Number Properties (Language)

Q. A number is as much greater than 21 as it is less than 71.The number is:
A)45
B)47
C)48
D)46
(State the reason)

Q.

If on adding 9 to twice of a whole number gives 31, then the whole number is

1. 11

2. 16

3. 7

4. 21

Q. Sudesh is twice as old as Seema. If six years subtracted from Seema's age and four years added to Sudesh's age, Sudesh will be four times Seem's age. How old were they three years ago?

Q.

General form of a three-digit number pqr is ______

1. 3 x p + 2 x q + r
2. 2 x p + 1 x q + r
3. 100 x p + 10 x q + r
4. 100 x p + 10 x r + q

Q.

Find three consecutive numbers such that the sum of the second and the third number exceeds the first by $14$.

Q. Anu is four years older than Sunil. Eight years ago, Anu was three times Sunil's age. Find the ages of Sunil and Anu.

Q.

Pranay's father is 7 times his age now . Two years later his father will be 5 times as old as his son will be . Find their present ages ?

Q.

Ritu is now four times as old as his brother Raju.

In $4$years time, her age will be twice Rajus age.

What are their present ages?

Q.

Find the algebraic expression to express the following number series.

5, 8, 11, 14, 17, 20, …….. (n = 1, 2, 3, 4, .......)

1. 3n - 2

2. 3n + 2

3. 3n - 1

4. 3n + 1

Q.

Emile and Gertrude are brother and sister. Emile has twice as many sisters as brothers, and Gertrude has just as many brothers as sisters. How many children are there in this family?

Q.

Sandhyas present age is four times her daughters present age. After $16$ years, she will be twice the age of her daughters age. What is the present age of Sandhyas daughter?

Q.

2345 is related to 120 in the same way 3456 is related to ?

Q.

A number is as greater than 21 as it is less than 71. Find the number.

1. 50

2. 25

3. 54

4. 46

Q. Simplify the following.

1. $-x+6y$
2. $5x^2+x$
3. $4x-y$
4. $x^2$

Q. What is the difference between an algebraic expression and an equation?

Q.

When a number is multiplied by $-6$, the result is $-84$. Find the number.

Q.

Simplify combining like terms:

(i) 21b − 32 + 7b − 20b

(ii) − z² + 13z² − 5z + 7z³ − 15z

(iii) p − (p − q) − q − (q − p)

(iv) 3a − 2b − ab − (a − b + ab) + 3ab + b − a

(v) 5x²y − 5x² + 3y x² − 3y² + x² − y² + 8xy² −3y²

(vi) (3 y² + 5y − 4) − (8y − y² − 4)

Q. If the hcf of 408&1032is expressible in the form 1032m-4085.find m

Q.

Sum of two consecutive even numbers is 8 more than half of the smaller number. The smaller even number is

1. 3

2. 2

3. 4

4. 6

Q.

Rahul's dad's age is 4 more than 3 times of his present age. If Rahul is 11 years old, then his dad is _____.

1. 35 years old

2. 36 years old

3. 37 years old

4. 34 years old

Q.

Which of the following is an algebraic expression(s)?

1. $\frac{2x}{x}+2$

2. $\frac{4x^2+x^2}{x^2}$

3. None of these.

4. x+4

Q. Which of the following is completely divisible by 11?

1. 186
2. 187
3. 184
4. 185

Q.

If you take '$x$' as the number of chocolates you have, and you receive twice the number of chocolates from your friend, then what will be the number of chocolates you have in total?

1. $x$

2. $3x$

3. $x^2$

4. None of the above

Q.

Father is 5 times son's age and the sum of their ages is 120, then son's age is

1. 40 years

2. 20 years

3. 49 years

4. 35 years

Q.

The entry to a fair costs Rs 20 and each game at the fair costs Rs 5 to play. If Shalini went to the fair and the number of games she played is x, write an expression for the total money spent.

1. 5( $x$ + 20 )

2. 5$x$ + 20

3. 20( $x$ + 5 )

4. 20$x$ + 5

Q.

The perimeter of a rectangle is $48$ units. If the length is twice the breadth, then the length (in units) is

1. $16$

2. $8$

3. $12$

4. $24$

Q.

Ben is $4$ times as old as Ishaan. $6$ years ago, Ben was $6$ times as old as Ishaan. How old is Ishaan now?

Q. If you take '$x$' as the number of chocolates you have, and you receive the same number of chocolates from your friend, then what will be the number of chocolates you have in total?

1. $x$
2. $2x$
3. $x^2$
4. None of the above

Q. Simplify:

(i) (5x −9y) − (−7x + y)
(ii) $\left(x^2-x\right)-\frac{1}{2}\left(x-3+3x^2\right)$
(iii) [7 − 2x + 5y − (x − y)] − (5x + 3y − 7)
(iv) $\left(\frac{1}{3}{y}^2-\frac{4}{7}y+5\right)-\left(\frac{2}{7}y-\frac{2}{3}{y}^2+2\right)-\left(\frac{1}{7}y-3+2y^2\right)$

Q. A number is as much greater than 35 as is less than 53 . Find the numbers.