M4maths Previous Puzzles

27 Mar 2019 Area

If the diagonal of a rectangle is 18cm long and its perimeter is 48 cm. Find the area of the rectangle.

OPtion

1) 100 sq.cm
2) 112 sq.cm
3) 110 sq.cm
4) 116 sq.cm
5) 126 sq.cm
6) 120 sq.cm
7) 130 sq.cm
8) 140 sq.cm
9) 105 sq.cm
10) None of these

Solution

Let length = x and breadth = y then

2(x+y) = 48 => x+y = 24
x²+y² = 18² = 324
now (x+y)² = 24²
=> x²+y²+2xy= 576
=> 324+ 2xy = 576
=> xy = 126

Area = xy = 126 sq.cm

Correct Option: 5 Best Solution (4)

26 Mar 2019 Cost Price

If a tomato and potato together cost Rs. 54.00, a radish and a tomato cost Rs.27.00 and an potato cost Rs.27.00 more than a radish or a tomato then which of the following can be the price of a tomato

OPtion

1) 25
2) 24.5
3) 27
4) 28
5) 26.5
6) 13.5
7) 14
8) 15
9) 14.5
10) None of these

Solution

t+p=54
t+r=27
condition
p=t+27
p=r+27

t+t+27 = 54
t = 13.5

Correct Option: 6 Best Solution (0)

25 Mar 2019 Age

The present age of a brother is 3 years more than four times the age of his sister. Three years hence, brother’s age will be 6 years more than twice the age of the sister. Find the present age of the brother.

OPtion

1) 9
2) 12
3) 10
4) 15
5) 16
6) 14
7) 11
8) 18
9) 13
10) None of these

Solution

Let the sister’s present age be ‘n’ years.
=> brother’s present age = (4n + 3) years
So, according to the question
(4n + 3 + 3) = 2 (n + 3) + 6
=> 4n + 6 = 2n + 12
=> n = 3
Hence, brother’s present age = (4n + 3) = 15 years

Correct Option: 4 Best Solution (0)

22 Mar 2019 Probability

A woman who goes to work long before sunrise every morning gets dressed in the dark. In her socks drawer she has 9 black and 12 blue socks. What is the probability that her first pick was a black sock, but her second pick was a blue socks?

OPtion

1) 17/70
2) 8/35
3) 9/35
4) 19/70
5) 23/70
6) 7/36
7) 9/37
8) 6/35
9) 11/45
10) None of these

Solution

Probability= (9/21)*(12/20) = (3/7)*(3/5) = 9/35

Correct Option: 3 Best Solution (0)

21 Mar 2019 Calendar

Day after tomorrow is my birthday, on the same day next week falls 'Holi'. Today is Wednesday. What will be the day after 'Holi'?

OPtion

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

Solution

Today is Wednesday
Tomorrow would be Thursday
Day after tomorrow would be Friday
So Holi is on Friday and the day after holi would be Saturday

Correct Option: 9 Best Solution (3)

20 Mar 2019 Investment

In a business Nirav invests Rs.72000. After 6 months his uncle invests Rs.54,000. After one year they got a profit of Rs.22,000. Then uncle gets his share as

OPtion

1) 12000
2) 5000
3) 16000
4) 6000
5) 14000
6) 7000
7) 15000
8) 8000
9) 4000
10) None of these

Solution

Nirav=72,000(12months)
uncle=(54000)(6months)
72000*12 : 54000*6
4*2 : 3*1 = 8:3
uncle share= (3/11)(22000)=6000

Correct Option: 4 Best Solution (0)

19 Mar 2019 Rank

Pappu ranks twenty seventh in a class of fourty four. What is his rank from the last?

OPtion

1) 12
2) 13
3) 17
4) 18
5) 14
6) 19
7) 16
8) 20
9) 15
10) None of these

Solution

Rank from last: 44-27+1=15 = 18

Correct Option: 4 Best Solution (5)

18 Mar 2019 Ages

The total ages of X and Y is 23 years more than the total ages of Y and Z. How many years is Z younger than X?

OPtion

1) 12
2) 13
3) 15
4) 14
5) 16
6) 23
7) 21
8) 22
9) 24
10) None of these

Solution

x + y - (y+z) = 23
=> x - z = 23
Z is 23 yrs younger than X.

Correct Option: 6 Best Solution (0)

15 Mar 2019 Fraction

There are total 45 people. 21 speaks French and 17 speaks Spanish 9 do not speak any language. Which part of total people speaks both languages.

OPtion

1) 5/1
2) 4/1
3) 6/1
4) 3/1
5) 5/45
6) 4/45
7) 1/15
8) 2/15
9) 2/45
10) None of these

Solution

If x no of people speak both languages then

45 = 21 + 17 - x + 9
=> x=2
so part of total people speaks both languages = 2/45

Correct Option: 9 Best Solution (11)

14 Mar 2019 Profit & Loss

An article when sold at a gain of 5% yields Rs. 56 more than when sold at a loss of 15%. The cost price of the article is:

OPtion

1) 150
2) 200
3) 180
4) 240
5) 280
6) 320
7) 260
8) 270
9) 300
10) None of these

Solution

Let CP =100%
Also by formula SP%=CP%-loss%
SP%=CP%+Profit%
Thus we have SP%=105%..in profit
SP%=85%...in loss
Thus. (105-85)%=20%

So diff is 20 when CP was 100
For 56, CP = (100/20)*56 = 280

Correct Option: 5 Best Solution (0)