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Arithmetic Problems - Expert Level: tax calculations EXPERT

Comprehensive self assessment worksheet covering 20 expert-level arithmetic problems problems. Worksheet 28 of 30 emphasizes tax calculations. Master averages, time-work problems, speed-distance through detailed explanations. Difficulty: challenging problems and time-bound practice. Tailored for expert-level preparation.

📝 Worksheet 28 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 28 of 30 (93% complete)

Question 1

A and B invest for 5 and 5 months respectively. C joins after 6 months and invests Rs. 4472 for the remaining period. If total profit is Rs. 12000, what is the difference between C's and A's shares?
C's share = 8143.78
A's share = 6745.72
Difference = |8143.78 - 6745.72| = 1398.06
partnership

Question 2

What is the remainder when 91 is divided by 11?
91 modulo 11 = 3.
modular

Question 3

Convert 53 km to miles (1 km = 0.621371 miles).
53 * 0.621371 = 32.93 miles
conversion

Question 4

Calculate compound interest on Rs. 1821 at 9% per annum for 2 years.
CI = P(1+r/100)^t - P = 2163.53 - 1821 = 342.53.
compound interest

Question 5

In the GP sequence: 4, 16, ___, 256, 1024, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 64.
GP, sequence

Question 6

Calculate compound interest on Rs. 6030 at 5% per annum for 4 years.
CI = P(1+r/100)^t - P = 7329.5 - 6030 = 1299.5.
compound interest

Question 7

Fill the missing term: 22, ?, 46, 58, 70, 82, 94, 106
AP with difference 12. 22+1*12 = 34.
arithmetic, progression

Question 8

What is 72 ÷ 18?
72 ÷ 18 = 4
arithmetic, operation

Question 9

Find the wrong term in the series: 24, 15, 42, 51, 60, 69, 78
Correct AP is 24, 33, 42, 51, 60, 69, 78. Wrong term: 15, position 2.
arithmetic, wrong term

Question 10

A and B invest Rs. 4207 and Rs. 3635 for 12 and 5 months respectively. If total profit is Rs. 20000, what is the difference between B's and A's shares?
B's share = 5294.28
A's share = 14705.72
Difference = |5294.28 - 14705.72| = 9411.44
partnership

Question 11

In the GP sequence: 2, 4, 8, ___, 32, 64, 128, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 3. Answer: 16.
GP, sequence

Question 12

In the HP sequence: 0.125, 0.0833, 0.0625, 0.05, 0.0417, ___, 0.0312, find the missing term.
HP = reciprocal of AP. Missing index: 5. AP: 28. Answer: 0.0357.
HP, sequence

Question 13

Fill the missing term: 29, 32, ?, 38, 41, 44, 47, 50
AP with difference 3. 29+2*3 = 35.
arithmetic, progression

Question 14

What is 132 + 97?
132 + 97 = 229
arithmetic, operation

Question 15

If A can complete a work in 3 days, and B in 10 days, how long will they take together?
Time = (A * B) / (A + B) = (3*10)/(3+10) = 2.31 days.
time work

Question 16

What is the remainder when 178 is divided by 11?
178 modulo 11 = 2.
modular

Question 17

Find the wrong term in the series: 12, 19, 26, 33, 61, 47, 54
Correct AP is 12, 19, 26, 33, 40, 47, 54. Wrong term: 61, position 5.
arithmetic, wrong term

Question 18

If A can complete a work in 2 days, and B in 10 days, how long will they take together?
Time = (A * B) / (A + B) = (2*10)/(2+10) = 1.67 days.
time work

Question 19

In the GP sequence: 7, 42, 252, 1512, ___, 54432, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 4. Answer: 9072.
GP, sequence

Question 20

What is 20% of 645?
20% of 645 = (645*20)/100 = 129.0
percentage
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