25365 + Interview Questions in Mathematics Page 11 InterviewSolution

501.	Find the cube root of the result obtained when you subtract x3 from 4097x3.
Answer» Find the cube root of the result obtained when you subtract $x^{3}$ from $4097 x^{3}$ .

Discussion

502.	Question 6 Write the correct answer from the given four options. Which of the following cannot be a perfect square? a) 841 b) 529 c) 198 d) All of these
Answer» Question 6 Write the correct answer from the given four options. Which of the following cannot be a perfect square? a) 841 b) 529 c) 198 d) All of these

502.

Question 6 Write the correct answer from the given four options. Which of the following cannot be a perfect square? a) 841 b) 529 c) 198 d) All of these

Answer»

Question 6

Write the correct answer from the given four options.

Which of the following cannot be a perfect square?

a) 841
b) 529
c) 198
d) All of these

Discussion

503.	The surface areas of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 sq cm. The volume of the solid (in cubic cm) isa) 192b) 384c) 480d) 2592
Answer» The surface areas of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 sq cm. The volume of the solid (in cubic cm) is a) 192 b) 384 c) 480 d) 2592

Discussion

504.	Find the smallest number by which 1458 must be divided so that the quotient is a perfect square. Find the square root of the quotient.
Answer» Find the smallest number by which 1458 must be divided so that the quotient is a perfect square. Find the square root of the quotient.

Discussion

505.	What is the difference between Rishit’s and Samyak’s Maths score?
Answer» What is the difference between Rishit’s and Samyak’s Maths score?

505.

What is the difference between Rishit’s and Samyak’s Maths score?

Answer»

What is the difference between Rishit’s and Samyak’s Maths score?

Discussion

506.	D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE2+BD2=AB2+DE2.
Answer» D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that $A E^{2} + B D^{2} = A B^{2} + D E^{2}$ .

Discussion

507.	Use the given model to multiply the following:15×14=
Answer» Use the given model to multiply the following: $\frac{1}{5} \times \frac{1}{4} =$

Discussion

508.	The symmetries which are exhibited by the following figures are:
Answer» The symmetries which are exhibited by the following figures are:

508.

The symmetries which are exhibited by the following figures are:

Answer»

The symmetries which are exhibited by the following figures are:

Discussion

509.	Preeti is trying to draw a line parallel to line l through a point which is not lying on the line l. Then, find the number of arcs that she needs to draw the parallel line.
Answer» Preeti is trying to draw a line parallel to line $l$ through a point which is not lying on the line $l$ . Then, find the number of arcs that she needs to draw the parallel line.

Discussion

510.	In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is 156 cm2 then find the length of AL. [2 MARKS]
Answer» In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is $156 c m^{2}$ then find the length of AL. [2 MARKS]

510.

In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is 156 cm2 then find the length of AL. [2 MARKS]

Answer»

In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is $156 c m^{2}$ then find the length of AL. [2 MARKS]

Discussion

511.	Coefficient of y in the term -y9 is:
Answer» Coefficient of y in the term - $\frac{y}{9}$ is:

Discussion

512.	The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores.3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2
Answer» The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores. 3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2

Discussion

513.	How to do factorization with algebraic identities ? Give each examples from every identities
Answer» How to do factorization with algebraic identities ? Give each examples from every identities

Discussion

514.	There is a quadrilateral PLAY with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. Which of the following values of LY is not possible?
Answer» There is a quadrilateral PLAY with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. Which of the following values of LY is not possible?

Discussion

515.	A cube of 18 cm is given. How many cubes of 3 cm each will fit in the given cube?
Answer» A cube of $18 cm$ is given. How many cubes of $3 cm$ each will fit in the given cube?

Discussion

516.	Question 8 In the following question out of the four options only one is correct, write the correct answer. Linear equation in one variable has: (a) only one variable with any power. (b) only one term with a variable. (c) only one variable with power 1. (d) only constant term.
Answer» Question 8 In the following question out of the four options only one is correct, write the correct answer. Linear equation in one variable has: (a) only one variable with any power. (b) only one term with a variable. (c) only one variable with power 1. (d) only constant term.

516.

Question 8 In the following question out of the four options only one is correct, write the correct answer. Linear equation in one variable has: (a) only one variable with any power. (b) only one term with a variable. (c) only one variable with power 1. (d) only constant term.

Answer»

Question 8

In the following question out of the four options only one is correct, write the correct answer.

Linear equation in one variable has:

(a) only one variable with any power.

(b) only one term with a variable.

(c) only one variable with power 1.

(d) only constant term.

Discussion

517.	The equation of line passing through point (2,0,−1) and parallel to the line given by x+2y=4 and 2y+3z=−4 is
Answer» The equation of line passing through point $(2, 0, - 1)$ and parallel to the line given by $x + 2 y = 4$ and $2 y + 3 z = - 4$ is

Discussion

518.	If (x−3) and (x−2) are two factors of the polynomial x3−6x2+11x−6,then find the third factor.
Answer» $If (x - 3) and (x - 2) are two factors of the polynomial x^{3} - 6 x^{2} + 11 x - 6, then find the third factor.$

Discussion

519.	Choose the fractions from the following that are in proportion to 13:
Answer» Choose the fractions from the following that are in proportion to $\frac{1}{3}$ :

Discussion

520.	Question 87In the following question, state whether the given statements are true (T) or false (F).The usual form for2×10−2 is not equal to 0.02.
Answer» Question 87 In the following question, state whether the given statements are true (T) or false (F). The usual form for $2 \times 10^{- 2}$ is not equal to 0.02.

520.

Question 87In the following question, state whether the given statements are true (T) or false (F).The usual form for2×10−2 is not equal to 0.02.

Answer»

Question 87

In the following question, state whether the given statements are true (T) or false (F).

The usual form for $2 \times 10^{- 2}$ is not equal to 0.02.

Discussion

521.	4. THE VALUE OF(1/27)raise to the power-2/3 is?
Answer» 4. THE VALUE OF(1/27)raise to the power-2/3 is?

Discussion

522.	x = −5 can be written as equation in two variable in which of the following ways
Answer» x = −5 can be written as equation in two variable in which of the following ways

Discussion

523.	Question 65Sales tax is always calculated on the cost price of an item and is added to the value of the bill.
Answer» Question 65 Sales tax is always calculated on the cost price of an item and is added to the value of the bill.

523.

Question 65Sales tax is always calculated on the cost price of an item and is added to the value of the bill.

Answer»

Question 65

Sales tax is always calculated on the cost price of an item and is added to the value of the bill.

Discussion

524.	The marked price of a watch is ₹1600. The shopkeeper gives two discounts to the customer, the first being 10%. If the customer pays ₹ 1224 for the watch, the second discount is :
Answer» The marked price of a watch is ₹1600. The shopkeeper gives two discounts to the customer, the first being $10 %$ . If the customer pays ₹ 1224 for the watch, the second discount is :

Discussion

525.	In the trapezium ABCD shown below, if ∠ADC=120∘, then find the measure (in degrees) of ∠DCB.60
Answer» In the trapezium ABCD shown below, if $∠ A D C = 120^{\circ}$ , then find the measure (in degrees) of $∠ D C B$ . 60

Discussion

526.	Solve.(1) 905.5 + 27.197(2) 39 + 700.65(3) 40 + 27.7 + 2.451
Answer» Solve. (1) 905.5 + 27.197 (2) 39 + 700.65 (3) 40 + 27.7 + 2.451

Discussion

527.	Choose the correct answer from the given alternative:In a triangle ABC, ∠A = 80° and AB = AC, then ∠B is _____________.A. 50°B. 60°C. 40°D. 70°
Answer» Choose the correct answer from the given alternative: In a triangle ABC, ∠A = 80° and AB = AC, then ∠B is _____________. A. 50° B. 60° C. 40° D. 70°

527.

Choose the correct answer from the given alternative:In a triangle ABC, ∠A = 80° and AB = AC, then ∠B is _____________.A. 50°B. 60°C. 40°D. 70°

Answer»

Choose the correct answer from the given alternative:

In a triangle ABC, ∠A = 80° and AB = AC, then ∠B is _____________.

A. 50°

B. 60°

C. 40°

D. 70°

Discussion

528.	Let n be the mid-point and m be the lower limit of a class in a continuous frequency distribution. The upper limit of the class is
Answer» Let n be the mid-point and m be the lower limit of a class in a continuous frequency distribution. The upper limit of the class is

Discussion

529.	Find the mode from the given data. 1 ,2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2 ,3, 4, 1, 2, 3, 4, 1 ,2 ,3 ,4 ,5 ,5 ,1 ,5 ,5, 5, 3, 5, 1, 2, 4, 5, 6, 1, 2, 4, 2, 1
Answer» Find the mode from the given data. 1 ,2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2 ,3, 4, 1, 2, 3, 4, 1 ,2 ,3 ,4 ,5 ,5 ,1 ,5 ,5, 5, 3, 5, 1, 2, 4, 5, 6, 1, 2, 4, 2, 1

529.

Find the mode from the given data. 1 ,2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2 ,3, 4, 1, 2, 3, 4, 1 ,2 ,3 ,4 ,5 ,5 ,1 ,5 ,5, 5, 3, 5, 1, 2, 4, 5, 6, 1, 2, 4, 2, 1

Answer»

Find the mode from the given data.

1 ,2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2 ,3, 4, 1, 2, 3, 4, 1 ,2 ,3 ,4 ,5 ,5 ,1 ,5 ,5, 5, 3, 5, 1, 2, 4, 5, 6, 1, 2, 4, 2, 1

Discussion

530.	One dimensional unsteady state heat transfer equation for a sphere with heat generation at the rate of q can be written
Answer» One dimensional unsteady state heat transfer equation for a sphere with heat generation at the rate of q can be written

Discussion

531.	If each interior angle of a regular polygon is 150∘, how many sides does this polygon have?
Answer» If each interior angle of a regular polygon is $150^{\circ}$ , how many sides does this polygon have?

Discussion

532.	Find the value of missing number?
Answer» Find the value of missing number?

532.

Find the value of missing number?

Answer»

Find the value of missing number?

Discussion

533.	Construct an equilateral triangle of height 5.2 cm. Measure approximate length of the its side.
Answer» Construct an equilateral triangle of height 5.2 cm. Measure approximate length of the its side.

Discussion

534.	If 23 of a number is 10, then what is 1.75 times of that number?
Answer» If $\frac{2}{3}$ of a number is 10, then what is 1.75 times of that number?

Discussion

535.	Calculate the area of the shaded region in the figure given in cm2.
Answer» Calculate the area of the shaded region in the figure given in $c m^{2} .$

535.

Calculate the area of the shaded region in the figure given in cm2.

Answer»

Calculate the area of the shaded region in the figure given in $c m^{2} .$

Discussion

536.	A function is defined from from set A to set B such that which of the following is the correct tabular representation of the function ?
Answer» A function is defined from from set A to set B such that which of the following is the correct tabular representation of the function ?

Discussion

537.	21. Construct triangle DEF similar to ABC in which AB=5.2 cm, angle B=45 degrees and BC=6 cm using scale factor 1:2
Answer» 21. Construct triangle DEF similar to ABC in which AB=5.2 cm, angle B=45 degrees and BC=6 cm using scale factor 1:2

Discussion

538.	One side of a cyclic quadrilateral passes through the center of a circle. A pair of opposite sides of the quadrilateral is parallel. Determine the angle ∠XWZ.
Answer» One side of a cyclic quadrilateral passes through the center of a circle. A pair of opposite sides of the quadrilateral is parallel. Determine the angle $∠ X W Z .$

Discussion

539.	A person sells 36 oranges per rupee and incurs a loss of 4%. Find how many oranges are to be sold for a rupee to have a gain of 8%.
Answer» A person sells 36 oranges per rupee and incurs a loss of $4 %$ . Find how many oranges are to be sold for a rupee to have a gain of $8 %$ .

Discussion

540.	Explain about properties of closure ,associate, commutative and distributive.
Answer» Explain about properties of closure ,associate, commutative and distributive.

Discussion

541.	Factorisation of −x2y−x+3xy+3 gives _________ .
Answer» Factorisation of $- x^{2} y - x + 3 x y + 3$ gives _________ .

Discussion

542.	let R be the relation on the set Z of all integers defined by (x,y)∈R⇒x-y divisible by n. prove that: [a]: (x,x)∈R for all x∈Z [B]: (x,y)∈ R⇒(y,x)∈ R for all x,y∈R
Answer» let R be the relation on the set Z of all integers defined by (x,y)∈R⇒x-y divisible by n. prove that: [a]: (x,x)∈R for all x∈Z [B]: (x,y)∈ R⇒(y,x)∈ R for all x,y∈R

Discussion

543.	factorize: x^4+1 use completing square method
Answer» factorize: x^4+1 use completing square method

Discussion

544.	The diagram shows the construction of a parallelogram KLMN. The width of the compasses for step I and step II are the same. How much does the angle KLM measure? How much does the angle KLM measure?
Answer» The diagram shows the construction of a parallelogram KLMN. The width of the compasses for step I and step II are the same. How much does the angle KLM measure? How much does the angle KLM measure?

Discussion

545.	The length of a side of a square is given as 2x + 3. Which expression represents the perimeter of the square?
Answer» The length of a side of a square is given as 2x + 3. Which expression represents the perimeter of the square?

Discussion

546.	Find the20th term of the AP 2, 5, 8, 11, 14 ,...
Answer» Find the $20^{t h}$ term of the AP 2, 5, 8, 11, 14 ,...

Discussion

547.	Question 51To construct a unique parallelogram, the minimum number of measurements required isa) 2b) 3c) 4d) 5
Answer» Question 51 To construct a unique parallelogram, the minimum number of measurements required is a) 2 b) 3 c) 4 d) 5

Discussion

548.	If n is a natural number, then 6^n - 5^n always ends with the digit
Answer» If n is a natural number, then 6^n - 5^n always ends with the digit

Discussion

549.	In a class of 40 students, 15 of the total number of students like to study english, 25 of the total number like to study mathematics and the remaining students like to study science. What fractions of the total number of students like to study science?
Answer» In a class of 40 students, $\frac{1}{5}$ of the total number of students like to study english, $\frac{2}{5}$ of the total number like to study mathematics and the remaining students like to study science. What fractions of the total number of students like to study science?

Discussion

550.	If a diagonal of a rectangle is inclined to one side of the rectangle at 35∘, then the acute angle between the diagonals is _____.
Answer» If a diagonal of a rectangle is inclined to one side of the rectangle at $35^{\circ}$ , then the acute angle between the diagonals is _____.

Discussion

Explore topic-wise InterviewSolutions in .

Find the cube root of the result obtained when you subtract x3 from 4097x3.​

Question 6 Write the correct answer from the given four options. Which of the following cannot be a perfect square? a) 841 b) 529 c) 198 d) All of these

The surface areas of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 sq cm. The volume of the solid (in cubic cm) isa) 192b) 384c) 480d) 2592

Find the smallest number by which 1458 must be divided so that the quotient is a perfect square. Find the square root of the quotient.

What is the difference between Rishit’s and Samyak’s Maths score?

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE2+BD2=AB2+DE2.

Use the given model to multiply the following:15×14=

The symmetries which are exhibited by the following figures are:

Preeti is trying to draw a line parallel to line l through a point which is not lying on the line l. Then, find the number of arcs that she needs to draw the parallel line.

In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is 156 cm2 then find the length of AL. [2 MARKS]

Coefficient of y in the term -y9 is:

The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores.3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2

How to do factorization with algebraic identities ? Give each examples from every identities

There is a quadrilateral PLAY with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. Which of the following values of LY is not possible?

A cube of 18 cm is given. How many cubes of 3 cm each will fit in the given cube?

Question 8 In the following question out of the four options only one is correct, write the correct answer. Linear equation in one variable has: (a) only one variable with any power. (b) only one term with a variable. (c) only one variable with power 1. (d) only constant term.

The equation of line passing through point (2,0,−1) and parallel to the line given by x+2y=4 and 2y+3z=−4 is

If (x−3) and (x−2) are two factors of the polynomial x3−6x2+11x−6,then find the third factor.

Choose the fractions from the following that are in proportion to 13:

Question 87In the following question, state whether the given statements are true (T) or false (F).The usual form for2×10−2 is not equal to 0.02.

4. THE VALUE OF(1/27)raise to the power-2/3 is?

x = −5 can be written as equation in two variable in which of the following ways

Question 65Sales tax is always calculated on the cost price of an item and is added to the value of the bill.

The marked price of a watch is ₹1600. The shopkeeper gives two discounts to the customer, the first being 10%. If the customer pays ₹ 1224 for the watch, the second discount is :

In the trapezium ABCD shown below, if ∠ADC=120∘, then find the measure (in degrees) of ∠DCB.60

Solve.(1) 905.5 + 27.197(2) 39 + 700.65(3) 40 + 27.7 + 2.451

Choose the correct answer from the given alternative:In a triangle ABC, ∠A = 80° and AB = AC, then ∠B is _____________.A. 50°B. 60°C. 40°D. 70°

Let n be the mid-point and m be the lower limit of a class in a continuous frequency distribution. The upper limit of the class is

Find the mode from the given data. 1 ,2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2 ,3, 4, 1, 2, 3, 4, 1 ,2 ,3 ,4 ,5 ,5 ,1 ,5 ,5, 5, 3, 5, 1, 2, 4, 5, 6, 1, 2, 4, 2, 1

One dimensional unsteady state heat transfer equation for a sphere with heat generation at the rate of q can be written

If each interior angle of a regular polygon is 150∘, how many sides does this polygon have?

Find the value of missing number?

Construct an equilateral triangle of height 5.2 cm. Measure approximate length of the its side.

If 23 of a number is 10, then what is 1.75 times of that number?

Calculate the area of the shaded region in the figure given in cm2.

A function is defined from from set A to set B such that which of the following is the correct tabular representation of the function ?

21. Construct triangle DEF similar to ABC in which AB=5.2 cm, angle B=45 degrees and BC=6 cm using scale factor 1:2

One side of a cyclic quadrilateral passes through the center of a circle. A pair of opposite sides of the quadrilateral is parallel. Determine the angle ∠XWZ.

A person sells 36 oranges per rupee and incurs a loss of 4%. Find how many oranges are to be sold for a rupee to have a gain of 8%.

Explain about properties of closure ,associate, commutative and distributive.

Factorisation of −x2y−x+3xy+3 gives _________ .

let R be the relation on the set Z of all integers defined by (x,y)∈R⇒x-y divisible by n. prove that: [a]: (x,x)∈R for all x∈Z [B]: (x,y)∈ R⇒(y,x)∈ R for all x,y∈R

factorize: x^4+1 use completing square method

The diagram shows the construction of a parallelogram KLMN. The width of the compasses for step I and step II are the same. How much does the angle KLM measure? How much does the angle KLM measure?

The length of a side of a square is given as 2x + 3. Which expression represents the perimeter of the square?

Find the20th term of the AP 2, 5, 8, 11, 14 ,...

Question 51To construct a unique parallelogram, the minimum number of measurements required isa) 2b) 3c) 4d) 5

If n is a natural number, then 6^n - 5^n always ends with the digit

In a class of 40 students, 15 of the total number of students like to study english, 25 of the total number like to study mathematics and the remaining students like to study science. What fractions of the total number of students like to study science?

If a diagonal of a rectangle is inclined to one side of the rectangle at 35∘, then the acute angle between the diagonals is _____.

Find the cube root of the result obtained when you subtract x3 from 4097x3.