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Practice each question, then open the answer or worked solution.
If each matchbox contains 50 matchsticks, the number of matchsticks required to fill n such boxes is
(A) 50 + n (B) 50n (C) 50÷ n (D) 50 – n
Solution:-
(B) 50n
From the question it is given that, number of match sticks in each matchbox = 50
Then, the number of matchsticks required to fill n such boxes = 50 × n
= 50n
Amulya is x years of age now. 5 years ago her age was
(A) (5 – x) years (B) (5 + x) years
(C) (x – 5) years (D) (5 ÷ x) years
Solution:-
(C) (x – 5) years
Current age of Amulya = x years
Then, 5 years ago her age was = (x – 5) years
Which of the following represents 6 × x
(A) 6x (B) x/6 (C) 6 + x (D) 6 – x
Solution:-
(A) 6x
Which of the following is an equation?
(A) x + 1 (B) x – 1 (C) x – 1 = 0 (D) x + 1 > 0
Solution:-
(C) x – 1 = 0
An expression with a variable, constants and the sign of equality (=) is called an equation.
If x takes the value 2, then the value of x + 10 is
(A) 20 (B) 12 (C) 5 (D) 8
Solution:-
(B) 12
From the question it is given that, value of x is 2.
Now substitute the value of x in x + 10
= 2 + 10
= 12
If the perimeter of a regular hexagon is x metres, then the length of each of its sides is
(A) (x + 6) metres (B) (x ÷ 6) metres
(C) (x – 6) metres (D) (6 ÷ x) metres
Solution:-
(B) (x ÷ 6) metres
We know that, perimeter of hexagon = number of sides × length of each side
Given, the perimeter of a regular hexagon is x metres
Then, the length of each of its side = (x/6) metres
= (x ÷ 6) metres
Which of the following equations has x = 2 as a solution?
(A) x + 2 = 5 (B) x – 2 = 0 (C) 2x + 1 = 0 (D) x + 3 = 6
Solution:-
(B) x – 2 = 0
Transforming – 2 from left hand side to right hand side it becomes 2.
Then, x = 2
For any two integers x and y, which of the following suggests that operation of addition is commutative?
(A) x + y = y + x (B) x + y > x
(C) x – y = y – x (D) x × y = y × x
Solution:-
(A) x + y = y + x
Let us assume a and b are the two integers,
Then, commutative law of addition = a + b = b + a
Where, a = x, b = y
Therefore, commutative law of addition = x + y = y + x
Which of the following equations does not have a solution in integers?
(A) x + 1 = 1 (B) x – 1 = 3 (C) 2x + 1 = 6 (D) 1 – x = 5
Solution:-
(C) 2x + 1 = 6
Consider the equation, 2x + 1 = 6
Transforming 1 from left hand side to right hand side it becomes -1.
2x = 6 – 1
2x = 5
X = 5/2
In algebra, a × b means ab, but in arithmetic 3 × 5 is
(A) 35 (B) 53 (C) 15 (D) 8
Solution:-
(C) 15