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Arithmetic Problems - Advanced Level: partnership ADVANCED

Master arithmetic problems concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into partnership while learning compound interest, ratio proportion, averages. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 26 of 30 (86% complete)

Question 1

In the HP sequence: 0.1429, 0.1, 0.0769, 0.0625, 0.0526, ___, 0.04, find the missing term.
HP = reciprocal of AP. Missing index: 5. AP: 22. Answer: 0.0455.
HP, sequence

Question 2

If A can complete a work in 5 days, and B in 12 days, how long will they take together?
Time = (A * B) / (A + B) = (5*12)/(5+12) = 3.53 days.
time work

Question 3

If A can complete a work in 5 days, and B in 7 days, how long will they take together?
Time = (A * B) / (A + B) = (5*7)/(5+7) = 2.92 days.
time work

Question 4

What is the remainder when 248 is divided by 3?
248 modulo 3 = 2.
modular

Question 5

A, B, and C invest Rs. 7571, Rs. 6868, and Rs. 6569 for 12, 5, 10 months respectively. If total profit is Rs. 15000, what is C's share?
Share ratio = 7571×12 : 6868×5 : 6569×10 = 90852 : 34340 : 65690
C's share = (65690 / 190882) × 15000 = 5162.09
partnership

Question 6

A, B, and C invest Rs. 7899, Rs. 7818, and Rs. 6924 for 4, 11, 11 months respectively. What is the profit sharing ratio of A : B : C?
Profit ratio = Investment × Time = 7899×4 : 7818×11 : 6924×11 = 31596 : 85998 : 76164
partnership

Question 7

In a ratio 2:5, what is the first part out of 308?
First part: 308 * 2/(7) = 88.0
ratio

Question 8

Calculate simple interest on Rs. 8982 at 10% per annum for 3 years.
Simple Interest = PRT/100 = 2694.6.
interest

Question 9

In the HP sequence: 0.1429, 0.1, 0.0769, ___, 0.0526, 0.0455, 0.04, find the missing term.
HP = reciprocal of AP. Missing index: 3. AP: 16. Answer: 0.0625.
HP, sequence

Question 10

Find the wrong term in the series: 28, 35, 21, 49, 56, 63, 70
Correct AP is 28, 35, 42, 49, 56, 63, 70. Wrong term: 21, position 3.
arithmetic, wrong term

Question 11

If you start with 90, add 3, multiply by 8, then subtract 3, what is the result?
(90+3)=93; 93*8=744; 744-3=741
arithmetic, hybrid

Question 12

Find the sum of first 10 terms of the AP: First term=9, common difference=7.
S_n = n/2 [2a + (n-1)d] = 10/2*[2*9+(9)*7] = 405.0
sum, arithmetic progression

Question 13

Find the sum of first 7 terms of the AP: First term=7, common difference=6.
S_n = n/2 [2a + (n-1)d] = 7/2*[2*7+(6)*6] = 175.0
sum, arithmetic progression

Question 14

Convert 5 km to miles (1 km = 0.621371 miles).
5 * 0.621371 = 3.11 miles
conversion

Question 15

In the GP sequence: 2, 10, ___, 250, 1250, 6250, 31250, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 50.
GP, sequence

Question 16

If A can complete a work in 2 days, and B in 6 days, how long will they take together?
Time = (A * B) / (A + B) = (2*6)/(2+6) = 1.5 days.
time work

Question 17

A and B invest Rs. 8836 and Rs. 2389 for 7 and 5 months respectively. If total profit is Rs. 20000, what is B's share?
Share ratio = 8836×7 : 2389×5 = 61852 : 11945
B's share = (11945 / 73797) × 20000 = 3237.26
partnership

Question 18

Convert 73 km to miles (1 km = 0.621371 miles).
73 * 0.621371 = 45.36 miles
conversion

Question 19

Find the sum of first 18 terms of the AP: First term=2, common difference=4.
S_n = n/2 [2a + (n-1)d] = 18/2*[2*2+(17)*4] = 648.0
sum, arithmetic progression

Question 20

What is the remainder when 413 is divided by 5?
413 modulo 5 = 3.
modular
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