M.M. 25 X
– MATHS [TEST LINEAR EQUATION]
1. A
part of monthly hostel charges is fixed and remaining depends on the number of
days one has taken food in the mess. When a student A takes food for 20 days she
has to pay Rs 1000 as hostel charges whereas a student B, who takes food for 26
days, pays Rs 1180 as hostel charges. Find the fixed charges and the cost of food
per day. [400,30
]
2. 3
men and 4 boys can do a piece of work in 14
days, while 4 men and 6 boys can do it in 10 days. How long would it take 1 boy
to finish the work? [ 140 ]
3. The
students of a class are made to stand in
(complete) rows. If one student is extra in a row, there would be 2 rows less,
and if one student is less in a row, there would be 3 more rows. Find the
number of students in the class. [60 ]
4. The sum of the numerator and the denominator of a fraction is
equal to 7. Four times the numerator is 8 less than
5 times the denominator. Find the fraction.
OR [3/4 ]
A man has certain notes of denominations Rs 20 and Rs 5 which amount to Rs 380.
If the number of notes of each kind are interchanged, they amount to Rs 60 less
as before. Find the number of notes of each denomination. [16, 20 ]
5. A two digit number is such that the ten's digit exceeds twice the
unit's digit by 2 and the number obtained by inter-changing the digits is 5
more than three times the sum of the digits. Find the two digit number.
OR[83]
The sum of a two digit number and the
number obtained by reversing the digits is 66, If the digits of the number
differ by 2, find the number. How many such numbers are there? [24,42,2 ]
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