M4maths Previous Puzzles

04 Jul 2019 Series

What is the next term of following series:
67, 71, 73, 79, 83, 89

OPtion

1) 91
2) 93
3) 101
4) 103
5) 95
6) 97
7) 99
8) 92
9) 105
10) None of these

Solution

Series is formed by prime number starting at 67 so next prime number is 97
Option 6)

Correct Option: 6 Best Solution (6)

03 Jul 2019 Simple Interest

How much amount would a person receive if he invests a sum of Rs. 13500 at the rate of 6.5% of simple interest for 13 years in a bank. Please note that bank levies a charge of Rs. 125 on every fixed deposit.

OPtion

1) 17125
2) 11407.5
3) 11282.5
4) 17000
5) 17200
6) 29550
7) 24782.5
8) 24907.5
9) 29525
10) None of these

Solution

SI = PRT/100 = 13500*13*6.5/100 = 13812.5

A = 13500 + 11407.5
= 24907.5

Amount received = 24907.5 - 125 = 24782.5

Correct Option: 7 Best Solution (3)

02 Jul 2019 Arithmetic

One-third of five-nineth of a number is 37.5% of 1800. What is the number?

OPtion

1) 3175
2) 3250
3) 3375
4) 3895
5) 3550
6) 3645
7) 3350
8) 3475
9) 3950
10) None of these

Solution

If no is x, then
x* 1/3 * 5/9 = 1800*37.5/100
=> x= 3645

Correct Option: 6 Best Solution (5)

01 Jul 2019 Age

The present age of a brother is 2 years more than five times the age of his sister. Four years hence, brother’s age will be 4 years more than thrice the age of the sister. Find the present age of the brother.

OPtion

1) 18
2) 22
3) 10
4) 15
5) 27
6) 24
7) 21
8) 28
9) 30
10) None of these

Solution

Let the sister’s present age be ‘n’ years.
=> brother’s present age = (5n + 2) years
So, according to the question
(5n + 2 + 4) = 3 (n + 4) + 4
=> 5n + 6 = 3n + 16
=> n = 5
Hence, brother’s present age = (5n + 2) = 27 years

Correct Option: 5 Best Solution (2)

28 Jun 2019 Area

The length, breadth and height of a room are in the ratio 11:5:7. If the breadth is doubled, length is increased by 4 times while the height is halved. Then the total area of the 4 walls of the room will:

OPtion

1) Increase by 65.00%
2) Increase by 57.50%
3) Increase by 52.25%
4) Increase by 68.75%
5) Increase by 58.25%
6) Increase by 55.25%
7) Increase by 62.75%
8) Increase by 68.25%
9) Increase by 75.65%
10)None of these

Solution

l:b:h=11:5:7


Area of 4 walls = 2*(l+b)*h

Inital Area:
Let h=7x, b=5x and l=11x
Area of 4 walls = 2*(11x+5x)*7x = 224x^2

New dimensions when breadth is doubled, length is increased by 4 times and the height is halved
l1=44x
b1=10x
h1=3.5x

New Area
Area2= 2*(44x+10x)* 7x/2x = 378x^2
% Increase in area = (378 - 224)/224 = 68.75%

Option 4)

Correct Option: 4 Best Solution (1)

27 Jun 2019 Time and Distance

Shaktiman saw a criminal at a distance of 150m. When Shaktiman started chasing him the criminal also started running. If the ratio of Speeds of Shaktiman to Criminal is 6:5. Then how much distance did Shaktiman run to catch the Criminal?

OPtion

1) 750m
2) 775m
3) 725m
4) 500m
5) 733m
6) 850m
7) 475m
8) 900m
9) 650m
10) None of these

Solution

Let the distance traveled by criminal before he is caught be x

Time taken by Shaktiman = Time taken by Robber

(150 + x)/6 = x/5
=> 750 + 5x = 6x
=> x = 750 m
Distance traveled by Shaktiman = 750+150 = 900m

Correct Option: 8 Best Solution (0)

26 Jun 2019 Stocks

The market value of a 7% stock, in which an income of Rs. 420 is derived by investing Rs. 6000, brokerage being 3/4 %, is:

OPtion

1) 99.21
2) 99.84
3) 99.59
4) 99.15
5) 99.25
6) 99.96
7) 99.75
8) 99.46
9) 99.60
10) None of these

Solution

For an income of Rs. 420, investment = Rs. 6000

For an income of Rs. 7, investment = Rs. (6000/420) * 7 = 100
For a Rs. 100 stock, investment = Rs. 100

Market value of Rs. 100 stock = Rs. 100 - 0.75 = Rs. 99.25

Option 5)

Correct Option: 5 Best Solution (0)

25 Jun 2019 Find the value of

8x - 6y = 26 and 11x - 9y = 8
Find value of 2y-2x = ?

OPtion

1) 20
2) 5
3) 18
4) 6
5) 24
6) 12
7) 36
8) 4
9) 8
10) None of these

Solution

8x - 6y = 26 ---- (i)
11x - 9y = 8 ---- (ii)

Subtracting (ii) from (i), we get:
3y - 3x = 18
=> y - x = 6
=> 2y -2x =12
Option 6)

Correct Option: 6 Best Solution (0)

24 Jun 2019 Age

The ratio of ages of two persons is 4 : 7 and one is 27 years older than the other. Find the sum of their ages.

OPtion

1) 89
2) 109
3) 99
4) 45
5) 54
6) 63
7) 36
8) 77
9) 97
10) None of these

Solution

Suppose ages are x and y
Let the age of first be 4x so age second person becomes 7x
As per question 7x-4x =27
Solving we get x = 9

So age of first person is 4x = 36 and second person is 7x= 63
Sum = 99

Correct Option: 3 Best Solution (2)

20 Jun 2019 Perfect Square

How many factors of 4412166264 are perfect squares?

OPtion

1) 36
2) 16
3) 12
4) 32
5) 15
6) 30
7) 18
8) 24
9) 27
10) None of these

Solution

4412166264 = 31^3 * 17^1 * 11^2 * 3^2 * 2^3

Any factor of this number should be of the form 31^a * 17^b * 11^c * 3^d * 2^e

For the factor to be a perfect square a,b,c,d,e have to be even.

a can take values 0,2
b can take values 0,
c can take values 0, 2
d can take values 0, 2,
and e can take values 0, 2


Total number of perfect squares = 2*1*2*2*2 = 16

Option 2)

Correct Option: 2 Best Solution (5)