Question : If a : b = c : d, then which of the following ratios is equal to a : c?
Option 1: a : d
Option 2: b : c
Option 3: a + d : b + c
Option 4: a + b : c + d
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Correct Answer: a + b : c + d
Solution : $a : b = c : d$ ⇒ $\frac{a}{b}$ = $\frac{c}{d}$ ⇒ $\frac{a}{b}$ + 1 = $\frac{c}{d}$ + 1 ⇒ $\frac{a+b}{b}$ = $\frac{c+d}{d}$ ⇒ $\frac{b}{d}$ = $\frac{a+b}{c+d}$ So, b : d = (a + b) : (c + d) Again, a : b =c : d ⇒ $\frac{a}{b}$ = $\frac{c}{d}$ ⇒ $\frac{a}{c}$ = $\frac{b}{d}$ Therefore, a : c = b : d = (a + b) : (c + d) Hence, the correct answer is (a + b) : (c + d).
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Question : If A is equal to 20% of B and B is equal to 25% of C, then what percentage of C is equal to A?
Option 1: 10
Option 2: 15
Option 3: 5
Option 4: 20
Question : Match the following:
A. Mohenjo-daro 1. Statue of a priest
B. Harappa 2. Port
C. Kalibangan 3. Plough marks
D. Lothal 4.The Great Bath
Option 1: A - 4, B - 1, C - 3, D - 2
Option 2: A - 3, B - 2, C - 4, D - 1
Option 3: A - 2, B - 3, C - 1, D - 4
Option 4: A - 1, B - 4, C - 2, D - 3
Question : If $a+b=2c$, then the value of $\frac{a}{a–c}+\frac{c}{b–c}$ is equal to (where $a\neq b\neq c$):
Option 1: $–1$
Option 2: $1$
Option 3: $0$
Option 4: $\frac{1}{2}$
Question : Directions: If A denotes +, B denotes –, C denotes × and D denotes ÷, then which of the following equations is true?
Option 1: 8 B 6 D 2 A 4 C 3 = 15
Option 2: 8 A 8 B 8 C 8 = – 48
Option 3: 9 C 9 B 9 D 9 A 9 = 17
Option 4: 3 A 3 B 3 C 3 A 3 D 3 = 4
Question : If $c+ \frac{1}{c} =\sqrt{3}$, then the value of $c^{3}+ \frac{1}{c^{3}}$ is equal to:
Option 1: 0
Option 2: $\sqrt[3]{3}$
Option 3: $\frac{1}{\sqrt{3}}$
Option 4: $\sqrt[6]{3}$
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