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Mathematics-4 - Free MCQ Practice Test with solutions, CTET Mathematics


MCQ Practice Test & Solutions: CTET Practice Test: Mathematics-4 (20 Questions)

You can prepare effectively for CTET & State TET Mathematics & Pedagogy Paper 2 for CTET & TET Exams with this dedicated MCQ Practice Test (available with solutions) on the important topic of "CTET Practice Test: Mathematics-4". These 20 questions have been designed by the experts with the latest curriculum of CTET & State TET 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 20

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CTET Practice Test: Mathematics-4 - Question 1

A confectionery shopkeeper sells a soap at a discount of 20% and earns a profit of 60%. If he sells the same soap at 40% discount, then what will be his new profit percent? 

Detailed Solution: Question 1

CTET Practice Test: Mathematics-4 - Question 2

5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son? 

Detailed Solution: Question 2

CTET Practice Test: Mathematics-4 - Question 3

The cost price of 60 articles is same as the selling price of x articles. If there is a profit of 20%, then what is the value of x? 

Detailed Solution: Question 3

CTET Practice Test: Mathematics-4 - Question 4

A person scores 45% of the total marks in the exam and still fails by 40 marks. The passing percentage of the exam is 55%. What is of the maximum marks of the exam? 

Detailed Solution: Question 4

CTET Practice Test: Mathematics-4 - Question 5

Walking from home at 2/3rd of his usual speed, a man reaches his office 30 minutes late. Had the person walked at 5/4th of his usual speed, find the time taken by the man to reach his office. 

Detailed Solution: Question 5

If distance is constant then time taken in inversely proportional to the speed. When speed becomes two-third of the normal speed, time taken will be 3/2 times of his normal time. If the normal time to reach the office is T, then the man is taking T/2 time extra to reach the office. 
 
If the man walk at 5/4 th of the normal speed, time taken will be 4/5 th of the normal time 
 

CTET Practice Test: Mathematics-4 - Question 6

The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23: 7 respectively. What is rate of interest per annum (in %)? 

Detailed Solution: Question 6

CTET Practice Test: Mathematics-4 - Question 7

A, B and C can complete a piece of work in 9, 12 and 18 days respectively. They started working together, but A left the work before 4 days of its completion. B also left the work 2 days after A left. In how many days was the work completed? 

Detailed Solution: Question 7

CTET Practice Test: Mathematics-4 - Question 8

A dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If its marked price is Rs 1200, then the cost price of the article is 

Detailed Solution: Question 8

CTET Practice Test: Mathematics-4 - Question 9

In a school having roll strength 299, the ratio of boys and girls is 8 : 5. If 25 more girls get admitted into the school, the ratio of boys and girls becomes 

Detailed Solution: Question 9

CTET Practice Test: Mathematics-4 - Question 10

The average weight of A, B and C is 55 kg. If the average weight of A and B be 50 kg and that of B and C be 53 kg, then the weight of B is

Detailed Solution: Question 10

CTET Practice Test: Mathematics-4 - Question 11

For an article the profit is 160% of the cost price. If the cost price increases by 30% but the selling price remains same, then what is the new profit percentage? 

Detailed Solution: Question 11

CTET Practice Test: Mathematics-4 - Question 12

A’s salary is 25% more than that of B. Then B’s salary is less than that of A by 

Detailed Solution: Question 12

CTET Practice Test: Mathematics-4 - Question 13

A boatman rows 1 km in 5 minutes, along the stream and 6 km is 1 hour against the stream. The speed of the boat in still water.

Detailed Solution: Question 13

CTET Practice Test: Mathematics-4 - Question 14

A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to Rs 500 less than the sum lent. What was the sum lent? 

Detailed Solution: Question 14

CTET Practice Test: Mathematics-4 - Question 15

In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present? 

Detailed Solution: Question 15

CTET Practice Test: Mathematics-4 - Question 16

If a given work is done by some men in 15 days in such a way that on first day there only one man was working on second day another man joined him on the third day another joined and so on. Then in how many days 4 men will finish the work? 

Detailed Solution: Question 16

CTET Practice Test: Mathematics-4 - Question 17

The cost of manufacturing of an article depends upon four components P, Q, R, S. Cost ratio of P, Q, R, S is 4:5:6:7 respectively. If there is a respective change of 30%, -20%, -8.33% and +20% in the cost of four components then by how much percent it would affect the manufacturing cost of the article. 

Detailed Solution: Question 17

 

CTET Practice Test: Mathematics-4 - Question 18

A vessel is full of chocolate syrup. ¼ of the syrup is taken out of the vessel & replaced it with milk. This process is repeated 2 more times and in this process 74 ltr milk has been required. Find the total volume of solution? 

Detailed Solution: Question 18

CTET Practice Test: Mathematics-4 - Question 19

The average score of a cricketer in 8 innings is 44. He had scored 60, 24, x, 50, 73, y, z, 13 respectively in those innings. Find the average of x, y and z? 

Detailed Solution: Question 19

CTET Practice Test: Mathematics-4 - Question 20

What annual payment will discharge a debt of Rs. 6450 due in 4 years at 5% per annum simple interest? 

Detailed Solution: Question 20

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