M4maths Previous Puzzles

25 Oct 2019 Percentage

Facebook user base grows by 2.1 % every quarter. If the Facebook user-base was 2.32 billion on 31st December 2018, What would be its user base on 30th September 2019?
(Round your results to two decimal places.)

OPtion

1) 2.67 billion
2) 2.57 billion
3) 2.37 billion
4) 2.87 billion
5) 2.47 billion
6) 2.49 billion
7) 2.51 billion
8) 2.61 billion
9) 2.63 billion
10) None of these

Solution

2.32 * (1.021)^3 = 2.469 = 2.47

Correct Option: 5 Best Solution (3)

24 Oct 2019 Area

If the diagonal of a rectangle is 23cm long and its perimeter is 52 cm. Find the area of the rectangle in sq. cm.

OPtion

1) 73.5
2) 147
3) 148
4) 150
5) 140
6) 144
7) 145
8) 77.5
9) 74.5
10) None of these

Solution

Let length = x and breadth = y then

2(x+y) = 52
=> x+y = 26
x²+y² = 23² = 529
now (x+y)² = 26² = 676
=> x²+y²+2xy= 676
=> 529 + 2xy = 625
=> xy = 73.5
area = xy = 73.5 sq.cm

Option 1)

Correct Option: 1 Best Solution (6)

23 Oct 2019 Series

Whats the next alphabet of following series:
B,
C,
E,
G,
K,
M,
Q,
?

OPtion

1) R
2) S
3) T
4) U
5) V
6) W
7) X
8) Y
9) Z
10) None of these

Solution

The numbers corresponding to the letter sequence are the prime numbers:

B, C, E, G, K, M, Q, S =
2, 3, 5, 7, 9, 13, 17, 19

Correct Option: 2 Best Solution (3)

22 Oct 2019 Next Term

HY, JU, LQ, NM, ?

OPtion

1) QJ
2) QL
3) QI
4) QK
5) OJ
6) OI
7) OK
8) PK
9) PI
10) None of these

Solution

The first letter of the given series is formed by adding 2 letters
So H+2 = J, J+2 = L, L+2= N, N+2 = P
2nd letter is formed in the revers direction by subtracting 4 letters
So Y - 4 = U, U - 4 = Q, Q - 4 = M, M - 4 = I

PI

Correct Option: 9 Best Solution (2)

21 Oct 2019 Speed

Ram starts his journey from Sri Lanka to Ayodhya on 8th October 2019. Given the fact that the distance between Sri Lanka and Australia is 3146 KMs. Given that he covers 6.6 KMs every hour. How long will it take him to reach Ayodhya?

OPtion

1) 467.67 hours
2) 476.76 hour
3) 476 hours 67 minutes
4) 476 hours 45 minutes
5) 476 hours 40 minutes
6) 20 days
7) 18.86 days
8) 19.16 days
9) 476.87 hours
10) None of these

Solution

Speed per hour = 6.6 KM/hr
Time taken = Distance / Speed = 3146/6.6 = 476.67 hours = 476 hours 40 minutes = 19.86 days

Correct Option: 5 Best Solution (2)

18 Oct 2019 Direction

A man moves 4 m. towards east then 3 m. towards left after then 8 m. towards right then 6 m. towards right then 16 m. towards right. Finally he moves 4m towards north followed by 6 m. towards right. What is his distance from the starting point.

OPtion

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

Solution

Use a graph to obtain the result.
Distance = √(1^2+2^2)
=> √5.
Option 10)

Correct Option: 10 Best Solution (2)

17 Oct 2019 Area

A rectangular plot is twice as long as it is broad. The area of the plot is 32/9 hectares. The length of the plot in meters is

OPtion

1) 800/3
2) 400/3
3) 200/3
4) 700/3
5) 600/7
6) 800/7
7) 500/7
8) 1600/3
9) 1600/7
10) None of these

Solution

Let breadth = x
Then length = 2 x in metres
Then x * 2 x = 32/9*1000
So, x = 4/3*100 = 400/3
Therefore Length of plot = 2 * 400/3 = 800/3 m

Correct Option: 1 Best Solution (1)

16 Oct 2019 Solve

If 4^(2x) = 1/32 , then x is

OPtion

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

Solution

4^(2x) = 1/32
=> 2^4x = 1/(2^5)
=> 2^4x = 2^-5)
=> x = -5/4

Correct Option: 7 Best Solution (1)

15 Oct 2019 Happy Birthday Kalam Sir!

The rank of the word KALAM in the dictionary of all the words formed by the letters of the word KALAM is?

OPtion

1) 27
2) 19
3) 31
4) 21
5) 41
6) 19
7) 26
8) 28
9) 29
10)None of these

Solution

Rank is 27

Correct Option: 1 Best Solution (1)

14 Oct 2019 Stocks

The market value of a 6.5% stock, in which an income of Rs. 390 is derived by investing Rs. 6300, brokerage being 3/4 %, is:

OPtion

1) 105.00
2) 105.75
3) 104.75
4) 104.25
5) 105.25
6) 104.96
7) 105.75
8) 104.46
9) 104.60
10) None of these

Solution

For an income of Rs. 390, investment = Rs. 6300

For an income of Rs. 6.5, investment = Rs. (6300/390) * 6.5 = 105
For a Rs. 100 stock, investment = Rs. 105

Market value of Rs. 100 stock = Rs. 105 - 0.75 = Rs. 104.25

Correct Option: 4 Best Solution (0)