Q. 2 Vimla starts for office every day at 9 am and reaches
exactly on time if she drives at her usual speed of 40
km/hr. She is late by 6 minutes if she drives at 35
km/hr. One day, she covers two-thirds of her distance
to office in one-thirds of her usual time to reach
office, and then stops for 8 minutes. The speed, in
km/hr, at which she should drive the remaining
distance to reach office exactly on time is

Q. 7 A contractor agreed to construct a 6 km road in
200 days. He employed 140 persons for the work.
After 60 days, he realized that only 1.5 km road has
been completed. How many additional people would
he need to employ in order to finish the work exactly
on time?

Q. 9 Dick is thrice as old as Tom and Harry is twice as
old as Dick. If Dick's age is 1 year less than the
average age of all three, then Harry's age, in years,
is

Q. 11 A and B are two railway stations 90 km apart. A train
leaves A at 9:00 am, heading towards B at a speed
of 40 km/hr. Another train leaves B at 10:30 am,
heading towards A at a speed of 20 km/hr. The trains
meet each other at

Q. 15 A person invested a certain amount of money at 10%
annual interest, compounded half-yearly. After one
and a half years, the interest and principal together
became Rs 18522. The amount, in rupees, that the
person had invested is

Q. 16 In the final examination, Bishnu scored 52% and
Asha scored 64%. The marks obtained by Bishnu is
23 less, and that by Asha is 34 more than the marks
obtained by Ramesh. The marks obtained by Geeta,
who scored 84%, is

Q. 17 A man buys 35 kg of sugar and sets a marked price
in order to make a 20% profit. He sells 5 kg at this
price, and 15 kg at a 10% discount. Accidentally,
3 kg of sugar is wasted. He sells the remaining sugar
by raising the marked price by p percent so as to
make an overall profit of 15%. Then p is nearest to

Q. 21 Let N, x and y be positive integers such that N = x +
y, 2 < x < 10 and 14 < y < 23. If N > 25, then how
many distinct values are possible for N?

Q. 22 Anil, Sunil, and Ravi run along a circular path of length
3 km, starting from the same point at the same time,
and going in the clockwise direction. If they run at
speeds of 15 km/hr, 10 km/hr, and 8 km/hr,
respectively, how much distance in km will Ravi have
run when Anil and Sunil meet again for the first time
at the starting point?

Q. 23 A batsman played n + 2 innings and got out on all
occasions. His average score in these n + 2 innings
was 29 runs and he scored 38 and 15 runs in the
last two innings. The batsman scored less than
38 runs in each of the first n innings. In these n
innings, his average score was 30 runs and lowest
score was x runs. The smallest possible value of x
is

Q. 25 In a trapezium ABCD, AB is parallel to DC, BC is
perpendicular to DC and ∠BAD = 45°. If DC = 5 cm,
BC = 4 cm, the area of the trapezium in sq. cm is

Q. 26 Two alcohol solutions, A and B, are mixed in the
proportion 1:3 by volume. The volume of the mixture
is then doubled by adding solution A such that the
resulting mixture has 72% alcohol. If solution A has
60% alcohol, then the percentage of alcohol in
solution B is