Q1. In a triangle the length of the side opposite the angle which measures 30° is 9 cm, what is the length of the side opposite to the angle which measures 60°?
(a) 3√3 cm
(b) 3/2 cm
(c) 9/2 cm
(d) 9√3 cm
Q2. For triangle ABC, what would be the equation of median AD if co-ordinates of A, B and C are (-5,4), (-4,0) and (-2,2) respectively?
(a) 3x – 2y = -11
(b) 3x + 2y = 7
(c) 3x + 2y = -7
(d) 3x – 2y = 11
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Q3. A wholesaler sells a watch to a retailer at a gain of 37% and the retailer sells it to a customer at a loss of 25%. If the customer pays Rs 2,620.125, what had it cost the wholesaler?
(a) Rs 2550
(b) Rs 2692
(c) Rs 3327
(d) Rs 2408
Q4. The ratio of present ages of Rasika and Shami is 7:5. After 17 years the ratio of their ages will be 12:11. What is Rasika’s present age?
Q5. If tanA + tanB = X, then the value of X is
(a) (tanA – tanB)/(1 + tanAtanB)
(b) (tanA + tanB)/(1 – tanAtanB)
(c) (tanA + tanB)/(1 + tanAtanB)
(d) (tanA – tanB)/(1 – tanAtanB)
Q6. At least one diagonal bisects the other in a _____.
(b) Isosceles trapezium
(d) Cyclic quadrilateral
Q7. 25% discount is offered on an item. By applying a promo code the customer wins 4% cash back. What is the effective discount?
(a) 28 percent
(b) 29.12 percent
(c) 29 percent
(d) 5 percent
Q8. What is the HCF (highest common factor) of 133 and 112?
Q9. Value of (4a2 + 12ab + 9b2)/(2a + 3b) is
(a) 2a – 3b
(b) 2a + 3b
Q10. What is the equation of line whose slope is -1/2 and passes through the intersection of the lines x – y = -1 and 3x – 2y = 0?
(a) x + 2y = 8
(b) 3x + y = 7
(c) x + 2y = -8
(d) 3x + y = -7
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