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Solved Questions for Mathematics Pedagogy
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 Answered
 Review

Question 1 of 178
1. Question
1 pointsA boy can run 1km in 7 minutes and 10 seconds. The time he will take to run 400 m is
Correct
1 km = 1000 m; 1 minute = 60 sec.
Time to run 1000 m = 7 min 10 sec. = 430 seconds
= 2 min 52 sec.
Incorrect
1 km = 1000 m; 1 minute = 60 sec.
Time to run 1000 m = 7 min 10 sec. = 430 seconds
= 2 min 52 sec.

Question 2 of 178
2. Question
1 pointsIf 3 dozen pencils cost Rs. 370 then the cost of 21 dozen pencils will be
Correct
Cost of 3 dozen pencils = Rs. 370
= Rs. 2590
Incorrect
Cost of 3 dozen pencils = Rs. 370
= Rs. 2590

Question 3 of 178
3. Question
1 pointsm of cloth will be
Correct
Cost of km of cloth = Rs. 50
Cost of 1 m of cloth =
Cost of
Incorrect
Cost of km of cloth = Rs. 50
Cost of 1 m of cloth =
Cost of

Question 4 of 178
4. Question
1 pointsIf of the cargo is
Correct
Worth of of cargo = Rs. 1120
Total worth of cargo = Rs. = Rs. 8736
Worth of
Incorrect
Worth of of cargo = Rs. 1120
Total worth of cargo = Rs. = Rs. 8736
Worth of

Question 5 of 178
5. Question
1 pointsA truck needs 108 l of diesel to travel 594 km. The quantity of diesel needed to go a distance of 1650 km and come back is
Correct
Quantity of diesel to travel 594 km = 108 l
“1650 km and back means
quantity of diesel to travel 3300 km
=
Incorrect
Quantity of diesel to travel 594 km = 108 l
“1650 km and back means
quantity of diesel to travel 3300 km
=

Question 6 of 178
6. Question
1 pointsThe ratio 5 kg 100 g: 1 kg 300 g simplifies to
Correct
5 kg 100 g = 5100 gm 1kg 300 kg = 1300 gm
Required ratio = 5100 : 1300 or 51 : 13
Incorrect
5 kg 100 g = 5100 gm 1kg 300 kg = 1300 gm
Required ratio = 5100 : 1300 or 51 : 13

Question 7 of 178
7. Question
1 pointsThe ratio which of Rs. 21 is
Correct
= 4 : 2 : 12.6 or 1 : 3
Incorrect
= 4 : 2 : 12.6 or 1 : 3

Question 8 of 178
8. Question
1 pointsIf 10% of x is same as 20% of y then x : y is equal to
Correct
Incorrect

Question 9 of 178
9. Question
1 pointsThe ratio of 2 numbers is 1 : 5 and their product is 320, then the difference between the squares of these two numbers is
Correct
Let the numbers be x and 5x
Hence the numbers are 8 and 40
Incorrect
Let the numbers be x and 5x
Hence the numbers are 8 and 40

Question 10 of 178
10. Question
1 pointsA train covers a distance of 258 km in 3 hours whereas a bus covers a distance of 301 km in 7 hrs. The ratio of speed of bus to the speed of train is
Correct
Speed of train : Speed of bus
= = 86 : 43 = 2 : 1
Incorrect
Speed of train : Speed of bus
= = 86 : 43 = 2 : 1

Question 11 of 178
11. Question
1 pointsA shopkeeper had a profit of Rs. 12,000 in January, Rs. 22,000 in March and Rs. 16,000 in March. The ratio of profit in March to the total profit is
Correct
Total profit = Rs. (12,000 + 16,000) = Rs. 50,000
Profit in March : total profit = 16,000 : 50,000 = 8 : 25
Incorrect
Total profit = Rs. (12,000 + 16,000) = Rs. 50,000
Profit in March : total profit = 16,000 : 50,000 = 8 : 25

Question 12 of 178
12. Question
1 pointsIn a club 25 members are not adults; 30 members are adults but less than 30 years of age; and 20 members are above 30 years of age. The ratio of numbers of adults to the total number of members is
Correct
Total number of members = 25 + 30 + 20 = 75
Total number of adults = 30 + 20 = 50
Adults : total = 50 : 75 = 2 : 3
Incorrect
Total number of members = 25 + 30 + 20 = 75
Total number of adults = 30 + 20 = 50
Adults : total = 50 : 75 = 2 : 3

Question 13 of 178
13. Question
1 pointsThe ratio simplifies to
Correct
=
Incorrect
=

Question 14 of 178
14. Question
1 pointsIf x : y = 2 : 3 then value of 3x + 2y : 9x + 5y is
Correct
Put x = 2 and y = 3
Incorrect
Put x = 2 and y = 3

Question 15 of 178
15. Question
1 pointsIf x : y = 7 : 5 then the value of 6x + 7y : 12x + 5y is
Correct
Put x = 7 and y = 5
Incorrect
Put x = 7 and y = 5

Question 16 of 178
16. Question
1 points16 If A, B, C and D are quantities of same kind and A : B is 3 : 4, B : C is 5 : 7 and C : D is 8 : 9 then which of the following statements are correct
I. A : C is 15 : 28
II. B : D is 40 : 63
III. A : D is 10 : 21Correct
A : B = 15 : 20; B : C = 20 : 28
A : C = 15 : 28
Also B : C =
B : D = 40 : 56; C: D = 56 : 63
Also A : C =
A : C = 30 : 56; C : D = 56 : 63
A : D = 30 : 63 = 10 : 21
Hence all these statements I, II and III are correct.
Incorrect
A : B = 15 : 20; B : C = 20 : 28
A : C = 15 : 28
Also B : C =
B : D = 40 : 56; C: D = 56 : 63
Also A : C =
A : C = 30 : 56; C : D = 56 : 63
A : D = 30 : 63 = 10 : 21
Hence all these statements I, II and III are correct.

Question 17 of 178
17. Question
1 pointsIf A and B are positive numbers such that A > B then the correct statement out of the following is
Correct
For A : B if A > B and a > 0 then
A + a : B + a < A : B
Incorrect
For A : B if A > B and a > 0 then
A + a : B + a < A : B

Question 18 of 178
18. Question
1 pointsIf x and y are positive numbers such that x > y, then the correct statement out of the following is
Correct
For A : B if A > B and a > 0 then
A – a : B – a > A : B.
Incorrect
For A : B if A > B and a > 0 then
A – a : B – a > A : B.

Question 19 of 178
19. Question
1 pointsThe duplicate ratio of 25 : 9 is
Correct
Duplicate ratio of 25 : 9 = or 625 : 81.
Incorrect
Duplicate ratio of 25 : 9 = or 625 : 81.

Question 20 of 178
20. Question
1 points20 The triplicate ratio of 3 : 2 is
Correct
Triplicate ratio of 3 : 2 is or 27 : 8
Incorrect
Triplicate ratio of 3 : 2 is or 27 : 8

Question 21 of 178
21. Question
1 pointsThe subduplicate ratio of 225 : 169 is
Correct
Sub duplicate ratio of 225 : 169 is
=
Incorrect
Sub duplicate ratio of 225 : 169 is
=

Question 22 of 178
22. Question
1 pointsThe sub triplicate ratio of 1331 : 729 is
Correct
Sub triplicate ratio of 1331 : 729
=
Incorrect
Sub triplicate ratio of 1331 : 729
=

Question 23 of 178
23. Question
1 pointsTwo numbers are in ratio 3 : 4. If 8 is subtracted from each the ratio becomes 2 : 3.The smaller of the two number is
Correct
3x – 8 : 4x – 8 = 2 : 3 9x – 24 = 8x – 16 x = 8
Smaller number =
Incorrect
3x – 8 : 4x – 8 = 2 : 3 9x – 24 = 8x – 16 x = 8
Smaller number =

Question 24 of 178
24. Question
1 pointsTwo numbers are in ratio 1 : 2. If 4 is added to each the ratio becomes 2 : 3. The greater of the two numbers is
Correct
x + 4 : 2x + 4 = 2 : 3 3x + 12 = 4x + 8
x = 4
Greater number =
Incorrect
x + 4 : 2x + 4 = 2 : 3 3x + 12 = 4x + 8
x = 4
Greater number =

Question 25 of 178
25. Question
1 pointsThe number which hears the same ratio to 143 that 315 bears to 231 is
Correct
x : 143 = 315 : 231
X =
Incorrect
x : 143 = 315 : 231
X =

Question 26 of 178
26. Question
1 pointsIf 2x + 3y : 3x + 5y = 18 : 29, then x : y is equal to
Correct
29(2x + 3y) = 18(3x + 5y)
58x + 87y = 54x + 90y 4x = 3y
or x : y = 3 : 4
Incorrect
29(2x + 3y) = 18(3x + 5y)
58x + 87y = 54x + 90y 4x = 3y
or x : y = 3 : 4

Question 27 of 178
27. Question
1 pointsIf a : b where a ≠ b is the duplicate ratio of a + c : b + c, then
Correct
a : b =
Incorrect
a : b =

Question 28 of 178
28. Question
1 pointsThe number to be added to each of the numbers 6, 10, 14 and 22 to make them in proportion is
Correct
(6 + x) : (10 + x) = (14 + x) : (22 + x)
(6 + x) (22 + x) = (10 + x) (14 + x)
4x = 8
x = 2
Incorrect
(6 + x) : (10 + x) = (14 + x) : (22 + x)
(6 + x) (22 + x) = (10 + x) (14 + x)
4x = 8
x = 2

Question 29 of 178
29. Question
1 pointsMean proportional of two numbers is 24 and their third proportional is 1536. The sum of the numbers is
Correct
Let the two numbers be x and y
Also x : y = y : 1536
Sum = x + y = 96 + 6 = 102
Incorrect
Let the two numbers be x and y
Also x : y = y : 1536
Sum = x + y = 96 + 6 = 102

Question 30 of 178
30. Question
1 pointsThe fourth proportional of 8, 14 and 16 is
Correct
8 : 14 = 16 : X
X = 28
Incorrect
8 : 14 = 16 : X
X = 28

Question 31 of 178
31. Question
1 pointsIf , then value of x is
Correct
Applying
Solving x =
Incorrect
Applying
Solving x =

Question 32 of 178
32. Question
1 pointsA drum contains 20 l of paint. From this 2 litres of paint is drawn out and is replaced by 2 litres of oil. Again 2 litres of mixture is drawn out and is replaced by 2 litres of oil. If this operation is performed once again, then the final ratio of paint to oil in the drum will be
Correct
Paint : oil =
= 729 : 271
Incorrect
Paint : oil =
= 729 : 271

Question 33 of 178
33. Question
1 pointsTwo boys have certain number of mangoes. If half the mangoes from bag 1 are transferred to bag 2, the ratio in two bags gets reversed. Now onethird and twothird of the mangoes from the first and second bag are transferred to second bag and first bag respectively. The ratio of mangoes in bag 1 to bag 2 now is
Correct
Let bag 1 have x mangoes and bag 2 have y mangoes
Then
Also
Required ratio =
Incorrect
Let bag 1 have x mangoes and bag 2 have y mangoes
Then
Also
Required ratio =

Question 34 of 178
34. Question
1 pointsIn what proportion should water be mixed with milk so as to gain , selling it at cost price
Correct
Let CP of milk be Rs. 1
SP of milk is Rs. 1/l
Gain % =
CP of mixture = Rs.
Quantity of water : quality of milk = 1 : 6
Incorrect
Let CP of milk be Rs. 1
SP of milk is Rs. 1/l
Gain % =
CP of mixture = Rs.
Quantity of water : quality of milk = 1 : 6

Question 35 of 178
35. Question
1 pointsOne alloy contains 75% of gold, another contains 66% of gold. A new alloy is made of two parts of the first to three parts of the second. The percentage of gold in the mixture is nearly
Correct
% of gold =
= 69.9%
70%
Incorrect
% of gold =
= 69.9%
70%

Question 36 of 178
36. Question
1 pointsA man buys spirit Rs. 50 a liter and mixes it with water. By selling the mixture at Rs. 45 a liter he gains 12.5% on his outlay. How much water did each liter of the mixture contain?
Correct
SP of 1l of mixture = Rs. 45
Gain % = 12.5%
= Rs. 40 (we assume cost of water to be Rs. 0/l)
Quantity of spirit for Rs. 40 =
Hence quantity of water in each liter of mixture = 0.2 l or 200 ml
Incorrect
SP of 1l of mixture = Rs. 45
Gain % = 12.5%
= Rs. 40 (we assume cost of water to be Rs. 0/l)
Quantity of spirit for Rs. 40 =
Hence quantity of water in each liter of mixture = 0.2 l or 200 ml

Question 37 of 178
37. Question
1 pointsHow much water must be added to 14 kiloliters of milk worth Rs. 10.80/liter, so that value of the mixture may be Rs. 8.40 a liter?
Correct
Let us take cost of water = Rs. 0/l
Quantity of water =
= 4000 l
Or 4 kl
Incorrect
Let us take cost of water = Rs. 0/l
Quantity of water =
= 4000 l
Or 4 kl

Question 38 of 178
38. Question
1 pointsA mixture of 40 liters of milk and water contains 10% of water. How much water must be added to make the water 20% in the new mixtures
Correct
(Using Quicker Method2): Quantity of water to be added =
Incorrect
(Using Quicker Method2): Quantity of water to be added =

Question 39 of 178
39. Question
1 pointsIn what ratio must water be mixed with milk costing Rs. 12 per liter to obtain a mixture worth of Rs. 8 per liter?
Correct
Quantity of water : Quantity of milk = 1 : 2
Incorrect
Quantity of water : Quantity of milk = 1 : 2

Question 40 of 178
40. Question
1 points125 liter of a mixture of milk and water contains 20% water. How much pure milk must be added to it to make the water 10% of the new mixture?
Correct
Initial % of milk = 80%
Find % of milk = 90%
Quantity of milk to be added =
= 125 l
Incorrect
Initial % of milk = 80%
Find % of milk = 90%
Quantity of milk to be added =
= 125 l

Question 41 of 178
41. Question
1 pointsPipes A and B can fill a tank in 20 hours and 30 hours respectively. If both are opened together the tank will be full in
Correct
time = 12 hours
Incorrect
time = 12 hours

Question 42 of 178
42. Question
1 pointsPipes A and B can empty the tank in 6 hours and 4 hours respectively. If the tank is full and the pipes are opened; the tank will be emptied in
Correct
Time = 2.4 hrs or 2 hours 24 minutes
Incorrect
Time = 2.4 hrs or 2 hours 24 minutes

Question 43 of 178
43. Question
1 pointsPipes A, B and C can fill the tank in 12 min, 18 min. and 9 min. respectively. If all three pipes are operated simultaneously on an empty tank, the tank will be full in
Correct
time = 4 min.
Incorrect
time = 4 min.

Question 44 of 178
44. Question
1 pointsA tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already half full and both taps are opened together, the tank will be
Correct
of tank is emptied in 1 min.
of tank will be emptied in 8 min.
Incorrect
of tank is emptied in 1 min.
of tank will be emptied in 8 min.

Question 45 of 178
45. Question
1 pointsA cistern has two taps fill it in 12 min. and 15 min. respectively. There is also a waste pipe in the cistern. When all three pipes are opened, the empty cistern is filled in 20 minutes. The time needed by the waste pipe to empty the cistern is
Correct
x = 10
time = 10 min.
Incorrect
x = 10
time = 10 min.

Question 46 of 178
46. Question
1 pointsPipe A can fill a tank in 4 hours and pipe B in 6 hours. If pipes are operated one by one for one hour at a time starting with A, then the tank will be full in
Correct
of the tank is filled in every 2 hours
=
= 4.8 hous or 4 hours 48 minutes
Incorrect
of the tank is filled in every 2 hours
=
= 4.8 hous or 4 hours 48 minutes

Question 47 of 178
47. Question
1 points12 buckets of water fill a tank when capacity of each bucket is 13.5 litres. The number of buckets that will be needed if capacity of each bucket is 9 litres.
Correct
Vol of tank =
n = 18
18 buckets are needed.
Incorrect
Vol of tank =
n = 18
18 buckets are needed.

Question 48 of 178
48. Question
1 pointsDue to a leak a full tank gets emptied in 8 hours. A tap is turned on which admits 6 litres per minute. Now the tank is emptied in 12 hours. Volume of the cistern in litres is
Correct
Time = 24 hours =
= 1440 min.
Vol =
Incorrect
Time = 24 hours =
= 1440 min.
Vol =

Question 49 of 178
49. Question
1 pointsThe pair of adjacent angles in given figure is
Correct
Incorrect

Question 50 of 178
50. Question
1 pointsIf then measure of is
Correct
Incorrect

Question 51 of 178
51. Question
1 pointsIf then measure of is
Correct
Incorrect

Question 52 of 178
52. Question
1 pointsIf an angle is equal to its complementary angle then angle is
Correct
Incorrect

Question 53 of 178
53. Question
1 pointsIf supplementaryangles of an angle is then measure of the angle is
Correct
Let angle =
Then = 180
Incorrect
Let angle =
Then = 180

Question 54 of 178
54. Question
1 pointsRato of angles of a linear pair is 8 : 1 then measure of each angle is
Correct
Let angles be 8x and x
8x + x = 180
X =
Incorrect
Let angles be 8x and x
8x + x = 180
X =

Question 55 of 178
55. Question
1 pointsvalue of x in given figure is
Correct
6x + 7x + 5x =
X =
Incorrect
6x + 7x + 5x =
X =

Question 56 of 178
56. Question
1 pointsIf x = from given figure is
Correct
Z =
Incorrect
Z =

Question 57 of 178
57. Question
1 pointsValue of x + y in given figure is
Correct
Incorrect

Question 58 of 178
58. Question
1 pointsIf OP and OQ ar bisectors of
Correct
Incorrect

Question 59 of 178
59. Question
1 pointsIn given of figure if then value of x is
Correct
X =
Incorrect
X =

Question 60 of 178
60. Question
1 pointsIn given figure if p q and is
Correct
Incorrect

Question 61 of 178
61. Question
1 pointsIn given is p q and r s and is
Correct
Incorrect

Question 62 of 178
62. Question
1 pointsIn given ABCD, CDEF, is
Correct
Incorrect

Question 63 of 178
63. Question
1 pointsIn given figure ABCD, is
Correct
Incorrect

Question 64 of 178
64. Question
1 pointsIn given figure if then value of x is
Correct
y =
X =
Incorrect
y =
X =

Question 65 of 178
65. Question
1 pointsIn given figure is
Correct
Incorrect

Question 66 of 178
66. Question
1 pointsIf ratio of three angles of a triangle is 2 : 3 : 4 then measure of the angles is
Correct
Let angles be 2x, 3x and 4x then
2x + 3x + 4x =
9x = 180
X =
Incorrect
Let angles be 2x, 3x and 4x then
2x + 3x + 4x =
9x = 180
X =

Question 67 of 178
67. Question
1 pointsDiagonals of rectangle
Correct
Incorrect

Question 68 of 178
68. Question
1 pointsIn given figure if lm and is
Correct
Let
3x + 2x =
X =
Incorrect
Let
3x + 2x =
X =

Question 69 of 178
69. Question
1 pointsIn given figure OB and Oc are bisector of is
Correct
=
=
=
Incorrect
=
=
=

Question 70 of 178
70. Question
1 pointsIn given figure ABCD, then values of x and y is
Correct
x =
X + y =
Y =
Y =
Incorrect
x =
X + y =
Y =
Y =

Question 71 of 178
71. Question
1 pointsIn given figure if is
Correct
=
Incorrect
=

Question 72 of 178
72. Question
1 pointsThe complemenatary angle of angle is more than its thrice. The angle is
Correct
Let angle be
4x = 90 – 2 =
X =
Incorrect
Let angle be
4x = 90 – 2 =
X =

Question 73 of 178
73. Question
1 pointsRatio of an angle and its complementary angle is 2 : 3. The measure of each angle is
Correct
Let angles be
2x + 3x = 180
X = 36
Incorrect
Let angles be
2x + 3x = 180
X = 36

Question 74 of 178
74. Question
1 pointsIn given figure two lines AB and CD intersect at O. If is
Correct
=
Incorrect
=

Question 75 of 178
75. Question
1 pointsIf complementary angle is double of the angle then measure of angle is
Correct
Let angle be
X + 2x =
X =
Incorrect
Let angle be
X + 2x =
X =

Question 76 of 178
76. Question
1 pointsIn given figure is
Correct
=
Incorrect
=

Question 77 of 178
77. Question
1 pointsIn given figure is
Correct
2x + x =
X =
Incorrect
2x + x =
X =

Question 78 of 178
78. Question
1 pointsIn given figure is
Correct
= 180 
=
Incorrect
= 180 
=

Question 79 of 178
79. Question
1 pointsComplementary angle of the right angle is
Correct
Incorrect

Question 80 of 178
80. Question
1 pointsWhich side is the longest in given figure
Correct
Because angle opposite to BC is largest
Incorrect
Because angle opposite to BC is largest

Question 81 of 178
81. Question
1 pointsWhich angle is largest is given
Correct
Because side opposite to is the longest
Incorrect
Because side opposite to is the longest

Question 82 of 178
82. Question
1 pointsIn given figure, x + y
Correct
180  = y + 30
Incorrect
180  = y + 30

Question 83 of 178
83. Question
1 pointsIn given figure value of x + y + z is
Correct
180 – x + 180 + 180 – z =
X + y + z =
Incorrect
180 – x + 180 + 180 – z =
X + y + z =

Question 84 of 178
84. Question
1 pointsValue of x in given figure is
Correct
x = 55 + 30 + 50
=
Incorrect
x = 55 + 30 + 50
=

Question 85 of 178
85. Question
1 pointsIn given figure are then value of x is
Correct
= 110
X= (30 + 40) = 70
Incorrect
= 110
X= (30 + 40) = 70

Question 86 of 178
86. Question
1 pointsIn given then value of x is
Correct
Incorrect

Question 87 of 178
87. Question
1 pointsIn given figure if is
Correct
Incorrect

Question 88 of 178
88. Question
1 pointsIn given figure if l m then measure of is
Correct
x = 180 – 40 =
Incorrect
x = 180 – 40 =

Question 89 of 178
89. Question
1 pointsIn given figure if pq and then value of x is
Correct
=
X = 180 – 60 =
Incorrect
=
X = 180 – 60 =

Question 90 of 178
90. Question
1 pointsIn given figure PQ  RT, if is
Correct
=
Incorrect
=

Question 91 of 178
91. Question
1 pointsIn given figure if is
Correct
Incorrect

Question 92 of 178
92. Question
1 pointsIn given figure if p  q  r then measure of is
Correct
x =
X = 60 + 35
=
Incorrect
x =
X = 60 + 35
=

Question 93 of 178
93. Question
1 pointsIn given figure ABCD and ACEB the value of x + y is
Correct
X =
Y = 62
X + y = 60 + 62 =
Incorrect
X =
Y = 62
X + y = 60 + 62 =

Question 94 of 178
94. Question
1 pointsIn given figure if ABCDEF then value of x + y is
Correct
x = 180 – 38 =
Y =
X + y =
Incorrect
x = 180 – 38 =
Y =
X + y =

Question 95 of 178
95. Question
1 pointsIf lm then measure of x is
Correct
Incorrect

Question 96 of 178
96. Question
1 pointsIf pq then measure of y is
Correct
Incorrect

Question 97 of 178
97. Question
1 pointsIf lm and pq then measure of z is
Correct
Incorrect

Question 98 of 178
98. Question
1 pointsIf given figure then value of y is
Correct
Y – 90 + 50 = 180
Incorrect
Y – 90 + 50 = 180

Question 99 of 178
99. Question
1 pointsThe number of revolutions made by a bicycle wheel 56 cm in diameter in covering a distance of 1.1 km is
Correct
Number of revolutions =
Circumstance of wheel =
No. of revolutions =
Incorrect
Number of revolutions =
Circumstance of wheel =
No. of revolutions =

Question 100 of 178
100. Question
1 pointsThe area of a circular field is 13.86 hectare. The cost of fencing it @ Rs. 0.60/m is
Correct
A =
=
R = 210
Length of fence =
Cost =
Incorrect
A =
=
R = 210
Length of fence =
Cost =

Question 101 of 178
101. Question
1 pointsThe base of an isosceles triangle is 8 cm and its perimeter is 18 cm. The area of triangle is
Correct
a + a + 8 = 18
a = 5
DC =
is a right triangle. Hence
h = 3
Area of
=
Incorrect
a + a + 8 = 18
a = 5
DC =
is a right triangle. Hence
h = 3
Area of
=

Question 102 of 178
102. Question
1 pointsEach square of a chess board has an area of . Also the chess board has a margin of 3 cm around it. The side of the chess board is
Correct
Side of each square of chess board =
= 3 cm
Side of board =
Side of board =
= 24 + 6 = 30 cm
Incorrect
Side of each square of chess board =
= 3 cm
Side of board =
Side of board =
= 24 + 6 = 30 cm

Question 103 of 178
103. Question
1 pointsThe area of the quadratic of a circle whose circumference is 22 cm is
Correct
Area quadrant =
Incorrect
Area quadrant =

Question 104 of 178
104. Question
1 pointsIf AB = 12 cm and BC = 5 cm the area of the shaded portion is (use = 3.14)
Correct
BD =
Also BD is diameter
r = 6.5 cm
Required = Area of circle – area of rectangle
=
Incorrect
BD =
Also BD is diameter
r = 6.5 cm
Required = Area of circle – area of rectangle
=

Question 105 of 178
105. Question
1 pointsPQRS is diameter of a circle of radius 6 cm such that PQ = OR = RS. Semicircles are drawn on PQ and QS as diameter as shown in figure. Area of the shaded region is
Correct
Required area = area semicircle PS + area semicircle PQ – area semicircle QS
=
=
=
Incorrect
Required area = area semicircle PS + area semicircle PQ – area semicircle QS
=
=
=

Question 106 of 178
106. Question
1 pointsA rectangular field has area equal to and perimeter 50 m. Its length and breadth respectively must be
Correct
And 2(l + b) = 50 l + b = 25
Clearly l = 15, b = 10
Incorrect
And 2(l + b) = 50 l + b = 25
Clearly l = 15, b = 10

Question 107 of 178
107. Question
1 pointsA rectangular park is 46 m by 36 m. A path 2 m wide is built all around outside it. The cost of constructing these paths @ Rs. 50 per is
Correct
Area of path =
=
Cost = Rs.
= Rs. 17,200
Incorrect
Area of path =
=
Cost = Rs.
= Rs. 17,200

Question 108 of 178
108. Question
1 pointsThe length of hypotenuse of a right angled triangle is 5 cm and its area is 6 . The lengths of the remaining sides are
Correct
Use a + b =
Incorrect
Use a + b =

Question 109 of 178
109. Question
1 pointsThe perimeter of a triangle is 450 m and its sides are in the ratio 13 : 12 : 5. The area of the triangle is
Correct
13x + 12 x + 5x = 450
X = 15
A = 195
B = 180
C = 75
Area =
Incorrect
13x + 12 x + 5x = 450
X = 15
A = 195
B = 180
C = 75
Area =

Question 110 of 178
110. Question
1 pointsA circle has area which is 100 times the area of another circle. The ratio of their circumferences is
Correct
Incorrect

Question 111 of 178
111. Question
1 pointsFour equal circles of radius 7 cm touch each other as shown in figure. The area of the shaded part is
Correct
Join centres to obtain a square of side 14 cm.
Incorrect
Join centres to obtain a square of side 14 cm.

Question 112 of 178
112. Question
1 pointsThe number of square tiles of side 20 cm are required to pave a footpath 1 m wide around a rectangular plot is
Correct
Area of foot path =
Number of tiles =
Incorrect
Area of foot path =
Number of tiles =

Question 113 of 178
113. Question
1 pointsIf each side of a rectangle is increased by 50%, its area will increase by
Correct
Original area =
New area =
Increase % =
= 125%
Incorrect
Original area =
New area =
Increase % =
= 125%

Question 114 of 178
114. Question
1 pointsCircular disc of area is given. With its radius as diameter a circular disc of area is cut out of it. The area of the remaining disc is denoted by . Then
Correct
Incorrect

Question 115 of 178
115. Question
1 pointsA circular ground has a radius of 26 m. A 4 m wide road runs on the outside around it. The area of the road is (use = 3.14)
Correct
Area of road = 3.14
= 3.14 (30 + 26) (30 – 26)
= 703.36
Incorrect
Area of road = 3.14
= 3.14 (30 + 26) (30 – 26)
= 703.36

Question 116 of 178
116. Question
1 pointsDiagonals of a rhombus are in the ratio 3 : 4 and its area is 2400 . Side of the rhombus is
Correct
Use : side =
Incorrect
Use : side =

Question 117 of 178
117. Question
1 pointsAC is a diameter of circle with centre O. If BD at O and OA = 7 cm. Area of shaded region is
Correct
Required area = Area of smaller circle +
=
=
Incorrect
Required area = Area of smaller circle +
=
=

Question 118 of 178
118. Question
1 pointsO is the centre of bigger circle and AC its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, find area of shaded region.
Correct
AC = 54 cm; BC = 10 cm
AB = (54 – 10) cm = 44 cm
Radius of larger circle = 27 cm
Radius of smaller circle = 22 cm
Required area =
=
Incorrect
AC = 54 cm; BC = 10 cm
AB = (54 – 10) cm = 44 cm
Radius of larger circle = 27 cm
Radius of smaller circle = 22 cm
Required area =
=

Question 119 of 178
119. Question
1 pointsTwo card boards pieces in form of equilateral triangles having a side of 3 cm each are symmetrically glued to form a regular star as shown in the figure. The area of the star is
Correct
Area of star =
is an equilateral triangle with each side equal to 1 cm.
Incorrect
Area of star =
is an equilateral triangle with each side equal to 1 cm.

Question 120 of 178
120. Question
1 pointsABC is an equilateral . The area of the inscribed circle is
Correct
side = 12 cm
SemiPerimeter =
Use r =
Incorrect
side = 12 cm
SemiPerimeter =
Use r =

Question 121 of 178
121. Question
1 pointsThe length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the longer diagonal?
Correct
Let the length of the longer diagonal be L.
Length of shorter diagonal = 80% of L =
Area of rhombus =
Incorrect
Let the length of the longer diagonal be L.
Length of shorter diagonal = 80% of L =
Area of rhombus =

Question 122 of 178
122. Question
1 pointsOABC is a rhombus whose vertices A, B and C lie on a circle with centre at O. If radius of circle is 10 cm then area of the rhombus
Correct
OA = OB = OC = AB = BC = 10 cm
Clearly are both equilateral and also congruent.
Then area Rhombus =
=
Incorrect
OA = OB = OC = AB = BC = 10 cm
Clearly are both equilateral and also congruent.
Then area Rhombus =
=

Question 123 of 178
123. Question
1 pointsis an equilateral triangle with area . With each vertex as centre a circle is described with radius equal to half the length of the said of the triangle. [Use ] The area of the shaded part is
Correct
Side = 200 m
Radius of each circle = 100 m
Shaded area = area of  3(area of any sector).
Incorrect
Side = 200 m
Radius of each circle = 100 m
Shaded area = area of  3(area of any sector).

Question 124 of 178
124. Question
1 pointsIf both radius and heights of a cone are increased by 50%, then the volume of the cone will increase by
Correct
Volume increasing by
Incorrect
Volume increasing by

Question 125 of 178
125. Question
1 pointsIf both the height and the radius of the cone are doubled, then the ratio of volume of the bigger cone to that of the smaller cone will be
Correct
Incorrect

Question 126 of 178
126. Question
1 pointsA cylindrical tub of radius 12 cm contains water to the height of 20 cm. A spherical iron ball is dropped into the tub. The ball gets completely immersed and the level of water is raised by 6.75 cm. The radius of the ball is
Correct
Radius of ball : r = ?; Radius of tube : R = 12 cm
H = 6.75 cm
Volume of ball = Volume of cylinder ABCD
r= 9 cm
Incorrect
Radius of ball : r = ?; Radius of tube : R = 12 cm
H = 6.75 cm
Volume of ball = Volume of cylinder ABCD
r= 9 cm

Question 127 of 178
127. Question
1 pointsDiameter of a roller 60 m long is 42 cm. If it takes 700 complete revolutions to level a pay ground, the cost of leveling the play ground @ 45 p per square m is nearly
Correct
h = 42 cm; r = 30 cm, n = 700
Area leveled =
=
=
Cost = Rs.
Incorrect
h = 42 cm; r = 30 cm, n = 700
Area leveled =
=
=
Cost = Rs.

Question 128 of 178
128. Question
1 points2 cubes of each of side 12 cm are joined end to end. Volume of the resulting cuboid is
Correct
L = 24 cm, B = 12 cm, H = 12 cmV =
Incorrect
L = 24 cm, B = 12 cm, H = 12 cmV =

Question 129 of 178
129. Question
1 pointsA circus tent is cylindrical up to a height of 5 m and conical above it. If its diameter is 105 m and slant height of the conical portion is 53 m. The area of the canvas used to build the tent is
Correct
r = m; l = 53 m
H = 3 m
Area of canvas= C.S.A. cone + C.S.A. of cylindrical
=
=
=
=
Incorrect
r = m; l = 53 m
H = 3 m
Area of canvas= C.S.A. cone + C.S.A. of cylindrical
=
=
=
=

Question 130 of 178
130. Question
1 pointsA solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 19 cm and diameter of the cylinder is 7 cm. The S.A. of the solid is
Correct
r =
H + 2r = 19 cm
h = 12 cm
Surface area ==
=
=
Incorrect
r =
H + 2r = 19 cm
h = 12 cm
Surface area ==
=
=

Question 131 of 178
131. Question
1 pointsThe radius of a sphere is increased by 100%, then the increase in surface area of the sphere will be
Correct
Increase in area = 300%
Incorrect
Increase in area = 300%

Question 132 of 178
132. Question
1 pointsDiameter of a cooper sphere is 6 cm. The sphere is melted and drawn into a wire of uniform circular cross section which is 72 cm long. The diameter of the wire is nearly
Correct
Volume of wire (cylinder) = Volume of sphere
=
Incorrect
Volume of wire (cylinder) = Volume of sphere
=

Question 133 of 178
133. Question
1 pointsThree cubes of edges 12 cm, 16 cm and 20 cm are melted and a new cube is made. The side of the new cube is
Correct
Side of new cube =24 cm
Incorrect
Side of new cube =24 cm

Question 134 of 178
134. Question
1 pointsThe cost of white washing the four walls of a room is Rs. 100. The cost of white washing a room twice in length and breadth but one fourth in height is
Correct
required cost = Rs. 50
Incorrect
required cost = Rs. 50

Question 135 of 178
135. Question
1 pointsThe volume of a cylinder is and its height is 28 cm. Its curved surface area is
Correct
C.S.A. =
Incorrect
C.S.A. =

Question 136 of 178
136. Question
1 pointsA hemispherical bowl is made of steel 12.1 cm thick. The inside radius of the bowl is 5 cm. The volume of steel used in making the bowl is nearly
Correct
r = 5 cm
R = (5 + 2.1) cm = 7.1
Volume of material =
=
Incorrect
r = 5 cm
R = (5 + 2.1) cm = 7.1
Volume of material =
=

Question 137 of 178
137. Question
1 pointsA spherical balloon was deflated till its radius was halved. If its volume becomes n times its original volume then value of n is
Correct
Incorrect

Question 138 of 178
138. Question
1 pointsThree cubes of edges 12 cm, 16 cm and 20 cm are melted and a new cube is made. The diagonal of the new cube is
Correct
Side of new cube = 24 cm
Incorrect
Side of new cube = 24 cm

Question 139 of 178
139. Question
1 pointsA rectangular sheet of area and length 8 cm is rolled along its breadth to make a hollow cylinder. The volume of this cylinder is
Correct
Circumference of cylinder = 88 cm
Also h = 8
=
Incorrect
Circumference of cylinder = 88 cm
Also h = 8
=

Question 140 of 178
140. Question
1 pointsCurved surface area of a cone whose volume is and the diameter of base is 42 cm, is
Correct
r =
L =
C.S.A. =
=
Incorrect
r =
L =
C.S.A. =
=

Question 141 of 178
141. Question
1 pointsIf each side of a cube is tripped then its volume increases by
Correct
Increse in vol = = 27 1 = 26
increase % = 2600%
Incorrect
Increse in vol = = 27 1 = 26
increase % = 2600%

Question 142 of 178
142. Question
1 pointsA spherical ball was melted and made into smaller balls of half the radius of the original. The ratio of the sum total of the surface of all the smaller balls to that of the original ball is
Correct
Number of small balls =
=
Or 2 : 1
Incorrect
Number of small balls =
=
Or 2 : 1

Question 143 of 178
143. Question
1 pointsA cooper sphere of diameter 6 cm is drawn into a wire of diameter 0.4 cm. The length of the wire is
Correct
Volume wire (cyl) =Vol. of sphere
Incorrect
Volume wire (cyl) =Vol. of sphere

Question 144 of 178
144. Question
1 pointsRadii of two cylinder are in ratio 4 : 3 and their heights are in ratio 3 : 4. Ratio of their volumes is
Correct
Incorrect

Question 145 of 178
145. Question
1 pointsThe curved surface area of a cylinder is and its volume is . The height of the cylinder is
Correct
Incorrect

Question 146 of 178
146. Question
1 pointsThe circumference of edge of a hemispherical bowl is 132 cm. Its capacity is
Correct
Volume =
=
Incorrect
Volume =
=

Question 147 of 178
147. Question
1 pointsThe radii of two right circular cylinder are in ratio 2 : 3 and their heights are in ratio 5 : 4. The ratio of their curved surface areas is
Correct
Incorrect

Question 148 of 178
148. Question
1 pointsA vessel is in form of a hemispherical bowl mounted by a hollow cylinder. The diameter of the base of the hemispherical bowl is 6 cm and the total height of the vessel is 11 cm. The capacity of the vessel is (Use = 3.14)
Correct
r = 3 cm
H = (11 – 3) cm = 8 cm
Capacity of vessel =
=
=
=
=
Incorrect
r = 3 cm
H = (11 – 3) cm = 8 cm
Capacity of vessel =
=
=
=
=

Question 149 of 178
149. Question
1 pointsWhich one of the following groups has different class interval from other.
Correct
Width of interval is different.
Incorrect
Width of interval is different.

Question 150 of 178
150. Question
1 pointsThe formula for finding mean is
Correct
Incorrect

Question 151 of 178
151. Question
1 pointsMarks obtained by a student in 5 subjects in his exams are given below:
25, 26, 27, 28, 29 In these obtained marks 27 isCorrect
27 is median as it is appearing in middle of data and
Mean =
Incorrect
27 is median as it is appearing in middle of data and
Mean =

Question 152 of 178
152. Question
1 pointsWhich of the following is correct?
Correct
Incorrect

Question 153 of 178
153. Question
1 pointsWhat will be the mode of the following data?
[su_table]
Monthly income Frequency 2300 13 1800 15 1900 21 2100 8 2500 17 [/su_table]
Correct
1900, because its frequency is the highest
Incorrect
1900, because its frequency is the highest

Question 154 of 178
154. Question
1 pointsThe mean of the following data
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 isCorrect
Mean =
=
Incorrect
Mean =
=

Question 155 of 178
155. Question
1 pointsThe mean of first 8 odd numbers is
Correct
Incorrect

Question 156 of 178
156. Question
1 pointsGeometric mean of 2, 6, 24, 72 is
Correct
G.M. =
=
=
Incorrect
G.M. =
=
=

Question 157 of 178
157. Question
1 pointsThe median of the following data is
2, 4, 8, 10, 12, 14Correct
As data is written in ascending order
So median = observation
= 4th observation = 8
Incorrect
As data is written in ascending order
So median = observation
= 4th observation = 8

Question 158 of 178
158. Question
1 pointsThe mode of the following data is
[su_table]
Marks Frequency 13 2 17 6 21 13 12 15 19 9 [/su_table]
Correct
Incorrect

Question 159 of 178
159. Question
1 pointsThe mean of the following data is
[su_table]
Numbers Frequency 4 7 8 9 12 11 16 13 [/su_table]
Correct
Mean =
=
=
Incorrect
Mean =
=
=

Question 160 of 178
160. Question
1 pointsWhich class interval has minimum frequency in following histogram?
Correct
4050 is lowest frequency interval
Incorrect
4050 is lowest frequency interval

Question 161 of 178
161. Question
1 pointsIn figureI, What is the cumulative frequency of interval 4050%?
Correct
Cummulative frequency = 10 + 30 + 20 + 10 + 50 = 120
Incorrect
Cummulative frequency = 10 + 30 + 20 + 10 + 50 = 120

Question 162 of 178
162. Question
1 pointsFind the sum of the frequencies of the interval 3040 and 6070?
Correct
Sum = 10 + 30 = 40
Incorrect
Sum = 10 + 30 = 40

Question 163 of 178
163. Question
1 pointsWhich class interval has minimum frequency?
Correct
Incorrect

Question 164 of 178
164. Question
1 pointsRelation between mean, median and mode is
Correct
Refer theory of lesson
Incorrect
Refer theory of lesson

Question 165 of 178
165. Question
1 pointsWhat is the range of following data 12, 16, 17, 23, 29, 13, 2, 5, 19?
Correct
Lowest data = 2
Highest data = 29
Range = 29 – 2 = 27
Incorrect
Lowest data = 2
Highest data = 29
Range = 29 – 2 = 27

Question 166 of 178
166. Question
1 pointsCalculate x if the arithematic mean of following data is zero
[su_table]
Numbers Frequency x + 3 3 x  7 7 x  4 11 [/su_table]
Correct
Mean =
=
=
= x – 4
Incorrect
Mean =
=
=
= x – 4

Question 167 of 178
167. Question
1 pointsIn the graph, how much more man earn on Thursday than Monday
Correct
Earning on Thursday – Earning on Monday = 300 – 150 = 150 Rs.
Incorrect
Earning on Thursday – Earning on Monday = 300 – 150 = 150 Rs.

Question 168 of 178
168. Question
1 pointsFind the number of tree planted during 1995 and 1996 year in the graph shown below:
Correct
Trees planted in 1995 and 1996 = 250 + 100 = 350
Incorrect
Trees planted in 1995 and 1996 = 250 + 100 = 350

Question 169 of 178
169. Question
1 pointsIn the above graph which year has lowest trees planted?
Correct
1996 has lowest trees planted in the following options.
Incorrect
1996 has lowest trees planted in the following options.

Question 170 of 178
170. Question
1 pointsIn the above graph which year has maximum trees planted?
Correct
1992 has maximum planted in the following options.
Incorrect
1992 has maximum planted in the following options.

Question 171 of 178
171. Question
1 pointsHow many more pens have A and C than D and E in following graph?
Correct
A and C have pens = 10 + 8 =18
D and E have pens = 12 + 2 = 14
Difference = 4
Incorrect
A and C have pens = 10 + 8 =18
D and E have pens = 12 + 2 = 14
Difference = 4

Question 172 of 178
172. Question
1 pointsForm the graph, find how many students per school are there in the maximum number of school. Also find the number of such school.
Correct
120 schools have maximum 1600 students per school.
Incorrect
120 schools have maximum 1600 students per school.

Question 173 of 178
173. Question
1 pointsAverage number of students in a school in the above graph is
Correct
Average No. of students per school =
=
=Incorrect
Average No. of students per school =
=
= 
Question 174 of 178
174. Question
1 pointsFrom the following graph in which subject Ram got maximum marks:
Correct
Incorrect

Question 175 of 178
175. Question
1 pointsIn which subject Ram got maximum marks:
Correct
Incorrect

Question 176 of 178
176. Question
1 pointsIn the above graph average marks of Ram is
Correct
Incorrect

Question 177 of 178
177. Question
1 pointsProfit of company in 2006 will be how much times the profit in 2002 in the following graph.
Correct
Profit in 2006 = 30 crore
Profit in 2002 = 15 crore
So it is two times.
Incorrect
Profit in 2006 = 30 crore
Profit in 2002 = 15 crore
So it is two times.

Question 178 of 178
178. Question
1 pointsIn which year school produces best result.
Correct
Incorrect
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