The area of a trapezium is 180 and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the two parallel sides a)            15 cm, 21 cm ...

When 732 is divided by a positive integer x, the remainder is 12. How many values of x are there? (a) 19 (b) 20 (c) 18 (d) 16 Sol: When 732 is divided by x remainder is 12. So, the number exactly divisible by x is 720. The remainder is always less than the divisor, so :x > ...

The marked price of a shirt and a trouser are in the ratio 2 : 3. The shopkeeper gives 30% discount on the shirt. If the total discount is 20%. Then, the discount offered on the trouser is- a)  12 ½ b)  33 ⅓ c)  13 ⅓ d)  8 ⅓ Sol: Let MP of shirt be Rs. 2x and ...

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:

Find the maximum possible value of  sec2 θ+cos2 θ a) 17/4 b) 2 c) not defined d) 19/4

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 ...

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 ...

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)? ...

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 = ...

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:

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 ...

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    ...