The average of 8 numbers is 15. If one number, 22, is removed, what is the new average?
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The original total is 8 × 15 = 120.
After removing 22, the total is 98, and 98 ÷ 7 = 14.
Practice PIEAS Mathematics questions with answers and explanations.
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The original total is 8 × 15 = 120.
After removing 22, the total is 98, and 98 ÷ 7 = 14.
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The original total age is 4 × 25 = 100 years.
The new total is 5 × 27 = 135, so the new age is 35.
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The third decimal digit is 6, so the second decimal digit is rounded up.
Thus, 18.746 becomes 18.75.
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The reciprocal of 0.25 is 1 ÷ 0.25.
Since 0.25 = 1/4, its reciprocal is 4.
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One third of 3/4 is 1/4 of the full tank.
The remaining amount is 3/4 - 1/4 = 1/2.
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One hundred fifty percent equals 1.5.
Multiplying 80 by 1.5 gives 120.
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Since 12.5% = 1/8, one eighth of the number is 25.
The whole number is 25 × 8 = 200.
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After a 30% discount, 70% of the original price remains.
Thus, the original price is 840 ÷ 0.70 = 1,200.
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The greatest common divisor of 24 and 36 is 12.
Dividing both terms by 12 gives 2:3.
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Three ratio parts correspond to 24, so one part is 8.
Girls represent five parts, giving 5 × 8 = 40.
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The total number of ratio parts is 9, so one part is 720/9 = 80.
The largest share is 4 × 80 = Rs. 320.
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Make the common term b equal in both ratios.
Multiplying 4:7 by 2 gives 8:14, so a:b:c = 8:14:15.