Math Concepts and Problems for Class 10

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Questions and Answers

What is the new number added if the average of 25 numbers is 90 and increases to 95 after adding the new number?

300

240

280 (correct)

220

What percent of the total patients admitted in all three hospitals in May does the total patients admitted in A in March represent?

30%

15%

20% (correct)

25%

What is the difference between the total male patients admitted in A in April and in B in March together and the total patients admitted in C in May?

1419

1469 (correct)

1369

1459

If total male patients admitted in C in June are 20% more than those admitted in March, how many female patients were admitted in C in June?

1100 Signup and view all the answers

What is the ratio of total patients admitted in A in April to patients admitted in all three hospitals in May?

28:73 Signup and view all the answers

How does the total patients admitted in A in May compare percentwise to the total patients admitted in B & C in April?

65% Signup and view all the answers

Identify the wrong number in the series: 27, 48, 80, 134, 221, 355, 538.

355 Signup and view all the answers

Which number is incorrect in the series: 215, 200, 250, 175, 275, 150, 300?

300 Signup and view all the answers

What is the value of the question mark (?) in the equation 60% of 700 - 450 = ? - 85% of 120?

64 Signup and view all the answers

What is the value of the question mark (?) in the equation 36% of 250 + 26 + 2 * ? = 207?

8 Signup and view all the answers

What will come in the place of the question mark (?) in the equation 240 x 2.5 + 65 x 2/13 = ?² - √225?

24 Signup and view all the answers

How many days will it take to complete the work if A works alone for four days before B joins?

12 days Signup and view all the answers

What is the value of the question mark (?) in the equation 4080 ÷ (? + 17) = 102 + 2?

23 Signup and view all the answers

After how many months did Q join P in the business if their profit share became equal after one year?

4 months Signup and view all the answers

What will be the value of the question mark (?) in the equation 945 ÷ 35 x 20 = ?

560 Signup and view all the answers

What will come in the place of the question mark (?) in the equation (132 + 72) ÷ 12 x 17 = ? + 9²?

287 Signup and view all the answers

What is the cost price of the article if the marked price is Rs. 800, with a discount of 10% and a profit of 20%?

Rs. 640 Signup and view all the answers

What is the value of the question mark (?) in the equation 5 * 30 ÷ √144 x 20 = ?

208 Signup and view all the answers

How many total students are there in the school if 360 students passed and 66.66% of boys who passed equals 160?

720 Signup and view all the answers

What will come in the place of the question mark (?) in the equation 0.26 x 50 + 132 = ?

180 Signup and view all the answers

What is the largest of three consecutive numbers whose squares sum up to 1085?

20 Signup and view all the answers

What is the speed of the stream if the boat's speed in still water is 12 km/h and the time taken downstream equals the time taken upstream?

4 km/h Signup and view all the answers

What is the present age of A if it is 14 years more than B and their age ratio was 2:1 twelve years ago?

32 years Signup and view all the answers

What is the value of the second discount percentage x if the selling price after two discounts is Rs. 1470?

24% Signup and view all the answers

Study Notes

Question 31

A can complete a task in 24 days.
B can complete the same task in 18 days.
A starts working alone for 4 days.
B joins A after 4 days.
Total time to complete task: 12 days.

Question 32

P invests Rs. 21000.
Q joins the business after a few months with Rs. 28000.
Profit share of P and Q is equal at the end of one year.
Q joined the business after 4 months.

Question 33

Marked price of an item: Rs. 800.
Discount given: 10%.
Shopkeeper gains 20%.
Cost price of the item: Rs. 720.

Question 34

Total students who passed the exam: 360.
60% of total boys passed.
40% of total girls passed.
66 2/3% of passed boys = 160
Total students in the school: 960.

Question 35

Sum of squares of three consecutive numbers: 1085.
Largest number: 21.

Question 36

Ria, Ram, and Pooja got a total of 74 marks.
Ratio of Ria's marks to Pooja's marks: 4:5.
Ratio of Pooja's marks to Ram's marks: 3:2.
Total marks scored by Ram: 20.

Question 37

Speed of boat in still water: 12 km/hour.
Time taken to cover 20 km downstream = time taken to cover 10 km upstream.
Speed of the stream: 4 km/hour.

Question 38

Present age of A is 14 years more than B.
12 years ago, ratio of A's age to B's age was 2:1.
Present age of A: 32 years.

Question 39

Marked price of an article: Rs. 2450.
Successive discounts of 20% and x%.
Selling price of the article: Rs. 1470.
Value of x: 15%.

Question 40

A and B invested equal amounts.
A invested at 12% p.a.
B invested at 18% p.a.
Difference in interests received by A and B: Rs. 1440.
Total amount invested by A and B together: Rs. 9600.

Question 41

Average of 25 numbers: 90.
Average increases by 5 after adding a new number.
New number: 300.

Question 42

Total patients admitted in A in March: 1505.
Total patients admitted in all three hospitals in May: 2864 + 2228 + 2408 = 7480
Percentage of total patients admitted in A in March: 20%.

Question 43

th of total patients admitted in B in March are female: 1/4.
60% of total patients admitted in A in April are female.
Difference = (Total male patients admitted in A in April + Total male patients admitted in B in March) - (Total patients admitted in C in May)

Question 44

956 of total patients admitted in C in March are female.
Total male patients admitted in C in June are 20% more than total male patients admitted in C in March.
Total patients admitted in June in C is 872 more than total patients admitted in B in May
Total female patients admitted in C in June: 1300.

Question 45

Ratio of (Total patients admitted in A in April) and (Total patients admitted in all hospitals in May): 14:37.

Question 46

Total patients admitted in A in May: 2864
Total patients admitted in B & C in April: 1976+2228+2804 = 6918
Percentage: 41%.

Question 47

Wrong number in the series 27, 48, 80, 134, 221, 355, 538 : 355,

Question 48

Wrong number in the series 215, 200, 250, 175, 275, 150, 300 : 150

Question 49

Wrong number in the series 550, 4400, 110, 440, 24, 44, 4.4 : 4400

Question 50

Wrong number in the series 146, 145, 149, 122, 138, 15, 49 : 15

Question 51

Wrong number in the series 1.7, 3.0, 5.6, 9.5, 14.7, 21.8, 29 : 29

Question 52

Calculation to fill in question mark in √256 25% of 256 +
× 8 = ? + 10 . Answer:64 4

Question 53

Calculation to fill in question mark in 274-141= ? +98 . Answer:31

Question 54

Calculation to fill in question mark in 36% of 250 +26+2×?=207 . Answer:8

Question 55

Calculation to fill in question mark in 2^240 x 2.5 + 65 = ?^2 - √225 . Answer: 27

Question 56

Calculation to fill in question mark in 4080÷(?+17)=102+2 . Answer:23

Question 57

Calculation to fill in question mark in 31.5 × 3.5 × 12 – 8 = ?^2 . Answer:35

Question 58

Calculation to fill in question mark in 945 ÷ 35 x 20 = ? . Answer:540

Question 59

Calculation to fill in question mark in 60% of 700-450-85% of 120 = ? . Answer:64

Question 60

Calculation to fill in question mark in 30 ÷ 5/12 + √144 x 20 = ? . Answer: 380

Question 61

Calculation to fill in question mark in 4/1 2 16 = (27 + 45/35 + 3) /21= ? . Answer: 5

Question 62

Calculation to fill in question mark in (0.9)^2 x 10 +2.9 = ? + 132/12 . Answer :2

Question 63

Calculation to fill in question mark in 26 % of 50 ×5 ÷ 26 = ? . Answer: 2.5

Question 64

Calculation to fill in question mark in (132+72) ÷12 x 17 = ? + 92 . Answer: 168

Question 65

Calculation to fill in question mark in 0.26 x 50 + 132 = ?. Answer: 182

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Description

Test your knowledge of various mathematics concepts including time and work, profit-sharing, discounts, ratios, and algebraic equations. This quiz is designed for Class 10 students and covers problem-solving techniques related to real-life situations. Challenge yourself with a variety of questions that will enhance your mathematical skills.