71. What number should replace X? (Table shown: Row 1 = 2, 7, 4, 5, 8, 2, 1; Row 2 = 9, 11, 9, X, 10, 3, ?)
(A) 8
(B) 10
(C) 11
(D) 13
Answer:
Explanation:
The number in the bottom row is the sum of the two numbers immediately above it in the top row. 2+7=9, 7+4=11, 4+5=9. For X: 5+8=13.
72. Change into the logarithm form 5³ = 125
(A) log₃ 125 = 5
(B) log₅ 125 = 3
(C) log₃ 5 = 125
(D) log₅ 3 = 125
Answer:
Explanation:
The logarithmic form of the exponential equation a^b = c is logₐ c = b. Thus, 5³ = 125 becomes log₅ 125 = 3.
73. If y=eˣ then dy/dx?
(A) xeˣ⁻¹
(B) xe
(C) ex⁻¹
(D) eˣ
Answer:
Explanation:
One of the fundamental rules of calculus is that the derivative of the natural exponential function, e^x, is the function itself, e^x.
74. 25ᵗʰ term of the series (AP) 8, 13, 18, 23, 28 ………
(A) 113
(B) 123
(C) 128
(D) 133
Answer:
Explanation:
The first term a = 8 and the common difference d = 5. The nth term formula is T_n = a + (n-1)d. So T_25 = 8 + (25-1)5 = 8 + 120 = 128.
75. Two sets A = {1, 5, 9, 13, 15} and B = {15, 9, 13, 1, 5} are said to be
(A) Equality of set
(B) Null set
(C) Set of Equivalency
(D) Single set
Answer:
Explanation:
Two sets are equal if they contain exactly the same elements. The order in which elements are listed does not matter.
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