NTSE Mathematics Commercial Mathematics MCQs Set A

Question: A can do a piece of work in 10 days which B alone can do in 12 days. In how many days can both do it working together ?

• a) 11 days
• b) 15 days
• c) Days
• d) 8 days

Answer: Days

Question: A, B and C can complete a work, working alone in 10, 15 and 20 days respectively. If all of them work together to complete the work, what fraction of the work would have done by B ?

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A and B can do a job in 12 days; B and C can do it is 16 days. After A has worked for 5 days and B has worked for 7 days, C can finish the rest in 13 days. In how many days can C do the work alone ?

• a) 16 days
• b) 24 days
• c) 36 days
• d) 48 days

Answer: 24 days

Question: A is thrice as efficient as B, and B is twice as efficient as C. If A, B and C work together, how long will they. Take to complete a job which B completed in 10 days ?

• a)

  

• b)

  

• c) 3 days
• d) None of these

Answer:

Question: A is thrice as good workman as B, and takes 60 days less than B to complete a job. Find the time is which they can do it together.

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Five man take as mush time to do a job as 10 women take. If 6 men take 10 days to complete a job working 4 hrs per day, how much time would 10 women take to do a job twice as much as the former the same working 6 hrs a day ?

• a) 12 day
• b) 14 days
• c) 16 days
• d) 18 days

Answer: 16 days

Question: Taps A and B fill a tank in 12 min and 15 min respectively. If both are opened and A is closed after 3 min, how long will it take for B to fill the tank ?

• a) 7 min 45 s
• b) 7 min 15 s
• c) 8 min 5 s
• d) 8 min 15 s

Answer: 8 min 15 s

Question: Because of leak, a tank which usually is filled in 3 hrs, now takes 3.5 hrs to be filled. The leak alone will empty the filled tank in

• a) 18 hrs
• b) 21 hrs
• c) 15 hrs
• d) Cannot be determine

Answer: 21 hrs

Question: A can do a job in 10 days and B is 20 days. They work together, but 4 days before the finish of the job, B leaves. Find the total days to finish the job ?

• a) 6
• b) 8
• c) 12
• d) 14

Answer: 8

Question: A man rows 13 km upstream and 28 km downstream in 5 hers each. Find the velocity of the stream.

• a) 2 kmph
• b) 1.5 kmph
• c) 2.5 kmph
• d) 3 kmph

Answer: 1.5 kmph

More Questions........................

Question: A dog at point A goes is pursuit of a fox 40 m away. The dog takes leap of 2 against 1 m long leaps of the fox. If the dog makes two leaps to the fox’s three, at what distance from A will the dog catch up with the fox ?

• a) 150 m
• b) 160 m
• c) 105 m
• d) 120 m

Answer: 160 m

Question: A leak in the bottom of a tank can empty it is 6 hr. A pipe fills the tank at 4 L/min. When the tank is full, the inlet is opened, but due to the leak the tank is emptied in 8 hr. What is the capacity of the tank ?

• a) 5,260 L
• b) 5,760 L
• c) 5,846 L
• d) 6,970 L

Answer: 5,760 L

Question: A, B can C are moving on a circular track A who is the only one moving in anticlockwise direction and moves at a speed twice that of B and trice that of C, takes 10s to cover the entire track. If all the three start simultaneously, when would they meet for the second time after the start ?

• a) 120 s
• b) 240 s
• c) 300 s
• d) None of these

Answer: 120 s

Question: The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.

• a) 60 degrees
• b) 120 degrees
• c) 45 degrees
• d) 50 degrees

Answer: 50 degrees

Question: Directions : A 12 dial clock has its minute had defective. Whenever it touches dial 12, it immediately falls down to 6 instead of running smoothly (the hour hand remains unaffected during that fall). It was set right at 12 ‘O’ clock in the noon. QUES: What was the actual time when the minute hand of the clock touched dial 9 for the 5th time ?

• a) 2 : 15
• b) 3 : 00
• c) 5 : 15
• d) 6 : 45

Answer: 2 : 15

Question: Directions : A 12 dial clock has its minute had defective. Whenever it touches dial 12, it immediately falls down to 6 instead of running smoothly (the hour hand remains unaffected during that fall). It was set right at 12 ‘O’ clock in the noon. QUES: If the actual time is 10 : 10, what is the position of the hour hand is that defective clock ?

• a) Between 2 and 3
• b) Between 4 and 5
• c) Between 10 and 11
• d) Between 3 and 4

Answer: Between 10 and 11

Question: Two trains start at the same time from Hyderabad and Delhi and proceed towards each other at 80 km/hr and 95 km/hr respectively. When the trains meet, it is found the one has traveled 180 km more that the other. Find the distance between Delhi and Hyderabad.

• a) 210 km
• b) 2,100 km
• c) 2,010 km
• d) 2,000 km

Answer: 2,100 km

Question: It takes 12 hrs for a bus to cover the distance between the cities, X and Y. A bus leaves X for Y at 6 p.m. and another bus leaves Y for X at 8 p.m. At what time will the two buses meet ? (Assume both travel with same speed).

• a) 1 a.m.
• b) 2 a.m.
• c) 4 a.m.
• d) 6 a.m.

Answer: 1 a.m.

Question: A motorcyclist travels from A to B at the rate of 20 km/hr and returns from B to A at the rate of 40 km/hr. If the distance between A and B is 60 km, what is the average speed for the entire trip.

• a)

  

• b)

  

• c) 30 km/hr
• d) 60 km/hr

Answer:

Question: Two trains can run at a speed of 54 km/hr and 36 km/hr on a parallel tracks. When they are running in opposite directions, they pass each other is 10 s. When they move in the same direction, a person sitting in the faster train crosses the other train in 30 s. Find the length of the trains (faster and slower respectively).

• a) 100 m and 150 m
• b) 150 m and 100 m
• c) 150 each
• d) 100 m each

Answer: 100 m and 150 m

Question: A man takes 5 hr and 45 min to walk down and return by riding to a certain place. He would have gained 2 hr by riding both ways/ The time he would take to walk both ways is

• a) 3 hr 45 min
• b) 7 hr 30 min
• c) 7 hr 45 min
• d) 1 hr 45 min

Answer: 7 hr 45 min

Question: 24 men can complete a given job in 40 days. Then how many men required to complete the job in 32 days is

• a) 30
• b) 32
• c) 33
• d) 34

Answer: 30

Question: A railway passenger counts the telegraph posts on the line as he passes them while traveling; If the poles are 50 m apart and the train is going at the speed on 48 km/hr. How many posts will be passed by the train per minute ?

• a) 15
• b) 16
• c) 18
• d) 20

Answer: 16

Question: A their robs a house at 12 midnight, and as soon as he leaves the house, the house owner realises of the robbery in the house. After 10 minutes he rings the alert alarm, and the security guards of the house start running after the thief to catch him. If the speed of the thief is 30 km/hr and that of the security guards is 20 km/hr, what time will the guards catch the thief ?

• a) 00.30 hrs
• b) 00.40 hrs
• c) Cannot be determined
• d) Never catch the thief

Answer: Never catch the thief

Question: A their escaped from police custody. Since he was sprinter he could clock 40 km/hr. The police realized it after 3 hr. and started chasing his in the same direction at 50 km/hr. The police had a dog which could run at 60 km/hr. The dog could run to the thief and then return to the police and then would turn back towards the thief. It kept on doing so till the police caught the thief/ Find the total distance traveled by the dog in the direction of the thief.

• a) 720 km
• b) 600 km
• c) 660 km
• d) 360 km

Answer: 660 km

Question: Vijay and Shivku start simultaneously from the opposite ends of a pool which is 50 m long. They pass each other, reach the respective end, and immediately turn back. Now they meet at a distance of 15 m from where vijay started, 10 s after the start. Find the speed of shivku.

• a) 6.5 m/s
• b) 7.5 m/s
• c) 8.5 m/s
• d) 5 m/s

Answer: 6.5 m/s

Question: Pallavi and Richa start Simultaneously from P and Q towards Q and P respectively. They meet on the way at T. Which is at a distance of 120 m from p. If Pallavi and Richa take 16 s and 25 s to reach their respective destinations from T, then what is the distance between P and Q.

• a) 214 m
• b) 200 m
• c) 240 m
• d) 216 m

Answer: 216 m

Question: A can beat B by 20 m in a 200 race. B can beat C by 10 m race. By how many meters can A beat C in a 100 m race ?

• a) 14 m
• b) 12 m
• c) 13.6 m
• d) 14.8 m

Answer: 13.6 m

Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is :

• a) 35.55 km/hr
• b) 36 km/hr
• c) 71.11 km/hr
• d) 71 km/hr

Answer: 71.11 km/hr

Question: A can do a piece of work in 7 days of 9 hr each, and B can do it in 6 days of 7 hr each. How long will they take to do it working together 42/5 hr a day ?

• a) 3 days
• b) 4 days
• c) 4.5 days
• d) None

Answer: 3 days

Question: A works twice as fast a B. If B can complete a work in 12 days independently, then the number of days in which A and B and together finish the work is :

• a) 4 days
• b) 6 days
• c) 8 days
• d) 18 days

Answer: 4 days

Question: A can do a job in 3 days, and B can do the same job in 6 days. How long will it take them if they work together ?

• a) 1 days
• b) 2 day
• c) 3 day
• d) 4 day

Answer: 2 day

Question: If x men consume x kg of food in x days, then ‘y’ men will consume y kg of off din

• a) y days
• b) x days
• c) x/ y days
• d) y / x days

Answer: x days

Question: A can do a piece of work in 24 days. If B is 60% more efficient than A, then the number of days required by B to do the twice as large as the earlier work is -

• a) 24
• b) 36
• c) 15
• d) 30

Answer: 30

Question: A takes 10 days less than the time taken by B to finish a piece of work. If both A both B together can finish the work in 12 days, the time taken by B to finish the work is :

• a) 20 days
• b) 30 days
• c) 40 days
• d) 50 days

Answer: 30 days

Question: In a camp of 100 students, there is ration which lasts for 8 days. After the first 2 days, 50 more students join them. How long will the ration last now ? (Assume all the students have equal eating capacity).

• a) 4 days
• b) 6 days
• c) 8 days
• d) None

Answer: 4 days

Question: Two cars A and B having average speeds of 30 and 40 miles/hr respectively are 280 miles apart. They start moving toward each other at 3.00 P.M. At what time will they meet ?

• a) 5 P.M.
• b) 6 P.M.
• c) 7 P.M.
• d) 8 P.M.

Answer: 7 P.M.

Question: 30% of 28% of 480 is the same as

• a) 15% of 56% of 240
• b) 60% of 28% of 240
• c) 60% of 56% of 240
• d) None of these

Answer: 60% of 28% of 240

Question: A man is traveling by car at the rate of 40 km/hr. After every 80 km, he rests for 20 min. How long will he take to cover a distance of 240 km ?

• a) 6 hr 40 min
• b) 6 hr
• c) 6 hr 20 min
• d) 7 hr

Answer: 6 hr 40 min

Question: A train, 700 meters long is running at the speed of 72 km/hour. If it crosses a tunnel in 1 minute, then the length of the tunnel is (in meters).

• a) 700
• b) 600
• c) 550
• d) 500

Answer: 500

Question: A watch is sold for Rs. Y at 10% loss. Cost price of the watch is :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The population of a village in the year 2000 was 10,000. In the year 20012 & 2002 percentage increase in population was 5% & 10% respectively. The population of village in the year 2002 will be :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Khaki Board gave a discount of 20% on occasion of Gandhi Jayanti . It also give a extra discount of 15% to schools. If a teacher purchase a carpet marked at Rs. 1500 in the name of school then how much extra benefit he will get :

• a) Rs. 300
• b) Rs. 225
• c) Rs. 525
• d) Rs. 180

Answer: Rs. 180

Question: A started a business by investing Rs. 8000. After x months B joined be business invested Rs. 12,000. If the profit earned is equal by both at the end of the year then find the value of x :

• a) 3 months
• b) 4 months
• c) 6 months
• d) 8 months

Answer: 4 months

Question: If a selling price of Rs. 24 result in a 20% discount of the list price, the selling price that would result in a 30% discount of the list price is

• a) Rs. 9
• b) Rs. 27
• c) Rs. 14
• d) Rs. 21

Answer: Rs. 21

Question: Sheila purchases 20 kg apples at Rs. 15/kg and another 10 kg apples at Rs. 20/kg. What is the average cost per kilogram ?

• a) Rs. 15.33/kg.
• b) Rs. 27
• c) Rs.14
• d) Rs. 21

Answer: Rs. 27

Question: If an amount is kept at S.I. It earns and interest of Rs. 600 is first two years but when kept at C.I.m it earns an interest of Rs. 660 in the same period. The rate of interest will be

• a) 10%
• b) 20 %
• c) 30%
• d) None of these

Answer: 20 %

Question: p,q and r are three positive numbers and

If (Q-p) : (Q-r) = 2 : 5 : 7, then find the ratio of p,q and r ?

• a) 9 : 7 : 12
• b) 12 : 9 : 7
• c) 12 : 7 : 9
• d) 7: 9 : 12

Answer: 12 : 9 : 7

Question: Four years ago father’s age was 6 times that of his son. Twelve years from now, father’s age will be twice that of the son. What is the present ratio of father and son’s ages ?

• a) 6 : 1
• b) 7 : 1
• c) 8 : 2
• d) 7 : 2

Answer: 7 : 2

Question: X’s salary is half that of Y’s. If X got a 50% rise in this salary and Y got 25% rise in his salary, then the percentage increase in combined salaries of both is

• a) 30%
• b)

  

• c)

  

• d) 75%

Answer:

Question: On selling an article for Rs. 240, trader losses 4%. In order to gain 10% he must sell that article for -

• a) Rs. 264.00
• b) Rs.273.00
• c) Rs. 275.00
• d) Rs. 280.00

Answer: Rs. 275.00

Question: At compounds interest, if a certain sum of money doubles in ‘n’ number of years, then the amount will be four fold in

• a) 2n2 years              
• b) n2 years                            
• c) 4n years
• d) 2n years

Answer: 2n years

Question: Ratio of the earning of A and B is 4 : 7. If earning of A increase by 50% and those of B decrease by 25% the new ratio of their earnings becomes 8 : 7. What are A’s earnings ?

• a) Rs. 21,000
• b) Rs. 26,000
• c) Rs. 28,000
• d) Data inadequate

Answer: Data inadequate

Question: if a sum becomes 

of itself in 5 years then the rate of interest is -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: a, b, c are three positive integers 2s = a + b + c. If (s-a) : (s-b) : (s-c) = 1 : 7 : 4, then the ratio a : b : C is equal to =

• a) 8 : 10 : 6
• b) 11 : 5 : 8
• c) 9 : 4 : 12
• d) 7 : 8 :9

Answer: 11 : 5 : 8

Question: A person sold two almirah for Rs. 1980 each fetching equal amount. On one almirah he gained 10% while on the other he lost 10% In the bargain he

• a) Gained 2%
• b) Loss 1%
• c) Gained 10%
• d) Neither gained nor lost

Answer: Loss 1%

Question: A sum of money invested at compound interest amounts Rs. 10,890 in two years and Rs. 11,979 in three years. The sum invested is-

• a) Rs. 9500
• b) Rs. 9000
• c) Rs. 9700
• d) Rs. 10,000

Answer: Rs. 9000

Question: A dairyman pays Rs. 6.40 per liter of milk. He adds water and sells the mixture at Rs. 8 per liter, thereby making 37.5% profit. The proportion of water to milk received by the customers is :

• a) 1 : 10
• b) 1 : 12
• c) 1 : 15
• d) 1 : 20

Answer: 1 : 10

Question: The population of a city increases at the rate of 4% per annum, but there is an additional annual increase of 1% in the population due to the flux of job seekers. The percentage increase of the population after 2 years is -

• a) 10%
• b) 10.25%
• c) 10.5%
• d) 10.75%

Answer: 10.25%

Question: Aditya obtains a loan of Rs. 64,000 against his fixed deposit. If the rate of interest is 2.5 paise per rupee per annum, calculate the compound interest payable after 3 years.

• a) Rs. 4,129
• b) Rs. 4,921
• c) Rs. 4,921
• d) Rs. 5,119

Answer: Rs. 4,921