Question : Directions: In a group of 15 people, 7 read German, 8 read Spanish, while 3 of them read none of these two. Find how many of them read both German and Spanish.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 5
Correct Answer: 3
Solution : Given: Total number of people = 15 Number of persons who read Spanish = 8 Number of persons who read German = 7 Number of persons who read neither German nor Spanish = 3
⇒ Total number of people = Number of people who read German + Number of people who read Spanish – Number of people who read both + Number of people who read neither German nor Spanish ⇒ 15 = 7 + 8 – Number of people who read both + 3 ⇒ Number of people who read both = 7 + 8 – 15 + 3 ⇒ Number of people who read both = 18 – 15 ⇒ Number of people who read both = 3
So, only 3 persons read both German and Spanish. Hence, the third option is correct.
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Question : The greatest fraction among $\frac{2}{3}, \frac{5}{6}, \frac{11}{15} \text{ and } \frac{7}{8} \text{ is:}$
Option 1: $\frac{7}{8}$
Option 2: $\frac{11}{15}$
Option 3: $\frac{5}{6}$
Option 4: $\frac{2}{3}$
Question : Directions: If 1 / 4 / 3 = 254 and 3 / 6 / 8 = 479, then 5 / 2 / 7 = ?
Option 1: 416
Option 2: 461
Option 3: 368
Option 4: 638
Question : If $x^2+\frac{1}{x^2}=\frac{7}{4}$ for $x>0$, what is the value of $(x^3+\frac{1}{x^3})$?
Option 1: $\frac{3\sqrt{3}}{5}$
Option 2: $\frac{3\sqrt{15}}{5}$
Option 3: $\frac{3\sqrt{15}}{8}$
Option 4: $\frac{3\sqrt{5}}{8}$
Question : What should be the value in place of (?) in $7 \frac{5}{8}+\frac{5}{8}$ of $184 × 15 ÷ 5 - (?) = 0$.
Option 1: $-352 \frac{5}{8}$
Option 2: $152 \frac{1}{8}$
Option 3: $-152 \frac{1}{8}$
Option 4: $352 \frac{5}{8}$
Question : $\frac{1}{3-\sqrt{8}}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-2}=?$
Option 1: 5
Option 2: 4
Option 4: 2
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