Question : I have x marbles, my elder brother has 3 more than me, while my younger brother has 3 less than me. If the total number of marbles is 15, the number of marbles that I have is:
Option 1: 3
Option 2: 5
Option 3: 8
Option 4: 7
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Correct Answer: 5
Solution : Suppose, I have x marbles. My elder brother has (x + 3) marbles, My younger brother has (x – 3) marbles. According to the question, ⇒ x + (x + 3) + (x – 3) = 15 ⇒ 3x + 3 – 3 = 15 ⇒ 3x = 15 ⇒ x = 5 Hence, the correct answer is 5.
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Question : The pH of lemon juice is expected to be
Option 1: equal to 7
Option 2: nothing can be predicted
Option 3: less than 7
Option 4: more than 7
Question : Select the grammatically correct version of the following sentence. He was youngest than his brother.
Option 1: He was younger than his brother.
Option 2: He was youngest to his brother.
Option 3: He was too young than his brother.
Option 4: He was young to his brother.
Question : If $\sec A=\frac{17}{15}$, then what is the value of $\cot A$?
Option 1: $\frac{15}{21}$
Option 2: $\frac{15}{7}$
Option 3: $\frac{8}{15}$
Option 4: $\frac{15}{8}$
Question : If $2 x+\frac{2}{x}=5$, then the value of $\left(x^3+\frac{1}{x^3}+2\right)$ will be:
Option 1: $\frac{81}{11}$
Option 2: $\frac{81}{7}$
Option 3: $\frac{71}{8}$
Option 4: $\frac{81}{8}$
Question : If $x+\frac{2}{x}=1$, then the value of $\frac{x^2+7x+2}{x^2+13x+2}$ is:
Option 1: $\frac{5}{7}$
Option 2: $\frac{3}{7}$
Option 3: $\frac{4}{7}$
Option 4: $\frac{2}{7}$
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