mathematics MCQs – Page 62

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 Review each marked answer and report any item that may be outdated or unclear.

3051. A boat running downstream covers 24 kms in 4 hours while for covering the same distance upstream it takes 6 hours whats the speed of the boat in still water?
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A. 3.5km/hr

B. Data Inadequate

C. 6 km/hr

D. 5.5 km/hr

E. None of these
3052. Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively. Simultaneously both the pipes are opened together, then after how much time Q should be closed so that the tank is full in 9 min ?
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A. 3 min

B. 4 min

C. 5 min

D. 2 min

3053. The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
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A. None

B. 56 kg

C. 55 kg

D. 62 kg

3054. The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
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A. 840

B. 1020

C. 960

D. 1540

3055. A and B can do a piece of work in 21 and 24 days respectively.They start the work together and after some days, A leaves and B completes the rest of the task in 9 days. After how many days did A leave?
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A. 7

B. 6

C. 8

D. 5

3056. What are Prime Numbers?
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A. Which can be divided by Even Numbers

B. Which can be divided by any Number

C. Which can be divided by Number 1 & by itself Number

D. Which can be divided by Odd Numbers

3057. The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
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A. 70

B. 4

C. 76

D. 2

3058. The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally?
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A. 5

B. 4

C. 6

D. 7

3059. A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
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A. Rs. 380

B. Rs. 420

C. Rs. 600

D. Rs. 400
3060. A boat goes 24 km downstream in 10 hours, it takes 2 hours more to cover the same distance against the stream. What is the speed of the boat in still water?
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A. 4 km/hr

B. None of these

C. 4.2 km/hr

D. 2km/hr

E. 2.8 km/hr

3061. Sarfaraz obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
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A. 69

B. 72

C. None of these

D. 65

3062. A boat takes half time in moving a certain distance downstream than upstream. What is the ratio between the rate in still water and rate of current?
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A. 3 : 1

B. 1:02

C. 1:03

D. 2:01

3063. A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
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A. 3

B. 4

C. Insufficient data

D. 4 (1/2)

3064. A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is________?
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A. 20 kmph

B. 22 kmph

C. 5 kmph

D. 10 kmph

3065. The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ .
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A. 151

B. 153

C. 149

D. 152

3066. If two pipes function together, the cistern will be filled in 6 hrs. One pipe fills the cistern 5 hrs. faster than the other. How many hours it take the second pipe to fill the cistern?
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A. 15 hrs

B. 5 hrs

C. 10 hrs

D. 20 hrs

3067. The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
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A. 79

B. 37

C. 72

D. 45

3068. A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
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A. 632

B. 656

C. 625

D. 665
3069. A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
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A. 60, 60

B. 40, 80

C. 70, 50

D. 50, 70

3070. Find the average of the series : 312, 162, 132, 142 and 122?
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A. 186

B. 162

C. 174

D. 194

3071. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
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A. 24 years

B. 23 years

C. None of these

D. 25 years

3072. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is____________?
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A. Rs. 4050

B. Rs. 3500

C. Rs. 5000

D. Rs. 4000
3073. P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of them are working together.
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A. 2

B. 5

C. 4

D. 3 3?7
3074. A can do a certain job in 12 days. B is 60% more efficient than A. The number of days it takes for B to do the same piece of work, is:_________?
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A. 34 days

B. 12/6 days

C. 15/2 days

D. 23 days

3075. The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?
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A. 15 years

B. 18 years

C. 17 years

D. 19 years
3076. A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish, then out of a total wages of Rs.75. A will get:___________?
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A. 45 Rs.

B. 40 Rs.

C. 35 Rs.

D. None of these

3077. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is__________?
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A. 30

B. 25

C. 35

D. 27

3078. A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days. In how many days will A alone finish the job?
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A. 45

B. 48

C. 44

D. 34(2/7)

3079. A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is_____________?
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A. 52 runs

B. 48 runs

C. 55 runs

D. 60 runs

3080. The average age of M boys is b years and of n girls c years. The average age of all together is_________?
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A. (mb + nc)/ (m n) years

B. (mb nc)/ (m n) years

C. (mb + nc)/ (m + n) years

D. (mb nc)/ (m + n) years

3081. Two pipes can fill a tank in 10 hrs. and 12 hrs. respectively while a third pipe empties the full tank in 20 hrs. If all the three pipes operate together , in how much time the tank will be filled ?
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A. 5 hrs

B. None of these

C. 7 hrs

D. 7.5 hrs
3082. A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is________?
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A. 5 km/h

B. 2 (1/2) km/h

C. 7 km/h

D. 3 km/h

3083. A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
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A. 8 kmph

B. 4 kmph

C. 2 kmph

D. 16 kmph

3084. The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
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A. 36 years

B. 24 years

C. 30 years

D. 18 years

3085. The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
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A. 180

B. 170

C. 190

D. 175

3086. A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
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A. 12, 6

B. 15, 3

C. 14, 4

D. 13, 3

3087. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
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A. 40 minutes

B. 1 hr 15 min

C. 1 hour

D. 1 hr 30 min

3088. A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
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A. 19

B. 17

C. 18

D. 29

3089. The average of non-zero number and its square is 5 times the number. The number is__________?
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A. 9

B. 29

C. 295

D. 17

3090. The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?
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A. 8

B. 2

C. Cannot be determined

D. 5

3091. The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
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A. 28

B. 31

C. 29

D. 30

3092. The average monthly salary of 20 employees in an organisation is Rs. 1500. If the managers salary is added, then the average salary increases by Rs. 100. What is the managers monthly salary?
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A. Rs. 3600

B. Rs. 2400

C. Rs. 4800

D. Rs. 2000

3093. The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were________?
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A. 6

B. 12

C. 8

D. 16

3094. The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
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A. 15 seconds

B. None of these

C. 20 seconds

D. 10 seconds

E. 12 seconds
3095. Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
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A. 2:01

B. 4:01

C. 3:02

D. 5 : 1
3096. The average of five results is 46 and that of the first four is 45. The fifth result is__________?
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A. 50

B. 1

C. 10

D. 12.5

3097. If X and Y complete a certain work in 10 days, Y and Z in 16 days and X and Z in 22 days, find the time required for each one to complete the work while working separately.
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A. 30, 40, 60 days

B. 120, 40, 60 days

C. 120, 60, 80 days

D. 40, 30, 120 days

3098. A and B together take 6 days to complete a task. B and C together take 12 days to complete the same task. A and C together take 8 days to complete it. If A, B and C are working together, how long does it take for them to complete the task?
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A. 5(1/3) days

B. 1(1/3) days

C. 4(2/3) days

D. 4 days

3099. The average of first 10 even numbers is___________?
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A. 11

B. 22

C. 18

D. 9

3100. A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
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A. 28 km

B. 25 km

C. 32 km

D. None of these

E. 24 km