19. Arrange \(3^{50}, 4^{40}, 5^{30}\) in ascending order.
(A) \(3^{50}<4^{40}<5^{30}\)
(B) \(5^{30}<3^{50}<4^{40}\)
(C) \(5^{30}<4^{40}<3^{50}\)
(D) \(4^{40}<5^{30}<3^{50}\)
(E) None of the above
20. Sara picked 2 oranges from a basket of 15 oranges in which 10 oranges are good, 5 oranges are bad. The probability she pick up at least one good orange is \(\frac{m}{n}\). Find the value of \((m + n)\).
(A) 38
(B) 39
(C) 40
(D) 41
(E) 42
21. In an equilateral ΔABC, D and E are points on BC and AB respectively. Given that BD = AE and AD and CE intersect at point F, find ∠DFC.
(A) 30°
(B) 36°
(C) 42°
(D) 54°
(E) 60°
22. The number which, when subtracted from
the terms of ratio a : b makes it equal to c : d is
(A) \(\frac{ab-cd}{ab+cd}\)
(B) \(\frac{bc-ad}{c-d}\)
(C) \(\frac{ab+cd}{c+d}\)
(D) \(\frac{ab-cd}{b-c}\)
(E) None of the above
23. a, b, c are three positive real numbers. The second number is greater than the first by the amount the third number is greater than the second. The product of the two smaller numbers is 85 and that of the two bigger numbers is 115. Then the value of (2012a – 1006c) is
(A) 3355
(B) 4433
(C) 5533
(D) 3344
(E) 5454
24. If \(x=\frac{y}{y+1}\) and \(y=\frac{a-2}{2}\) then value of \(x(y+2)+\frac{x}{y}+\frac{y}{x}\), when \(a=2017\) is
(A) 2016
(B) 2015
(C) 2018
(D) 2017
(E) 2019
25. A triangular pyramid is made of 4 equilateral triangles as faces. If
each side of equilateral triangular face is 1 unit. Find the height of the pyramid.
(A) \(\sqrt{\frac{2}{3}}\)
(B) \(\sqrt{\frac{3}{2}}\)
(C) \(\frac{2}{\sqrt 3}\)
(D) \(\frac{\sqrt 3}{2}\)
(E) None of the above
Baca juga
SEAMO PAPER D 2021
SEAMO PAPER D 2020
SEAMO PAPER D 2019