19743 + Interview Questions in Mathematics Page 13 InterviewSolution

601.	Question 3 Identify the numerical coefficients of terms (other than constants) in the following expressions: (i) 5−3t2 (ii) 1 + t + t2 + t3 (iii) x + 2xy + 3y (iv) 100m + 1000n (v) −p2q2+7pq (vi) 1.2a + 0.8b (vii) 3.14r2 (viii) 2(l + b) (ix) 0.1y+0.01y2
Answer» Question 3 Identify the numerical coefficients of terms (other than constants) in the following expressions: (i) $5 - 3 t^{2}$ (ii) 1 + t + t² + t³ (iii) x + 2xy + 3y (iv) 100m + 1000n (v) $- p^{2} q^{2} + 7 p q$ (vi) 1.2a + 0.8b (vii) $3.14 r^{2}$ (viii) 2(l + b) (ix) $0.1 y + 0.01 y^{2}$

601.

Question 3 Identify the numerical coefficients of terms (other than constants) in the following expressions: (i) 5−3t2 (ii) 1 + t + t2 + t3 (iii) x + 2xy + 3y (iv) 100m + 1000n (v) −p2q2+7pq (vi) 1.2a + 0.8b (vii) 3.14r2 (viii) 2(l + b) (ix) 0.1y+0.01y2

Answer»

Question 3

Identify the numerical coefficients of terms (other than constants) in the following expressions:

(i) $5 - 3 t^{2}$

(ii) 1 + t + t² + t³

(iii) x + 2xy + 3y

(iv) 100m + 1000n

(v) $- p^{2} q^{2} + 7 p q$

(vi) 1.2a + 0.8b

(vii) $3.14 r^{2}$

(viii) 2(l + b)

(ix) $0.1 y + 0.01 y^{2}$

Discussion

602.	What sum of money should be invested for 5 years at 8% p.a. to earn the same interest as Rs. 3600 at 10% p.a. for 4 years.
Answer» What sum of money should be invested for $5$ years at $8 %$ p.a. to earn the same interest as $R s . 3600$ at $10 %$ p.a. for $4$ years.

Discussion

603.	Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, the variance of the numbers so obtained is(a) 6.5 (b) 2.87 (c) 3.87 (d) 8.25
Answer» Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, the variance of the numbers so obtained is (a) 6.5 (b) 2.87 (c) 3.87 (d) 8.25

Discussion

604.	Match the following: a. Interior angles on the same side of the transversal(i)1–5,2–6,3–7 and 4–8b. Alternate exterior angles(ii)4–6,3–5c. Corresponding angles(iii)1–7,2–8d. Alternate interior angles(iv)3–6,4−5
Answer» Match the following: $\begin{matrix} a. Interior angles on the same side of the transversal & (i) 1 - 5, 2 - 6, 3 - 7 and 4 - 8 b. Alternate exterior angles & (i i) 4 - 6, 3 - 5 c. Corresponding angles & (i i i) 1 - 7, 2 - 8 d. Alternate interior angles & (i v) 3 - 6, 4 - 5 \end{matrix}$

604.

Match the following: a. Interior angles on the same side of the transversal(i)1–5,2–6,3–7 and 4–8b. Alternate exterior angles(ii)4–6,3–5c. Corresponding angles(iii)1–7,2–8d. Alternate interior angles(iv)3–6,4−5

Answer»

Match the following:

$\begin{matrix} a. Interior angles on the same side of the transversal & (i) 1 - 5, 2 - 6, 3 - 7 and 4 - 8 b. Alternate exterior angles & (i i) 4 - 6, 3 - 5 c. Corresponding angles & (i i i) 1 - 7, 2 - 8 d. Alternate interior angles & (i v) 3 - 6, 4 - 5 \end{matrix}$

Discussion

605.	Solve 362−352= ___
Answer» Solve $36^{2} - 35^{2} =$ ___

Discussion

606.	A linear equation in two variables has _____________
Answer» A linear equation in two variables has _____________

Discussion

607.	5+=0
Answer» $5 +$ $= 0$

Discussion

608.	Ravi bought 10 pencil boxes. Out of which 6 boxes have 8 pencils each , remaining boxes have 9 pencils each. What is the total number of pencils approximated to the nearest ten that he bought?
Answer» Ravi bought 10 pencil boxes. Out of which 6 boxes have 8 pencils each , remaining boxes have 9 pencils each. What is the total number of pencils approximated to the nearest ten that he bought?

Discussion

609.	8000 is borrowed at 4 interest for annual for 2 years what will be the amount payable at the end of 2 years
Answer» 8000 is borrowed at 4 interest for annual for 2 years what will be the amount payable at the end of 2 years

Discussion

610.	Question 85(v)The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.How many children use taxi to travel to school?
Answer» Question 85(v) The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. How many children use taxi to travel to school?

610.

Question 85(v)The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.How many children use taxi to travel to school?

Answer»

Question 85(v)

The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.

How many children use taxi to travel to school?

Discussion

611.	A room is in the shape of rectangular prism with dimensions 20 ft × 12 ft × 10 ft. Cost of tiling the floor $12/ft2 will be
Answer» A room is in the shape of rectangular prism with dimensions 20 ft $\times$ 12 ft $\times$ 10 ft. Cost of tiling the floor $$ 12 / {ft}^{2}$ will be

Discussion

612.	For two event A and B, if P(A) = P(A/B) = 14 and P(B/A)=12, then A and B are _____________ events.
Answer» For two event A and B, if P(A) = P(A/B) = $\frac{1}{4} and P (B / A) = \frac{1}{2}$ , then A and B are _____________ events.

Discussion

613.	A rectangle of perimeter 10.75 metres and area 5.8 square metres is to be made. What should be the lengths of its sides?
Answer» A rectangle of perimeter 10.75 metres and area 5.8 square metres is to be made. What should be the lengths of its sides?

Discussion

614.	A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a red king.
Answer» A card is drawn at random from a pack of $52$ cards. Find the probability that the card drawn is a red king.

Discussion

615.	Bill thought of giving “The Hall of Operations” a visit, after listening to these interesting behaviors of the halls towards occupants from different rooms and houses. He happened to visit the Hall from the back door entry and he saw 4 huge stones, one against each of the 4 halls (Addition, Subtraction, Multiplication and Division). Each stone had engravings on it describing the hall against which it is erected. On one such stone, the following was engraved “This hall has been and forever will be commutative for EVERY occupant of the “House of Rational Numbers, Q””. This stone could correspond to which of the four halls?
Answer» Bill thought of giving “The Hall of Operations” a visit, after listening to these interesting behaviors of the halls towards occupants from different rooms and houses. He happened to visit the Hall from the back door entry and he saw 4 huge stones, one against each of the 4 halls (Addition, Subtraction, Multiplication and Division). Each stone had engravings on it describing the hall against which it is erected. On one such stone, the following was engraved “This hall has been and forever will be commutative for EVERY occupant of the “House of Rational Numbers, Q””. This stone could correspond to which of the four halls?

615.

Bill thought of giving “The Hall of Operations” a visit, after listening to these interesting behaviors of the halls towards occupants from different rooms and houses. He happened to visit the Hall from the back door entry and he saw 4 huge stones, one against each of the 4 halls (Addition, Subtraction, Multiplication and Division). Each stone had engravings on it describing the hall against which it is erected. On one such stone, the following was engraved “This hall has been and forever will be commutative for EVERY occupant of the “House of Rational Numbers, Q””. This stone could correspond to which of the four halls?

Answer»

Bill thought of giving “The Hall of Operations” a visit, after listening to these interesting behaviors of the halls towards occupants from different rooms and houses.

He happened to visit the Hall from the back door entry and he saw 4 huge stones, one against each of the 4 halls (Addition, Subtraction, Multiplication and Division). Each stone had engravings on it describing the hall against which it is erected.

On one such stone, the following was engraved

“This hall has been and forever will be commutative for EVERY occupant of the “House of Rational Numbers, Q””.

This stone could correspond to which of the four halls?

Discussion

616.	The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use s for the number of students.)
Answer» The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use s for the number of students.)

Discussion

617.	Question 2 (ii) Find the value of the unknown interior angle x in the following figures.
Answer» Question 2 (ii) Find the value of the unknown interior angle x in the following figures.

Discussion

618.	__m is the height of a parallelogram whose area is 136 m2. Given the length of corresponding base is 8m.
Answer» __m is the height of a parallelogram whose area is 136 $m^{2}$ . Given the length of corresponding base is 8m.

Discussion

619.	Given here is the side view of a water bottle. Draw its top view and also compare the size of shapes that are there in the top view.
Answer» Given here is the side view of a water bottle. Draw its top view and also compare the size of shapes that are there in the top view.

Discussion

620.	should be added to 2√6 to obtain 5√3+√6?
Answer» should be added to $2 \sqrt{6}$ to obtain $5 \sqrt{3} + \sqrt{6}$ ?

Discussion

621.	The below graph shows the favourite colour of the students of a class. How many of them like the colour red?6
Answer» The below graph shows the favourite colour of the students of a class. How many of them like the colour red? 6

Discussion

622.	In an orchard, there are two parallel rows of fruit trees, one beside the other. In the first row, every fourth tree is a blackberry tree, and in the second row, every sixth tree is a blueberry tree. The first occurrence of the blackberry tree, where there is a blueberry tree just opposite to it, is .
Answer» In an orchard, there are two parallel rows of fruit trees, one beside the other. In the first row, every fourth tree is a blackberry tree, and in the second row, every sixth tree is a blueberry tree. The first occurrence of the blackberry tree, where there is a blueberry tree just opposite to it, is .

Discussion

623.	Round 5.59275 to 3 decimal places.
Answer» Round $5.59275$ to $3$ decimal places.

Discussion

624.	The value of x, for which the expressions 3x−4 and 2x+1 become equal, is _____.
Answer» The value of $x$ , for which the expressions $3 x - 4$ and $2 x + 1$ become equal, is _____.

Discussion

625.	prove that \sqrt6 is irration.
Answer» prove that \sqrt6 is irration.

Discussion

626.	A truck requires 108 liters of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?
Answer» A truck requires 108 liters of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?

Discussion

627.	Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.
Answer» Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

627.

Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

Answer»

Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

Discussion

628.	Write thefollowing equations in statement forms:(i) p + 4 = 15 (ii) m − 7 = 3 (iii) 2m= 7 (iv) (v) (vi) 3p+ 4 = 25(vii) 4p− 2 = 18 (viii)
Answer» Write the following equations in statement forms: (i) p + 4 = 15 (ii) m − 7 = 3 (iii) 2m = 7 (iv) (v) (vi) 3p + 4 = 25 (vii) 4p − 2 = 18 (viii)

628.

Write thefollowing equations in statement forms:(i) p + 4 = 15 (ii) m − 7 = 3 (iii) 2m= 7 (iv) (v) (vi) 3p+ 4 = 25(vii) 4p− 2 = 18 (viii)

Answer»

Write the
following equations in statement forms:

(i) p + 4 = 15 (ii) m − 7 = 3

(iii) 2m
= 7 (iv)

(v) (vi) 3p
+ 4 = 25

(vii) 4p
− 2 = 18 (viii)

Discussion

629.	Visualize the representation of 4.¯67 on the number line up to 4 decimal places.
Answer» Visualize the representation of $4. ¯ 67$ on the number line up to 4 decimal places.

Discussion

630.	Five added to a one third of a number gives twice the number, then the number is
Answer» Five added to a one third of a number gives twice the number, then the number is

Discussion

631.	Question 32In the given question, fill in the blanks to make the statement true.If B×B=AB, then either A = 2, B = 5 or A = ___, B = ___ .
Answer» Question 32 In the given question, fill in the blanks to make the statement true. If $B \times B = A B$ , then either A = 2, B = 5 or A = ___, B = ___ .

Discussion

632.	Given : P = { : 5 < 2 – 1 < 11; ε R} & Q = { : – 1 < 3 + 4 < 23 ; ε I}. Represent P and Q on number lines. Write down the elements of P ∩ Q.
Answer» Given : P = { : 5 < 2 – 1 < 11; ε R} & Q = { : – 1 < 3 + 4 < 23 ; ε I}. Represent P and Q on number lines. Write down the elements of P ∩ Q.

Discussion

633.	Arrange the following numbers which are represented using exponents in the ascending order:
Answer» Arrange the following numbers which are represented using exponents in the ascending order:

Discussion

634.	Solve the following problems.What is the simple interest on Rs 5,000 for 3 years at 10% p.a.?
Answer» Solve the following problems. What is the simple interest on Rs 5,000 for 3 years at 10% p.a.?

634.

Solve the following problems.What is the simple interest on Rs 5,000 for 3 years at 10% p.a.?

Answer»

Solve the following problems.

What is the simple interest on Rs 5,000 for 3 years at 10% p.a.?

Discussion

635.	Sushma wants to buy some gifts for her parent's anniversary, so she decided to sell 2 kgs of gold. If 1 gram of gold costs Rs. 2,751, what will be the total amount that she will receive?
Answer» Sushma wants to buy some gifts for her parent's anniversary, so she decided to sell 2 kgs of gold. If 1 gram of gold costs Rs. 2,751, what will be the total amount that she will receive?

Discussion

636.	An angle between the plane, x+y+z=5 and the line of intersection of the planes, 3x+4y+z−1=0 and 5x+8y+2z+14=0, is
Answer» An angle between the plane, $x + y + z = 5$ and the line of intersection of the planes, $3 x + 4 y + z - 1 = 0$ and $5 x + 8 y + 2 z + 14 = 0$ , is

Discussion

637.	Sir I am not able to understand factorisation of algebra pls send the notes or explain it to me pls
Answer» Sir I am not able to understand factorisation of algebra pls send the notes or explain it to me pls

Discussion

638.	Which of the following angles is NOT equal to x (∠ABC)?[PR and QS are parallel linesAD and BC are parallel lines]
Answer» Which of the following angles is NOT equal to x $(∠ A B C)$ ? [PR and QS are parallel lines AD and BC are parallel lines]

638.

Which of the following angles is NOT equal to x (∠ABC)?[PR and QS are parallel linesAD and BC are parallel lines]

Answer»

Which of the following angles is NOT equal to x $(∠ A B C)$ ?

[PR and QS are parallel lines

AD and BC are parallel lines]

Discussion

639.	Sam buys six and three hundred eight thousandths units of a fabric to make a quilt.Select the correct number of units.
Answer» Sam buys six and three hundred eight thousandths units of a fabric to make a quilt. Select the correct number of units.

Discussion

640.	Solve the following.Math the following as shown in the example.
Answer» Solve the following. Math the following as shown in the example.

640.

Solve the following.Math the following as shown in the example.

Answer»

Solve the following.

Math the following as shown in the example.

Discussion

641.	What is the selling price of a cycle if its marked price is Rs. 2,000 at a discount of Rs. 300?
Answer» What is the selling price of a cycle if its marked price is Rs. 2,000 at a discount of Rs. 300?

Discussion

642.	If the mean of 9, 10, 15, x, 6, 8 and 12 is 11. The median of the observations is(a) 4 (b) 10 (c) 13 (d) 5
Answer» If the mean of 9, 10, 15, x, 6, 8 and 12 is 11. The median of the observations is (a) 4 (b) 10 (c) 13 (d) 5

Discussion

643.	Consider two angles - ∠ABC and ∠XYZ. Following information is given about the angles: Based on this information, which of the following can not be the numerical value of ∠XYZ?
Answer» Consider two angles - $∠$ ABC and $∠$ XYZ. Following information is given about the angles: Based on this information, which of the following can not be the numerical value of $∠$ XYZ?

643.

Consider two angles - ∠ABC and ∠XYZ. Following information is given about the angles: Based on this information, which of the following can not be the numerical value of ∠XYZ?

Answer»

Consider two angles - $∠$ ABC and $∠$ XYZ. Following information is given about the angles:

Based on this information, which of the following can not be the numerical value of $∠$ XYZ?

Discussion

644.	In the figure, the two triangles are congruent. The corresponding parts are marked. Complete the congruent statement ΔRAT≅ ?
Answer» In the figure, the two triangles are congruent. The corresponding parts are marked. Complete the congruent statement $Δ R A T ≅$ ?

Discussion

645.	12. For the formation of CH4 of Δ U^° =-x kJ/mol then what will be value of Δ H^° kJ/mol
Answer» 12. For the formation of CH4 of Δ U^° =-x kJ/mol then what will be value of Δ H^° kJ/mol

Discussion

646.	A family of six requires 30 kg of food per month. If six guests stayed over at their house for 10 days, how much extra food (in kg) would be required?
Answer» A family of six requires 30 kg of food per month. If six guests stayed over at their house for 10 days, how much extra food (in kg) would be required?

Discussion

647.	△ABC is constructed such that BC = 5.8 cm, ∠C= ∠B = 30⁰. Then, find the sum of the lengths of side AC and AB.
Answer» △ABC is constructed such that BC = 5.8 cm, ∠C= ∠B = 30⁰. Then, find the sum of the lengths of side AC and AB.

Discussion

648.	A particle moves along x-axis with speed6 m/s for the first half distance of a journey and thesecond half distance with a speed 3 m/s. Theaverage speed in the total journey is(1) 5 m/s(3) 4 m/s(2) 4.5 m/s(4) 2 m/s
Answer» A particle moves along x-axis with speed 6 m/s for the first half distance of a journey and the second half distance with a speed 3 m/s. The average speed in the total journey is (1) 5 m/s (3) 4 m/s (2) 4.5 m/s (4) 2 m/s

Discussion

649.	Find the value y if m \|\| n and l is the transversal.
Answer» Find the value y if m \|\| n and l is the transversal.

Discussion

650.	Which of the following is/are true?
Answer» Which of the following is/are true?

Discussion

Explore topic-wise InterviewSolutions in .

Question 3 Identify the numerical coefficients of terms (other than constants) in the following expressions: (i) 5−3t2 (ii) 1 + t + t2 + t3 (iii) x + 2xy + 3y (iv) 100m + 1000n (v) −p2q2+7pq (vi) 1.2a + 0.8b (vii) 3.14r2 (viii) 2(l + b) (ix) 0.1y+0.01y2

What sum of money should be invested for 5 years at 8% p.a. to earn the same interest as Rs. 3600 at 10% p.a. for 4 years.

Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, the variance of the numbers so obtained is(a) 6.5 (b) 2.87 (c) 3.87 (d) 8.25

Match the following: a. Interior angles on the same side of the transversal(i)1–5,2–6,3–7 and 4–8b. Alternate exterior angles(ii)4–6,3–5c. Corresponding angles(iii)1–7,2–8d. Alternate interior angles(iv)3–6,4−5

Solve 362−352= ___

A linear equation in two variables has _____________

5+=0

Ravi bought 10 pencil boxes. Out of which 6 boxes have 8 pencils each , remaining boxes have 9 pencils each. What is the total number of pencils approximated to the nearest ten that he bought?

8000 is borrowed at 4 interest for annual for 2 years what will be the amount payable at the end of 2 years

Question 85(v)The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.How many children use taxi to travel to school?

A room is in the shape of rectangular prism with dimensions 20 ft × 12 ft × 10 ft. Cost of tiling the floor $12/ft2 will be

For two event A and B, if P(A) = P(A/B) = 14 and P(B/A)=12, then A and B are _____________ events.

A rectangle of perimeter 10.75 metres and area 5.8 square metres is to be made. What should be the lengths of its sides?

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a red king.

The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use s for the number of students.)

Question 2 (ii) Find the value of the unknown interior angle x in the following figures.

__m is the height of a parallelogram whose area is 136 m2. Given the length of corresponding base is 8m.

Given here is the side view of a water bottle. Draw its top view and also compare the size of shapes that are there in the top view.

should be added to 2√6 to obtain 5√3+√6?

The below graph shows the favourite colour of the students of a class. How many of them like the colour red?6

Round 5.59275 to 3 decimal places.

The value of x, for which the expressions 3x−4 and 2x+1 become equal, is _____.

prove that \sqrt6 is irration.

A truck requires 108 liters of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?

Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

Write thefollowing equations in statement forms:(i) p + 4 = 15 (ii) m − 7 = 3 (iii) 2m= 7 (iv) (v) (vi) 3p+ 4 = 25(vii) 4p− 2 = 18 (viii)

Visualize the representation of 4.¯67 on the number line up to 4 decimal places.

Five added to a one third of a number gives twice the number, then the number is

Question 32In the given question, fill in the blanks to make the statement true.If B×B=AB, then either A = 2, B = 5 or A = ___, B = ___ .

Given : P = { : 5 &lt; 2 – 1 &lt; 11; ε R} &amp; Q = { : – 1 &lt; 3 + 4 &lt; 23 ; ε I}. Represent P and Q on number lines. Write down the elements of P ∩ Q.

Arrange the following numbers which are represented using exponents in the ascending order:

Solve the following problems.What is the simple interest on Rs 5,000 for 3 years at 10% p.a.?

Sushma wants to buy some gifts for her parent's anniversary, so she decided to sell 2 kgs of gold. If 1 gram of gold costs Rs. 2,751, what will be the total amount that she will receive?

An angle between the plane, x+y+z=5 and the line of intersection of the planes, 3x+4y+z−1=0 and 5x+8y+2z+14=0, is

Sir I am not able to understand factorisation of algebra pls send the notes or explain it to me pls

Which of the following angles is NOT equal to x (∠ABC)?[PR and QS are parallel linesAD and BC are parallel lines]

Sam buys six and three hundred eight thousandths units of a fabric to make a quilt.Select the correct number of units.

Solve the following.Math the following as shown in the example.

What is the selling price of a cycle if its marked price is Rs. 2,000 at a discount of Rs. 300?

If the mean of 9, 10, 15, x, 6, 8 and 12 is 11. The median of the observations is(a) 4 (b) 10 (c) 13 (d) 5

Consider two angles - ∠ABC and ∠XYZ. Following information is given about the angles: Based on this information, which of the following can not be the numerical value of ∠XYZ?

In the figure, the two triangles are congruent. The corresponding parts are marked. Complete the congruent statement ΔRAT≅ ?

12. For the formation of CH4 of Δ U^° =-x kJ/mol then what will be value of Δ H^° kJ/mol

A family of six requires 30 kg of food per month. If six guests stayed over at their house for 10 days, how much extra food (in kg) would be required?

△ABC is constructed such that BC = 5.8 cm, ∠C= ∠B = 30⁰. Then, find the sum of the lengths of side AC and AB.

A particle moves along x-axis with speed6 m/s for the first half distance of a journey and thesecond half distance with a speed 3 m/s. Theaverage speed in the total journey is(1) 5 m/s(3) 4 m/s(2) 4.5 m/s(4) 2 m/s

Find the value y if m || n and l is the transversal.

Which of the following is/are true?

Question 32In the given question, fill in the blanks to make the statement true.If B×B=AB, then either A = 2, B = 5 or A = _, B = _ .

Given : P = { : 5 < 2 – 1 < 11; ε R} & Q = { : – 1 < 3 + 4 < 23 ; ε I}. Represent P and Q on number lines. Write down the elements of P ∩ Q.