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 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 : Directions: Select the option that is related to the fourth number in the same way as the first number is related to the second number and the fifth number is related to the sixth number. 22 : 132 :: ? : 72 :: 24 : 144
Option 2: 8
Option 3: 18
Option 4: 36
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 9 : 30 :: 11 : 36 :: 13 : ?
Option 1: 42
Option 2: 45
Option 3: 48
Option 4: 39
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.
Question : The sides of a triangle are in the ratio 7 : 9 : 12. The difference between the lengths of the largest and smallest sides is 15 cm. The length of the largest side would be (in cm):
Option 1: 36
Option 2: 12
Option 3: 60
Option 4: 24
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