Arithmetic | IAF AFCAT Past Year Papers PDF Download

 Page 1


B-10 Arithmetic
Arithmetic
2
1. The average age of 35 students in a class is 16 years. Out of
these students the average age of 21 students is 14 years.
The average age of remaining students is [2011-I]
(a) 15 years (b) 17 years
(c) 20 years (d) 19 years
2. After replacing an old member by a new member, it was
found that the average age of five members of a club is the
same as it was 3 years ago. What is the difference between
the age of replaced member and new member ? [2011-I]
(a) 2 years (b) 8 years
(c) 15 years (d) 25 years
3. The average salary of all the workers in a workshop is Rs.
8000. The average salary of seven technicians is `12000
and average salary of others is ` 6000. The total number of
workers in the workshop are- [2011-I]
( a) 20 (b) 2 1
(c ) 22 (d) 2 3
4. The price of a scooter and a TV are in the ratio of 7 : 5. If the
scooter costs `8000 more than a TV set, then the price of TV
set is- [2011-I]
(a) ` 20000 (b) ` 24000
(c) ` 32000 (d) ` 28000
5. The speed of three cars is in the ratio of 5 : 4 : 6. The ratio
between the time taken by them to travel the same distance is
[2011-I]
(a) 5 : 4 : 6 (b) 6 : 4 : 5
(c) 10 : 12 : 15 (d) 12 : 15 : 10
6. The ratio between two numbers is 3 : 4. If each number is
increased by 6 the ratio becomes 4 : 5. The difference
between the numbers is [2011-I]
(a)1 (b) 3
(c)6 (d) 8
7. The average of five consecutive odd number is 61. What is
the difference between the highest and lowest number ?
[2011-II]
(a)2 (b) 5
(c)8 (d) 12
8. Jayesh is twice as old as Vijay and half as old as Suresh. If
the sum of Vijay’s age and Suresh’s age is 85 years what is
the age of Jayesh ? [2011-II]
(a) 34 years (b) 36 years
(c) 68 years (d) 24 years
9. A cricketer has an average of 30 runs in 14 innings. How
many runs should he score in his next innings to achieve an
average of 32 runs ? [2011-II]
(a) 65 (b) 60
(c) 55 (d) 50
10. The ratio of three numbers is 3 : 4 : 5 and the sum of their
squares is 1250. The sum of the three numbers is [2011-II]
(a) 30 (b) 5 0
(c) 60 (d) 9 0
11. The average age of three boys is 25 years and their ages are in
the proportion 3 : 5 : 7. What is the age of the youngest boy ?
[2011-II]
(a) 15 years (b) 18 years
(c) 21 years (d) 13 years
12. Find the average of all the numbers between 6 and 34 which
are divisible by 5. [2012-I]
( a) 18 (b) 2 0
(c) 24 (d) 3 0
13. The average of first 80 natural numbers is [2012-I]
( a) 40 (b) 4 1
(c) 40.5 (d) 1 42
14. If the sum of a few numbers is 450 and their mean is 50 and
if another number 100 is included, the mean would become
[2012-I]
(a) 55 (b) 6 0
(c) 75 (d) 1 50
15. Two numbers are in the ratio 7 : 8. If 3 is added to each of
them their ratio becomes 8:9. The numbers are [2012-I]
(a) 14, 16 (b) 24, 27
(c) 21, 24 (d) 16, 18
16. The sum of three numbers is 98. If the ratio of the first to the
second is 2 : 3 and that of the second to the third is 5 : 8, then
the second number is [2012-I]
(a) 20 (b) 30
(c) 48 (d) 58
17. A certain amount was divided between Sita and Gita in the
ratio 9 : 8. If Sita’s share was ` 4500 then the amount is
[2012-I]
(a) ` 9000 (b) ` 8500
(c) ` 6750 (d) ` 9025
18. A man’s average monthly expenditure for the first four
months of the year was ` 225.25. For the next five months,
the average monthly expenditure was ` 20.75 more than
what it was during the first four months. If the person spent
` 700 in all during the remaining three months of the year,
find what percntage of his annual income of ` 3500 he saved
in the year ? [2012-II]
Page 2


B-10 Arithmetic
Arithmetic
2
1. The average age of 35 students in a class is 16 years. Out of
these students the average age of 21 students is 14 years.
The average age of remaining students is [2011-I]
(a) 15 years (b) 17 years
(c) 20 years (d) 19 years
2. After replacing an old member by a new member, it was
found that the average age of five members of a club is the
same as it was 3 years ago. What is the difference between
the age of replaced member and new member ? [2011-I]
(a) 2 years (b) 8 years
(c) 15 years (d) 25 years
3. The average salary of all the workers in a workshop is Rs.
8000. The average salary of seven technicians is `12000
and average salary of others is ` 6000. The total number of
workers in the workshop are- [2011-I]
( a) 20 (b) 2 1
(c ) 22 (d) 2 3
4. The price of a scooter and a TV are in the ratio of 7 : 5. If the
scooter costs `8000 more than a TV set, then the price of TV
set is- [2011-I]
(a) ` 20000 (b) ` 24000
(c) ` 32000 (d) ` 28000
5. The speed of three cars is in the ratio of 5 : 4 : 6. The ratio
between the time taken by them to travel the same distance is
[2011-I]
(a) 5 : 4 : 6 (b) 6 : 4 : 5
(c) 10 : 12 : 15 (d) 12 : 15 : 10
6. The ratio between two numbers is 3 : 4. If each number is
increased by 6 the ratio becomes 4 : 5. The difference
between the numbers is [2011-I]
(a)1 (b) 3
(c)6 (d) 8
7. The average of five consecutive odd number is 61. What is
the difference between the highest and lowest number ?
[2011-II]
(a)2 (b) 5
(c)8 (d) 12
8. Jayesh is twice as old as Vijay and half as old as Suresh. If
the sum of Vijay’s age and Suresh’s age is 85 years what is
the age of Jayesh ? [2011-II]
(a) 34 years (b) 36 years
(c) 68 years (d) 24 years
9. A cricketer has an average of 30 runs in 14 innings. How
many runs should he score in his next innings to achieve an
average of 32 runs ? [2011-II]
(a) 65 (b) 60
(c) 55 (d) 50
10. The ratio of three numbers is 3 : 4 : 5 and the sum of their
squares is 1250. The sum of the three numbers is [2011-II]
(a) 30 (b) 5 0
(c) 60 (d) 9 0
11. The average age of three boys is 25 years and their ages are in
the proportion 3 : 5 : 7. What is the age of the youngest boy ?
[2011-II]
(a) 15 years (b) 18 years
(c) 21 years (d) 13 years
12. Find the average of all the numbers between 6 and 34 which
are divisible by 5. [2012-I]
( a) 18 (b) 2 0
(c) 24 (d) 3 0
13. The average of first 80 natural numbers is [2012-I]
( a) 40 (b) 4 1
(c) 40.5 (d) 1 42
14. If the sum of a few numbers is 450 and their mean is 50 and
if another number 100 is included, the mean would become
[2012-I]
(a) 55 (b) 6 0
(c) 75 (d) 1 50
15. Two numbers are in the ratio 7 : 8. If 3 is added to each of
them their ratio becomes 8:9. The numbers are [2012-I]
(a) 14, 16 (b) 24, 27
(c) 21, 24 (d) 16, 18
16. The sum of three numbers is 98. If the ratio of the first to the
second is 2 : 3 and that of the second to the third is 5 : 8, then
the second number is [2012-I]
(a) 20 (b) 30
(c) 48 (d) 58
17. A certain amount was divided between Sita and Gita in the
ratio 9 : 8. If Sita’s share was ` 4500 then the amount is
[2012-I]
(a) ` 9000 (b) ` 8500
(c) ` 6750 (d) ` 9025
18. A man’s average monthly expenditure for the first four
months of the year was ` 225.25. For the next five months,
the average monthly expenditure was ` 20.75 more than
what it was during the first four months. If the person spent
` 700 in all during the remaining three months of the year,
find what percntage of his annual income of ` 3500 he saved
in the year ? [2012-II]
Arithmetic
(a) 10% (b) 15%
(c) 19.11% (d) 25%
19. The ratio of the present age of P and Q is 2.3. The ratio of
their age after 18 years will be 4.5. What is the present age of
Q ? [2012-II]
(a) 26 years (b) 25 years
(c) 24 years (d) 27 years
20. The mean temperature of Monday to Wednesday was 37ºC
and of Tuesday to Thursday was 34°C. If the temperature
on Thursday was 4/5
th
 that of Monday , the temperature on
Thursday’ was [2012-II]
(a) 36.5°C (b) 36ºC
(c) 35.5°C (d) 34°C
21. A sum of money is to be distributed among P , Q and R in the
ratio of 6:19:7. If R gives ` 200 from his share to Q, the ratio
of P , Q and R becomes 3:10:3, what is the total sum ?
[2012-II]
(a) `  3200 (b) ` 12800
(c) `  6400 (d) data inadequate
22. In what ratio should tea worth ` 10 per kg be mixed with tea
worth ` 14 per kg so that the average price of the mixture
may be ` 11 per kg ? [2012-II]
(a) 2:1 (b) 3:1
(c) 3:2 (d) 4:3
23. The average age of 8 men is increased by 4 years when one
of them whose age is 30 years is replaced by a new man.
What is the age of new man ? [2013-I]
(a) 55 years (b) 62 years
(c) 42 years (d) 69 years
24. A man’s average monthly expenditure for the first four
months of the year was ` 231.25. For the next five months,
the average monthly expenditure was ` 22.75 more than
what it was during the first four months. If the person spent
` 605 in all during the remaining three months of the year,
find what percentage of his annual income of ` 3500 did he
save in the year ? [2013-I]
(a) 10% (b) 15%
(c) 20% (d) 25%
25. The average age of students of a class is 15.8 years. The
average age of boys in the class is 16.4 years and that of the
girls is 15.4 years. The ratio of the number of boys to the
number of girls in the class is [2013-I]
(a) 1 : 2 (b) 2 : 3
(c) 3 : 4 (d) 3 : 5
26. Divide ` 80 in the production of 3 : 6 : 7. [2013-I]
(a) ` 10, ` 35, ` 40 (b) ` 15, ` 30, ` 35
(c) ` 15, ` 35, ` 30 (b) ` 10, ` 40, ` 35
27. In a mixture of 60 litres, the ratio of milk and water is 2 : 1.
What amount of water must be added to make the ratio of
milk and water as 1 : 2 ? [2013-I]
(a) 42 Litres (b) 56 Litres
(c) 60 Litres (d) 77 Litres
28. There were 35 students in a hostel. If the number of
students be increased by 7, the expenditure on food
increases by ` 42 per day while the average expenditure of
students is reduced by ` 1. What was the initial expenditure
on food per day ? [2014-I]
(a) ` 432 (b) ` 442
(c) ` 420 (d) ` 400
29. There were 24 students in a class. One of them, who was 18
years old, left the class and his place was filled up by a new
comer. If the average of the class was thereby lowered by 1
month, the age of new comer is [2014-I]
(a) 14 years (b) 15 years
(c) 16 years (d) 17 years
30. 19 persons went to a hotel for a combined dinner party . 13 of
them spent ` 79 each on their dinner and the rest spent
` 4 more than the average expenditure of all the 19. What
was the total money spent by them ? [2014-I]
(a) 1628.4 (b) 1534
(c) 1492 (d) None of these
31. A factory employs skilled workers, unskilled workers and
clerks in the proportion 8: 5: 1 and the wages of a skilled
worker as unskilled worker and a clerk are in the ratio 5 : 2 : 3.
When 20 unskilled workers are employed, the total daily
wages of all, amount to ` 318. What is the daily wages in
`  paid to each category of employees ? [2014-II]
(a) 240, 57, 19 (b) 210, 70, 13
(c) 230, 65, 12 (d) 240, 60, 18
32. A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of
the dog are equal to 4 leaps of the cat. What is the ratio of
the speed of the cat to that of the dog ? [2014-II]
(a) 13 : 14 (b) 15 : 11
(c) 17 : 15 (d) 15 : 16
33. Ram Shiv and Ganesh assemble for a contributory party.
Ram brings 3 apples while Shiv brings 5. Since Ganesh did
not bring any , he contributed  ` 8/-. How many rupees should
Ram and Shiv respectively get, assuming each of the three
consumes an equal portion of the apples ? [2014-II]
(a) 1, 7 (b) 2, 5
(c) 5, 3 (d) 2, 6
34. The average weight of 5 men is increased by 2 Kg when one
of the men whose weight is 60 Kg is replaced by a new man.
The weight of the new man is [2015-I]
(a) 50 Kg (b) 65 Kg
(c) 68 Kg (d) 70 Kg
35. Gauri went to the stationers and bought things worth ` 25,
out of which 30 pasie went on sales tax on taxable purchases.
If the tax rate was 6%, then what was the cost of the free
items? [2015-II]
(a) ` 15 (b) ` 15.70
(c) ` 19.70 (d) ` 20
36. An automobile financier claims to be lending money at simple
interest, but he includes the interest every six month 5 for
calculating the principal. If he is charging an interest of
10%, the effective rate of interest becomes: [2015-II]
(a) 10% (b) 10.25%
(c) 10.5% (d) None of these
37. In a certain store, the profit is 320% of the cost. If the cost
increases by 25% but the selling price remains constant,
approximately what percentage of the selling price is the
profit? [2015-II]
(a) 30% (b) 70%
(c) 100% (d) 250%
Page 3


B-10 Arithmetic
Arithmetic
2
1. The average age of 35 students in a class is 16 years. Out of
these students the average age of 21 students is 14 years.
The average age of remaining students is [2011-I]
(a) 15 years (b) 17 years
(c) 20 years (d) 19 years
2. After replacing an old member by a new member, it was
found that the average age of five members of a club is the
same as it was 3 years ago. What is the difference between
the age of replaced member and new member ? [2011-I]
(a) 2 years (b) 8 years
(c) 15 years (d) 25 years
3. The average salary of all the workers in a workshop is Rs.
8000. The average salary of seven technicians is `12000
and average salary of others is ` 6000. The total number of
workers in the workshop are- [2011-I]
( a) 20 (b) 2 1
(c ) 22 (d) 2 3
4. The price of a scooter and a TV are in the ratio of 7 : 5. If the
scooter costs `8000 more than a TV set, then the price of TV
set is- [2011-I]
(a) ` 20000 (b) ` 24000
(c) ` 32000 (d) ` 28000
5. The speed of three cars is in the ratio of 5 : 4 : 6. The ratio
between the time taken by them to travel the same distance is
[2011-I]
(a) 5 : 4 : 6 (b) 6 : 4 : 5
(c) 10 : 12 : 15 (d) 12 : 15 : 10
6. The ratio between two numbers is 3 : 4. If each number is
increased by 6 the ratio becomes 4 : 5. The difference
between the numbers is [2011-I]
(a)1 (b) 3
(c)6 (d) 8
7. The average of five consecutive odd number is 61. What is
the difference between the highest and lowest number ?
[2011-II]
(a)2 (b) 5
(c)8 (d) 12
8. Jayesh is twice as old as Vijay and half as old as Suresh. If
the sum of Vijay’s age and Suresh’s age is 85 years what is
the age of Jayesh ? [2011-II]
(a) 34 years (b) 36 years
(c) 68 years (d) 24 years
9. A cricketer has an average of 30 runs in 14 innings. How
many runs should he score in his next innings to achieve an
average of 32 runs ? [2011-II]
(a) 65 (b) 60
(c) 55 (d) 50
10. The ratio of three numbers is 3 : 4 : 5 and the sum of their
squares is 1250. The sum of the three numbers is [2011-II]
(a) 30 (b) 5 0
(c) 60 (d) 9 0
11. The average age of three boys is 25 years and their ages are in
the proportion 3 : 5 : 7. What is the age of the youngest boy ?
[2011-II]
(a) 15 years (b) 18 years
(c) 21 years (d) 13 years
12. Find the average of all the numbers between 6 and 34 which
are divisible by 5. [2012-I]
( a) 18 (b) 2 0
(c) 24 (d) 3 0
13. The average of first 80 natural numbers is [2012-I]
( a) 40 (b) 4 1
(c) 40.5 (d) 1 42
14. If the sum of a few numbers is 450 and their mean is 50 and
if another number 100 is included, the mean would become
[2012-I]
(a) 55 (b) 6 0
(c) 75 (d) 1 50
15. Two numbers are in the ratio 7 : 8. If 3 is added to each of
them their ratio becomes 8:9. The numbers are [2012-I]
(a) 14, 16 (b) 24, 27
(c) 21, 24 (d) 16, 18
16. The sum of three numbers is 98. If the ratio of the first to the
second is 2 : 3 and that of the second to the third is 5 : 8, then
the second number is [2012-I]
(a) 20 (b) 30
(c) 48 (d) 58
17. A certain amount was divided between Sita and Gita in the
ratio 9 : 8. If Sita’s share was ` 4500 then the amount is
[2012-I]
(a) ` 9000 (b) ` 8500
(c) ` 6750 (d) ` 9025
18. A man’s average monthly expenditure for the first four
months of the year was ` 225.25. For the next five months,
the average monthly expenditure was ` 20.75 more than
what it was during the first four months. If the person spent
` 700 in all during the remaining three months of the year,
find what percntage of his annual income of ` 3500 he saved
in the year ? [2012-II]
Arithmetic
(a) 10% (b) 15%
(c) 19.11% (d) 25%
19. The ratio of the present age of P and Q is 2.3. The ratio of
their age after 18 years will be 4.5. What is the present age of
Q ? [2012-II]
(a) 26 years (b) 25 years
(c) 24 years (d) 27 years
20. The mean temperature of Monday to Wednesday was 37ºC
and of Tuesday to Thursday was 34°C. If the temperature
on Thursday was 4/5
th
 that of Monday , the temperature on
Thursday’ was [2012-II]
(a) 36.5°C (b) 36ºC
(c) 35.5°C (d) 34°C
21. A sum of money is to be distributed among P , Q and R in the
ratio of 6:19:7. If R gives ` 200 from his share to Q, the ratio
of P , Q and R becomes 3:10:3, what is the total sum ?
[2012-II]
(a) `  3200 (b) ` 12800
(c) `  6400 (d) data inadequate
22. In what ratio should tea worth ` 10 per kg be mixed with tea
worth ` 14 per kg so that the average price of the mixture
may be ` 11 per kg ? [2012-II]
(a) 2:1 (b) 3:1
(c) 3:2 (d) 4:3
23. The average age of 8 men is increased by 4 years when one
of them whose age is 30 years is replaced by a new man.
What is the age of new man ? [2013-I]
(a) 55 years (b) 62 years
(c) 42 years (d) 69 years
24. A man’s average monthly expenditure for the first four
months of the year was ` 231.25. For the next five months,
the average monthly expenditure was ` 22.75 more than
what it was during the first four months. If the person spent
` 605 in all during the remaining three months of the year,
find what percentage of his annual income of ` 3500 did he
save in the year ? [2013-I]
(a) 10% (b) 15%
(c) 20% (d) 25%
25. The average age of students of a class is 15.8 years. The
average age of boys in the class is 16.4 years and that of the
girls is 15.4 years. The ratio of the number of boys to the
number of girls in the class is [2013-I]
(a) 1 : 2 (b) 2 : 3
(c) 3 : 4 (d) 3 : 5
26. Divide ` 80 in the production of 3 : 6 : 7. [2013-I]
(a) ` 10, ` 35, ` 40 (b) ` 15, ` 30, ` 35
(c) ` 15, ` 35, ` 30 (b) ` 10, ` 40, ` 35
27. In a mixture of 60 litres, the ratio of milk and water is 2 : 1.
What amount of water must be added to make the ratio of
milk and water as 1 : 2 ? [2013-I]
(a) 42 Litres (b) 56 Litres
(c) 60 Litres (d) 77 Litres
28. There were 35 students in a hostel. If the number of
students be increased by 7, the expenditure on food
increases by ` 42 per day while the average expenditure of
students is reduced by ` 1. What was the initial expenditure
on food per day ? [2014-I]
(a) ` 432 (b) ` 442
(c) ` 420 (d) ` 400
29. There were 24 students in a class. One of them, who was 18
years old, left the class and his place was filled up by a new
comer. If the average of the class was thereby lowered by 1
month, the age of new comer is [2014-I]
(a) 14 years (b) 15 years
(c) 16 years (d) 17 years
30. 19 persons went to a hotel for a combined dinner party . 13 of
them spent ` 79 each on their dinner and the rest spent
` 4 more than the average expenditure of all the 19. What
was the total money spent by them ? [2014-I]
(a) 1628.4 (b) 1534
(c) 1492 (d) None of these
31. A factory employs skilled workers, unskilled workers and
clerks in the proportion 8: 5: 1 and the wages of a skilled
worker as unskilled worker and a clerk are in the ratio 5 : 2 : 3.
When 20 unskilled workers are employed, the total daily
wages of all, amount to ` 318. What is the daily wages in
`  paid to each category of employees ? [2014-II]
(a) 240, 57, 19 (b) 210, 70, 13
(c) 230, 65, 12 (d) 240, 60, 18
32. A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of
the dog are equal to 4 leaps of the cat. What is the ratio of
the speed of the cat to that of the dog ? [2014-II]
(a) 13 : 14 (b) 15 : 11
(c) 17 : 15 (d) 15 : 16
33. Ram Shiv and Ganesh assemble for a contributory party.
Ram brings 3 apples while Shiv brings 5. Since Ganesh did
not bring any , he contributed  ` 8/-. How many rupees should
Ram and Shiv respectively get, assuming each of the three
consumes an equal portion of the apples ? [2014-II]
(a) 1, 7 (b) 2, 5
(c) 5, 3 (d) 2, 6
34. The average weight of 5 men is increased by 2 Kg when one
of the men whose weight is 60 Kg is replaced by a new man.
The weight of the new man is [2015-I]
(a) 50 Kg (b) 65 Kg
(c) 68 Kg (d) 70 Kg
35. Gauri went to the stationers and bought things worth ` 25,
out of which 30 pasie went on sales tax on taxable purchases.
If the tax rate was 6%, then what was the cost of the free
items? [2015-II]
(a) ` 15 (b) ` 15.70
(c) ` 19.70 (d) ` 20
36. An automobile financier claims to be lending money at simple
interest, but he includes the interest every six month 5 for
calculating the principal. If he is charging an interest of
10%, the effective rate of interest becomes: [2015-II]
(a) 10% (b) 10.25%
(c) 10.5% (d) None of these
37. In a certain store, the profit is 320% of the cost. If the cost
increases by 25% but the selling price remains constant,
approximately what percentage of the selling price is the
profit? [2015-II]
(a) 30% (b) 70%
(c) 100% (d) 250%
Arithmetic
38. A man lent a sum of money at the rate of simple interest of
4%. If the interest for 8 years is ` 340 less than the principal,
the principal is [2015-II]
(a) ` 500 (b) ` 520
(c) ` 540 (d) ` 580
39. A alone can do a piece of work in 6 days and B alone in 8
days. A and B undertook to doo it for ` 3200. With the help
of C, they completed the work in 3 days. how much is to
paid to C? [2015-II]
(a) `  375 (b) ` 400
(c) `  600 (d) ` 800
40. In a mixture of 35 litres, the ratio of  milk and water is 4:1. If
7 litres of water is added to the mixture, the ratio of milk and
water of the new mixture will be [2015-II]
(a) 2 : 1 (b) 1 : 2
(c) 4 : 3 (d) 5 : 4
41. A shopkeeper sells one transistor for ` 840 at a gain of 20%
and another for ` 960 at a loss of 4%. His total gain or loss
percent is: [2015-II]
(a)
15
5 % loss
17
(b)
15
5 % gain
17
(c)
2
6 % gain
3
(d) None of these
42. A can do 
1
2
of a piece of work in 8 days while B can do the 
1
3
of the same work in 8 days. In how many days can both do
it together? [2015-II]
(a) 9.6 days (b) 10.5 days
(c) 1.2 days (d) 16 days
43. If the selling price is doubled, the profit triples. The profit
percent is [2015-II]
(a) 40 minutes (b) 1 hour
(c) 10 0% (d) 90%
44. Anmol sold two items for ` 1000 each. On one, he gained
10% and on other, he lost 10%. How much did he gain or
lose in the whole transaction? [2016-I]
(a) profit,0.95% (b) loss,1%
(c) profit,10% (d) loss,10%
45. The price of an item is decreased by 25%. What percent
increase must be done in new price to get the original price?
[2016-I]
(a)
1
33%
3
(b)
3
43%
4
(c)
2
55%
3
(d)
1
65%
4
46. A's salary is 50% more than B's. How much percent is B's
salary less than A's? [2016-I]
(a)
1
63%
4
(b)
1
43%
4
(c)
1
53%
3
(d)
1
33%
3
47. A sum was invested for 3 years at simple interest at a certain
rate. Had it been invested at 4% higher rate of interest, it
would have fetched `600 more. The sum is [2016-I]
(a) ` 4000 (b) ` 4950
(c) ` 5000 (d) ` 5150
48. The difference between simple and compound interests
compounded annually on a certain sum of money for 2 years
at 4% per annum is `1. The sum (in `) is: [2016-I]
(a) 6 25 (b) 6 30
(c) 6 40 (d) 6 50
49. A man rows to a place 48 km distant and come back in 14
hours. He finds that he can row 4 km with the stream in the
same time as 3 km against the stream. The rate of the stream
is: [2016-I]
(a) 1 km/hr (b) 1.5 km/hr
(c) 2 km/hr (d) 2.5 km/hr
50. If the incomes of Ram & Shyam are in the ratio of 3:4 and
their expenditures in the ratio of 4:5, find the ratio of their
savings, given that Shyam saves a third of his income.
[2016-I]
(a) 10:15 (b) 13:20
(c) 15:20 (d) 13:15
51. A does 1/2 as much work as B and C does 1/2 as much work
as A and B together. If C alone can finish the work in 40
days, then together all will finish the work in [2016-I]
(a) 30 days (b) 13 1/3 days
(c) 15 days (d) 20 days
52. A container contains 40 litres of milk. From this container 4
litres of milk was taken out and replaced by water. This
process was repeated further two times. How much milk is
now contained by the container? [2016-I]
(a) 26.34 litres (b) 27.36 litres
(c) 28 litres (d) 29.16 litres
53. A boat travels upstream from B to A and downstream from A
to B in 3 hours. If the speed of the boat in still water is 9 km/
h and the speed of the current is 3 km/h, the distance between
A and B is [2016-I]
(a) 9 km (b) 1 0 km
(c) 1 1 km (d) 1 2 km
54. A sum of money lent out at simple interest amounts to ` 720
after 2 years and to ` 1020 after a further period of 5 years.
The sum is [2016-I]
(a) ` 500 (b) ` 600
(c) ` 700 (d) ` 750
55. An amount of ` 735 was divided between A, B and C. If each
of them had received ` 25 less, their shares would have
been in the ratio of 1 : 3 : 2. The money received by C was
[2016 - II]
(a) ` 195 (b) ` 200
(c) ` 225 (d) ` 245
56. 20 litres of a mixture contains milk and water in the ratio 5 : 3.
If 4 litres of this mixture is replaced by 4 litres of milk, the
ratio of milk to water in the new mixture would be[2016 - II]
(a) 2 :1 (b) 7 :3
(c) 8 :3 (d) 4 :3
57. A can do a piece of work in 10 days. He works at it for 4 days
and then B finishes it in 9 days, in how many days can A and
B together finish the work? [2016 - II]
Page 4


B-10 Arithmetic
Arithmetic
2
1. The average age of 35 students in a class is 16 years. Out of
these students the average age of 21 students is 14 years.
The average age of remaining students is [2011-I]
(a) 15 years (b) 17 years
(c) 20 years (d) 19 years
2. After replacing an old member by a new member, it was
found that the average age of five members of a club is the
same as it was 3 years ago. What is the difference between
the age of replaced member and new member ? [2011-I]
(a) 2 years (b) 8 years
(c) 15 years (d) 25 years
3. The average salary of all the workers in a workshop is Rs.
8000. The average salary of seven technicians is `12000
and average salary of others is ` 6000. The total number of
workers in the workshop are- [2011-I]
( a) 20 (b) 2 1
(c ) 22 (d) 2 3
4. The price of a scooter and a TV are in the ratio of 7 : 5. If the
scooter costs `8000 more than a TV set, then the price of TV
set is- [2011-I]
(a) ` 20000 (b) ` 24000
(c) ` 32000 (d) ` 28000
5. The speed of three cars is in the ratio of 5 : 4 : 6. The ratio
between the time taken by them to travel the same distance is
[2011-I]
(a) 5 : 4 : 6 (b) 6 : 4 : 5
(c) 10 : 12 : 15 (d) 12 : 15 : 10
6. The ratio between two numbers is 3 : 4. If each number is
increased by 6 the ratio becomes 4 : 5. The difference
between the numbers is [2011-I]
(a)1 (b) 3
(c)6 (d) 8
7. The average of five consecutive odd number is 61. What is
the difference between the highest and lowest number ?
[2011-II]
(a)2 (b) 5
(c)8 (d) 12
8. Jayesh is twice as old as Vijay and half as old as Suresh. If
the sum of Vijay’s age and Suresh’s age is 85 years what is
the age of Jayesh ? [2011-II]
(a) 34 years (b) 36 years
(c) 68 years (d) 24 years
9. A cricketer has an average of 30 runs in 14 innings. How
many runs should he score in his next innings to achieve an
average of 32 runs ? [2011-II]
(a) 65 (b) 60
(c) 55 (d) 50
10. The ratio of three numbers is 3 : 4 : 5 and the sum of their
squares is 1250. The sum of the three numbers is [2011-II]
(a) 30 (b) 5 0
(c) 60 (d) 9 0
11. The average age of three boys is 25 years and their ages are in
the proportion 3 : 5 : 7. What is the age of the youngest boy ?
[2011-II]
(a) 15 years (b) 18 years
(c) 21 years (d) 13 years
12. Find the average of all the numbers between 6 and 34 which
are divisible by 5. [2012-I]
( a) 18 (b) 2 0
(c) 24 (d) 3 0
13. The average of first 80 natural numbers is [2012-I]
( a) 40 (b) 4 1
(c) 40.5 (d) 1 42
14. If the sum of a few numbers is 450 and their mean is 50 and
if another number 100 is included, the mean would become
[2012-I]
(a) 55 (b) 6 0
(c) 75 (d) 1 50
15. Two numbers are in the ratio 7 : 8. If 3 is added to each of
them their ratio becomes 8:9. The numbers are [2012-I]
(a) 14, 16 (b) 24, 27
(c) 21, 24 (d) 16, 18
16. The sum of three numbers is 98. If the ratio of the first to the
second is 2 : 3 and that of the second to the third is 5 : 8, then
the second number is [2012-I]
(a) 20 (b) 30
(c) 48 (d) 58
17. A certain amount was divided between Sita and Gita in the
ratio 9 : 8. If Sita’s share was ` 4500 then the amount is
[2012-I]
(a) ` 9000 (b) ` 8500
(c) ` 6750 (d) ` 9025
18. A man’s average monthly expenditure for the first four
months of the year was ` 225.25. For the next five months,
the average monthly expenditure was ` 20.75 more than
what it was during the first four months. If the person spent
` 700 in all during the remaining three months of the year,
find what percntage of his annual income of ` 3500 he saved
in the year ? [2012-II]
Arithmetic
(a) 10% (b) 15%
(c) 19.11% (d) 25%
19. The ratio of the present age of P and Q is 2.3. The ratio of
their age after 18 years will be 4.5. What is the present age of
Q ? [2012-II]
(a) 26 years (b) 25 years
(c) 24 years (d) 27 years
20. The mean temperature of Monday to Wednesday was 37ºC
and of Tuesday to Thursday was 34°C. If the temperature
on Thursday was 4/5
th
 that of Monday , the temperature on
Thursday’ was [2012-II]
(a) 36.5°C (b) 36ºC
(c) 35.5°C (d) 34°C
21. A sum of money is to be distributed among P , Q and R in the
ratio of 6:19:7. If R gives ` 200 from his share to Q, the ratio
of P , Q and R becomes 3:10:3, what is the total sum ?
[2012-II]
(a) `  3200 (b) ` 12800
(c) `  6400 (d) data inadequate
22. In what ratio should tea worth ` 10 per kg be mixed with tea
worth ` 14 per kg so that the average price of the mixture
may be ` 11 per kg ? [2012-II]
(a) 2:1 (b) 3:1
(c) 3:2 (d) 4:3
23. The average age of 8 men is increased by 4 years when one
of them whose age is 30 years is replaced by a new man.
What is the age of new man ? [2013-I]
(a) 55 years (b) 62 years
(c) 42 years (d) 69 years
24. A man’s average monthly expenditure for the first four
months of the year was ` 231.25. For the next five months,
the average monthly expenditure was ` 22.75 more than
what it was during the first four months. If the person spent
` 605 in all during the remaining three months of the year,
find what percentage of his annual income of ` 3500 did he
save in the year ? [2013-I]
(a) 10% (b) 15%
(c) 20% (d) 25%
25. The average age of students of a class is 15.8 years. The
average age of boys in the class is 16.4 years and that of the
girls is 15.4 years. The ratio of the number of boys to the
number of girls in the class is [2013-I]
(a) 1 : 2 (b) 2 : 3
(c) 3 : 4 (d) 3 : 5
26. Divide ` 80 in the production of 3 : 6 : 7. [2013-I]
(a) ` 10, ` 35, ` 40 (b) ` 15, ` 30, ` 35
(c) ` 15, ` 35, ` 30 (b) ` 10, ` 40, ` 35
27. In a mixture of 60 litres, the ratio of milk and water is 2 : 1.
What amount of water must be added to make the ratio of
milk and water as 1 : 2 ? [2013-I]
(a) 42 Litres (b) 56 Litres
(c) 60 Litres (d) 77 Litres
28. There were 35 students in a hostel. If the number of
students be increased by 7, the expenditure on food
increases by ` 42 per day while the average expenditure of
students is reduced by ` 1. What was the initial expenditure
on food per day ? [2014-I]
(a) ` 432 (b) ` 442
(c) ` 420 (d) ` 400
29. There were 24 students in a class. One of them, who was 18
years old, left the class and his place was filled up by a new
comer. If the average of the class was thereby lowered by 1
month, the age of new comer is [2014-I]
(a) 14 years (b) 15 years
(c) 16 years (d) 17 years
30. 19 persons went to a hotel for a combined dinner party . 13 of
them spent ` 79 each on their dinner and the rest spent
` 4 more than the average expenditure of all the 19. What
was the total money spent by them ? [2014-I]
(a) 1628.4 (b) 1534
(c) 1492 (d) None of these
31. A factory employs skilled workers, unskilled workers and
clerks in the proportion 8: 5: 1 and the wages of a skilled
worker as unskilled worker and a clerk are in the ratio 5 : 2 : 3.
When 20 unskilled workers are employed, the total daily
wages of all, amount to ` 318. What is the daily wages in
`  paid to each category of employees ? [2014-II]
(a) 240, 57, 19 (b) 210, 70, 13
(c) 230, 65, 12 (d) 240, 60, 18
32. A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of
the dog are equal to 4 leaps of the cat. What is the ratio of
the speed of the cat to that of the dog ? [2014-II]
(a) 13 : 14 (b) 15 : 11
(c) 17 : 15 (d) 15 : 16
33. Ram Shiv and Ganesh assemble for a contributory party.
Ram brings 3 apples while Shiv brings 5. Since Ganesh did
not bring any , he contributed  ` 8/-. How many rupees should
Ram and Shiv respectively get, assuming each of the three
consumes an equal portion of the apples ? [2014-II]
(a) 1, 7 (b) 2, 5
(c) 5, 3 (d) 2, 6
34. The average weight of 5 men is increased by 2 Kg when one
of the men whose weight is 60 Kg is replaced by a new man.
The weight of the new man is [2015-I]
(a) 50 Kg (b) 65 Kg
(c) 68 Kg (d) 70 Kg
35. Gauri went to the stationers and bought things worth ` 25,
out of which 30 pasie went on sales tax on taxable purchases.
If the tax rate was 6%, then what was the cost of the free
items? [2015-II]
(a) ` 15 (b) ` 15.70
(c) ` 19.70 (d) ` 20
36. An automobile financier claims to be lending money at simple
interest, but he includes the interest every six month 5 for
calculating the principal. If he is charging an interest of
10%, the effective rate of interest becomes: [2015-II]
(a) 10% (b) 10.25%
(c) 10.5% (d) None of these
37. In a certain store, the profit is 320% of the cost. If the cost
increases by 25% but the selling price remains constant,
approximately what percentage of the selling price is the
profit? [2015-II]
(a) 30% (b) 70%
(c) 100% (d) 250%
Arithmetic
38. A man lent a sum of money at the rate of simple interest of
4%. If the interest for 8 years is ` 340 less than the principal,
the principal is [2015-II]
(a) ` 500 (b) ` 520
(c) ` 540 (d) ` 580
39. A alone can do a piece of work in 6 days and B alone in 8
days. A and B undertook to doo it for ` 3200. With the help
of C, they completed the work in 3 days. how much is to
paid to C? [2015-II]
(a) `  375 (b) ` 400
(c) `  600 (d) ` 800
40. In a mixture of 35 litres, the ratio of  milk and water is 4:1. If
7 litres of water is added to the mixture, the ratio of milk and
water of the new mixture will be [2015-II]
(a) 2 : 1 (b) 1 : 2
(c) 4 : 3 (d) 5 : 4
41. A shopkeeper sells one transistor for ` 840 at a gain of 20%
and another for ` 960 at a loss of 4%. His total gain or loss
percent is: [2015-II]
(a)
15
5 % loss
17
(b)
15
5 % gain
17
(c)
2
6 % gain
3
(d) None of these
42. A can do 
1
2
of a piece of work in 8 days while B can do the 
1
3
of the same work in 8 days. In how many days can both do
it together? [2015-II]
(a) 9.6 days (b) 10.5 days
(c) 1.2 days (d) 16 days
43. If the selling price is doubled, the profit triples. The profit
percent is [2015-II]
(a) 40 minutes (b) 1 hour
(c) 10 0% (d) 90%
44. Anmol sold two items for ` 1000 each. On one, he gained
10% and on other, he lost 10%. How much did he gain or
lose in the whole transaction? [2016-I]
(a) profit,0.95% (b) loss,1%
(c) profit,10% (d) loss,10%
45. The price of an item is decreased by 25%. What percent
increase must be done in new price to get the original price?
[2016-I]
(a)
1
33%
3
(b)
3
43%
4
(c)
2
55%
3
(d)
1
65%
4
46. A's salary is 50% more than B's. How much percent is B's
salary less than A's? [2016-I]
(a)
1
63%
4
(b)
1
43%
4
(c)
1
53%
3
(d)
1
33%
3
47. A sum was invested for 3 years at simple interest at a certain
rate. Had it been invested at 4% higher rate of interest, it
would have fetched `600 more. The sum is [2016-I]
(a) ` 4000 (b) ` 4950
(c) ` 5000 (d) ` 5150
48. The difference between simple and compound interests
compounded annually on a certain sum of money for 2 years
at 4% per annum is `1. The sum (in `) is: [2016-I]
(a) 6 25 (b) 6 30
(c) 6 40 (d) 6 50
49. A man rows to a place 48 km distant and come back in 14
hours. He finds that he can row 4 km with the stream in the
same time as 3 km against the stream. The rate of the stream
is: [2016-I]
(a) 1 km/hr (b) 1.5 km/hr
(c) 2 km/hr (d) 2.5 km/hr
50. If the incomes of Ram & Shyam are in the ratio of 3:4 and
their expenditures in the ratio of 4:5, find the ratio of their
savings, given that Shyam saves a third of his income.
[2016-I]
(a) 10:15 (b) 13:20
(c) 15:20 (d) 13:15
51. A does 1/2 as much work as B and C does 1/2 as much work
as A and B together. If C alone can finish the work in 40
days, then together all will finish the work in [2016-I]
(a) 30 days (b) 13 1/3 days
(c) 15 days (d) 20 days
52. A container contains 40 litres of milk. From this container 4
litres of milk was taken out and replaced by water. This
process was repeated further two times. How much milk is
now contained by the container? [2016-I]
(a) 26.34 litres (b) 27.36 litres
(c) 28 litres (d) 29.16 litres
53. A boat travels upstream from B to A and downstream from A
to B in 3 hours. If the speed of the boat in still water is 9 km/
h and the speed of the current is 3 km/h, the distance between
A and B is [2016-I]
(a) 9 km (b) 1 0 km
(c) 1 1 km (d) 1 2 km
54. A sum of money lent out at simple interest amounts to ` 720
after 2 years and to ` 1020 after a further period of 5 years.
The sum is [2016-I]
(a) ` 500 (b) ` 600
(c) ` 700 (d) ` 750
55. An amount of ` 735 was divided between A, B and C. If each
of them had received ` 25 less, their shares would have
been in the ratio of 1 : 3 : 2. The money received by C was
[2016 - II]
(a) ` 195 (b) ` 200
(c) ` 225 (d) ` 245
56. 20 litres of a mixture contains milk and water in the ratio 5 : 3.
If 4 litres of this mixture is replaced by 4 litres of milk, the
ratio of milk to water in the new mixture would be[2016 - II]
(a) 2 :1 (b) 7 :3
(c) 8 :3 (d) 4 :3
57. A can do a piece of work in 10 days. He works at it for 4 days
and then B finishes it in 9 days, in how many days can A and
B together finish the work? [2016 - II]
Arithmetic
(a) 6 days (b) 8 days
(c)
1
8
2
 days (d)
1
7
2
days
58. How long will it take for a sum of money invested at 5 % p.a.
at simple interest to increase its value by 40 %?[2016 - II]
(a) 5 years (b) 6 years
(c) 7 years (d) 8 years
59. On a certain sum, the simple interest at the end of 
1
6
4
 years
becomes 
3
th
8
 of the sum. The rate percent is [2016 - II]
(a) 7% (b) 6%
(c) 5% (d) 5
1
2
%
60. A horse is sold at a profit of 25 %. If both the cost price and
selling price are ` 200 less, the profit will be 5 % more. The
cost price is [2016 - II]
(a) ` 1100 (b) ` 1200
(c) ` 1000 (d) ` 900
61. By selling a chair for ` 368. a man lost 8 %. For how much
should he have sold it to gain 15 %? [2016 - II]
(a) ` 450 (b) ` 475
(c) ` 460 (d) ` 500
62. If 3 men or 4 women can plough a field in 43 days, in how
many days 7 men and 5 women can plough the same field?
[2016 - II]
(a) 18 days (b) 10 days
(c) 12 days (d) 15 days
63. A man sold two watches for ` 3750 each; on one he gained
5 % and on the other he lost 5 %. What was his total gain or
loss as a percentage? [2016 - II]
(a) 0.25 % loss (b) 2.5 % loss
(c) 25 % gain (d) 12.5 % gain
64. 10 years ago the average age of a family of 4 members was
24 years. Now two more babies were born with age difference
of 2 years and average age of the family  is still 24. What is
the present age of the youngest child? [2017 - I]
(a) 4 years (b) 6 years
(c) 3 years (d) 5 years
65. 3 years back the average age of a family of 4 members was
24 years.  A baby having been born, the average age of the
family is still same. What is the present age of the baby?
[2017 - I]
(a) 14 years (b) 16 years
(c) 12 years (d) 10 years
66. If a sum of money placed at compound interest doubles
itself in 4 years, In how many years will it amount to 4 times?
[2017 - I]
(a) 6 (b) 8
(c) 10 (d) 12
67. A man bought 240 chocolates at 9 per dozen. If he sold all of
them at ` 1 each, what was his loss or gain percent?
[2017 - I]
(a)
1
33%
3
(b) 25%
(c) 20% (d) 15%
68. A shopkeeper sold two articles at ` 12000 each. One sold at
a loss of 25% and another one at a gain 20%. What is net
total loss and gain? [2017 - I]
(a) 4% (b) 8.5 %
(c) 6.5% (d) 7.6%
69. A shopkeeper sell a T .V for ` 3000 and makes a profit of 15%,he
sells a different T .V at a loss of 10%. Over all, he neither gains
nor loses. What is cost price of the second T.V? [2017 - I]
(a) 3913 (b) 3923
(c) 3833 (d) 3723
70. The ratio of the number of boys and girls in a school is 3:2.
If 20% of the boys and 30% of the girls are scholarship
holders, the percentage of the students who are not
scholarship holders is: [2017 - II]
(a) 80 (b) 7 2
(c) 58 (d) 7 6
71. A is thrice as efficient as workman as B and therefore is able
to finish a job in 40 days less than B to complete a work.
Working together, they can do it in: [2017 - II]
(a) 15   days (b) 18    days
(c) 24   days (d) 12    days
72. A and B together can complete a piece of work in 12 days, B
and C can do it in 15 days and A and C can do it in 20 days.
A, B and C together can complete it in [2017 - II]
(a) 12 days (b) 16 days
(c) 10 days (d) 8 days
73. A shopkeeper sell a watch for Rs. 575 and makes a profit of
15%, he sells a different watch at a loss of 10%. Over all, he
neither gains nor loses. What is cost price of the second
watch? [2017 - II]
(a) 5 50 (b) 6 25
(c) 6 50 (d) 6 75
74. If 1/5th tank is full and if 22 litres fuel poured in it, then 3/4th
tank is full. Find the capacity of tank? [2017 - II]
(a) 40 litres (b) 35 litres
(c) 50 litres (d) 45 litres
75. A person distributes his pens among four friends A, B, C
and D in the ratio 1/3 : 1 / 4 : 1/5 : 1/6. What is the minimum
number of pens that the person should have ?   [2017 - II]
(a) 57 (b) 4 8
(c) 62 (d) 3 8
76. A sum is lent at simple interest at a certain rate for 4 years.
Had it been put at 3% more rate, it would have earned ` 78
more. Find the sum? [2017 - II]
(a) 7 50 (b) 6 50
(c) 5 75 (d) 3 50
77. A cloth merchant says that due to slump in the market, he
sells the cloth at 10% loss but he uses a false meter scale
and actually gains 15%.Find the actual length of the scale.
[2017 - II]
(a) 78.25 cm (b) 75c m
(c) 85c m (d) 72.25cm
78. The average salary of all the workers in a workshop is
` 8,000. The average salary of 7 technicians is ` 12,000 and
the average salary of the rest is ` 6,000. The total number of
workers in the workshop is [2018 - I]
(a) 20 (b) 21 (c) 22 (d) 23
Page 5


B-10 Arithmetic
Arithmetic
2
1. The average age of 35 students in a class is 16 years. Out of
these students the average age of 21 students is 14 years.
The average age of remaining students is [2011-I]
(a) 15 years (b) 17 years
(c) 20 years (d) 19 years
2. After replacing an old member by a new member, it was
found that the average age of five members of a club is the
same as it was 3 years ago. What is the difference between
the age of replaced member and new member ? [2011-I]
(a) 2 years (b) 8 years
(c) 15 years (d) 25 years
3. The average salary of all the workers in a workshop is Rs.
8000. The average salary of seven technicians is `12000
and average salary of others is ` 6000. The total number of
workers in the workshop are- [2011-I]
( a) 20 (b) 2 1
(c ) 22 (d) 2 3
4. The price of a scooter and a TV are in the ratio of 7 : 5. If the
scooter costs `8000 more than a TV set, then the price of TV
set is- [2011-I]
(a) ` 20000 (b) ` 24000
(c) ` 32000 (d) ` 28000
5. The speed of three cars is in the ratio of 5 : 4 : 6. The ratio
between the time taken by them to travel the same distance is
[2011-I]
(a) 5 : 4 : 6 (b) 6 : 4 : 5
(c) 10 : 12 : 15 (d) 12 : 15 : 10
6. The ratio between two numbers is 3 : 4. If each number is
increased by 6 the ratio becomes 4 : 5. The difference
between the numbers is [2011-I]
(a)1 (b) 3
(c)6 (d) 8
7. The average of five consecutive odd number is 61. What is
the difference between the highest and lowest number ?
[2011-II]
(a)2 (b) 5
(c)8 (d) 12
8. Jayesh is twice as old as Vijay and half as old as Suresh. If
the sum of Vijay’s age and Suresh’s age is 85 years what is
the age of Jayesh ? [2011-II]
(a) 34 years (b) 36 years
(c) 68 years (d) 24 years
9. A cricketer has an average of 30 runs in 14 innings. How
many runs should he score in his next innings to achieve an
average of 32 runs ? [2011-II]
(a) 65 (b) 60
(c) 55 (d) 50
10. The ratio of three numbers is 3 : 4 : 5 and the sum of their
squares is 1250. The sum of the three numbers is [2011-II]
(a) 30 (b) 5 0
(c) 60 (d) 9 0
11. The average age of three boys is 25 years and their ages are in
the proportion 3 : 5 : 7. What is the age of the youngest boy ?
[2011-II]
(a) 15 years (b) 18 years
(c) 21 years (d) 13 years
12. Find the average of all the numbers between 6 and 34 which
are divisible by 5. [2012-I]
( a) 18 (b) 2 0
(c) 24 (d) 3 0
13. The average of first 80 natural numbers is [2012-I]
( a) 40 (b) 4 1
(c) 40.5 (d) 1 42
14. If the sum of a few numbers is 450 and their mean is 50 and
if another number 100 is included, the mean would become
[2012-I]
(a) 55 (b) 6 0
(c) 75 (d) 1 50
15. Two numbers are in the ratio 7 : 8. If 3 is added to each of
them their ratio becomes 8:9. The numbers are [2012-I]
(a) 14, 16 (b) 24, 27
(c) 21, 24 (d) 16, 18
16. The sum of three numbers is 98. If the ratio of the first to the
second is 2 : 3 and that of the second to the third is 5 : 8, then
the second number is [2012-I]
(a) 20 (b) 30
(c) 48 (d) 58
17. A certain amount was divided between Sita and Gita in the
ratio 9 : 8. If Sita’s share was ` 4500 then the amount is
[2012-I]
(a) ` 9000 (b) ` 8500
(c) ` 6750 (d) ` 9025
18. A man’s average monthly expenditure for the first four
months of the year was ` 225.25. For the next five months,
the average monthly expenditure was ` 20.75 more than
what it was during the first four months. If the person spent
` 700 in all during the remaining three months of the year,
find what percntage of his annual income of ` 3500 he saved
in the year ? [2012-II]
Arithmetic
(a) 10% (b) 15%
(c) 19.11% (d) 25%
19. The ratio of the present age of P and Q is 2.3. The ratio of
their age after 18 years will be 4.5. What is the present age of
Q ? [2012-II]
(a) 26 years (b) 25 years
(c) 24 years (d) 27 years
20. The mean temperature of Monday to Wednesday was 37ºC
and of Tuesday to Thursday was 34°C. If the temperature
on Thursday was 4/5
th
 that of Monday , the temperature on
Thursday’ was [2012-II]
(a) 36.5°C (b) 36ºC
(c) 35.5°C (d) 34°C
21. A sum of money is to be distributed among P , Q and R in the
ratio of 6:19:7. If R gives ` 200 from his share to Q, the ratio
of P , Q and R becomes 3:10:3, what is the total sum ?
[2012-II]
(a) `  3200 (b) ` 12800
(c) `  6400 (d) data inadequate
22. In what ratio should tea worth ` 10 per kg be mixed with tea
worth ` 14 per kg so that the average price of the mixture
may be ` 11 per kg ? [2012-II]
(a) 2:1 (b) 3:1
(c) 3:2 (d) 4:3
23. The average age of 8 men is increased by 4 years when one
of them whose age is 30 years is replaced by a new man.
What is the age of new man ? [2013-I]
(a) 55 years (b) 62 years
(c) 42 years (d) 69 years
24. A man’s average monthly expenditure for the first four
months of the year was ` 231.25. For the next five months,
the average monthly expenditure was ` 22.75 more than
what it was during the first four months. If the person spent
` 605 in all during the remaining three months of the year,
find what percentage of his annual income of ` 3500 did he
save in the year ? [2013-I]
(a) 10% (b) 15%
(c) 20% (d) 25%
25. The average age of students of a class is 15.8 years. The
average age of boys in the class is 16.4 years and that of the
girls is 15.4 years. The ratio of the number of boys to the
number of girls in the class is [2013-I]
(a) 1 : 2 (b) 2 : 3
(c) 3 : 4 (d) 3 : 5
26. Divide ` 80 in the production of 3 : 6 : 7. [2013-I]
(a) ` 10, ` 35, ` 40 (b) ` 15, ` 30, ` 35
(c) ` 15, ` 35, ` 30 (b) ` 10, ` 40, ` 35
27. In a mixture of 60 litres, the ratio of milk and water is 2 : 1.
What amount of water must be added to make the ratio of
milk and water as 1 : 2 ? [2013-I]
(a) 42 Litres (b) 56 Litres
(c) 60 Litres (d) 77 Litres
28. There were 35 students in a hostel. If the number of
students be increased by 7, the expenditure on food
increases by ` 42 per day while the average expenditure of
students is reduced by ` 1. What was the initial expenditure
on food per day ? [2014-I]
(a) ` 432 (b) ` 442
(c) ` 420 (d) ` 400
29. There were 24 students in a class. One of them, who was 18
years old, left the class and his place was filled up by a new
comer. If the average of the class was thereby lowered by 1
month, the age of new comer is [2014-I]
(a) 14 years (b) 15 years
(c) 16 years (d) 17 years
30. 19 persons went to a hotel for a combined dinner party . 13 of
them spent ` 79 each on their dinner and the rest spent
` 4 more than the average expenditure of all the 19. What
was the total money spent by them ? [2014-I]
(a) 1628.4 (b) 1534
(c) 1492 (d) None of these
31. A factory employs skilled workers, unskilled workers and
clerks in the proportion 8: 5: 1 and the wages of a skilled
worker as unskilled worker and a clerk are in the ratio 5 : 2 : 3.
When 20 unskilled workers are employed, the total daily
wages of all, amount to ` 318. What is the daily wages in
`  paid to each category of employees ? [2014-II]
(a) 240, 57, 19 (b) 210, 70, 13
(c) 230, 65, 12 (d) 240, 60, 18
32. A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of
the dog are equal to 4 leaps of the cat. What is the ratio of
the speed of the cat to that of the dog ? [2014-II]
(a) 13 : 14 (b) 15 : 11
(c) 17 : 15 (d) 15 : 16
33. Ram Shiv and Ganesh assemble for a contributory party.
Ram brings 3 apples while Shiv brings 5. Since Ganesh did
not bring any , he contributed  ` 8/-. How many rupees should
Ram and Shiv respectively get, assuming each of the three
consumes an equal portion of the apples ? [2014-II]
(a) 1, 7 (b) 2, 5
(c) 5, 3 (d) 2, 6
34. The average weight of 5 men is increased by 2 Kg when one
of the men whose weight is 60 Kg is replaced by a new man.
The weight of the new man is [2015-I]
(a) 50 Kg (b) 65 Kg
(c) 68 Kg (d) 70 Kg
35. Gauri went to the stationers and bought things worth ` 25,
out of which 30 pasie went on sales tax on taxable purchases.
If the tax rate was 6%, then what was the cost of the free
items? [2015-II]
(a) ` 15 (b) ` 15.70
(c) ` 19.70 (d) ` 20
36. An automobile financier claims to be lending money at simple
interest, but he includes the interest every six month 5 for
calculating the principal. If he is charging an interest of
10%, the effective rate of interest becomes: [2015-II]
(a) 10% (b) 10.25%
(c) 10.5% (d) None of these
37. In a certain store, the profit is 320% of the cost. If the cost
increases by 25% but the selling price remains constant,
approximately what percentage of the selling price is the
profit? [2015-II]
(a) 30% (b) 70%
(c) 100% (d) 250%
Arithmetic
38. A man lent a sum of money at the rate of simple interest of
4%. If the interest for 8 years is ` 340 less than the principal,
the principal is [2015-II]
(a) ` 500 (b) ` 520
(c) ` 540 (d) ` 580
39. A alone can do a piece of work in 6 days and B alone in 8
days. A and B undertook to doo it for ` 3200. With the help
of C, they completed the work in 3 days. how much is to
paid to C? [2015-II]
(a) `  375 (b) ` 400
(c) `  600 (d) ` 800
40. In a mixture of 35 litres, the ratio of  milk and water is 4:1. If
7 litres of water is added to the mixture, the ratio of milk and
water of the new mixture will be [2015-II]
(a) 2 : 1 (b) 1 : 2
(c) 4 : 3 (d) 5 : 4
41. A shopkeeper sells one transistor for ` 840 at a gain of 20%
and another for ` 960 at a loss of 4%. His total gain or loss
percent is: [2015-II]
(a)
15
5 % loss
17
(b)
15
5 % gain
17
(c)
2
6 % gain
3
(d) None of these
42. A can do 
1
2
of a piece of work in 8 days while B can do the 
1
3
of the same work in 8 days. In how many days can both do
it together? [2015-II]
(a) 9.6 days (b) 10.5 days
(c) 1.2 days (d) 16 days
43. If the selling price is doubled, the profit triples. The profit
percent is [2015-II]
(a) 40 minutes (b) 1 hour
(c) 10 0% (d) 90%
44. Anmol sold two items for ` 1000 each. On one, he gained
10% and on other, he lost 10%. How much did he gain or
lose in the whole transaction? [2016-I]
(a) profit,0.95% (b) loss,1%
(c) profit,10% (d) loss,10%
45. The price of an item is decreased by 25%. What percent
increase must be done in new price to get the original price?
[2016-I]
(a)
1
33%
3
(b)
3
43%
4
(c)
2
55%
3
(d)
1
65%
4
46. A's salary is 50% more than B's. How much percent is B's
salary less than A's? [2016-I]
(a)
1
63%
4
(b)
1
43%
4
(c)
1
53%
3
(d)
1
33%
3
47. A sum was invested for 3 years at simple interest at a certain
rate. Had it been invested at 4% higher rate of interest, it
would have fetched `600 more. The sum is [2016-I]
(a) ` 4000 (b) ` 4950
(c) ` 5000 (d) ` 5150
48. The difference between simple and compound interests
compounded annually on a certain sum of money for 2 years
at 4% per annum is `1. The sum (in `) is: [2016-I]
(a) 6 25 (b) 6 30
(c) 6 40 (d) 6 50
49. A man rows to a place 48 km distant and come back in 14
hours. He finds that he can row 4 km with the stream in the
same time as 3 km against the stream. The rate of the stream
is: [2016-I]
(a) 1 km/hr (b) 1.5 km/hr
(c) 2 km/hr (d) 2.5 km/hr
50. If the incomes of Ram & Shyam are in the ratio of 3:4 and
their expenditures in the ratio of 4:5, find the ratio of their
savings, given that Shyam saves a third of his income.
[2016-I]
(a) 10:15 (b) 13:20
(c) 15:20 (d) 13:15
51. A does 1/2 as much work as B and C does 1/2 as much work
as A and B together. If C alone can finish the work in 40
days, then together all will finish the work in [2016-I]
(a) 30 days (b) 13 1/3 days
(c) 15 days (d) 20 days
52. A container contains 40 litres of milk. From this container 4
litres of milk was taken out and replaced by water. This
process was repeated further two times. How much milk is
now contained by the container? [2016-I]
(a) 26.34 litres (b) 27.36 litres
(c) 28 litres (d) 29.16 litres
53. A boat travels upstream from B to A and downstream from A
to B in 3 hours. If the speed of the boat in still water is 9 km/
h and the speed of the current is 3 km/h, the distance between
A and B is [2016-I]
(a) 9 km (b) 1 0 km
(c) 1 1 km (d) 1 2 km
54. A sum of money lent out at simple interest amounts to ` 720
after 2 years and to ` 1020 after a further period of 5 years.
The sum is [2016-I]
(a) ` 500 (b) ` 600
(c) ` 700 (d) ` 750
55. An amount of ` 735 was divided between A, B and C. If each
of them had received ` 25 less, their shares would have
been in the ratio of 1 : 3 : 2. The money received by C was
[2016 - II]
(a) ` 195 (b) ` 200
(c) ` 225 (d) ` 245
56. 20 litres of a mixture contains milk and water in the ratio 5 : 3.
If 4 litres of this mixture is replaced by 4 litres of milk, the
ratio of milk to water in the new mixture would be[2016 - II]
(a) 2 :1 (b) 7 :3
(c) 8 :3 (d) 4 :3
57. A can do a piece of work in 10 days. He works at it for 4 days
and then B finishes it in 9 days, in how many days can A and
B together finish the work? [2016 - II]
Arithmetic
(a) 6 days (b) 8 days
(c)
1
8
2
 days (d)
1
7
2
days
58. How long will it take for a sum of money invested at 5 % p.a.
at simple interest to increase its value by 40 %?[2016 - II]
(a) 5 years (b) 6 years
(c) 7 years (d) 8 years
59. On a certain sum, the simple interest at the end of 
1
6
4
 years
becomes 
3
th
8
 of the sum. The rate percent is [2016 - II]
(a) 7% (b) 6%
(c) 5% (d) 5
1
2
%
60. A horse is sold at a profit of 25 %. If both the cost price and
selling price are ` 200 less, the profit will be 5 % more. The
cost price is [2016 - II]
(a) ` 1100 (b) ` 1200
(c) ` 1000 (d) ` 900
61. By selling a chair for ` 368. a man lost 8 %. For how much
should he have sold it to gain 15 %? [2016 - II]
(a) ` 450 (b) ` 475
(c) ` 460 (d) ` 500
62. If 3 men or 4 women can plough a field in 43 days, in how
many days 7 men and 5 women can plough the same field?
[2016 - II]
(a) 18 days (b) 10 days
(c) 12 days (d) 15 days
63. A man sold two watches for ` 3750 each; on one he gained
5 % and on the other he lost 5 %. What was his total gain or
loss as a percentage? [2016 - II]
(a) 0.25 % loss (b) 2.5 % loss
(c) 25 % gain (d) 12.5 % gain
64. 10 years ago the average age of a family of 4 members was
24 years. Now two more babies were born with age difference
of 2 years and average age of the family  is still 24. What is
the present age of the youngest child? [2017 - I]
(a) 4 years (b) 6 years
(c) 3 years (d) 5 years
65. 3 years back the average age of a family of 4 members was
24 years.  A baby having been born, the average age of the
family is still same. What is the present age of the baby?
[2017 - I]
(a) 14 years (b) 16 years
(c) 12 years (d) 10 years
66. If a sum of money placed at compound interest doubles
itself in 4 years, In how many years will it amount to 4 times?
[2017 - I]
(a) 6 (b) 8
(c) 10 (d) 12
67. A man bought 240 chocolates at 9 per dozen. If he sold all of
them at ` 1 each, what was his loss or gain percent?
[2017 - I]
(a)
1
33%
3
(b) 25%
(c) 20% (d) 15%
68. A shopkeeper sold two articles at ` 12000 each. One sold at
a loss of 25% and another one at a gain 20%. What is net
total loss and gain? [2017 - I]
(a) 4% (b) 8.5 %
(c) 6.5% (d) 7.6%
69. A shopkeeper sell a T .V for ` 3000 and makes a profit of 15%,he
sells a different T .V at a loss of 10%. Over all, he neither gains
nor loses. What is cost price of the second T.V? [2017 - I]
(a) 3913 (b) 3923
(c) 3833 (d) 3723
70. The ratio of the number of boys and girls in a school is 3:2.
If 20% of the boys and 30% of the girls are scholarship
holders, the percentage of the students who are not
scholarship holders is: [2017 - II]
(a) 80 (b) 7 2
(c) 58 (d) 7 6
71. A is thrice as efficient as workman as B and therefore is able
to finish a job in 40 days less than B to complete a work.
Working together, they can do it in: [2017 - II]
(a) 15   days (b) 18    days
(c) 24   days (d) 12    days
72. A and B together can complete a piece of work in 12 days, B
and C can do it in 15 days and A and C can do it in 20 days.
A, B and C together can complete it in [2017 - II]
(a) 12 days (b) 16 days
(c) 10 days (d) 8 days
73. A shopkeeper sell a watch for Rs. 575 and makes a profit of
15%, he sells a different watch at a loss of 10%. Over all, he
neither gains nor loses. What is cost price of the second
watch? [2017 - II]
(a) 5 50 (b) 6 25
(c) 6 50 (d) 6 75
74. If 1/5th tank is full and if 22 litres fuel poured in it, then 3/4th
tank is full. Find the capacity of tank? [2017 - II]
(a) 40 litres (b) 35 litres
(c) 50 litres (d) 45 litres
75. A person distributes his pens among four friends A, B, C
and D in the ratio 1/3 : 1 / 4 : 1/5 : 1/6. What is the minimum
number of pens that the person should have ?   [2017 - II]
(a) 57 (b) 4 8
(c) 62 (d) 3 8
76. A sum is lent at simple interest at a certain rate for 4 years.
Had it been put at 3% more rate, it would have earned ` 78
more. Find the sum? [2017 - II]
(a) 7 50 (b) 6 50
(c) 5 75 (d) 3 50
77. A cloth merchant says that due to slump in the market, he
sells the cloth at 10% loss but he uses a false meter scale
and actually gains 15%.Find the actual length of the scale.
[2017 - II]
(a) 78.25 cm (b) 75c m
(c) 85c m (d) 72.25cm
78. The average salary of all the workers in a workshop is
` 8,000. The average salary of 7 technicians is ` 12,000 and
the average salary of the rest is ` 6,000. The total number of
workers in the workshop is [2018 - I]
(a) 20 (b) 21 (c) 22 (d) 23
Arithmetic
79. The monthly salaries of A and B together amount to ` 40,000.
A spends 85% of his salary and B, 95% of his salary . If now
their savings are the same, then the salary (in `) of A is
[2018 - I]
(a) 10,000 (b) 12,000 (c) 16,000 (d) 18,000
80. The price of table depreciates every year by 20%. If the
value of the table after 2 years will be ` 32000, then what is
the present price (in `) of the table?    [2018 - I]
(a) 48000 (b) 44000 (c) 50000 (d) 51000
81. Krishna purchased a number of articles at `10 for each and
the same number for ` 14 each. He mixed them together and
sold them for `13 each. Then his gain or loss percent is
[2018 - I]
(a) Loss 
1
8%
3
(b) Gain 
2
8%
3
(c) Loss 
2
8%
3
(d) Gain 
1
8%
3
82. The price of an article is first decreased by 20% and then
increased by 30%. if the resulting price is ` 416, the original
price of the article is. [2018 - I]
(a) ` 350 (b) ` 405
(c) `4 00 (d) ` 450
83. A sum of ` 12,000, deposited at compound interest becomes
double after 5 years. How much will it be after 20 years ?
[2018 - I]
(a) ` 1,44,000 (b) ` 1,20,000
(c) ` 1,50,000 (d) ` 1,92,000
84. A sum becomes ` 2,916 in 2 years at 8% per annum
compound interest. The simple interest at 9% per annum for
3 years on the same amount will be [2018 - I]
(a) ` 625 (b) ` 600
(c) ` 675 (d) ` 650
85. ` 700 is divided among A, B, C in such a way that the ratio
of the amount of A and B is 2 : 3 and that of B and C is 4 : 5.
Find the amounts in ` each received, in the order A, B, C.
[2018 - I]
(a) 150, 250, 300 (b) 160, 240, 300
(c) 150, 250, 290 (d) 150, 240, 310
86. A and B can complete a piece of work in 8 days, B and C can
do it in 12 days, C and A can do it in 8 days. A, B and C
together can complete it in     [2018 - I]
(a) 4 days (b) 5 days
(c) 6 days (d) 7 days
87. Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it
in 6 hours. If both the pipes are opened and after 2 hours
pipe A is closed, then the other pipe will fill the tank in
[2018 - I]
(a) 6 hours (b)
1
3
2
hours
(c) 4 hours (d)
1
2
2
hours
88. P is four times as efficient as Q.P can complete a work in 45
days less than Q. If both of them work together, then in
how many days the work will be completed?    [2018 - I]
(a) 10 (b) 12
(c) 15 (d) 30
89. The difference between compound interest and simple
interest accrued on an amount at the end of 3rd year at a rate
of 10% is 77.5 rupees. What is amount?             [2018 - II]
(a) 2600 (b) 2500
(c) 2800 (d) 2950
90. A person sells two horses for rupees 1200/ each. On the first
at a profit of 20% and second at a loss of 20%. The overall
profit/loss in percentage is__ ?             [2018 - II]
(a) 4% loss (b) 4% profit
(c) 5% loss (d) 5% profit
91. Efficiency of A, B and C is in the ratio 4:5:6. What is the ratio
of the time in which they complete the work?     [2018 - II]
(a) 5:4 :3 (b) 15:12:10
(c) 15:10:12 (d) 10:12:15
92. Someone purchase 5 dozen of egg in 
`
100. Out of which
20% eggs were found broken. At what rate he should sell
eggs so that he gets 10% profit?              [2018 - II]
(a) 2.29 (b) 3.25
(c) 2.75 (d) 3.75
93. A bank give 16% interest per annum compounded semi
annually . What interest a man get on amount of 
`
10000 in 2
years?               [2018 - II]
(a) 12665 (b) 13205
(c) 14515 (d) 13605
94. If there is 25% increase in the cost of sugar by what %
consumption should be decreased in order to maintain
expenditure?              [2018 - II]
(a) 25% (b) 20%
(c) 32.5% (d) 15%
95. Average marks of a class are 70. If average marks of fail
students are 40 and pass students are 80 marks. Find
percentage of pass students? [2018 - II]
(a) 25% (b) 50%
(c) 65% (d) 75%
96. The population of a village increase 5% per annum. It's
population at the end of 2016 was 1852200. What was its
population in 2014? [2018 - II]
(a) 1680000 (b) 1640000
(c) 1720000 (d) 1560000
97. 250 ml of mixture contains milk and water in the ratio of 7:2.
How much more milk must be added to get a new mixture
containing milk and water in the ratio of 4:1?       [2018 - II]
(a) 50 ml (b) 42 ml
(c) 28 ml (d) 32 ml
98. The average age of 25 students is 16years. If a teacher is
added the average age becomes 18 years. What is the age
of teacher?               [2018 - II]
(a) 68 years (b) 62 years
(c) 64 years (d) 70 years
99. A and B can do a piece of work in 10 days. B and C can do it
in 12 days. A and C can do it in 15 days. How long will A take
to do it alone?              [2018 - II]
(a) 20 days (b) 24 days
(c) 30 days (d) 40 days
100. The price of onions has been increased by 50% in order to
keep the expenditure on onions the same, the percentage of
reduction in consumption has to be.   [2018 - II]