The Solution of the equation ax+b = 0 is 

1

(a)

\(x=\frac { a }{ b } \)

(b)

x = -b

(c)

\(x=\frac { -b }{ a } \)

(d)

\(x=\frac { b }{ a } \)

Which of the following is a linear expression?

1

(a)

x² +2 + y

(b)

y + y² + 3

(c)

4

(d)

1 + z

A linear equation in one variable has

1

(a)

only one solution

(b)

no solution

(c)

two solutions

(d)

more than two solutions

The digit in the ten's place of a two-digit number is 3 more than the digit in the unit's place. If the digit at unit's place be b. Then, the number is

1

(a)

11b + 30

(b)

10b+30

(c)

11b+3

(d)

10b+3

Arpita's present age is thrice of Shilpa. If Shilpa's age 3 yr ago was x. Then, Arpita's present age is

1

(a)

3(x - 3)

(b)

3x + 3

(c)

3x - 9

(d)

3(x + 3)

If on dividing a number by 18, the result is -144, then the number is.................

1

(a)

\(\because \frac { -2592 }{ 18 } =-144\)

19 is subtracted from the product of P and 14. The result is 21. The value of P is

1

(a)

\(\because\) (p x 14) - 19 =21 \(\Rightarrow\)149 -19 = 21
14p = 40 \(\Rightarrow\) p=\(\frac { 40 }{ 14 } =\frac { 20 }{ 7 } =2\frac { 6 }{ 7 } \)

After 18 yr, Saurabh will be 4 times as old as he is now. His present age is...........

1

(a)

\(\because\) x + 18 = 4x \(\Rightarrow\)  4x - x = 18
3x = 18  \(\Rightarrow\) x = 6yr

The sum of two consecutive multiples of 10 is 210. The smaller multiple is........

1

(a)

Let two consective multiples of 10 be x and (x + 1)
10 xx + 10 x (x + 1) = 210 \(\Rightarrow\) 10x + 10x +10 = 210
 \(\Rightarrow\) 20x = 210 - 10 = 200 \(\Rightarrow\)x = 200 \(\div\) 20 = 10
So the smaller multiple is 10

If 4t - 3 - (3t + 1)= 5t - 4, then the root of t is.....

1

(a)

4t - 3 - (3t + 1)= 5t - 4
\(\Rightarrow\) 4t - 3 - 3t - 1= 5t - 4 \(\Rightarrow\) t - 4 = 5t - 4
\(\Rightarrow\) t - 5t =-4 +4  -4t = 0 \(\Rightarrow\)  t = 0

If 16x = 80, then 18x = 90 

1

(a) False

(b) True

If x is an even number, then the next even number is 2(x + 1).

1

(a) True

(b) False

Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 - x).

1

(a) True

(b) False

The number of boys and girls in a class in the ratio 5 : 4. If the number of boys is 9 more than the number of girls, then the number of boys is 9.

1

(a) True

(b) False

Two different equations can never have the same answer.

1

(a) True

(b) False

Solve the following equations 1.6 = \(\frac { y }{ 1.5 } \)

2

(a)

Solve the following equations 17 + 6p =9

2

(a)

Solve the following equations \(\frac { x }{ 3 } +1=\frac { 7 }{ 15 } \)

2

(a)

Solve \(\frac { t }{ 2 } =10\)

2

(a)

Find the root the following equations \(3x-\frac { 1 }{ 3 } =\frac { 2 }{ 3 } \)

2

(a)

Three consecutive integers add upto 51. What are these integers?

3

(a)

Baichung's father is 26 yr younger than Baichung's grandfather and 29 yr older than Baichung. The sum of the ages of all the three is 135yr.What is the age of each one of them?

3

(a)

Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

3

(a)

Divide Rs. 1380 among Atul, Ravi and Kishan, so that the amount Atul receives is 5 times as much as Kishan's share and is 3 times as much as Ravi's share.

3

(a)

Solve the following equations and check your result \(\frac { x }{ 5 } +11=\frac { 1 }{ 15 } \)

3

(a)

Divide 34 into two parts in such a way that \(\left( \frac { 4 }{ 7 } \right) \) th of one part is equal to \(\left( \frac { 2 }{ 5 } \right) \) th of the other.

5

(a)

The length of a rectangle exceeds its breadth by 4 cm. If length and breadth are each increased by 3 cm then area of new rectangle will be 81 cm² more than that of the given rectangle. Find the length and breadth of the given rectangle.

5

(a)