Mathematics Advanced 3

Q1: The product of two numbers is 1296 and their HCF is 18. Find their LCM.

72 108 180 216

Q2: Anil and Biren can do a work in 10 and 15 days respectively. They start together, but Anil leaves after 4 days. Find total time to complete the work.

7 days 8 days 9 days 10 days

Q3: The difference between circumradius and inradius of an equilateral triangle of side 6 cm is:

Assamese

৬ চে.মি. বাহু থকা এটা সমবাহু ত্ৰিভুজৰ পৰিধিবৃত্তৰ ব্যাসাৰ্ধ আৰু অন্তৰ্বৃত্তৰ ব্যাসাৰ্ধৰ মাজৰ পাৰ্থক্য কিমান?

1 cm 2 cm 3 cm √3 cm

Q4: The difference between Compound Interest and Simple Interest on a sum of ₹20000 for 2 years at 10% per annum is:

₹200 ₹250 ₹300 ₹400

Q5: If cost price of 15 articles = selling price of 12 articles, then profit % = ?

15% 20% 25% 30%

Q6: A sum invested at compound interest rate 12% per annum becomes ₹12544 in 2 years if compounded yearly. Find the principal amount.

₹10000 ₹10050 ₹10100 ₹10200

Q7: The average of 10 numbers is 12. If each is multiplied by 5 and then 10 added, find new average.

70 65 72 74

Q8: The trader sells two items at ₹150 each, one at 25% gain and other at 25% loss. What is the net result?

12.5% loss 6.25% loss 6.25% gain No profit no loss

Q9: In a triangle, if two sides are 10 cm and 6 cm, and the included angle is 120°, the area is:

20√3 cm² 30√3 cm² 15√3 cm² 25√3 cm²

Q10: The average marks of 80 students is 40. If boys' average=45, girls' average=35, then find number of boys.

20 30 40 50

Q11: Cost of 12 pens = cost of 8 pencils. If cost of each pencil is ₹12, find cost price of each pen.

₹6 ₹8 ₹10 ₹12

Q12: A sum of ₹12000 amounts to ₹15840 in 3 years at compound interest. Find the rate of interest per annum.

8% 10% 12% 14%

Q13: The frustum of a cone has radii 7 cm and 14 cm, height 24 cm. Its volume is:

4851 cm³ 5000 cm³ 5300 cm³ 8624 cm³

Q14: Find the mean of first 5 odd numbers.

3 5 7 9

Q15: Average of 5 numbers is 30. If first two numbers are 25 and 35, find average of remaining three.

28 30 32 34

Q16: A laptop is marked at ₹50,000. During a sale, two successive discounts of 20% and 10% are given. Find selling price.

₹35,500 ₹36,000 ₹36,500 ₹37,000

Q17: The present age of a mother is twice the age of her daughter. After 12 years, the daughter’s age will be 2/3 of her mother’s age. What is the daughter’s present age?

12 14 15 18

Q18: The ratio of ages of Anjoli and Sima is 3:5. The difference in their ages is 12 years. Find their ages.

18, 30 20, 32 21, 33 24, 36

Q19: The boat takes 1 hour more to go 24 km upstream than downstream. If speed of stream is 2 km/h, find speed of boat in still water.

6 km/h 8 km/h 10 km/h 12 km/h

Mathematics Advanced 3

Mathematics - Advanced 3

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