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10th ICSE

IMPORTANT

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A positive number is divided into two parts, such that the sum of the squares of the two parts is $208$ . The square of the larger part is $18$ times the smaller part. Taking $x$ as the smaller part of the two parts, find the number.

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Important Questions on Quadratic Equations in One Variable

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 37

Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by

60

. Assume the middle number to be

x

and form a quadratic equation satisfying the above statement. Hence, find the three numbers.

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10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 38

A

takes

6

days less than the time taken by

B

to finish a work. If both can finish the work in

4

days, then find the time taken by

B

to finish the work.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 39

Two pipes running together can fill a tank in

11 \frac{1}{9}

minutes. If one pipe takes

5

minutes more than the other to fill the tank separately, then find the time in which each pipe would fill the tank separately.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 40

Two pipes running together can fill a cistern in

2 \frac{8}{11}

min. If one pipe takes

1

min more than the other to fill the cistern, then find the time in which each pipe would fill the cistern.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 41

A boat can cover $10 km$ up the stream and $5 km$ down the stream in $6 hours$ . If the speed of the stream is $1.5 km / h$ , find the speed of the boat in still water.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 42

The speed of a boat in still water is

11 km / hr

. It can go

12 km

upstream and return downstream to the original point in

2 hr 45 \min

. If the speed of the stream is

x km / hr

, then find the value of

x

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10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 43

By increasing the speed of a car by

10 \frac{km}{h}

, the time of journey for a distance of

72

km is reduced by

36

min. Find the original speed of the car( write the answer excluding units).

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 44

A scholarship amount of

₹ 75000

was distributed equally among a certain number of students. Had there been

10

students more, each would have got

₹ 250

less. Find the original number of students

A positive number is divided into two parts, such that the sum of the squares of the two parts is 208. The square of the larger part is 18 times the smaller part. Taking x as the smaller part of the two parts, find the number.

Important Questions on Quadratic Equations in One Variable

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A positive number is divided into two parts, such that the sum of the squares of the two parts is $208$ . The square of the larger part is $18$ times the smaller part. Taking $x$ as the smaller part of the two parts, find the number.