mathematics MCQs – Page 63

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

3101. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
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A. 48.55 kg

B. 48 kg

C. 49.25 kg

D. 47.55 kg

3102. If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is___________?
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A. 30

B. 90

C. 70

D. 40
3103. In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
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A. Rs.5400

B. Rs.5000

C. Rs.4600

D. Rs.2300

3104. The speed of a boat in still water is 5 km/hr, it can go 30km upstream and return downstream to the original point in 4 hours 30 min. The speed of the stream is_______?
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A. 10 km/hr

B. 8 km/hr

C. 5km/hr

D. 15 km/hr

3105. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is__________________?
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A. 23

B. 21

C. 20

D. 22

3106. The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
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A. 23

B. 21

C. 24

D. 22

3107. The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
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A. 275

B. 550

C. 250

D. 400

3108. The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathematics and Chemistry together.
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A. Data inadequate

B. 30

C. 25

D. 40
3109. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is___________?
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A. 17 kg

B. 31 kg

C. 26 kg

D. 20 kg

3110. A and B together can complete a work in 1.2 days,. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work ?
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A. 11 days

B. 15 days

C. 10 days

D. 20 days

3111. The average of the two-digit numbers, which remain the same when the digits interchange their positions, is__________?
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A. 55

B. 44

C. 33

D. 66

3112. Find the average of all the numbers between 6 and 34 which are divisible by 5.
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A. 20

B. 18

C. 30

D. 24

3113. The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
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A. 2500

B. 4500

C. 5000

D. 3000

3114. Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
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A. 56 years

B. 58 years

C. 55 years

D. Data inadequate
3115. A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
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A. Rs.250

B. Rs.150

C. None

D. Rs.225

3116. A man can row three-quarters of a kilometre against the stream in 11 minutes and down the stream in 7 minutes. The speed (in km/hr) of the man in still water is:_________?
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A. 2

B. 3

C. 5

D. 4

3117. The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
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A. 3 years

B. 1 year

C. 2 years

D. 4 years
3118. The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is____________?
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A. 15 years

B. 15 2/7 years

C. 14 years

D. 11 years
3119. The average age of a husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is___________?
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A. 40 years

B. 30 years

C. 35 years

D. None of these

3120. A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately. If A begins first, in how many days the work will be completed ?
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A. 41/4 days

B. 42/4 days

C. None of these

D. 55 days

3121. P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
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A. 9

B. 13

C. 23

D. 11

3122. A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
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A. 3 kmph

B. 6.5 kmph

C. 13 kmph

D. 1.5 kmph
3123. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in___________?
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A. 8 days

B. 15 days

C. 12 days

D. 10 days

3124. The speed of a motor boat is that of the current of water as 36:5. The boat goes along with the current in 5 hours 10 min, it will come back in_______?
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A. 12 hours 10 min

B. 6 hours

C. 5 hours 50 min

D. 6 hours 50 min
3125. A pupils marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is___________?
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A. 10

B. 73

C. 20

D. 40
3126. In an examination a pupils average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
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A. 10

B. 9

C. 8

D. 11
3127. P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?
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A. 8

B. 18

C. 19

D. 10

3128. A boat is rowed downstream at 15.5km/hr and upstream at 8.5 km/hr. The speed of the stream is________?
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A. 5.75km/hr

B. 6.5km/hr

C. 7km/hr

D. 3.5km/hr
3129. The average marks in mathematics scored by the students of a school at the public examination were 39. If four of these students who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of students sent up for examination from the school?
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A. 30

B. 25

C. 20

D. 32

3130. What is the diameter of a wheel that makes 113 revolution to go 2km 26 decametre?
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A. 4 4/13 m

B. 12 4/11m

C. 12 8/11m

D. 6 4/11m
3131. The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than the length. The perimeter of the field is_________?
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A. 360m

B. None of these

C. 260m

D. 280m

3132. If the circumference of a circle is 352 meters then its area in Sq.m is:________?
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A. 6589

B. 8956

C. 5986

D. 9856
3133. If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
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A. 15

B. 12

C. 10

D. 14

3134. The side of a square is increased by 25% then how much % does its area increases?
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A. 52.65

B. 50.75

C. 42.75

D. 56.25
3135. If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is_________?
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A. 12.62 sq.cm

B. 15.12 sq.cm

C. 13.52 sq.cm

D. 10 sq.cm

3136. Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
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A. 120 sq m

B. 150 sq m

C. 110 sq m

D. 300 sq m

3137. The diameter of a circle is 105 cm less than the circumference what is the diameter of the circle?
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A. 48 cm

B. 49 cm

C. 46 cm

D. 44 cm

3138. The length of a rectangular increased by 10% and it;s breadth is decreased by 10 %. Then the area of the new rectangle is_________?
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A. Increased by 1%

B. Neither increased nor decreased

C. Decreased by 10%

D. Decreased by 1%
3139. A cuboidal water tank contains 216 liters is water. Its depth is 1/3 of its length and breadth is of 1/3 of the difference between length and depth. The length of the tank?
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A. 72dm

B. 18dm

C. 2dm

D. 6dm

3140. The length of a hall is (4/3) times its breadth. If the area of the hall be 300 square meters the difference between the length and breadth is__________?
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A. 4m

B. None of these

C. 3m

D. 15m

3141. The perimeter of a semi circle is 144 cm then the radius is_________?
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A. 30 cm

B. 35 cm

C. 28 cm

D. 25 cm

3142. The number of rounds that a wheel of diameter 7/11 m will make in going 4 km is:_________?
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A. 2000

B. 1500

C. 1700

D. 1000

3143. A rectangle has 15 cm as its length and 159 cm<sup>2
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A. 60 cm

B. 80 cm

C. 70 cm

D. 50 cm

3144. parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long then its area is:__________?
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A. 450?15

B. 320 sq.m

C. 480 sq.m

D. 600?15 sq.m
3145. A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
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A. Rs.3600

B. Rs.3900

C. Rs.3800

D. Rs.3700

3146. In a rhombus whose area is 144 sq.cm on of its diagonals is twice as long as the other. The lengths of its diagonals are:_________?
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A. 12cm,24cm

B. 24 cm,48cm

C. 6cm,12cm

D. 6?2cm,12?2cm

3147. A path of uniform width turns the inside of a rectangular field 38m long and 32m wide. IF the path occupies 600 m<sup>2
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A. 3m

B. 5m

C. 10m

D. 8.75m

3148. The length of a rectangular plot is 4 times that of its breadth. IF the area of the plot is 200 square meters, then what is its length?
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A. 30m

B. 25m

C. None of these

D. 44m

3149. Find the area of circle whose radius is 7m?
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A. 124 sq m

B. 167 sq m

C. 145 sq m

D. 154 sq m
3150. The radius of a semi circle is 6.3 cm then its perimeter is?
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A. 32.4 cm

B. 35.4 cm

C. 32 cm

D. 30 cm