Problem and Solution SEAMO 2017 paper C

19. A mall escalator moves upwards at a constant rate from the 1st to 3rd floor. Chiranjit walks up the escalator at a constant rate of 2 steps per second, and arrives at the third floor after 40 seconds. Debdeep walks up the escalator at a constant rate of 3 steps every 2 seconds, and arrives at the third floor after 50
seconds. How many steps are there on the escalator?
(A) 100
(B) 90
(C) 80
(D) 70
(E) 60

20. Three identical circles of radii 7 cm intersect through their centers as shown in the figure. Find the area of the shaded region. Take \(π =\frac{22}{7}\).

(A) \(22\)
(B) \(66\)
(C) \(66\frac{2}{7}\)
(D) \(77\)
(E) None of the above

21. Evaluate

\(\frac{(2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)}{(2^{32}-1)}\)

22. Find the value of

\(1^3 + 2^3 + 3^3 + 4^3 + … + 19^3 + 20^3\)

23. 2017 soldiers were lined up in a single file. The commander ordered them to number off 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1… starting from the first soldier. He then ordered them to number off 1, 2, 3, 4, 1, 2, 3, 4, 1… starting from the last soldier. How many soldiers had the same number both times?

24. Given that \(S=\frac{1}{\frac{1}{2008}+\frac{1}{2009}+\frac{1}{2010}+…+\frac{1}{2017}}\)

Find the largest whole number smaller than S.

25. The area of a circle is given as \(πr^2\), where \(π=\frac{22}{7}\) or \(3.14\)

Find the area of the shaded regions in the figure, given that the area of square is 1 cm².

Baca juga
SEAMO PAPER C 2020
SEAMO PAPER B 2019 
SEAMO PAPER C 2021