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Problems Based On Arithmetic CTET MCQ for Students
An amount placed at 5% simple interest annually becomes ₹2600 after 6 years. What was the original principal?
a. ₹1800
b. ₹1500
c. ₹2000
d. ₹2200
Option c – ₹2000
A student was given the following 12 numbers to calculate the average: 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14, and x. He found the average to be 12. What is the value of x?
a. 3
b. 7
c. 17
d. 31
Option b – 7
Find the total of 16% of 24.2 and 10% of 2.42
a. 4.114
b. 41.14
c. 411.4
d. 0.4114
Option a – 4.114
The mean of seven back-to-back numbers is 20. What is the largest number in the group?
a. 20
b. 22
c. 23
d. 24
Option c – 23
The total marks scored in four subjects is 200. If the average marks for three subjects is 48, how many marks were scored in the fourth subject?
a. 50
b. 144
c. 152
d. 56
Option d – 56
A cycle was sold for ₹935 at a 10% profit. What was the cost price?
a. ₹945
b. ₹850
c. ₹925
d. ₹1085
Option b – ₹850
Person X sells an item worth ₹100 to person Y at a 10% loss. Y then sells it to person Z, gaining 10%. What price did Z pay?
a. ₹100
b. ₹99
c. ₹110
d. ₹101
Option b – ₹99
Mohan bought a car for ₹2,50,000 and sold it for ₹3,48,000. What was the profit percentage?
a. 40
b. 39.2
c. 38.4
d. 38
Option b – 39.2
A person took a loan with 15% yearly interest and paid ₹7250 after 3 years. What was the original loan amount?
a. ₹5000
b. ₹4500
c. ₹6500
d. ₹5500
Option a – ₹5000
A car goes from point A to B in 3 hours at 42 km/h, then travels 128 km from B to C at 64 km/h. The total travel time is 5 hours. What is the car’s average speed from A to C?
a. 55 km/h
b. 22 km/h
c. 50.8 km/h
d. 53 km/h
Option c – 50.8 km/h
The average marks of 8 students is 51, and of 9 others is 68. What is the average of all 17 students combined?
a. 59
b. 59.5
c. 60
d. 60.5
Option c – 60
If 51% of a number is 714, what is 25% of the same number?
a. 350
b. 450
c. 550
d. 250
Option a – 350
An item was sold for ₹1690, resulting in a 30% profit. What was the original cost price?
a. ₹507
b. ₹630
c. ₹1300
d. ₹130
Option c – ₹1300
How much money should be invested at 4% simple annual interest for 6 months to earn ₹150 as interest?
a. ₹5000
b. ₹7500
c. ₹10000
d. ₹15000
Option b – ₹7500
A man takes 4 hours to row 18 km downstream and 12 hours to return upstream. What is the stream’s speed in km/h?
a. 1
b. 1.5
c. 2
d. 1.75
Option b – 1.5
A motorboat has a speed of 36 km/h in still water. It takes 1 hour 45 minutes to go 56 km upstream. How long will it take to return the same distance downstream?
a. 2 h 25 min
b. 3 h
c. 1 h 24 min
d. 2 h 21 min
Option c – 1 h 24 min
At what annual compound interest rate will ₹3000 grow to ₹3993 in 3 years?
a. 9%
b. 10%
c. 11%
d. 13%
Option b – 10%
Two boats start from the same point at the same time in the same direction. One moves at 20 km/h and the other at 23 km/h. What is the distance between them after 3.5 hours?
a. 11.5 km
b. 10 km
c. 10.5 km
d. 11 km
Option c – 10.5 km
When fresh fish is dried, its weight becomes one-third. Sunita buys 1500 kg of fresh fish at ₹25/kg and sells the dried fish at ₹80/kg. What is her profit?
a. ₹3500
b. ₹2500
c. ₹2700
d. ₹3000
Option b – ₹2500
An express train departs Ahmedabad at 13:30 on 30th August and arrives at Trivandrum at 7:30 on 1st September. The distance is 2268 km. What was the average speed of the train?
a. 54 m/s
b. 42 m/s
c. 15 m/s
d. 9 m/s
Option c – 15 m/s
Juhi cycled 16 km at 15 km/h, rode a scooter 20 km at 50 km/h, and drove a car 50 km at 60 km/h. How much total time (in minutes) did she take?
a. 144
b. 138
c. 88
d. 114
Option b – 138
Savi purchased 2709 kg of fresh fish at ₹27 per kg. When dried, the weight became one-third, and she sold it at ₹97.5 per kg. What is her total profit?
a. ₹14899.5
b. ₹15874.5
c. ₹14709.5
d. ₹14789.5
Option a – ₹14899.5
The average of three numbers is 7, and the average of the first two is 4. What is the third number?
a. 15
b. 13
c. 7
d. 4
Option b – 13
How far does a car travel in 20 minutes at a speed of 92.4 km/h?
a. 18480 m
b. 30800 m
c. 15400 m
d. 92400 m
Option b – 30800 m
Geeta walks to school at a constant speed of 5 km/h and takes 42 minutes. What is the distance from her home to school?
a. 3 km
b. 3.25 km
c. 3.50 km
d. 4 km
Option c – 3.50 km
A person buys a book for ₹85 and sells it for ₹98.60. What is the percentage profit?
a. 8%
b. 12%
c. 16%
d. 18%
Option c – 16%
Ram sells 144 pens and incurs a loss equal to the cost of 6 pens. What is his loss percentage?
a. 2
b. 6
c. 14
d. 4
Option d – 4
A man goes a certain distance at 12 km/h and returns at 9 km/h. The total time for the journey is 2 hours 20 minutes. What is the distance?
a. 18 km
b. 14 km
c. 13 km
d. 12 km
Option d – 12 km
A train that is 800 m long runs at 78 km/h. If it takes 1 minute to pass through a tunnel, how long is the tunnel?
a. 77200
b. 500
c. 1300
d. 13
Option b – 500
A train travels at 132 km/h and is 110 m long. How much time will it take to cross a platform that is 165 m long?
a. 5 s
b. 7.5 s
c. 10 s
d. 15 s
Option b – 7.5 s
An elevator descends into a mine shaft at 6 m/min. If it starts from 10 m above ground, how long will it take to reach 350 m depth?
a. 45 min
b. 1 h 30 min
c. 1 h
d. 1 h 15 min
Option c – 1 h
What will be the interest on ₹500 at 8% per annum for 6 months?
a. ₹20
b. ₹30
c. ₹48
d. ₹40
Option d – ₹40
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