HOTs for Maths Olympiad - 5 - Class 5 MCQ

To find the maximum number of fruits that can be packed in each box, we need to determine the greatest common divisor (GCD) of the number of apples (450) and oranges (675). The GCD represents the largest number that can evenly divide both 450 and 675.

By finding the prime factorizations:

• 450 = 2×3²×5² 
• 675 = 3³×5²

The common factors are 3² and 5², so the GCD is 3²×5²=225.

Therefore, the maximum number of fruits that can be packed in each box is 225.

The greatest 3-digit number is 999, and the smallest 2-digit number is 10. The product of 999 and 10 is 9990. Therefore, the correct answer is 9990.

Time = Distance ÷ Speed
So, Time = 300 km ÷ 60 km/h = 5 hours.
The correct answer is 5 hours.

The first five multiples of 7 are: 7, 14, 21, 28, and 35. The sum is 7 + 14 + 21 + 28 + 35 = 105.
The correct answer is 105.

Number of boys = (3/5) × 45 = 27
Number of girls = Total students - Number of boys = 45 - 27 = 18
The correct answer is 18.

• To find the LCM of 8, 12, and 16, we need the to prime factorise these 
• Prime factors:
  • 8 = 2× 2× 2
  • 12 = 2× 2× 3
  • 16 = 2× 2× 2× 2
• Take the highest powers of all primes:
  • 2⁴ (from 16)
  • 3¹ (from 12)
• Multiply these:
• Therefore, the LCM is 48.

The perimeter of a square = 4 × side
So, side = Perimeter ÷ 4 = 36 cm ÷ 4 = 9 cm
The correct answer is 9 cm.

Speed = Distance ÷ Time
So, Speed = 150 km ÷ 3 hours = 50 km/h
The correct answer is 50 km/h.

The sum of the angles in any triangle is always 180°.
The correct answer is 180°.

Length of each part = Total length ÷ Number of parts
So, Length of each part = 56 meters ÷ 4 = 14 meters
The correct answer is 14 meters.