Question : The average height of 40 sticks is 156 cm. Some sticks of average height 162 cm are taken out. If the new average height is 150 cm, how many sticks remain?
Option 1: 25
Option 2: 20
Option 3: 16
Option 4: 32
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Correct Answer: 20
Solution : The average height of 40 sticks is 156 cm. Total height = 40 × 156 cm Some sticks of average height 162 cm are taken out. Let that number of sticks be $x$. According to the question, $40 × 156 -162x=150(40-x)$ $⇒6240-162x=6000-150x$ $⇒12x=240$ $\therefore x = 20$ So, the remaining sticks = 40 - 20 = 20 Hence, the correct answer is 20.
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Question : The average height of P, Q, and R is 160 cm. If the average height of P and Q is 140 cm and that of Q and R is 129 cm, then what is the height of Q?
Option 1: 72 cm
Option 2: 62 cm
Option 3: 58 cm
Option 4: 78 cm
Question : Out of 20 boys, 6 are 1 m 15 cm in height, 8 are 1 m 10 cm and the rest are 1 m 12 cm. The average height of all of them is:
Option 1: 112.1 cm
Option 2: 121.1 cm
Option 3: 121 cm
Option 4: 112 cm
Question : The average of 11 numbers is 8. If every number is tripled, then what will be the new average of the numbers?
Option 1: 8
Option 2: 24
Question : The sum of the length and breadth of a cuboid is 16 cm. If the height of the cuboid is one-fourth of the sum of its length and breadth, then what is the lateral surface area of the cuboid?
Option 1: 128 cm2
Option 2: 196 cm2
Option 3: 96 cm2
Option 4: 156 cm2
Question : A wire is in the form of square with side 44 cm. It is bent to form a circle. What is the radius of the circle?
Option 1: 28 cm
Option 2: 21 cm
Option 3: 16 cm
Option 4: 32 cm
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