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The area of an isosceles triangle is 60 and the length of each one of its equal sides is 13 cm. Find its base. a) 10 cm b) 8 cm c) 12 cm d) 16 cm Sol:
READ MORE +The area of an isosceles triangle is 60 and the length of each one of its equal sides is 13 cm. Find its base. a) 10 cm b) 8 cm c) 12 cm d) 16 cm Sol:
READ MORE +Find the maximum possible value of sec2 θ+cos2 θ a) 17/4 b) 2 c) not defined d) 19/4
READ MORE +As shown in the given figure, inside the large semicircle, three semicircles (with equal radii) are drawn so that their diameters all sit on the large semicircle's diameter. What is the ratio between the red and blue areas? a) 1:3 b) 1:2 c) 1:4 d) 2:3 Sol: Let the diameter of bigger ...
READ MORE +A boat moves downstream at the rate of 1 km in 7.5 minutes and upstream at the rate of 5 km an hour. Find the speed of boat in still water. a) 8.5 km/h b) 6.5 ...
READ MORE +A fill pipe can fill a tank in 20 hours, a drain pipe can drain a tank in 30 hours. If a system of n pipes (fill pipes and drain pipes put together) can fill the tank in exactly 5 hours, which of the following are possible values of n (More than one option could be correct)? ...
READ MORE +The ratio between the height and radius of the base of a cylinder is 7 : 5. If its volume is 14836.5 cm3, then find its total surface area. a) 3010.5 b) 3391.2 c) 3232.3 d) 3555.4 Sol: Let the height be 7x and radius be 5x According to the question, Volume = π (5x)2 × 7x ⇒ 14836.5 = ...
READ MORE +In the given figure, CD is angle bisector and AD = AM then find = ? , if ∠ABC = 47°. a) 53° b) 143° c) 47° d) None of these Sol:
READ MORE +In the fig. CD = DE, BC = 4 cm, AE = 3 cm, ∠A = 90°. ABCD is a quadrilateral and EFGB is a square. Find the area of the square EFGB? a) 4 cm² b) 16 cm² ...
READ MORE +Find the number of zeroes at the end of the product 2 × 4 × 6 × 8 × 10 … × 180 a) 1 b) 0 c) 21 d) 120 Sol: 2 × 4 × 6 × 8 × 10 … × 180 ⇒ 290(1 × 2 × 3 × 4 × 5 × … × 90) ⇒ 290 × 90! In this case, number of 5’s is less than the number of 2’s. So we need to calculate the number of 5’s ...
READ MORE +If the 6-digit numbers x35624 and 1257y4 are divisible by 11 and 72, respectively, then what is the value of (5x-2y)? (a) 14 (b) 12 (c) 10 (d) 13 Sol: In such questions directly check divisibility by 11, 9 and 8. For a number to be divisible by 11, the difference of the ...
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