Q. 8 Ravi is driving at a speed of 40 km/h on a road. Vijay
is 54 meters behind Ravi and driving in the same
direction as Ravi. Ashok is driving along the same
road from the opposite direction at a speed of
50 km/h and is 225 meters away from Ravi. The
speed, in km/h, at which Vijay should drive so that
all the three cross each other at the same time, is
Q. 9 Pipes A and C are fill pipes while Pipe B is a drain
pipe of a tank. Pipe B empties the full tank in one
hour less than the time taken by Pipe A to fill the
empty tank. When pipes A, B and C are turned on
together, the empty tank is filled in two hours. If pipes
B and C are turned on together when the tank is
empty and Pipe B is turned off after one hour, then
Pipe C takes another one hour and 15 minutes to fill
the remaining tank. If Pipe A can fill the empty tank
in less than five hours, then the time taken, in
minutes, by Pipe C to fill the empty tank is
Q. 10 Minu purchases a pair of sunglasses at Rs.1000 and
sells to Kanu at 20% profit. Then, Kanu sells it back
to Minu at 20% loss. Finally, Minu sells the same
pair of sunglasses to Tanu. If the total profit made by
Minu from all her transactions is Rs.500, then the
percentage of profit made by Minu when she sold
the pair of sunglasses to Tanu is
Q. 11 The price of a precious stone is directly proportional
to the square of its weight. Sita has a precious stone
weighing 18 units. If she breaks it into four pieces
with each piece having distinct integer weight, then
the difference between the highest and lowest
possible values of the total price of the four pieces
will be 288000. Then, the price of the original precious
stone is
Q. 12 In a company, 20% of the employees work in the
manufacturing department. If the total salary obtained
by all the manufacturing employees is one-sixth of
the total salary obtained by all the employees in the
company, then the ratio of the average salary obtained
by the manufacturing employees to the average salary
obtained by the non-manufacturing employees is
Q. 13 Anil borrows Rs. 2 lakhs at an interest rate of 8%
per annum, compounded half-yearly. He repays
Rs. 10320 at the end of the first year and closes the
loan by paying the outstanding amount at the end of
the third year. Then, the total interest, in rupees,
paid over the three years is nearest to
Q. 14 If a certain amount of money is divided equally among
n persons, each one receives Rs. 352. However, if
two persons receive Rs. 506 each and the remaining
amount is divided equally among the other persons,
each of them receive less than or equal to Rs. 330.
Then, the maximum possible value of n is
Q. 15 Jayant bought a certain number of white shirts at the
rate of Rs. 1000 per piece and a certain number of
blue shirts at the rate of Rs. 1125 per piece. For
each shirt, he then set a fixed market price which
was 25% higher than the average cost of all the shirts.
He sold all the shirts at a discount of 10% and made
a total profit of Rs. 51000. If he bought both colors of
shirts, then the maximum possible total number of
shirts that he could have bought is
Q. 16 A container has 40 liters of milk. Then, 4 liters are
removed from the container and replaced with 4 liters
of water. This process of replacing 4 liters of the liquid
in the container with an equal volume of water is
continued repeatedly. The smallest number of times
of doing this process, after which the volume of milk
in the container becomes less than that of water, is
Q. 17 A triangle is drawn with its vertices on the circle C
such that one of its sides is a diameter of C and the
other two sides have their lengths in the ratio a : b.
If the radius of the circle is r, then the area of the
triangle is
Q. 18 In a rectangle ABCD, AB = 9 cm and BC = 6 cm.
P and Q are two points on BC such that the areas of
the figures ABP, APQ, and AQCD are in geometric
progression. If the area of the figure AQCD is four
times the area of triangle ABP, then BP : PQ : QC is
Q. 21 Let both the series a1, a2, a3, ... and b1, b2, b3 ... be
in arithmetic progression such that the common
differences of both the series are prime numbers.
If a5 = b9, a19 = b19 and b2 = 0, then a11 equals
Q. 22 Let an and bn be two sequences such that
an = 13 + 6(n – 1) and bn = 15 + 7(n – 1) for all
natural numbers n. Then, the largest three digit integer
that is common to both these sequences, is
