Question

1. A rational number can be represented in the form of:


A. p/q

B. pq

C. p+q

D. p-q


2. The value of ½ x ⅗ is equal to:


A. ½

B. 3/10

C. ⅗

D. ⅖


3.The value of (-10/3) x (-15/2) x (17/19) x 0 is:


A. 0

B. 22.66

C. 20

D. 35


4. What should be subtracted from -⅔ to get -1?


A. ⅓

B. -⅓

C. ⅔

D. -⅔


5. The solution of 2y + 9 = 4 is:


A. 9/2

B. 4/9

C. -⅖

D. -5/2


6. The age of the father is three times the age of the son. If the age of the son is 15 years old, then the age of the father is:


A. 50 years

B. 55 years

C. 40 years

D. 45 years


7. The difference between two whole numbers is 66. The ratio of the two numbers is 2: 5. The two numbers are:


A. 60 and 6

B. 100 and 33

C. 110 and 44

D. 99 and 33


8. Which of the following quadrilaterals has two pairs of adjacent sides equal and its diagonals intersect at 90 degrees?


A. Square

B. Kite
C. Rhombus

D. Rectangle


9. If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?

A. 70°

B. 90°

C. 110°

D. 180°


10. The angles of a quadrilateral are in ratio 1:2:3:4. Which angle has the largest measure?


A. 120°

B. 144°

C. 98°

D. 36°


11. ABCD is a rectangle and AC & BD are its diagonals. If AC = 10 cm, then BD is:


A. 10 cm

B. 5 cm

C. 15 cm

D. 20 cm


12.If two diagonals are given, then we can construct a:


A. Rhombus

B. Rectangle

C. Kite

D. Parallelogram


13. How many measurements are required to construct a quadrilateral, uniquely?


A. Four

B. Five

C. Six

D. Three


14. To construct a parallelogram we need to know:


A. Length of its parallel sides

B. Measure of interior angles

C. Two adjacent sides and one angle

D. Two adjacent sides and two angles


15. Double bar graphs display ______ sets of data simultaneously.


A. Four

B. Three

C. Two

D. No


16. If 20-30 is the class interval of grouped data, then the lower class limit is:


A. 50

B. 30

C. 20

D. 10


17. If a coin is flipped in the air, what is the probability of getting a tail?


A. 0

B. ½

C. 1

D. 2


18. Which of the following is a perfect square?


A. 1057

B. 625
C. 7928

D. 64000


19. The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 is:


A. 121

B. 120

C. 100

D. 110


20. The square of 42 is:


A. 1764

B. 1664

C. 1564

D. 1504​

Answer 1

EXPLANATION.

(1) Rational number : Any number which is expressed in the form of p/q where q ≠ 0 is known as rational number.

Option [A] is correct answer.

(2) Value of 1/2 x 3/5.

⇒ (1 x 3)/(2 x 5).

⇒ 3/10.

Option [B] is correct answer.

(3) Value of (-10/3) x (-15/2) x (17/19) x (0).

As we know that,

If any number is multiply by 0 their results come = 0.

Option [A] is correct answer.

(4) Subtract from -2/3 to get - 1.

⇒ - 1 - (-2/3).

⇒ - 1 + 2/3.

⇒ (- 3 + 2)/3 = - 1/3.

Option [B] is correct answer.

(5) Solution 2y + 9 = 4.

⇒ 2y + 9 = 4.

⇒ 2y = 4 - 9.

⇒ 2y = - 5.

⇒ y = - 5/2.

Option [D] is correct answer.

(6) Age of the father is three times the age of the son.

Let, the age of son be = x.

Let, the age of father be = 3x.

If the age of son be = 15 years.

⇒ x = 15.

Age of the father be = 3x = 3 x 15 = 45 years.

Option [D] is correct answer.

(7) Difference between two whole numbers is 66.

Ratio of two number is 2 : 5.

Let first number be = 2x.

Let second number be = 5x.

⇒ 5x - 2x = 66.

⇒ 3x = 66.

⇒ x = 22.

First number be = 2x = 2 x 22 = 44.

Second numbers be = 5x = 5 x 22 = 110.

Option [C] is correct answer.

(8) Quadrilaterals has two pairs of adjacent sides equal.

Its diagonal intersects at 90°.

kite.

Option [B] is correct answer.

(9) ∠A and ∠B are two adjacent angles of a parallelogram.

⇒ ∠A = 70°.

As we know that,

The adjacent angles of a parallelogram are supplementary angles.

⇒ ∠A + ∠B = 180°.

⇒ 70° + ∠B = 180°.

⇒ ∠B = 180° - 70°.

⇒ ∠B = 110°.

Option [C] is correct answer.

(10) Angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4.

As we know that,

Angles of a quadrilateral = 360°.

⇒ (x) + (2x) + (3x) + (4x) = 360°.

⇒ 10x = 360°.

⇒ x = 36°.

Largest angle = 4x = 4(36°) = 144°.

Option [B] is correct answer.

(11) ABCD is a rectangle.

AC & BD are diagonals.

AC = 10 cm.

BC is also 10 cm [Diagonals are same].

Option [A] is correct answer.

(12) If two diagonals are given.

We construct a Rhombus.

Option [A] is correct answer.

(13) There are 5 measurement are required to construct a quadrilateral uniquely.

Option [B] is correct answer.

(14) To construct a parallelogram.

We need to know,

Two adjacent sides and one angles.

Option [C] is correct answer.

(15) Double bar graphs display 2 sets of data simultaneously.

Option [C] is correct answer.

(16) 20-30 is the class interval.

The lower class limit = 20.

Option [C] is correct answer.

(17) If a coin is flipped in the air.

Probability of getting a tail = 1/2.

Option [B] is correct answer.

(18) Which of the following is a perfect square.

625 = 25 x 25.

Option [B] is correct answer.

(19) Sum of : 1 + 3 + 5 + . . . . . + 19.

As we know that,

Total odd number = 10.

Sum of odd number = n².

Sum = n² = (10)² = 100.

Option [C] is correct answer.

(20) Square of 42.

⇒ 42 x 42. = 1764.

Option [A] is correct answer.

Answer 2

Answer:

$\red{ \boxed{\sf{Multiple\: Choice\: Question :-\: (MCQ)}}}$

❶ A rational number can be represented in the form of:

☯ A. p/q

☯ B. pq

☯ C. p+q

☯ D. p-q

$\implies$ A rational number can be represented in the form of A. p/q

❷ The value of ½ x ⅗ is equal to:

☯ A. ½

☯ B. 3/10

☯ C. ⅗

☯ D. ⅖

$\implies$ The value of ½ x ⅗ is equal to B. 3/10

❸ The value of (-10/3) x (-15/2) x (17/19) x 0 is:

☯ A. 0

☯ B. 22.66

☯ C. 20

☯ D. 35

$\implies$ The value of (-10/3) x (-15/2) x (17/19) x 0 is A. 0

❹ What should be subtracted from -⅔ to get -1?

☯ A. ⅓

☯ B. -⅓

☯ C. ⅔

☯ D. -⅔

$\implies$ What should be subtracted from -⅔ to get -1 ? B. -⅓

❺ The solution of 2y + 9 = 4 is:

☯ A. 9/2

☯ B. 4/9

☯ C. -⅖

☯ D. -5/2

$\implies$ The solution of 2y + 9 = 4 is D. -5/2

❻ The age of the father is three times the age of the son. If the age of the son is 15 years old, then the age of the father is:

☯ A. 50 years

☯ B. 55 years

☯ C. 40 years

☯ D. 45 years

$\implies$ The age of the father is three times the age of the son. If the age of the son is 15 years old, then the age of the father is D. 45 years

❼ The difference between two whole numbers is 66. The ratio of the two numbers is 2: 5. The two numbers are:

☯ A. 60 and 6

☯ B. 100 and 33

☯ C. 110 and 44

☯ D. 99 and 33

$\implies$ The difference between two whole numbers is 66. The ratio of the two numbers is 2: 5. The two numbers are C. 110 and 44

❽ Which of the following quadrilaterals has two pairs of adjacent sides equal and its diagonals intersect at 90 degrees?

☯ A. Square

☯ B. Kite

☯ C. Rhombus

☯ D. Rectangle

$\implies$ Which of the following quadrilaterals has two pairs of adjacent sides equal and its diagonals intersect at 90 degrees? B. Kite

❾ If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?

☯ A. 70°

☯ B. 90°

☯ C. 110°

☯ D. 180°

$\implies$ If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = C. 110°

❿ The angles of a quadrilateral are in ratio 1:2:3:4. Which angle has the largest measure?

☯ A. 120°

☯ B. 144°

☯ C. 98°

☯ D. 36°

$\implies$ The angles of a quadrilateral are in ratio 1:2:3:4. Which angle has the largest measure ? D. 36°

⓫ ABCD is a rectangle and AC & BD are its diagonals. If AC = 10 cm, then BD is:

☯ A. 10 cm

☯ B. 5 cm

☯ C. 15 cm

☯ D. 20 cm

$\implies$ ABCD is a rectangle and AC & BD are its diagonals. If AC = 10 cm, then BD is A. 10 cm

⓬ If two diagonals are given, then we can construct a:

☯A. Rhombus

☯B. Rectangle

☯C. Kite

☯D. Parallelogram

$\implies$ If two diagonals are given, then we can construct a A. Rhombus

⓭ How many measurements are required to construct a quadrilateral, uniquely?

☯A. Four

☯B. Five

☯C. Six

☯D. Three

$\implies$ How many measurements are required to construct a quadrilateral, uniquely ? B. Five

⓮ To construct a parallelogram we need to know:

☯A. Length of its parallel sides

☯B. Measure of interior angles

☯C. Two adjacent sides and one angle

☯D. Two adjacent sides and two angles

$\implies$ To construct a parallelogram we need to know D. Two adjacent sides and two angles

⓯ Double bar graphs display ______ sets of data simultaneously.

☯A. Four

☯B. Three

☯C. Two

☯D. No

$\implies$ Double bar graphs display C. Two sets of data simultaneously.

⓰ If 20-30 is the class interval of grouped data, then the lower class limit is:

☯A. 50

☯B. 30

☯C. 20

☯D. 10

$\implies$ If 20-30 is the class interval of grouped data, then the lower class limit is C. 20

⓱ If a coin is flipped in the air, what is the probability of getting a tail?

☯ A. 0

☯ B. ½

☯ C. 1

☯ D. 2

$\implies$ If a coin is flipped in the air, what is the probability of getting a tail? B. ½

⓲ Which of the following is a perfect square?

☯ A. 1057

☯ B. 625

☯ C. 7928

☯ D. 64000

$\implies$ Which of the following is a perfect square? B. 625

⓳ The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 is:

☯ A. 121

☯ B. 120

☯ C. 100

☯ D. 110

$\implies$ The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 is C. 100

⓴ The square of 42 is:

☯ A. 1764

☯ B. 1664

☯ C. 1564

☯ D. 1504

$\implies$ The square of 42 is A. 1764