alleryA ₹600 bill is split equally. With 5 fewer payers, each pays ₹4 more. Original count?
- 35
- 25
- 20
- 30
Show answer and solution
Correct answer: D. 30
The equation 600/(n−5)−600/n=4 gives n²−5n−750=0, with valid count n=30.
ICSE Class 10 Quadratic Equations — practice questions — page 3
Explore 74 free Quadratic Equations questions in ICSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 61–74 of 74.
A ₹600 bill is split equally. With 5 fewer payers, each pays ₹4 more. Original count?Read the answer and worked solution →₹1,200 buys books at ₹p each. A ₹10 price cut permits 4 more books for ₹1,200. Find p.Read the answer and worked solution →A boat goes 12 km upstream and 12 km back in 5 h. Current 1 km/h. Still-water speed?Read the answer and worked solution →An 8 m×6 m lawn has a uniform outer path with a rectangular boundary. Total area is 168 m². Width?Read the answer and worked solution →A right triangle's legs differ by 7 cm; its hypotenuse is 17 cm. Shorter leg?Read the answer and worked solution →A rectangle has perimeter 28 cm and area 48 cm². Its shorter side isRead the answer and worked solution →A maker produces n toys, n<20. Each costs ₹(40−n); total cost ₹375. Find n.Read the answer and worked solution →How many rectangles have perimeter 20 m and area 30 m²?Read the answer and worked solution →Two ages differ by 24 years; in 4 years their product is 432. Younger age now x. Equation?Read the answer and worked solution →₹1,000 becomes ₹1,210 after 2 years, compounded annually at a constant nonnegative rate. Annual rate?Read the answer and worked solution →Match each quadratic discriminant D = b² - 4ac value with the nature of roots:Read the answer and worked solution →Match each quadratic equation with its roots:Read the answer and worked solution →Match each geometric word problem with its quadratic equation model:Read the answer and worked solution →Match each relation between roots α, β of ax² + bx + c = 0 with its formula:Read the answer and worked solution →
Worked practice questions
₹1,200 buys books at ₹p each. A ₹10 price cut permits 4 more books for ₹1,200. Find p.
- ₹70
- ₹60
- ₹50
- ₹40
Show answer and solution
Correct answer: B. ₹60
The purchase relation 1200/(p−10)−1200/p=4 yields p(p−10)=3000 and p=60.
A boat goes 12 km upstream and 12 km back in 5 h. Current 1 km/h. Still-water speed?
- 6 km/h
- 5 km/h
- 7 km/h
- 4 km/h
Show answer and solution
Correct answer: B. 5 km/h
Upstream and downstream times give 12/(v−1)+12/(v+1)=5, whose valid root is v=5.
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