Ratio and Proportion - Handout 3
1) The largest
number is:
a)
18 b)24 c)36 d)27
2) Two numbers are
in the ratio 1:3 and the sum of their squares is 1440. The smaller number is:
a)
6 b)12 c)18 d)36
3)
If A,B and C in the ratio of 2:3:5 be such
that the sum of their squares is equal to 1368.
What is B?
a) 18 b) 16
c) 19 d)24
4) The sum of the
three consecutive odd numbers is 285. What is the ratio of the smallest and
largest numbers respectively?
a)97:95 b)93:95 c)95:93 d)93:97
5) The ratio of the
number of boys and girls of a school with 504 students is 13:11. What will be
the new ratio of if 12 more girls are admitted?
a)91:81 b)81:91 c)9:10 d)10:9
6) A garrison has
provision for 300 students for 45 days. After 15 days, 150 men joined. How long
will the provisions last now?
a) 10 days b)20
days c)25 days d)30 days
7) A hostel with
1500 students has provisions for 65 days. After 11 days , 300 men joined. How
long will the provisions last now?
a)35days b)40 days c)45
days d)50 days
8) A bag contains
some 50 paisa coins, 25 paisa coins and 10 paisa coins in the ratio are 3:4:5,
and the total sum is Rs.30. The number of 10 paisa coins is equal to:
a)
10 b)30 c)50 d)70
9) In a bag there
are some 50 paisa coins, 25 paisa coins and 10 paisa coins. They are in the ratio 5:5:8 and if the total
sum is Rs.91, the number of 10 paisa coins is:
a)
100 b)120 c)150 d)160
10) Rs 675 was
divided among X ,Y and Z. If each of them had received Rs 5 less , their shares
would have been in the ratio of 1 : 2 :3 . How much did Y receive?
a)Rs 200 b)Rs 225 c)Rs 300 d)Rs 400
11) An amount of Rs
2550 was divided among P,Q and R in such a way that if Rs 10 , Rs 20 and Rs 20 respectively
deducted from their shares , the balances are in the ratio of 5 : 7 : 13. Find the share received by P ?
a)Rs 500 b)Rs
510 c)Rs 600 d)Rs
670
12) Half the girls
and one – third of the boys of a school stay in hostel . What fractional part
of the students stays in hostel if the total number of girls in the school is
100 and ¼ of the total strength of the school?
a)3/5 b)3/8 c)5/8 d)2/7
13) Number of
employees in an organization decreases in the ratio of 8:7 and salary of
employees increases in the ratio of 5:6 . Find whether total salary given to
the employees are decreased or increased and in what ratio?
a)20:21 , increased b)20:19 ,
increased
c)19:20 decreased
d)20:19 , decreased
14) In a city, 80% of
the population are adults of which the women and men are in the ratio of 7:9.
If the number of adult women is 4.2 lakhs , what is the total population of the
town?
a)10 lakh b)12
lakh c )9.6 lakhd)11.6 lakh
15) In a college ,
the number of students studying CSE , ECE and EEE are in the ratio of 4:7:9. If
the number of students in CSE, ECE and EEE be increased by 30%, 20% and 40% ,
respectively, what will be the new ratio?
a)26:42:63 b)
63:42:26 c)26:63:42 d)None
16) The average of
two numbers is 62. If 2 is added to the smallest number, the ratio between the
numbers become 1:2. What is the difference of the numbers?
a)62 b)40 c)84 d)44
17) The weight of
Gupta and Sharma are in the ratio of 7:8 and their total weight , combined is
120 kg. After taking a dieting course, Gupta reduces his weight by 6 kg and the
ratio between their weights changes to 5:6. Sharma has reduced
a)
by 2 kg b) by 3kg c)by 4kg d)by 5kg
18) Same quantity of
rice is required for each member of family of 15 members. On a particular day ,
due to absence of some members of the
family, the consumption of rice was reduced in the ratio 5:3.The number of
members absent in the family on that day
was
a)3 b)5 c)6 d)8
19) The total number
of employees of an organization was 660.
The ratio between male and female employees was 13:9. After some days, 30
female employees joined and some men left the organization and new ratio
between male and female employees became 6:5.The number of male employees who
left is
a) 30 b)35 c)42 d)48
