Quantitative aptitude

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 km/h c)            7.00 km/h d)            8.00 km/h Sol: Speed of boat in still water = xkm/h (say) and that […]

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

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 c)            2 cm² d)            36 cm² Sol: Construction- join BD Let AD = y, EB =

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 ×

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 sum of

The price of tea increases by 32%, therefore the expenditure on tea increase by 10%. If 10 kg tea was bought earlier, then what is the quantity can buy now? a) 12 kg b) 8 1/3kg c) 6 2/3kg d) 9kg Sol: Let original price of the tea is and consumption after increase in price

What should replace * in the number 94*2357, so that the number is divisible by 11?  (a) 3 (b) 7 (c) 1  (d) 8 Sol: For a number to be divisible by 11, the difference of sum of alternative numbers is divisible by 11. Hence, (7+3+*+9)-(5+2+4) =(19+*)-(11) =8+* * must be 3 for 94*2357 to

If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x+y+z?  (a) 9 (b) 16 (c) 5  (d) 27 Sol: It is given that 708x6y8z9 is divisible by 99. Thus, 708x6y8z9 is divisible by both 11 and 9 For divisibility by 9, sum of digits is divisible by 9 (7+0+8+x+6+y+8+z+9