$x^{2} + \frac{1}{x^{2}} = 1, f i n d t h e v a l u e o f x^{102} + x^{96} + x^{90} + x^{84} + x^{78} + x^{72} + 5$

Created: 6 months ago | Updated: 2 months ago

Job Solution Janata Bank Ltd Janata Bank Ltd. || AEO (Tellor) (07-02-2020) || 2020 গণিত

$G i v e n t h a t, x^{2} + \frac{1}{x^{2}} = 1 S o, (x^{2} + \frac{1}{x^{2}}) (x + \frac{1}{x}) = (x + \frac{1}{x}) [M u l t i p l y i n g b o t h s i d e s b y (x + \frac{1}{x})] = x^{3} + x + \frac{1}{x^{3}} = (x + \frac{1}{x}) ∴ x^{3} + \frac{1}{x^{3}} = 0 N o w, x^{102} + x^{96} + x^{90} + x^{84} + x^{78} + x^{72} + 5 x^{99} (x^{3} + \frac{1}{x^{3}}) + x^{87} (x^{3} + \frac{1}{x^{3}}) + x^{75} (x^{3} + \frac{1}{x^{3}}) + 5 = 0 + 0 + 5 = 5 A n s w e r : 5$

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In a class of 40 students, each student plays at least one of the games. chess, carom and table tennis. Among the students, 18 play 20 play table tennis and 27 play carom, Further ,7 student play both chess and table tennis, 12 play both table tennis and carom and 4 play chess, carom and table tennis together. Find the number of students who play chess and carom but hot table tennis.

Created: 6 months ago | Updated: 2 months ago

Job Solution Janata Bank Ltd Janata Bank Ltd. Recruitment Test AEO ( RC) Written Examination Held On : 22.09.2017 || 2017 গণিত

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Aslam and Babul invested in a business in the ratio o f3:2. Assume that 5 percent of the total profit guest to workers’ provident fund. If Aslam’s share is Tk. 8,55,000 what is the amount of total prof?

Created: 6 months ago | Updated: 2 months ago

Job Solution Janata Bank Ltd Janata Bank Ltd. Recruitment Test AEO ( RC) Written Examination Held On : 22.09.2017 || 2017 গণিত

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Alam invested an amount of Tk. 13,900 divided in two different deposits at Bank X and Bank Y at the simple interest rate of 14 percent and 11 percent per annul. respectively. If the total amount of simple interest earned in two years is Tk. 3,508 what was the amount invested in the deposit of Bank Y?

Created: 6 months ago | Updated: 2 months ago

Job Solution Janata Bank Ltd Janata Bank Ltd. Recruitment Test AEO ( RC) Written Examination Held On : 22.09.2017 || 2017 গণিত

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Rashed is driving at a speed of 120 km per hour Mahi started one hour late and started driving at a speed of 140 km per hour. How long will it take for Mahi to catch up Rashed?

Created: 6 months ago | Updated: 2 months ago

Job Solution Janata Bank Ltd Janata Bank Ltd. Recruitment Test AEO ( RC) Written Examination Held On : 22.09.2017 || 2017 গণিত

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A table is three times as long as it is wide. If it were 5 feet shorter and 5 feet wider. It would be a square. How long and how wide is the table?

Created: 6 months ago | Updated: 2 months ago

Job Solution Janata Bank Ltd Janata Bank Ltd. Recruitment Test AEO ( RC) Written Examination Held On : 22.09.2017 || 2017 গণিত

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x2+1x2=1, find the value of x102+x96+x90+x84+x78+x72+5

Related Questions

Aslam and Babul invested in a business in the ratio o f3:2. Assume that 5 percent of the total profit guest to workers’ provident fund. If Aslam’s share is Tk. 8,55,000 what is the amount of total prof?

Rashed is driving at a speed of 120 km per hour Mahi started one hour late and started driving at a speed of 140 km per hour. How long will it take for Mahi to catch up Rashed?

A table is three times as long as it is wide. If it were 5 feet shorter and 5 feet wider. It would be a square. How long and how wide is the table?

$x^{2} + \frac{1}{x^{2}} = 1, f i n d t h e v a l u e o f x^{102} + x^{96} + x^{90} + x^{84} + x^{78} + x^{72} + 5$