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Arithmetic Problems - Expert Level: population growth EXPERT

Strategic basic drills ★ for arithmetic problems: 20 expert-level problems. Worksheet 29 of 30 - Focus: population growth. Develop expertise in basic arithmetic, percentage problems, profit-loss with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 29 of 30 (96% complete)

Question 1

A, B, and C invest Rs. 2906, Rs. 7876, and Rs. 3291 for 11, 5, 11 months respectively. If total profit is Rs. 20000, what is the difference between B's and A's shares?
B's share = 7323.31
A's share = 5944.56
Difference = |7323.31 - 5944.56| = 1378.75
partnership

Question 2

₹2974 and ₹2464 at 10% for 3 years. Ratio of simple interests = ?
SI1=892.20, SI2=739.20, Ratio = 1.21:1
Olympiad, chain

Question 3

Calculate compound interest on Rs. 3580 at 2% per annum for 4 years.
CI = P(1+r/100)^t - P = 3875.11 - 3580 = 295.11.
compound interest

Question 4

What is 165 ÷ 15?
165 ÷ 15 = 11
arithmetic, operation

Question 5

In the GP sequence: 7, 14, 28, ___, 112, 224, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 3. Answer: 56.
GP, sequence

Question 6

Find the sum of first 15 terms of the AP: First term=11, common difference=4.
S_n = n/2 [2a + (n-1)d] = 15/2*[2*11+(14)*4] = 585.0
sum, arithmetic progression

Question 7

Calculate compound interest on Rs. 2421 at 8% per annum for 4 years.
CI = P(1+r/100)^t - P = 3293.74 - 2421 = 872.74.
compound interest

Question 8

Sum of AP (a=5, d=4, n=5) + 4th term of GP (a=4, r=2) = ?
AP sum = 65, GP term = 32. Combined = 97.0
Olympiad, chain

Question 9

Find the wrong term in the series: 22, 19, 28, 31, 34, 37, 40
Correct AP is 22, 25, 28, 31, 34, 37, 40. Wrong term: 19, position 2.
arithmetic, wrong term

Question 10

Find the sum of first 17 terms of the AP: First term=8, common difference=6.
S_n = n/2 [2a + (n-1)d] = 17/2*[2*8+(16)*6] = 952.0
sum, arithmetic progression

Question 11

If A can complete a work in 4 days, and B in 8 days, how long will they take together?
Time = (A * B) / (A + B) = (4*8)/(4+8) = 2.67 days.
time work

Question 12

What is 35 * 99?
35 * 99 = 3465
arithmetic, operation

Question 13

In the HP sequence: 0.2, 0.125, 0.0909, ___, 0.0588, 0.05, find the missing term.
HP = reciprocal of AP. Missing index: 3. AP: 14. Answer: 0.0714.
HP, sequence

Question 14

Calculate compound interest on Rs. 6859 at 3% per annum for 4 years.
CI = P(1+r/100)^t - P = 7719.86 - 6859 = 860.86.
compound interest

Question 15

In a ratio 2:7, what is the first part out of 369?
First part: 369 * 2/(9) = 82.0
ratio

Question 16

What is the remainder when 476 is divided by 5?
476 modulo 5 = 1.
modular

Question 17

In the HP sequence: 0.2, 0.1429, 0.1111, 0.0909, ___, 0.0667, 0.0588, find the missing term.
HP = reciprocal of AP. Missing index: 4. AP: 13. Answer: 0.0769.
HP, sequence

Question 18

In the GP sequence: 6, 18, ___, 162, 486, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 54.
GP, sequence

Question 19

Find the wrong term in the series: 16, 9, 30, 37, 44, 51, 58
Correct AP is 16, 23, 30, 37, 44, 51, 58. Wrong term: 9, position 2.
arithmetic, wrong term

Question 20

Find the wrong term in the series: 12, 21, 30, 75, 48, 57, 66
Correct AP is 12, 21, 30, 39, 48, 57, 66. Wrong term: 75, position 4.
arithmetic, wrong term
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