67 MCQs for CSS, PMS, NTS and all other Competitive exams with Solution
Math Solved MCQs for CSS, PMS, NTS
and all other Competitive exams
1 The price of sugar
increases by 32%. A family reduces its consumption so that the expenditure of
the sugar is up by 10% only. If the total consumption of sugar before the price
rise was 10 kg per month, then the consumption of sugar per month at present(in
kg) is
(a) 8.33 (b) 8.5
(c) 8.75 (d) 9
(a) 8.33 (b) 8.5
(c) 8.75 (d) 9
2
A ball
pen factory decided to reduce its production by 10% over that of previous month
for next 3 months starting from February 1994. In January 1994, it
produced 3000 ball pens. How many ball pens were produced in March 1994?
(a) 2700 (b) 2430
(c) 2187 (d) 2400
(a) 2700 (b) 2430
(c) 2187 (d) 2400
3
A building worth Rs 133,100 is constructed on land worth Rs. 72,900. After how
many years will the value of both be the same if land appreciates at 10% pa.
and building depreciates at 10% p.a. ?
(a) 2.5 (b) 2
(c) 1.5 (d) 3
(a) 2.5 (b) 2
(c) 1.5 (d) 3
4
A man’s basic pay for a 40 hour week is Rs. 2000. Overtime is paid for at 25%
above the basic rate. In a certain week, he worked overtime and his total wage
was Rs. 2500. He, therefore, worked for a total of:
(a) 45 hours (b) 47 hours
(c) 48 hours (d) 50 hours
(a) 45 hours (b) 47 hours
(c) 48 hours (d) 50 hours
5
Salaries of A, B and C are in the ratio 1:2:3. Salary of B and C together is
Rs. 60000. By what percent is salary of C more than that of A?
(a) 300 (b) 600
(c) 100 (d) 200
(a) 300 (b) 600
(c) 100 (d) 200
6
The price of a table is Rs. 400 more than that of a chair. If 6 tables and 6
chairs together cost Rs. 4800, by what percent is the price of the chair less
than that of the table?
(a) 200 (b) 400
(c) 100 (d) None of these
(a) 200 (b) 400
(c) 100 (d) None of these
7
The length and breadth of a square are increased by 40% and 30% respectively.
The area of the resulting rectangle exceeds the area of the square by?
(a) 42% (b) 62%
(c) 82% (d) None of these
(a) 42% (b) 62%
(c) 82% (d) None of these
8
The length of a rectangle is increased by 20% and the width is decreased by
20%. The area decreases by
(a) 0.8% (b) 1.2%
(c) 4% (d) 8%
(a) 0.8% (b) 1.2%
(c) 4% (d) 8%
9
The length of a rectangle is increased by 60%. By what percent would the width
have to be decreased to maintain the same area ?
(a) 37 % (b) 60%
(c) 75% (d) None of these
(a) 37 % (b) 60%
(c) 75% (d) None of these
10
In a market survey, 20% opted for product A whereas 60% opted for product B.
The remaining individuals were not certain. If the difference between those who
opted for product B and those who were uncertain was 720, how many individuals
were covered in the survey ?
(a) 3600 (b) 1440
(c) 1800 (d) Data inadequate
(a) 3600 (b) 1440
(c) 1800 (d) Data inadequate
13
5 out of 2250 parts of earth is sulphur. What is the percentage of sulphur in
earth?
(a) 11/50 (b) 2/9
(c) 1/45 (d) 2/45
(a) 11/50 (b) 2/9
(c) 1/45 (d) 2/45
14
45 x ? = 25% of 900
(a) 16.20 (b) 500
(c) 4 (d) 5
(a) 16.20 (b) 500
(c) 4 (d) 5
15
218% of 1674 = ? x 1800
(a) 4 (b) 0.5
(c) 6 (d) None of these
(a) 4 (b) 0.5
(c) 6 (d) None of these
16
13937.869 ÷ 199.54 + 15% of 201=?
(a) 150 (b) 90
(c) 80 (d) 100
(a) 150 (b) 90
(c) 80 (d) 100
17
63% of 25/7 is ?
(a) 2.25 (b) 2.40
(c) 2.50 (d) 2.75
(a) 2.25 (b) 2.40
(c) 2.50 (d) 2.75
18
If 30 % of a number is 12.6, then the number is?
(a) 41 (b) 51
(c) 52 (d) 42
(a) 41 (b) 51
(c) 52 (d) 42
19
5% of(25% of Rs. 1600) is?
(a) Rs. 5 (b) Rs. 17.50
(c) Rs. 20 (d) Rs. 25
(a) Rs. 5 (b) Rs. 17.50
(c) Rs. 20 (d) Rs. 25
20
(25/3) % of ? = 150
(a) 1250 (b) 1800
(c) 1700 (d) 1400
(a) 1250 (b) 1800
(c) 1700 (d) 1400
21
35% of 30=25% of ? +1
(a) 28 (b) 38
(c) 42 (d) 32
(a) 28 (b) 38
(c) 42 (d) 32
22 ?%
of 6144 = 5/2 x 245.76
(a) 16 (b) 20
(c) 5 (d) 10
(a) 16 (b) 20
(c) 5 (d) 10
23
(30% of 80)/? =24
(a) 3/10 (b) 3/17
(c) 1 (d) 2
(a) 3/10 (b) 3/17
(c) 1 (d) 2
24 45%
of ? + 30% of 90 = 30% of 210.
(a) 120 (b) 80
(c) 60 (d) 90
(a) 120 (b) 80
(c) 60 (d) 90
25 One
fourth of one third of two fifth of a number is 15. V/hat will be 40% of that
number?
(a) 120 (b) 350
(c) 270 (d) 180
(a) 120 (b) 350
(c) 270 (d) 180
26 If
37% of a number is 990.86, what will be approximately 19% of that number?
(a) 600 (b) 400
(c) 500 (d) 700
(a) 600 (b) 400
(c) 500 (d) 700
27 If
15% of 40 is greater than 25% of a number by 2, the number is ?
(a) 16 (b) 20
(c) 24 (d) 32
(a) 16 (b) 20
(c) 24 (d) 32
28
What will be 160% of a number whose 200% is 140?
(a) 200 (b) 160
(c) 140 (d) 112
(a) 200 (b) 160
(c) 140 (d) 112
29 If 75% of a number is added
to 75, the result is the number itself. Then, the number is ?
(a) 400 (b) 300
(c) 60 (d) 50
(a) 400 (b) 300
(c) 60 (d) 50
30
Subtracting 40% of a number from the number, we get the result as 30. The
number is?
(a) 28 (b) 50
(c) 52 (d) 70
(a) 28 (b) 50
(c) 52 (d) 70
31 If
three fifth of a number is 40 more than 40% of the same number. What is the
number?
(a) 100 (b) 150
(c) 200 (d) 400
(a) 100 (b) 150
(c) 200 (d) 400
32 A
number, on subtracting 15 from it, reduces to its 80% What is 40% of that
number?
(a) 60 (b) 45
(c) 30 (d) 90
(a) 60 (b) 45
(c) 30 (d) 90
33 The
population of a town has increased from 133575 to 138918. The percent increase
in population is ?
(a) 2.5 (b) 3
(c) 3.5 (d) 4
(a) 2.5 (b) 3
(c) 3.5 (d) 4
34 If
x% of y is the same as 4/5 of 80 , then the value of xy is
(a) 320 (b) 400
(c) 640 (d) None
(a) 320 (b) 400
(c) 640 (d) None
35
Subtracting 6% of x from xi s equivalent to multiplying x by how much?
(a) 0 .94 (b) 9.4
(c) 0.094 (d) 94
(a) 0 .94 (b) 9.4
(c) 0.094 (d) 94
36 If
8% of x=4% of y, then 20% of x is?
(a) 10% of y (b) 16% of y
(c) 80% of y (d) None of these
(a) 10% of y (b) 16% of y
(c) 80% of y (d) None of these
37
(x % of y+ y % of x ) is?
(a) x % of y (b) y% of x
(c) 2 % of xy (d) xy % of 3
(a) x % of y (b) y% of x
(c) 2 % of xy (d) xy % of 3
38 It
is known that 20% of the mangoes are rotten. If number of rotten mangoes is 35,
then the total number of mangoes is
(a) 150 (b) 175
(c) 180 (d) 185
(a) 150 (b) 175
(c) 180 (d) 185
39 A
student has to secure 40% marks to pass. He gets 178 marks and fails by 22
marks. The maximum marks are?
(a) 200 (b) 500
(c) 800 (d) 1000
(a) 200 (b) 500
(c) 800 (d) 1000
40 A
houseowner was having his house painted. He was advised that he would require
25 kg of paint. Allowing for 15% wastage and assuming that the paint is
available in 2kg cans, what would be the cost of paint purchased, if one can
cost Rs. 16 ?
(a) Rs. 240 (b) Rs. 180
(c) Rs. 160 (d) Rs. 360
(a) Rs. 240 (b) Rs. 180
(c) Rs. 160 (d) Rs. 360
41 A reduction
of 12.5% in the price of a dining table brought down its price to Rs. 4375. The
original price(in Rs.) of the table was?
(a) 6000 (b) 5400
(c) 5200 (d) 5000
(a) 6000 (b) 5400
(c) 5200 (d) 5000
42 In
a library, 20% books are Urdu , 50% of the remaining are in English and the
remaining 9000 are in various other languages. What is the total number of
books in English?
(a) 4000 (b) 3000
(c) 2250 (d) None of these
(a) 4000 (b) 3000
(c) 2250 (d) None of these
43 Ali
spends 30% of his income on CNG, ¼ of the remaining on house rent and the
balance on food. If he spends Rs. 300 on CNG then what is the expenditure on
house rent?
(a) Rs 525 (b) Rs. 1000
(c) Rs 675 (d) Rs. 175
(a) Rs 525 (b) Rs. 1000
(c) Rs 675 (d) Rs. 175
44
The price of jute has been reduced by 20%. If the reduced price is Rs. 800 per
quintal, the original price per quintal was?
(a) Rs. 900 (b) Rs. 640
(c) Rs. 960 (d) Rs. 1000
(a) Rs. 900 (b) Rs. 640
(c) Rs. 960 (d) Rs. 1000
45
Tariq spends 40% of his salary on food articles and one third of the remaining
on transport. If he saves Rs. 450 per month which is half of the balance after
spending on food items and transport, what is his monthly salary?
(a) Rs. 4500 (b) Rs. 2250
(c) Rs. 1125 (d) Rs. 2500
(a) Rs. 4500 (b) Rs. 2250
(c) Rs. 1125 (d) Rs. 2500
46 In
an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of
the girls passed the examination. The percentage of candidates failed is ?
(a) 45 (b) 45.5
(c) 54.5 (d) 59.2
(a) 45 (b) 45.5
(c) 54.5 (d) 59.2
47
Haris secured 50% marks in Sindhi, 60% in English and 70% in Maths as well as
in Science. What were his total marks if the maximum marks obtainable in each
of these 4 subjects was 50 ?
(a) 125 (b) 120
(c) 250 (d) 150
(a) 125 (b) 120
(c) 250 (d) 150
48 In
a city, 35% of the population is composed of migrants, 20% of whom are from
rural areas. Of the local population, 48% is female while this figure for rural
and urban migrants is 30% and 40% respectively. If the total population of the
city is 728400, what is its female population 7
(a) 324138 (b) 349680
(c) 509940 (d) None
(a) 324138 (b) 349680
(c) 509940 (d) None
49 A’s
marks in Biology are 20 less than 25% of the total marks obtained by him in
Biology, Maths and Physics. If his marks in Physics be 50, what are his marks
in Maths ?
(a) 40 (b) 45
(c) 50 (d) Can’t be determined
(a) 40 (b) 45
(c) 50 (d) Can’t be determined
50 An
increase of Rs. 60 in the monthly salary of Umar made it 50% of the monthly
salary of Ali. What is Umar’s present monthly salary 7
(a) Rs. 180 (b) Rs. 240
(c) Rs. 300 (d) Data inadequate
(a) Rs. 180 (b) Rs. 240
(c) Rs. 300 (d) Data inadequate
51 A
man bought a house for Rs. 5 lakhs and rents it. He puts 12.5% of each month’s
rent aside for repairs, pays Rs. 1660 as annual taxes and realises 10% on his
investment thereafter. The monthly rent of the house is?
(a) Rs. 5000 (b) Rs. 4920
(c) Rs. 2500 (d) Rs. 2460
(a) Rs. 5000 (b) Rs. 4920
(c) Rs. 2500 (d) Rs. 2460
52 In
a public school, 1/5th of girls and 1/4th of boys are under 12 years of age. If
the total strength of the school is 1000 and number of girls is 2/5th of the
total, what part of the total strength of the school is accounted for by those
which are 12 years or more of age ?
(a) 23% (b) 45%
(c) 55% (d) 77%
(a) 23% (b) 45%
(c) 55% (d) 77%
53 A
debtor can pay 87 paise in the rupee, but if his creditors would take 20% of
his debts, he could pay them and have Rs. 42 left. His debts and assets
respectively are?
Rs. 600, Rs. 522
Rs. 500 , Rs. 521
Rs. 400, Rs. 520
Rs. 1000, Rs. 525
Rs. 600, Rs. 522
Rs. 500 , Rs. 521
Rs. 400, Rs. 520
Rs. 1000, Rs. 525
54 300
grams of sugar solution has 40% sugar in it. How much sugar should be added to
make it 50% in the solution ?
(a) 10 gms (b) 40 gms
(c) 60 gms (d) 80 gms
(a) 10 gms (b) 40 gms
(c) 60 gms (d) 80 gms
55 The
price of an article is cut by 20%. To restore it to the former value, the new
price must be increased by?
(a) 20% (b) 25 %
(c) 16 (d) 24%
(a) 20% (b) 25 %
(c) 16 (d) 24%
56
In an examination, there are 3 papers of Mathematics of 100 marks each. A boy
secures 60% in the first paper and 70% in the second paper. In order to secure
70% in the aggregate the percentage of marks he should secure in third
paper will be?
(a) 90% (b) 80%
(c) 75% (d) 70%
(a) 90% (b) 80%
(c) 75% (d) 70%
57 5%
of income of A is equal to 15% of income of B and 10% of income of B is equal
to 20% of income of C. If income of C is Rs. 2000, then total income of A, B
& C is?
(a) Rs. 6000 (b) Rs. 18000
(c) Rs. 20000 (d) Rs. 14000
(a) Rs. 6000 (b) Rs. 18000
(c) Rs. 20000 (d) Rs. 14000
58 In
an examination, A got 10% marks less than B, B got 25% marks more than C and C
got 20% less than D. If A got 360 marks out of 500, the percentage of marks
obtained by D was?
(a) 70 (b) 75
(c) 80 (d) 85
(a) 70 (b) 75
(c) 80 (d) 85
59 In
an examination, 80% of the students passed in English, 85% in Mathematics and
75% in both English and Mathematics. If 40 students failed in both the
subjects, the total number of students is
(a) 200 (b) 400
(c) 600 (d) 800
(a) 200 (b) 400
(c) 600 (d) 800
60 In
an examination, 35% candidates failed in one subject and 42% failed in another
subject while 15% failed in both the subjects. If 2500 candidates appeared at
the examination, how many passed in either subject but not in both?
(a) 325 (b) 1175
(c) 2125 (d) None of these
(a) 325 (b) 1175
(c) 2125 (d) None of these
61 In
an election between two candidates, one got 55% of total valid votes. 20% of
the votes were invalid. If the total number of votes was 7500, the number of
valid votes that the other candidate got was
(a) 2700 (b) 2900
(c) 3000 (d) 3100
(a) 2700 (b) 2900
(c) 3000 (d) 3100
62 At
an election involving two candidates, 68 votes were declared invalid. The
winning candidate scores 52% and wins by 98 votes. The total number of votes
polled is ?
(a) 2518 (b) 2450
(c) 2382 (d) None of these
(a) 2518 (b) 2450
(c) 2382 (d) None of these
63 A’s
income is 25% more than B’s income. B income in terms of A’s income is?
(a) 75% (b) 80 %.
(c) 90% (d) 96%
(a) 75% (b) 80 %.
(c) 90% (d) 96%
64
Water tax is increased by 20% but its consumption is decreased by 20%. Then,
the increase or decrease in the expenditure of the money is
(a) No change (b) 5% decrease
(c) 4% increase (d) 4% decrease
(a) No change (b) 5% decrease
(c) 4% increase (d) 4% decrease
65 On
increasing the price of T.V. sets by 30%, their sale decreases by 20%. What is
the effect on the revenue receipts of the shop?
(a) 4% increase (b) 4% decrease
(c) 8% increase (d) 8% decrease
(a) 4% increase (b) 4% decrease
(c) 8% increase (d) 8% decrease
66 The
price of sugar increases by 20%. By what percent must a house wife reduce the
consumption of sugar, so that the expenditure on sugar is the same as before ?
(a) 16.66 (b) 20
(c) 80 (d) 83.33
(a) 16.66 (b) 20
(c) 80 (d) 83.33
67 The
price of sugar is increased by 20%. As a result, a family decreases its
consumption by 25%. The expenditure of the family on sugar will be decreased by
(a) 10% (b) 5%
(c) 14% (d) 15%
(a) 10% (b) 5%
(c) 14% (d) 15%
Answers (Math MCQs)
1

a

2

c

3

d

4

c

5

d

6

d

7

c

8

c

9

a

10

c

13

b

14

d

15

d

16

d

17

a

18

d

19

c

20

b

21

b

22

d

23

c

24

b

25

d

26

c

27

a

28

d

29

b

30

b

31

c

32

c

33

d

34

d

35

a

36

d

37

c

38

b

39

b

40

a

41

d

42

d

43

d

44

d

45

b

46

c

47

a

48

d

49

d

50

d

51

b

52

d

53

a

54

c

55

b

56

b

57

b

58

c

59

b

60

b

61

a

62

a

63

b

64

d

65

a

66

a

67

a
