Question : The first, third and fourth terms of a proportion are 8, 16, and 6 respectively. What is the second term?
Option 1: 3
Option 2: 6
Option 3: 8
Option 4: 12
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Correct Answer: 3
Solution : Given: The first, third and fourth terms of a proportion are 8,16 and 6 respectively. Let the second term be $x$. According to the question, $8:x::16:6$ ⇒ $\frac{8}{x}=\frac{16}{6}$ ⇒ $16x=48$ ⇒ $x=3$ So, the second term is 3. Hence, the correct answer is 3.
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Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.
P 2 : R 4 :: D 5 : F 7 :: X 6 : ?
Option 1: Z 8
Option 2: Y 8
Option 3: Y 7
Option 4: Z 9
Question : If the third proportion of 3 and $x$ is 27 and the third proportion of 2 and $y$ is 8, then find $x : y$.
Option 1: 7 : 9
Option 2: 4 : 5
Option 3: 3 : 7
Option 4: 9 : 4
Question : Directions: Which two numbers should be interchanged, to make the given equation correct? 96 ÷ 6 – 16 + 12 × 8 = 40
Option 1: 6 and 16
Option 2: 96 and 16
Option 3: 6 and 8
Option 4: 6 and 12
Question : Directions: Select the option in which the numbers are related in the same way as the numbers of the following sets. (8, 12, 48) (6, 18, 54)
Option 1: (6, 12, 48)
Option 2: (4, 8, 12)
Option 3: (6, 8, 30)
Option 4: (4, 8, 16)
Question : The ratio of the speed of Aman, Kamal, and Manan is 2 : 3 : 4 respectively. What is the ratio of the time taken by Aman, Kamal, and Manan respectively to cover the same distance?
Option 1: 4 : 3 : 2
Option 2: 2 : 3 : 4
Option 3: 6 : 4 : 3
Option 4: 8 : 9 : 16
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