19743 + Interview Questions in Mathematics Page 81 InterviewSolution

4001.	Subtract the second expression from the first.(i) (4xy-9z) ; (3xy - 16z) (ii) (5x + 4y + 7z) ; (x + 2y + 3z)(iii) (14x2 + 8xy + 3y2 ) ; (26x2 - 8xy- 17y2) (iv) (6x2+ 7xy+ 16y2 ) ; (16x2 - 17xy)(v) (4x + 16z) ; (19y -14z + 16x)
Answer» Subtract the second expression from the first. (i) (4xy $-$ 9z) ; (3xy $-$ 16z) (ii) (5x + 4y + 7z) ; (x + 2y + 3z) (iii) (14x²+ 8xy + 3y²) ; (26x² $-$ 8xy $-$ 17y²) (iv) (6x²+ 7xy+ 16y² ) ; (16x² $-$ 17xy) (v) (4x + 16z) ; (19y $-$ 14z + 16x)

Discussion

4002.	A man walks on a straight road from is house to a market 2.5km away with a speed of 5km/h.Finding the market closed ,he ins†an tly turns and walks back home with a speed of 7.5km/h.For the given time intervals (i)0 to 30 min (ii)0 to 50 min,(iii)0 to 40min.What is the (a)magnitude of average velocity and (b)average speed of the man
Answer» A man walks on a straight road from is house to a market 2.5km away with a speed of 5km/h.Finding the market closed ,he ins†an tly turns and walks back home with a speed of 7.5km/h.For the given time intervals (i)0 to 30 min (ii)0 to 50 min,(iii)0 to 40min.What is the (a)magnitude of average velocity and (b)average speed of the man

Discussion

4003.	A triangle has all the side lengths equal. Find the exterior angles.
Answer» A triangle has all the side lengths equal. Find the exterior angles.

Discussion

4004.	20. IF A CERTAIN SUM OF MONEY AMOUNT TO 6050 IN 2 YEAR AND TO 6655 IN 3 YEAR AT THE SAME RATE OF INTEREST PER ANNUM COMPOUNDED ANNUALLY,THEN THE SUM OF MONEY IS EQUAL TO ?
Answer» 20. IF A CERTAIN SUM OF MONEY AMOUNT TO 6050 IN 2 YEAR AND TO 6655 IN 3 YEAR AT THE SAME RATE OF INTEREST PER ANNUM COMPOUNDED ANNUALLY,THEN THE SUM OF MONEY IS EQUAL TO ?

Discussion

4005.	Represent the following numbers as integers with appropriate signs.A submarine is moving at a depth of eight thousand metres below the sea level.
Answer» Represent the following numbers as integers with appropriate signs. A submarine is moving at a depth of eight thousand metres below the sea level.

4005.

Represent the following numbers as integers with appropriate signs.A submarine is moving at a depth of eight thousand metres below the sea level.

Answer»

Represent the following numbers as integers with appropriate signs.

A submarine is moving at a depth of eight thousand metres below the sea level.

Discussion

4006.	The mean of 4 numbers was computed as 7, but it was later on found that 3 was misread as 8, The actual mean of this data is .
Answer» The mean of 4 numbers was computed as 7, but it was later on found that 3 was misread as 8, The actual mean of this data is .

Discussion

4007.	The adjacent angles of a parallelogram add upto
Answer» The adjacent angles of a parallelogram add upto

Discussion

4008.	0.007 + 0.07 =
Answer» 0.007 + 0.07 =

Discussion

4009.	Find the value of 6−50÷6−30.
Answer» Find the value of $6^{- 50} \div 6^{- 30}$ .

Discussion

4010.	Find the quantity of paint required to paint all the faces of a room of dimensions 10 m × 8 m × 10 m, assuming paint to have negligible thickness.
Answer» Find the quantity of paint required to paint all the faces of a room of dimensions 10 m $\times$ 8 m $\times$ 10 m, assuming paint to have negligible thickness.

Discussion

4011.	Fill in the blanks with appropriate answers:
Answer» Fill in the blanks with appropriate answers:

4011.

Fill in the blanks with appropriate answers:

Answer»

Fill in the blanks with appropriate answers:

Discussion

4012.	PQR is a right angle triangle, right angled at Q if QS = SR. Prove that PR2=4PS2−3PQ2
Answer» PQR is a right angle triangle, right angled at Q if QS = SR. Prove that $P R^{2} = 4 P S^{2} - 3 P Q^{2}$

Discussion

4013.	The probability of drawing two red cards at random one after the other from a deck containing 52 cards with replacement is which type of event?
Answer» The probability of drawing two red cards at random one after the other from a deck containing 52 cards with replacement is which type of event?

Discussion

4014.	How many lines of symmetry are there in a regular hexagon?
Answer» How many lines of symmetry are there in a regular hexagon?

Discussion

4015.	Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Answer» Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

Discussion

4016.	How is 1225 represented as a decimal?
Answer» How is $\frac{12}{25}$ represented as a decimal?

Discussion

4017.	A family went to a restaurant for dinner. The bill amounting Rs 3000 was handed which was not inclusive of the 4% service charge. The new bill would be:
Answer» A family went to a restaurant for dinner. The bill amounting Rs 3000 was handed which was not inclusive of the $4 %$ service charge. The new bill would be:

Discussion

4018.	Factorise the following expression: 4x2-8x+4
Answer» Factorise the following expression: $4 x^{2} - 8 x + 4$

Discussion

4019.	Question 53 (k) Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial. The sum of square of x and cube of z.
Answer» Question 53 (k) Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial. The sum of square of x and cube of z.

4019.

Question 53 (k) Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial. The sum of square of x and cube of z.

Answer»

Question 53 (k)

Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial.

The sum of square of x and cube of z.

Discussion

4020.	Shubham bought a car on 4 May, 2020. He gave the car was repairing after 1 year 2 months 3 days. What was the approximate date when he gave the car for repairing?
Answer» Shubham bought a car on 4 May, 2020. He gave the car was repairing after 1 year 2 months 3 days. What was the approximate date when he gave the car for repairing?

Discussion

4021.	In the adjoining figure, find the value of x.
Answer» In the adjoining figure, find the value of x.

Discussion

4022.	The equivalent expression for the given statement,'the product of m raised to the power of 2 and n, subtracted from the product of five and p', is
Answer» The equivalent expression for the given statement,'the product of m raised to the power of 2 and n, subtracted from the product of five and p', is

Discussion

4023.	Question 2(b) Solve the following : In an isosceles triangle, the base angles are equal. The vertex angle is 40∘. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180∘.
Answer» Question 2(b) Solve the following : In an isosceles triangle, the base angles are equal. The vertex angle is $40^{\circ}$ . What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is $180^{\circ}$ .

Discussion

4024.	Question 40 (c) Fill in the blanks with <, > or = sign. 74__54
Answer» Question 40 (c) Fill in the blanks with <, > or = sign. $7^{4}__5^{4}$

4024.

Question 40 (c) Fill in the blanks with <, > or = sign. 74__54

Answer»

Question 40 (c)

Fill in the blanks with <, > or = sign.
$7^{4}__5^{4}$

Discussion

4025.	Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the X-axis and one of the vertices lies In the third quadrant.
Answer» Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the X-axis and one of the vertices lies In the third quadrant.

Discussion

4026.	Question 1(e) Evaluate the following 13 ÷ [(- 2) + 1]
Answer» Question 1(e) Evaluate the following 13 $\div$ [(- 2) + 1]

Discussion

4027.	The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then percentage of girls in the class is ___ %.
Answer» The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then percentage of girls in the class is ___ %.

4027.

The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then percentage of girls in the class is ___ %.

Answer»

The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then percentage of girls in the class is ___ %.

Discussion

4028.	What are the coordinates of the point where the lines x=0 and y=0 intersect?
Answer» What are the coordinates of the point where the lines $x = 0$ and $y = 0$ intersect?

Discussion

4029.	Ifn(U)=50,n(A)=20,n((AUB)')=18 then n(B-A)is
Answer» Ifn(U)=50,n(A)=20,n((AUB)')=18 then n(B-A)is

Discussion

4030.	Question 41 In the following question, fill in the blanks with correct symbol >, < or =. ___ ×(−25)=1
Answer» Question 41 In the following question, fill in the blanks with correct symbol >, < or =. ___ $\times (\frac{- 2}{5}) = 1$

4030.

Question 41 In the following question, fill in the blanks with correct symbol >, < or =. ___ ×(−25)=1

Answer»

Question 41

In the following question, fill in the blanks with correct symbol >, < or =.

___ $\times (\frac{- 2}{5}) = 1$

Discussion

4031.	A particle travels half the distance of a straight journey with a speed of 5m/s. The remaining part of the distance is covered with a speed of 6m/s for half the time, and with speed 4m/so for the other half of the remaining time. Find the average speed of the particle.
Answer» A particle travels half the distance of a straight journey with a speed of 5m/s. The remaining part of the distance is covered with a speed of 6m/s for half the time, and with speed 4m/so for the other half of the remaining time. Find the average speed of the particle.

Discussion

4032.	Question 4(i)The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions:In which subject did the student score 105 marks?
Answer» Question 4(i) The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions: In which subject did the student score 105 marks?

Discussion

4033.	The length and breadth of a room are 3x2y3 and 6x3y2, respectively. Find its perimeter and area.
Answer» The length and breadth of a room are 3x²y³ and 6x³y², respectively. Find its perimeter and area.

Discussion

4034.	Question 37 State whether the statement given is True or False. Sum of x and y is x + y.
Answer» Question 37 State whether the statement given is True or False. Sum of x and y is x + y.

4034.

Question 37 State whether the statement given is True or False. Sum of x and y is x + y.

Answer»

Question 37

State whether the statement given is True or False.

Sum of x and y is x + y.

Discussion

4035.	Simplify the following expression using scientific notation:1.24×105+4.7×103
Answer» Simplify the following expression using scientific notation: $1.24 \times 10^{5} + 4.7 \times 10^{3}$

Discussion

4036.	Add:(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12)
Answer» Add: (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12)

4036.

Add:(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12)

Answer»

Add:

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

Discussion

4037.	What is the probability of an even given the event is certain?
Answer» What is the probability of an even given the event is certain?

Discussion

4038.	On a 200km track, a train travels the first 50km at a uniform speed of 40km/h . How fast the train must travel the next 150km so as to maintain the average speed of 60km/h for the whole journey?
Answer» On a 200km track, a train travels the first 50km at a uniform speed of 40km/h . How fast the train must travel the next 150km so as to maintain the average speed of 60km/h for the whole journey?

Discussion

4039.	If O, A, B, C and D are five points, such that 3OD→+DA→+DB→+DC→=k(OA→+OB→+OC→) then k = ________________.
Answer» If O, A, B, C and D are five points, such that $3 \vec{O D} + \vec{D A} + \vec{D B} + \vec{D C} = k (\vec{O A} + \vec{O B} + \vec{O C})$ then k = ________________.

Discussion

4040.	Mr. Vijay is 42 years old and his son is 14 years old. Determine the ratio of father's age to that of son's age when the son was 12 years old.
Answer» Mr. Vijay is 42 years old and his son is 14 years old. Determine the ratio of father's age to that of son's age when the son was 12 years old.

Discussion

4041.	The maximum number of lines of symmetry possible in a polygon is equal to the number of its _________.
Answer» The maximum number of lines of symmetry possible in a polygon is equal to the number of its _________.

Discussion

4042.	How much will be Rajiv's investment worth at the end, if he invests ₹10,000 at a simple interest rate of 10% per annum for two and a half years?
Answer» How much will be Rajiv's investment worth at the end, if he invests ₹10,000 at a simple interest rate of 10% per annum for two and a half years?

Discussion

4043.	Select the point(s) whose y-coordinate is equal to 2.
Answer» Select the point(s) whose y-coordinate is equal to 2.

Discussion

4044.	Convert the base 10 numbers into base 2 by division method.(1) 2(2) 6(3) 18(4) 22(5) 30(6) 44(7) 51(8) 63(9) 77(10) 100
Answer» Convert the base 10 numbers into base 2 by division method. (1) 2 (2) 6 (3) 18 (4) 22 (5) 30 (6) 44 (7) 51 (8) 63 (9) 77 (10) 100

4044.

Convert the base 10 numbers into base 2 by division method.(1) 2(2) 6(3) 18(4) 22(5) 30(6) 44(7) 51(8) 63(9) 77(10) 100

Answer»

Convert the base 10 numbers into base 2 by division method.

(1) 2

(2) 6

(3) 18

(4) 22

(5) 30

(6) 44

(7) 51

(8) 63

(9) 77

(10) 100

Discussion

4045.	Question 08 Which of the following is equivalent to 45 (a) 54 (b) 1625 (c) 1620 (d) 1525
Answer» Question 08 Which of the following is equivalent to $\frac{4}{5}$ (a) $\frac{5}{4}$ (b) $\frac{16}{25}$ (c) $\frac{16}{20}$ (d) $\frac{15}{25}$

4045.

Question 08 Which of the following is equivalent to 45 (a) 54 (b) 1625 (c) 1620 (d) 1525

Answer»

Question 08

Which of the following is equivalent to $\frac{4}{5}$
(a) $\frac{5}{4}$
(b) $\frac{16}{25}$
(c) $\frac{16}{20}$
(d) $\frac{15}{25}$

Discussion

4046.	ntTwo finite sets A and B have respectively p and q elements .if trhe total number of subsets in A is 56 more than the total no of subsets of B , then find the values of p and q .n
Answer» ntTwo finite sets A and B have respectively p and q elements .if trhe total number of subsets in A is 56 more than the total no of subsets of B , then find the values of p and q .n

Discussion

4047.	Calculate the distance travelled in each of the following.A Vehicle moving with a speed of 48 km/hr takes 8 hours to reach the place Find the distance travelled by the vehicle.
Answer» Calculate the distance travelled in each of the following. A Vehicle moving with a speed of 48 km/hr takes 8 hours to reach the place Find the distance travelled by the vehicle.

4047.

Calculate the distance travelled in each of the following.A Vehicle moving with a speed of 48 km/hr takes 8 hours to reach the place Find the distance travelled by the vehicle.

Answer»

Calculate the distance travelled in each of the following.

A Vehicle moving with a speed of 48 km/hr takes 8 hours to reach the place Find the distance travelled by the vehicle.

Discussion

4048.	Four friends got their test results. Answer the following questions based on the graph given below.a) Which person got the third highest marks?b) How many marks did the lowest scorer get?c) How many friends got marks less than 57?
Answer» Four friends got their test results. Answer the following questions based on the graph given below. a) Which person got the third highest marks? b) How many marks did the lowest scorer get? c) How many friends got marks less than 57?

Discussion

4049.	How many right angles can you count in a cubical room? [3 MARKS]
Answer» How many right angles can you count in a cubical room? [3 MARKS]

Discussion

4050.	If the angles of a triangle are x∘, 2x∘ and 3x∘, then the value of x is __ (in degrees).
Answer» If the angles of a triangle are $x^{\circ}$ , $2 x^{\circ}$ and $3 x^{\circ}$ , then the value of x is __ (in degrees).

Discussion

Explore topic-wise InterviewSolutions in .

Subtract the second expression from the first.(i) (4xy-9z) ; (3xy - 16z) (ii) (5x + 4y + 7z) ; (x + 2y + 3z)(iii) (14x2 + 8xy + 3y2 ) ; (26x2 - 8xy- 17y2) (iv) (6x2+ 7xy+ 16y2 ) ; (16x2 - 17xy)(v) (4x + 16z) ; (19y -14z + 16x)

A triangle has all the side lengths equal. Find the exterior angles.

20. IF A CERTAIN SUM OF MONEY AMOUNT TO 6050 IN 2 YEAR AND TO 6655 IN 3 YEAR AT THE SAME RATE OF INTEREST PER ANNUM COMPOUNDED ANNUALLY,THEN THE SUM OF MONEY IS EQUAL TO ?

Represent the following numbers as integers with appropriate signs.A submarine is moving at a depth of eight thousand metres below the sea level.

The mean of 4 numbers was computed as 7, but it was later on found that 3 was misread as 8, The actual mean of this data is .

The adjacent angles of a parallelogram add upto

0.007 + 0.07 =

Find the value of 6−50÷6−30.

Find the quantity of paint required to paint all the faces of a room of dimensions 10 m × 8 m × 10 m, assuming paint to have negligible thickness.

Fill in the blanks with appropriate answers:

PQR is a right angle triangle, right angled at Q if QS = SR. Prove that PR2=4PS2−3PQ2

The probability of drawing two red cards at random one after the other from a deck containing 52 cards with replacement is which type of event?

How many lines of symmetry are there in a regular hexagon?

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

How is 1225 represented as a decimal?

A family went to a restaurant for dinner. The bill amounting Rs 3000 was handed which was not inclusive of the 4% service charge. The new bill would be:

Factorise the following expression: 4x2-8x+4

Question 53 (k) Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial. The sum of square of x and cube of z.

Shubham bought a car on 4 May, 2020. He gave the car was repairing after 1 year 2 months 3 days. What was the approximate date when he gave the car for repairing?

In the adjoining figure, find the value of x.

The equivalent expression for the given statement,'the product of m raised to the power of 2 and n, subtracted from the product of five and p', is

Question 2(b) Solve the following : In an isosceles triangle, the base angles are equal. The vertex angle is 40∘. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180∘.

Question 40 (c) Fill in the blanks with &lt;, &gt; or = sign. 74__54

Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the X-axis and one of the vertices lies In the third quadrant.

Question 1(e) Evaluate the following 13 ÷ [(- 2) + 1]

The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then percentage of girls in the class is ___ %.

What are the coordinates of the point where the lines x=0 and y=0 intersect?

Ifn(U)=50,n(A)=20,n((AUB)')=18 then n(B-A)is

Question 41 In the following question, fill in the blanks with correct symbol &gt;, &lt; or =. ___ ×(−25)=1

A particle travels half the distance of a straight journey with a speed of 5m/s. The remaining part of the distance is covered with a speed of 6m/s for half the time, and with speed 4m/so for the other half of the remaining time. Find the average speed of the particle.

Question 4(i)The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions:In which subject did the student score 105 marks?

The length and breadth of a room are 3x2y3 and 6x3y2, respectively. Find its perimeter and area.

Question 37 State whether the statement given is True or False. Sum of x and y is x + y.

Simplify the following expression using scientific notation:1.24×105+4.7×103

Add:(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12)

What is the probability of an even given the event is certain?

On a 200km track, a train travels the first 50km at a uniform speed of 40km/h . How fast the train must travel the next 150km so as to maintain the average speed of 60km/h for the whole journey?

If O, A, B, C and D are five points, such that 3OD→+DA→+DB→+DC→=k(OA→+OB→+OC→) then k = ________________.

Mr. Vijay is 42 years old and his son is 14 years old. Determine the ratio of father's age to that of son's age when the son was 12 years old.

The maximum number of lines of symmetry possible in a polygon is equal to the number of its _________.

How much will be Rajiv's investment worth at the end, if he invests ₹10,000 at a simple interest rate of 10% per annum for two and a half years?

Select the point(s) whose y-coordinate is equal to 2.

Convert the base 10 numbers into base 2 by division method.(1) 2(2) 6(3) 18(4) 22(5) 30(6) 44(7) 51(8) 63(9) 77(10) 100

Question 08 Which of the following is equivalent to 45 (a) 54 (b) 1625 (c) 1620 (d) 1525

ntTwo finite sets A and B have respectively p and q elements .if trhe total number of subsets in A is 56 more than the total no of subsets of B , then find the values of p and q .n

Calculate the distance travelled in each of the following.A Vehicle moving with a speed of 48 km/hr takes 8 hours to reach the place Find the distance travelled by the vehicle.

Four friends got their test results. Answer the following questions based on the graph given below.a) Which person got the third highest marks?b) How many marks did the lowest scorer get?c) How many friends got marks less than 57?

How many right angles can you count in a cubical room? [3 MARKS]

If the angles of a triangle are x∘, 2x∘​ and 3x∘, then the value of x is __ (in degrees).

Question 40 (c) Fill in the blanks with <, > or = sign. 74__54

Question 41 In the following question, fill in the blanks with correct symbol >, < or =. ___ ×(−25)=1

If the angles of a triangle are x∘, 2x∘ and 3x∘, then the value of x is __ (in degrees).