Q.21.If cos4θ - sin4θ = 1/3, then the value of tan2θ is
(A) 1/2
(B) 1/3
(C) 1/4
(D) 1/5
Q.22.If a perfect square, not divisible by 6, be divided by 6, the remainder will be
(A) 1, 3 or 5
(B) 1, 2 or 5
(C) 1, 3 or 4
(D) 1, 2 or 4
Q.23.A batsman in his 12th innings makes a score of 120, and thereby increase his average by 5. The average score after 12th innings is
(A) 60
(B) 55
(C) 65
(D) 70
Q.24.
(A) 2
(B) 4
(C) ±2
(D) -2
Q.25.
(A) 6
(B) 12
(C) 11
(D) 3
Q.26.The side BC of the ΔABC is extended to the point D. If ∠ ACD = 112° and ∠B = 3/4 ∠A, then the value of ∠B is
(A) 64°
(B) 48°
(C) 46°
(D) 50°
Q.27. ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is
(A) 12 sq cm
(B) 3 sq cm
(C) 6 sq cm
(D) 5 sq cm
Q.28.The height of a tower is 50√3 m. The angle of elevation of a tower from a distance 50 m from its feet is
(A) 30°
(B) 45°
(C) 60°
(D) 90°
Q.29.The amount of Rs. 10,000 after 2 years, compounded annually with the rate of interest being 10% per annum during the first year and 12% per annum during the second year, would be (in rupees)
(A) 11,320
(B) 12,000
(C) 12,320
(D) 12,500
Q.30.The value of tan80° tan10° + sin270° + sin20° is tan80° tan10° + sin270° + sin20°
(A) 0
(B) 1
(C) 2
(D) √3/2
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