CHOOSE THE CORRECT OPTION :-
1. The value of ½ x 3/5 is equal to :
(a) ½
(b) 3/10
(c) 3/5
(d) 2/5
2. How is -28/84 expressed as a rational number with numerator 4 ?
(a) 4/7
(b) -4/12
(c) 4/-7
(d) 4/12
3. What is the sum of the additive inverse and multiplicative inverse of 2 ?
(a) 3/2
(b) -3/2
(c) -1/2
(d) 1/2
4. Which among the following is a rational number equivalent to -5/-3 ?
(a) -25/ -30
(b) 25/-15
(c) 25/15
(d) -25/30
5. Which of the following is the reciprocal of a rational number?
(a) -1
(b) 1
(c) 2
(d) both a and b
6. The value of ½ + ¼ is equal to :
(a) 3/4
(b) 3/2
(c) 2/3
(d) 1
7. Which among the following is a regular quadrilateral?
(a) Square
(b) Trapezium
(c) Kite
(d) Rectangle
8. Name the figure that is both equiangular and equilateral.
(a) Triangle
(b) Quadrilateral
(c) Regular polygon
(d) Trapezium
9. In a square ABCD, the diagonals bisect at O. What type of a triangle is AOB?
(a) an equilateral triangle
(b) an isosceles triangle but not a right angled triangle
(c) a right angled but not an isosceles triangled.
(d) an isosceles right angled triangle
10. In the quadrilateral ABCD,the diagonals AC and BD are equal and perpendicular to each
other. What type of quadrilateral is ABCD?
(a) A square
(b) A parallelogram
(c) A rhombus
(d) A trapezium
1. The value of ½ x 3/5 is equal to :
(a) ½
(b) 3/10
(c) 3/5
(d) 2/5
2. How is -28/84 expressed as a rational number with numerator 4 ?
(a) 4/7
(b) -4/12
(c) 4/-7
(d) 4/12
3. What is the sum of the additive inverse and multiplicative inverse of 2 ?
(a) 3/2
(b) -3/2
(c) -1/2
(d) 1/2
4. Which among the following is a rational number equivalent to -5/-3 ?
(a) -25/ -30
(b) 25/-15
(c) 25/15
(d) -25/30
5. Which of the following is the reciprocal of a rational number?
(a) -1
(b) 1
(c) 2
(d) both a and b
6. The value of ½ + ¼ is equal to :
(a) 3/4
(b) 3/2
(c) 2/3
(d) 1
7. Which among the following is a regular quadrilateral?
(a) Square
(b) Trapezium
(c) Kite
(d) Rectangle
8. Name the figure that is both equiangular and equilateral.
(a) Triangle
(b) Quadrilateral
(c) Regular polygon
(d) Trapezium
9. In a square ABCD, the diagonals bisect at O. What type of a triangle is AOB?
(a) an equilateral triangle
(b) an isosceles triangle but not a right angled triangle
(c) a right angled but not an isosceles triangled.
(d) an isosceles right angled triangle
10. In the quadrilateral ABCD,the diagonals AC and BD are equal and perpendicular to each
other. What type of quadrilateral is ABCD?
(a) A square
(b) A parallelogram
(c) A rhombus
(d) A trapezium
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EXPLANATION.
(1) = Value of 1/2 x 3/5.
As we know that,
Multiply numerator with numerator and denominator with denominator, we get.
⇒ 1/2 x 3/5 = 3/10.
Option [B] is correct answer.
(2) = - 28/84 expressed as a rational number.
As we know that,
Simplify the numerator and denominator in simplest form, we get.
Equation = - 28/84.
As we can see that,
Both numerator and denominator is divided by 7, we get.
Equation = - 4/12.
Option [B] is correct answer.
(3) = Sum of the additive inverse and multiplicative inverse of 2.
As we know that,
Additive inverse of 2 = - 2.
Multiplicative inverse of 2 = 1/2.
⇒ Sum = - 2 + 1/2.
⇒ Sum = (- 4 + 1)/2.
⇒ Sum = - 3/2.
Option [B] is correct answer.
(4) = Rational number equivalent to - 5/-3.
As we know that,
From option (a),
⇒ - 25/-30, we can write as = - 5/-6.
From option (b),
⇒ -25/-15, we can write as = - 5/-3.
From option (c),
⇒ 25/15, we can write as = 5/3.
From equation (d),
⇒ -25/30, we can write as = - 5/6.
Option [B] is correct answer.
(5) = Reciprocal of a rational number.
As we know that,
The number is reciprocal to own number itself.
Option [D] is correct answer.
(6) = Value of 1/2 + 1/4.
As we know that,
Taking L.C.M. in the equation, we get.
⇒ (2 + 1)/4 = 3/4.
Option [A] is correct answer.
(7) = Regular quadrilateral.
As we know that,
Regular quadrilateral has 4 sides and 2-Dimensional figure.
Option [A] is correct answer.
(8) = Triangle is both equiangular and equilateral.
Option [A] is correct answer.
(9) = In a square ABCD, the diagonals bisects at O.
As we know that,
O is the midpoint of the square.
⇒ AO = OC.
⇒ BO = OD.
⇒ ∠OAB = ∠OBC.
⇒ ∠OCB = ∠ODC.
⇒ ∠OAD = ∠ODA.
⇒ ∠AOB = 90°.
ΔAOB = an isosceles right angled triangle.
Option [D] is correct answer.
(10) = Quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other.
As we know that,
In ΔABC = ΔBAD.
⇒ AB = AB.
⇒ BC = AD.
⇒ ∠ABC = ∠BAD.
⇒ ΔABC ≅ ΔBAD [SAS criteria].
⇒ In ΔOAD = ΔOCD.
⇒ OA = OC. & OB = OD.
⇒ ∠OAD ≅ ∠OCD [ASA criteria].
⇒ ∠AOB + ∠AOD = 180°.
⇒ 2∠AOB = 180°.
⇒ ∠AOB = 90°
Option [A] is correct answer.
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Answer:
1 3/10
2 -4/12
3 -3/2
4 25/15
5 a and b both
6 3/4
7 square
8 regular polygon
9 an isosceles right angled triangle
10 an trapezium