Hey everyone,
In this post, I will be providing you the answers for Quiz #2: https://youtu.be/rSz9YZj6dQg
You can check your answers with this and comment your scores or opinions in the comment section below.
- There are two girls: one is facing North and the other is facing the South. Yet, they can see each other without mirrors. How is this possible?
They are standing opposite of each other so they can look at each other directly without mirrors.
- If you look at a clock and the time is 6:30, what is the angle between the hour and minute hands?
Angle traced by the hour hand in 6 hours 30 minutes = 360/12 * (6 + 30/60) = 30 * (6 + 0.5) = 30*6.5
= 195 degrees
Angle traced by the minute hand in 60 minutes = 360 degrees
Angle traced by the minute hand in 30 minutes = 30 * 360/60 = 30*6 = 180 degrees
Required angle = 195 - 180 = 15 degrees
- Which one of the following is not a prime number?
A. 31
B. 61
C. 71
D. 91
Ans: D
Explanation: 91 is not a prime number as it is divisible by 7
- (128 x 5^4) = ?
B. 87500
C. 80000
D. 88200
Ans: C
Explanation: 128 x (10/2)^4 = 128 * 10^4/ 2^4 = 128/ 16 * 10^4 = 8 x 10^4
- How can 8 + 8 = 4?
- Turn me on my side and I am everything. Cut me in half and I am nothing. What am I?
Turn 8 on its side and it will be infinity. Cut it in half and it will give you two 0s which are nothing.
- If one-third of one-fourth of a number is 20, what is four-tenth of that number?
B. 49
C. 96
D. 80
Ans: C
Explanation:
Let x = number
1/3 * 1/4 * x = 20
1/12 * x = 20
x = 20 * 12 = 240
4/10 * x = 4/10 * 240 = 4 * 24 = 96
- What is the only building you leave without entering?
You do not enter the hospital when leave it after your birth
- A two-digit number is such that the product of two digits is 8. When 18 is added to that number, the digits are reversed. The number is:
A. 18
B. 24
C. 42
D. 81
Ans: B
Explanation:
Method #1:
Multipliers of 8 = (1,8) (8,1) (2,4) (4,2)
18 + 18 = 36
81 + 18 = 99
24 + 18 = 42
42 + 18 = 60
24 is the only number whose digits are reversed when 18 is added.
Method #2:
xy = 8 ----- (1)
10x + y + 18 = 10y + x ----- (2)
Number = 10x + y
y = 8/x
10x - x + 18 = 10y - y
9x + 18 = 9y
9x + 18 = 9 (8/x)
9x + 18 = 72/x
9(x + 2) = 72/x
x + 2 = (72/x)/9
x + 2 = 8/x
x(x+2) = 8
x^2 + 2x = 8
x^2 + 2x - 8 = 0
x^2 + 4x - 2x - 8 = 0
x(x + 4) - 2(x+4) = 0
(x - 2)(x+4) = 0
x - 2 = 0 or x+4 = 0
x = 2 or x = -4
As x>0 : x = 2
y = 8/2 = 4
Number = 10*2 + 4 = 20 + 4 = 24
- Which is next in the sequence: B, F, J, N, R, ... ?
A. S
B. Q
C. V
D. O
Ans: C
Explanation: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z
The letters in the sequence have three letters between each of them. Therefore, the next letter in the sequence is V.
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