M4maths Previous Puzzles

14 Feb 2019 Valentine's Day

Four boys each sent a card to a different girl.

Rahul did not send a card to Aaliyah
Shubham sent a card to either Gehana or Pankhudi
Gehana did not receive a card from Amit or Ricky
Neither Amit nor Ricky sent a card to Ishika
Ricky would never send a card to Aaliyah
Pair up the boys and girls?

OPtion

1) Rahul-Pankhudi, Shubham-Gehana, Amit-Ishika, Ricky-Aaliyah
2) Rahul-Pankhudi, Shubham-Ishika, Amit-Gehana, Ricky-Aaliyah
3) Rahul-Ishika, Shubham-Pankhudi, Amit-Gehana, Ricky-Aaliyah
4) Rahul-Aaliyah, Shubham-Pankhudi, Amit-Gehana, Ricky-Ishika
5) Rahul-Gehana, Shubham-Aaliyah, Amit-Pankhudi, Ricky-Ishika
6) Rahul-Aaliyah, Shubham-Gehana, Amit-Pankhudi, Ricky-Ishika
7) Rahul-Ishika, Shubham-Aaliyah, Amit-Gehana, Ricky-Pankhudi
8) Rahul-Ishika, Shubham-Gehana, Amit-Aaliyah, Ricky-Pankhudi
9) Rahul-Gehana, Shubham-Pankhudi, Amit-Aaliyah, Ricky-Ishika
10) None of these

Solution

Lets make a matrix of possible combinations based on given options

Note X depends a combination which is not possible
* denotes the actual combination
A G P I
R X *
S *
A * X X
R X X * X

So the right answer is:
Rahul-Ishika, Shubham-Gehana, Amit-Aaliyah, Ricky-Pankhudi

Correct Option: 8 Best Solution (0)

13 Feb 2019 Calendar

Two brothers were expected to return here on the same day. Hardik returned 3 days earlier but Kunal returned 5 days later. If Hardik returned on Tuesday, what was the expected day when both the brothers were to return home and when did Kunal Return?

OPtion

1) Wednesday, Sunday
2) Friday, Thursday
3) Thursday, Tuesday
4) Saturday, Wednesday
5) Friday, Tuesday
6) Sunday, Wednesday
7) Friday, Wednesday
8) Saturday, Thursday
9) Monday, Friday
10) None of these

Solution

Answer is Friday, Wednesday
Hardik returned on Tuesday -i.e. 3 days earlier
so actual day to return home is Friday.
Kunal returned after 5 days so Wednesday

Correct Option: 7 Best Solution (3)

12 Feb 2019 Speed & Distance

A man has hurt his leg and is walking at 3/4th of the speed, he reaches his office late by 90 minutes. What is the usual time?

OPtion

1) 3 hours
2) 1.5 hours
3) 2 hours
4) 4.5 hours
5) 2.25 hours
6) 4 hours
7) 2.75 hours
8) 2.5 hours
9) 3.5
10) None of these

Solution

S1:S2=1:(3/4)
Since speed and time are inversely proportional. So t1:t2=3/4:1=3:4
Now,diff in time is 1.5 hrs. So,
4x-3x=1.5
X=1.5
So usual time is 3x = 4.5 hours
Option 4)

Correct Option: 4 Best Solution (5)

11 Feb 2019 Series

28, 38, ?, 62, 70, 77

OPtion

1) 50
2) 48
3) 51
4) 47
5) 52
6) 54
7) 46
8) 49
9) 53
10) None of these

Solution

28 + 2 + 8 = 38
38 + 3 + 8 = 49
49 + 4 + 9 = 62
62 + 6 + 2 = 70
70 + 0 + 7 = 77

Correct Option: 8 Best Solution (0)

08 Feb 2019 Prime Number

The sum of prime numbers between 0 to 20 is:

OPtion

1) 48
2) 75
3) 46
4) 67
5) 65
6) 64
7) 77
8) 69
9) 70
10) None of these

Solution

Sum of 2, 3, 5, 7, 11, 13, 17, 19 = 77

Correct Option: 7 Best Solution (0)

07 Feb 2019 Investment

Three friends A,B and C invested Rs. 7,000, Rs.11,000 and 13,000 respectively in a business. If the annual profit is Rs. 6200 then share of B is

OPtion

1) 2200
2) 1400
3) 1600
4) 2600
5) 2000
6) 2400
7) 2700
8) 2800
9) 2500
10) None of these

Solution

the ratio of investment is 7:11:13 and sum of the investment ratio is 31
then the ratio of B is 11 then (11/31)*6200= 2200

Correct Option: 1 Best Solution (0)

06 Feb 2019 Factors

How many factors of 823851904000 are odd number?

OPtion

1) 12
2) 8
3) 16
4) 18
5) 25
6) 15
7) 30
8) 36
9) 24
10) None of these

Solution

823851904000 = 2^10 * 5^3 *23^5

Any factor of this number should be of the form 2^a * 5^b * 23^c.
For the factor to be a odd number a should be 0

b can take values 0, 1, 2, 3
and c can take values 0, 1, 2, 3, 4, 5

Total number of odd factor = 4 * 6 = 24

Correct Option: 9 Best Solution (0)

05 Feb 2019 Stocks

The market value of a 7.5% stock, in which an income of Rs. 143 is derived by investing Rs. 1700, brokerage being 1/2 %, is:

OPtion

1) 88.25
2) 88.66
3) 88.00
4) 89.21
5) 89.16
6) 88.96
7) 88.85
8) 88.45
9) 88.60
10) None of these

Solution

For an income of Rs. 143, investment = Rs. 1700

For an income of Rs. 7.5, investment = Rs. (1700/143) * 7.5 = 89.16
For a Rs. 100 stock, investment = Rs. 89.16

Market value of Rs. 100 stock = Rs. 89.16 - 0.5 = Rs. 88.66

Option 2)

Correct Option: 2 Best Solution (0)

04 Feb 2019 Divisibility

How many numbers between the numbers 0 to 161 are there which are exactly divisible by 9 but not by 4?

OPtion

1) 7
2) 8
3) 11
4) 9
5) 10
6) 13
7) 6
8) 14
9) 12
10) None of these

Solution

Divisible by 9 are 9,18,27,36,45,54,63,72,81,90,99,108,117,126,135, 144, 153
Divisible by 4 are 36,72,108 and 144
So, divisible by 9 but not by 4 = 17-4 = 13

Correct Option: 6 Best Solution (0)

01 Feb 2019 Profit and Loss

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

OPtion

1) 28.12
2) 27.21
3) 28.21
4) 29.31
5) 26.21
6) 25.21
7) 26.12
8) 29.12
9) 28.02
10) None of these

Solution

Let the CP of 1000 gm (1 kg) be Rs. 1000
Then CP of 780 gm = Rs 780
SP of 780gm = Rs 1000

Profit = (1000-780)*100/780 = (220/780)*100 = 28.21

Option 3)

Correct Option: 3 Best Solution (0)