Question : There are 24 peaches, 36 apricots, and 60 bananas, and they have to be arranged in several rows in such a way that every row contains the same number of fruits of only one type. What is the minimum number of rows required for this to happen?
Option 1: 12
Option 2: 9
Option 3: 10
Option 4: 6
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Correct Answer: 10
Solution : Minimum number of rows = Maximum number of fruits in a line HCF of 24 peaches, 36 apricots, and 60 bananas = HCF of 24, 36, 60 = 12 Minimum number of rows = $\frac{24}{12} +\frac{36}{12} +\frac{60}{12}$ = (2 + 3 + 5) = 10 Hence, the correct answer is 10.
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Question : A fruit seller buys 480 bananas for INR 1,200. Some of these bananas are rotten and hence, they are thrown away. He sells the remaining bananas at INR 3.5 each and makes a profit of INR 396. What is the percentage of bananas thrown away?
Option 1: 6%
Option 2: 4.5%
Option 3: 5%
Option 4: 4%
Question : A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in the last row is:
Option 1: 37
Option 2: 32
Option 3: 63
Option 4: 47
Question : If $x^{2}+\frac{1}{x^{2}}=1$, then, what is the value of $x^{48}+x^{42}+x^{36}+x^{30}+x^{24}+x^{18}+x^{12}+x^{6}+1$?
Option 1: – 9
Option 2: 0
Option 3: 1
Option 4: 9
Question : The selling price of 6 bananas is equal to the cost price of 8 bananas. Then the percentage of profit is:
Option 1: $20\%$
Option 2: $33\frac{1}{3}\%$
Option 3: $25\%$
Option 4: $30\%$
Question : Which of the following statements below is incorrect?
Option 1: Every natural number is an integer.
Option 2: Every natural number is a real number.
Option 3: Every real number is a rational number.
Option 4: Every integer is a rational number.
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