A wine seller had three types of wine,
403 litres of 1st kind, 434 litres of 2nd kind
and 465 litres of 3rd kind. Find the least
possible number of casks of equal size in
which different types of wine can be filled
without mixing

The average age of a committee of eight
members is 40 years. A member aged
55 years retired and his place was taken
by another member aged 39 years. Find the
average age of the present committee.

There are 40 boys in a class and their
average age is 16 years. one boy, aged 17
years, l eaving the cl ass and anot her
j o i n i n g , t he a v e r a g e a g e be c o me s
15. 875 years. The age of the new boy is –

ATQ,
The average age of 40 boys = 16 years
New average age of 40 boys = 15.875 years
So,
The age of new boy= 17 + 40 + (15.875 – 16)
= 17 – 40 × 0.125
= (17 – 5) years
= 12 years

A, B and C three are batsmen. The ratio of
the runs scored by them in a certain match
are as B : A = 3 : 5 and C : B = 5 : 4. In all
they scored 564 runs. The number of runs
scored by B is –

55 litres of mixture has milk and water in
the ratio 7 : 4. How much quantity of water
must be added in the mixture to get milk
and water in the ratio 7 : 6

A, B and C enter into a partnership.
A contributes ` 320000 for 4 months,
B contributes ` 510000 for 3 months and C
contributes ` 270000 for 5 months. If the
total profit be ` 124800, then A's share in
the profit is –

A man spends 40% of his monthly salary
on food and one-third of the remaining on
transport. If he saves ` 4500 per month,
which is equal to half the balance after
spending on food and transport, his monthly
salary is –

In an examination a candidate must score
40% marks to pas s. A candidat e,
who gets 220 marks, fails by 20 marks. What
are the maxi mum marks for the
examination ?