Hello ! Welcome to your NTSE SAT - Mathematics Instructions: Time: 20:00 min Full Marks: 60 There is negative marking of -1.00 for all incorrect answers chosen. There is no deduction for NOT attempted question. All questions carry equal marks and all 15 questions are of 4 marks each. All Questions are compulsory. (Powered By: Kailasha Foundation - Fun & Learn Portal) Name Email 1. If sin x = cos y, x + y is equal to 30° 45° 60° 90°2. A rhombus of side 5cm has two angles of 120. Its diagonals are 5cm, 5√3cm 10cm, 10√3cm (5√3)/2cm, 5√3cm 8cm, 10cm3. A wire of length 25 cm is bent so as to lie along the arc of a circle of diameter 100cm. The angle subtended at the centre by the arc is π π/2 π/4 π/84. The angle of a regular polygon of n sides, in the circular system, is k radians. k is equal to π(n-2) π(n-1)/2n π(n-2)/n π(n-1)/n5. The statement (sin x + sin y)^{2} > (sin x – sin y)^{2} is Always true Never True true if cos(x –y) > cos(x + y) true if cos(x+ y) > cos(x – y)6. If tan35tan55 = sin A, angle A is equal to 35° 55° 90° 80°7. A B C D8. The square root of (x^{2} + 4x + 4)(x^{2} + 6x + 9) is A B C D9. The value of 1^{2} +2^{2} + 3^{2}+ ... + n^{2} is A B C D10. The solution set of the inequality 8x - x^{2} -12 >= 0 : x belongs to N is { 1, 3, 4, 6 } ( 2, 3, 4, 6 ) { 1, 2, 4, 5, 6 } { 2, 3, 4, 5, 6 }11. If f(x) = x+ 1, g(x) = 2x + 3 and h(x) = g(f(x)) evaluate h(1) 10 7 5 312. If x = (2t)/(1+t^{2}) and y = (1-t^{2})/(1+t^{2}) then x^{2} + y^{2} is equal to A B C D13. A B C D14. If f(x) = (sin x – cos x)^{2}, the maximum value of f(x) is Zero 1 2 Infinte15. 2(sin^{6}x + cos^{6}x) – 3(sin^{4}x + cos^{4}x) + 1 is equal to 2 1 1/2 ZeroYou can always contact system administrator here for any kind of technical glitches. 0