1. The value of (6^(-1) * 7^2 / 6^2 * 7^(-4))^(7/2) x (6^2 * 7^3 / 6^3 * 7^(-5))^(-5/2) is
A) 0
B) 252
C) 250 ✓
D) 248
CA Foundation Paper 3
Ratio and Proportion, Indices, Logarithms MCQ
Chapter 1 • 109 Questions from ICAI Study Material
Questions
109
Est. Time
82 min
Source
ICAI Book
Question 1 of 109 0 correct | 0 wrong
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Sample Questions: Ratio and Proportion, Indices, Logarithms
Preview 8 of 109 MCQs from Chapter 1
2. The value of x^(2/7) / z^(-1/2) x x^(2/5) / z^(2/3) x x^(-9/7) / z^(2/3) x z^(5/6) / x^(-3/5) is
A) 1 ✓
B) -1
C) 0
D) None
3. On simplification 2^(x+3) x 3^(2x-y) x 5^(x+y+3) x 6^(y+1) / (6^(x+1) x 10^(y+3) x 15^x) reduces to
A) -1
B) 0
C) 1 ✓
D) 10
4. If 9^y * 3^2 * (3^(-y))^(-1) - 27^y / 3^(3x) * 2^3 = 1/27 then x - y is given by
A) -1
B) 1
C) 0 ✓
D) None
5. Show that (x^(1/(a-b)))^(1/(a-c)) x (x^(1/(b-c)))^(1/(b-a)) x (x^(1/(c-a)))^(1/(c-b)) is given by
A) 1 ✓
B) -1
C) 3
D) 0
6. Show that 16(32)^x - 2^(3x-2) * 4^(x+1) / 15(2)^(x-1) * (16)^x - 5(5)^(x-1) / sqrt(5^(2x)) is given by
A) 1 ✓
B) -1
C) 4
D) 0
7. Show that (x^a / x^b)^(a+b) x (x^b / x^c)^(b+c) x (x^c / x^a)^(c+a) is given by
A) 0
B) -1
C) 3
D) 1 ✓
8. Show that (a+b)th root of (x^(a^2) / x^(b^2)) x (b+c)th root of (x^(b^2) / x^(c^2)) x (c+a)th root of (x^(c^2) / x^(a^2)) reduces to
A) 1 ✓
B) 0
C) -1
D) None