The following system, 3 x + 5 2 y = 7 , 9 x + 15 2 y - 21 = 0 , has

Non infinite number of solutions

EASY

CLAT

IMPORTANT

Earn 100

A two-digit number is such that the tens digit exceeds twice the units digit by $2$ and the number obtained by interchanging the digits is $5$ more than three times the sum of the digits. Find the two-digit number.

50% studentsanswered this correctly

Important Questions on Linear and Quadratic Equations

EASY

CLAT

IMPORTANT

Self Study Guide Common Law Admission Test (CLAT) for Quantitative Techniques>Chapter 2 - Linear and Quadratic Equations>Practice Exercise>Q 13

Ramesh and Ganesh had some oranges initially. If Ramesh gave

5

oranges to Ganesh, then Ganesp will have thrice as many as Ramesh. Instead of that, if Ganesh gave

5

oranges to Ramesh, then they will both have the same number of oranges. Find the ratio of oranges of Ramesh and Ganesh.

EASY

CLAT

IMPORTANT

Self Study Guide Common Law Admission Test (CLAT) for Quantitative Techniques>Chapter 2 - Linear and Quadratic Equations>Practice Exercise>Q 14

In a class of x boys and y girls,

3

girls leave the class, the number of boys and girls become equal. Now, five boys leave the class and the number of boys is two-third the number of girls present in the class, find y.

EASY

CLAT

IMPORTANT

Self Study Guide Common Law Admission Test (CLAT) for Quantitative Techniques>Chapter 2 - Linear and Quadratic Equations>Practice Exercise>Q 15

In a farm, there are some hens and horses. If their legs are counted, these are

294

, if the heads are counted; these are

111

. Find the number of horses.

EASY

CLAT

IMPORTANT

Self Study Guide Common Law Admission Test (CLAT) for Quantitative Techniques>Chapter 2 - Linear and Quadratic Equations>Practice Exercise>Q 16

A sum of, ₹

13.50

is made of

38

coins which are either

50

paise or

25

paise. Find the number of

25

paise coins.

EASY

CLAT

IMPORTANT

Self Study Guide Common Law Admission Test (CLAT) for Quantitative Techniques>Chapter 2 - Linear and Quadratic Equations>Practice Exercise>Q 17

In an examination consisting of

60

questions, three marks are given for every correct answer and one mark deducted for every wrong answer. A student attempts all the questions and gets

120

marks. How many questions he marked were right?

EASY

CLAT

IMPORTANT

Self Study Guide Common Law Admission Test (CLAT) for Quantitative Techniques>Chapter 2 - Linear and Quadratic Equations>Practice Exercise>Q 18

If the cost of

2

apples,

3

oranges and a pear is

₹ 62

and the cost of

5

apples,

6

oranges and

4

pears is

₹ 120 .

Find the cost of

3

apples,

3

oranges and

3

pears.

EASY

CLAT

IMPORTANT

Self Study Guide Common Law Admission Test (CLAT) for Quantitative Techniques>Chapter 2 - Linear and Quadratic Equations>Practice Exercise>Q 19

A student was asked to find

\frac{2}{5}

th of a number and he instead multiplied it by

\frac{5}{2}

. As a result, he got an answer which was more than the correct answer by

5208

. What was the original number?

EASY

CLAT

IMPORTANT

Self Study Guide Common Law Admission Test (CLAT) for Quantitative Techniques>Chapter 2 - Linear and Quadratic Equations>Practice Exercise>Q 20

The following system,

3 x + \frac{5}{2} y = 7, 9 x + \frac{15}{2} y - 21 = 0, has

A two-digit number is such that the tens digit exceeds twice the units digit by 2 and the number obtained by interchanging the digits is 5 more than three times the sum of the digits. Find the two-digit number.

Important Questions on Linear and Quadratic Equations

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A two-digit number is such that the tens digit exceeds twice the units digit by $2$ and the number obtained by interchanging the digits is $5$ more than three times the sum of the digits. Find the two-digit number.