05. Quiz #3 - Q & A

 Hey everyone,

In this post, I will be providing you the answers for Quiz #3: https://youtu.be/6LaowPh6ERM

You can check your answers with this and comment your scores or opinions in the comment section below.
  • 84% of the people reading will not find the the mistake in this : 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' is repeated twice in this statement
  • If 5^a = 3125, then the value of 5^(a-3) is?
A. 25
B. 125
C. 625
D. 1625

Ans: A
Explanation: 
5^a  = 3125
5^(a-3) = 5^a/5^3 
Substitute the value of 5^a : 5^(a-3) = 3125/125 = 25
  • What five letter word becomes shorter when you add two letters to it?
short
short becomes shorter when you add two letters (e,r) to it.
  • Find the value of x in : 1120/sqrt(x) = 80
A. 3.74
B. 149.67
C. 196
D. 225

Ans: C
Explanation:
1120/sqrt(x) = 80
sqrt(x) = 1120/80 = 14
x = 14^2 = 196
  • What word looks the same upside down and backward?
SWIMS
  • If the cost of x metres is d dollars, then what is the cost of y metres of wire at the same rate?
A. xy/d
B. xd
C. yd
D. yd/x

Ans: D
Explanation: 
If cost of x metres is d dollars, then the rate is: d/x dollars per metre
Given that the rate is same, the cost of y metres of wire = d/x * y = yd/x
  • If 3^(x-y) = 27 and 3^(x+y) = 243, then x is equal to?
A. 0
B. 2
C. 4
D. 6

Ans: C
Explanation:
If 3^(x-y) = 27: (x-y) = cube root(27) = 3
x-y = 3 --- (1)
If 3^(x+y) = 243: (x+y) = cube root(243) = 5
x+y = 5 --- (2)

(1) + (2) ---> 2x = 3+5 = 8
2x = 8
x = 8/2
x = 4
  • Find the odd one out : 10, 25, 45, 54, 60, 75, 80
A. 10
B. 25
C. 54
D. 75

Ans: C
Explanation: It is neither a multiple of 5 nor an odd number. 
  • Find the value of x in : 128/x = x/32
A. 54
B. 68
C. 64
D. 48

Ans: C
Explanation: 128/x = x/32
128 * 32 = x * x
x^2 = 4096
x = sqrt(4096)
x = 64
  • If x^2 + 1/x^2 = 34, then x + 1/x = ?
A. 2
B. 4
C. 6
D. None of the above

Ans: C
Explanation: 
Add 2 to (x^2 + 1/x^2) ---> x^2 + 1/x^2 + 2 = 34 + 2
x^2 + 1/x^2 + 2 = 36
(x + 1/x)^2 = 36
x + 1/x = sqrt(36)
x + 1/x = 6 (+ or -)





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