Mathematics Advanced 2

Mathematics - Advanced 2

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Q1: Binoy can complete a work in 20 days, Ratul in 25 days. They work on alternate days starting with Binoy. How long will they take to finish the work?

22 days 23 days 24 days 25 days

Q2: The washing machine is sold at a discount of 12% and the selling price is ₹8,800. Find the marked price.

₹9,800 ₹9,900 ₹10,000 ₹10,200

Q3: Two numbers are such that their difference is 72 and HCF is 18. Find the numbers if their ratio is 5:2.

90,162 108,180 72,144 126,198

Q4: The sum of the ages of a father, mother, and daughter is 90. The father is twice as old as the mother, and the mother is three times as old as the daughter. Find the mother’s age.

27 30 32 36

Q5: One right circular cylinder has radius 7 cm and height 14 cm. Its total surface area is:

308 cm² 462 cm² 616 cm² 924 cm²

Q6: If principal amount ₹1000 becomes ₹1331 in 3 years. Find the compound interest rate per annum.
[Interest is compounded annually]

10% 11% 12% 13%

Q7: Bimal alone can do a work in 6 days. Mohan alone can do same work in 8 days. They work alternately, starting with Mohan. Time to finish the work?

3.5 days 3.75 days 4 days 4.25 days

Q8: Three men can do a work in 12, 16, 24 days respectively. How long will they take together?

6 days 5 days 4 days 3 days

Q9: One bicycle is sold for ₹3,600 after two successive discounts of 10% and 5%. Find the marked price.

₹4,200 ₹4,210 ₹4,220 ₹4,230

Q10: Ratio of two numbers is 7:9 and their hcf is 13. Find the numbers.

91,117 65,117 78,90 84,108

Q11: The hemisphere has radius 7 cm. Its curved surface area is:

154 cm² 308 cm² 462 cm² 616 cm²

Q12: One train 150 m long running at 54 km/h crosses a man walking at 6 km/h in opposite direction. Find time to cross him.

8 s 9 s 10 s 12 s

Q13: The diagonal of a cube is 12√3 cm. Its volume is:

1728 cm³ 2048 cm³ 2197 cm³ 2744 cm³

Q14: Two trains start from stations 480 km apart and move towards each other at 50 km/h and 70 km/h. Find time to meet.

3 hours 3.5 hours 4 hours 4.5 hours

Q15: Average of 50 numbers is 38. One number 45 wrongly taken as 15. Find correct average.

38.4 39.2 38.6 40

Q16: The sum of ages of Minu and Mira is 50 years. After 10 years, Minu will be twice as old as Mira. Find the age of Minu.

20 36.67 35 40.69

Q17: A dealer bought a bicycle for ₹450 and spent ₹50 on repairs. He sold it for ₹600. Profit % is:

20% 25% 30% 40%

Q18: Amal, Biren, Sonen can do a work in 6, 8, 12 days. If Sonen is absent, Amal and Biren start together. Then how long Amal and Biren take to finish the work?

4 days 3.4 days 5 days 5.5 days

Q19: An article is sold at 10% loss. If sold for ₹270 more, 20% profit is made. Find cost price.

₹800 ₹850 ₹900 ₹1000

Q20: An amount is invested at compound interest and doubles in 5 years. What is the approximate annual rate of interest if compounded annually?

12% 14% 15% 16%

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