A woman starts shopping with Rs. X and Y paise, spends Rs. 3.50 and is left with Rs. 2Y and 2X paise. The amount she started with is?

• RS. 48.24
• Rs. 28.64
• RS. 32.14
• Rs. 23.42

A mine supplies 10000 tons of copper ore, containing an average of 1.5 wt % copper, to a smelter every day. The smelter extracts 80 % of the copper from the ore on the same day. What is the production of copper in tons per day ?

• 80
• 12
• 120
• 150

A man sells three articles A, B, C and gains10% on A, 20% on B and loses 10% on C. He breaks even when combined selling prices of A and C are considered, whereas he gains 5% when combined selling prices of B and C are considered. What is his net loss or gain on the sale of all the articles?

• 10% gain
• 20% gain
• 10.66% gain
• 6.66% gain

A milkman adds 10 litres of water to 90 litres of milk. After selling $\frac {1}{5}th$ of the total quantity, he adds water equal to the quantity he has sold. The proportion of water to milk he sells now would be

• 72: 28
• 28: 72
• 20: 80
• 30: 70

Two coconuts have spherical space inside their kernels, with the first having an inner diameter twice that of the other. The larger one is half filled with liquid, while the smaller is completely filled. Which of the following statements its correct?

• The larger coconut contains for times the liquid in the smaller one.
• The larger coconut contains twice the liquid in the smaller one.
• The coconut contains equal volume of liquid.
• The smaller coconut contains the liquid in the larger one

The mid-point of the arc of a semicircle is connected by two straight lines to the ends of the diameter as shown, What is the ratio of the shaded area to the area of the triangle?

• $$\frac{\pi}{2}-1$$
• $$\frac {\pi - 1}{2}$$
• $$\pi - \frac {1} {2}$$
• $$2\pi - \frac {1} {4}$$

A boy holds one end of a rope of length $l$ and the other end is fixed to a thin pole of radius $r (r << l)$. Keeping the rope taut, the boy goes around the pole causing the rope to get wound around the pole. Each round takes (10 s). What is the speed (in units of $s^{-1}$) with which the boy approaches the pole?

• $$\frac{\pi r}{s}$$
• $$\frac{\pi l}{s}$$
• $$20 \pi (r + l)$$
• $$\frac{2\pi (l + r)}{s}$$

The smallest square floor which can be completely paved with tiles of size 8 x 6, without breaking any tile, needs n tiles. Find n.

• 56
• 12
• 24
• 48

A 2m long ladder is to reach a wall of height 1.75m. The largest possible horizontal distance of the ladder from the wall could be

• slightly less than 1 m
• slightly more than 1 m
• 1 m
• 1.2 m

A rectangular flask of length 11 cm, width 8 cm and height 20 cm has water filled up to height 5 cm. If 21 spherical marbles of radius 1 cm each are dropped in the flask, what would be the rise in water level?

• 8.8 cm
• 10 cm
• 1 cm
• 0 cm

A plate of 5m x 2m size with uniform thickness, weighing 20 kg, is perforated with 1000 holes of 5cm x 2cm size. What is the weight of the plate (in kg) after perforation?

• 10
• 2
• 19.8
• 18

What is the maximum number of cylindrical pencils of 0.5 cm diameter that can be stood in a square shaped stand of 5cm x 5cm inner cross section?

• 99
• 121
• 100
• 105

The sum of two numbers is equal to sum of square of 11 and cube of 9. The larger number is $(5)^2$ less than square of 25. What is the value of the sum of twice of 24 percent of the smaller number and half of the larger number?

• 415
• 400
• 410
• 420

What is the volume of soil in an open pit of size 2m x 2m x 10cm?

• $$40 m^3$$
• $$0.4 m^3$$
• $$0 m^3$$
• $$4.0 m^3$$

For which values of A and B is sin A = cot B?

• $$A = B = 0$$
• $$A = B = \frac {\pi} {2}$$
• $$A= 0, B = \frac {\pi} {2}$$
• $$4A= \frac {\pi} {2},B=0$$

Four small squares of side x are cut out of a square of side 12 cm to make a tray by folding the edges. What is the value of x so that the tray has the maximum volume?

• 6 cm
• 2 cm
• 3 cm
• 4 cm

Two runners A and B start running from diametrically opposite points on a circular track in the same direction. If A runs at a constant speed of 8 km/h and B at a constant speed of 6 km/h and A catches up with B in 30 minutes, what is the length of the track?

• 1 km
• 4 km
• 3 km
• 2 km

Marks (out of 30) of seven students in an examination are 4, 15, 6, 7, 5, a and b, where a (> 0) is a multiple of 4 and b is a prime. What is the maximum possible value of the difference between the maximum and minimum marks?

• 25
• 26
• 27
• 29

Two persons A and B start walking in opposite directions from a point. A travels twice as fast as B. The speed at which B travels is 1 km/h. If A travels 2 km and turns back and starts walking towards B, at what distance from the starting point will A cross B?

• 2 km
• 4 km
• 6 km
• 8 km

A person wanted to travel from Charbag to Alambag with an average speed of 60 km/h by car. The distance between Charbag and Alambag is 2 km. Due to heavy traffic, he could travel at 30 km/h for the first kilometre of his journey. What should his speed be for the remaining journey to achieve his average speed target of 60 km/h?

• Cannot achieve his target with any finite speed.
• 60 km/h
• 90 km/h
• 120 km/h