday
5) Friday or Saturday
6) Saturday or Sunday
7) Sunday or Monday
8) Friday
9) Saturday
10) Sunday

Solution

LCM of 3 and 4 is 12

12 days after Friday is Wednesday

Correct Option: 3 Best Solution (2)