19743 + Interview Questions in Mathematics Page 90 InterviewSolution

4451.	Mark the correct alternative in the following question:If the perimeter of a square is 40 cm, then the length of its each side is(a) 20 cm (b) 10 cm (c) 5 cm (d) 40 cm
Answer» Mark the correct alternative in the following question: If the perimeter of a square is 40 cm, then the length of its each side is (a) 20 cm (b) 10 cm (c) 5 cm (d) 40 cm

Discussion

4452.	Find two consecutive positive integers, sum of whose squares is 365
Answer» Find two consecutive positive integers, sum of whose squares is 365

Discussion

4453.	ABCD and MNOP are two rectangles. How many statements on the right side are correct regarding the rectangles?4
Answer» ABCD and MNOP are two rectangles. How many statements on the right side are correct regarding the rectangles? 4

Discussion

4454.	Question 132 ₹ 9000 becomes ₹ 18000 at simple interest in 8 yr. Find the rate per cent per annum.
Answer» Question 132 ₹ 9000 becomes ₹ 18000 at simple interest in 8 yr. Find the rate per cent per annum.

4454.

Question 132 ₹ 9000 becomes ₹ 18000 at simple interest in 8 yr. Find the rate per cent per annum.

Answer»

Question 132

₹ 9000 becomes ₹ 18000 at simple interest in 8 yr. Find the rate per cent per annum.

Discussion

4455.	anbn= _____
Answer» $\frac{a^{n}}{b^{n}} =$ _____

Discussion

4456.	Observe the given bar graph and tap on the bar corresponding to the highest scorer.
Answer» Observe the given bar graph and tap on the bar corresponding to the highest scorer.

Discussion

4457.	Evaluate (0.05)−3
Answer» Evaluate $(0.05)^{- 3}$

Discussion

4458.	Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m2.
Answer» Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m².

4458.

Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m2.

Answer»

Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m².

Discussion

4459.	Simplify:(1) m2-n2m+n2×m2+mn+n2m3-n3(2) a2+10a+21a2+6a-7×a2-1a+3(3) 8x3-27y34x2-9y2(4) x2-5x-24x+3x+8×x2-64x-82(5) 3x2-x-2x2-7x+12÷3x2-7x-6x2-4(6) 4x2-11x+616x2-9(7) a3-275a2-16a+3÷a2+3a+925a2-1(8) 1-2x+x21-x3×1+x+x21+x
Answer» Simplify: (1) $\frac{m^{2} - n^{2}}{{(m + n)}^{2}} \times \frac{m^{2} + m n + n^{2}}{m^{3} - n^{3}}$ (2) $\frac{a^{2} + 10 a + 21}{a^{2} + 6 a - 7} \times \frac{a^{2} - 1}{a + 3}$ (3) $\frac{8 x^{3} - 27 y^{3}}{4 x^{2} - 9 y^{2}}$ (4) $\frac{x^{2} - 5 x - 24}{(x + 3) (x + 8)} \times \frac{x^{2} - 64}{{(x - 8)}^{2}}$ (5) $\frac{3 x^{2} - x - 2}{x^{2} - 7 x + 12} \div \frac{3 x^{2} - 7 x - 6}{x^{2} - 4}$ (6) $\frac{4 x^{2} - 11 x + 6}{16 x^{2} - 9}$ (7) $\frac{a^{3} - 27}{5 a^{2} - 16 a + 3} \div \frac{a^{2} + 3 a + 9}{25 a^{2} - 1}$ (8) $\frac{1 - 2 x + x^{2}}{1 - x^{3}} \times \frac{1 + x + x^{2}}{1 + x}$

Discussion

4460.	37. The sum of four consecutive terms of an A.P. is 4 and their product is 385. Find the 4 no.s
Answer» 37. The sum of four consecutive terms of an A.P. is 4 and their product is 385. Find the 4 no.s

Discussion

4461.	Choose all the integers that have an absolute value of 3.
Answer» Choose all the integers that have an absolute value of $3.$

Discussion

4462.	Gopi has 19 pencils which are one less than twice the pencils that Ram has. Find the number of pencils Ram has?
Answer» Gopi has 19 pencils which are one less than twice the pencils that Ram has. Find the number of pencils Ram has?

Discussion

4463.	Simplify combining like terms: (i) 21b − 32 + 7b − 20b (ii) − z2 + 13z2 − 5z + 7z3 − 15z (iii) p − (p − q) − q − (q − p) (iv) 3a − 2b − ab − (a − b + ab) + 3ab + b − a (v) 5x2y − 5x2 + 3y x2 − 3y2 + x2 − y2 + 8xy2 −3y2 (vi) (3 y2 + 5y − 4) − (8y − y2 − 4)
Answer» Simplify combining like terms: (i) 21b − 32 + 7b − 20b (ii) − z² + 13z² − 5z + 7z³ − 15z (iii) p − (p − q) − q − (q − p) (iv) 3a − 2b − ab − (a − b + ab) + 3ab + b − a (v) 5x²y − 5x² + 3y x² − 3y² + x²− y²+ 8xy² −3y² (vi) (3 y²+ 5y − 4) − (8y − y² − 4)

4463.

Simplify combining like terms: (i) 21b − 32 + 7b − 20b (ii) − z2 + 13z2 − 5z + 7z3 − 15z (iii) p − (p − q) − q − (q − p) (iv) 3a − 2b − ab − (a − b + ab) + 3ab + b − a (v) 5x2y − 5x2 + 3y x2 − 3y2 + x2 − y2 + 8xy2 −3y2 (vi) (3 y2 + 5y − 4) − (8y − y2 − 4)

Answer»

Simplify combining like terms:

(i) 21b − 32 + 7b − 20b

(ii) − z² + 13z² − 5z
+ 7z³ − 15z

(iii) p − (p − q) − q −
(q − p)

(iv) 3a − 2b − ab − (a
− b + ab) + 3ab + b − a

(v) 5x²y − 5x² + 3y
x² − 3y² + x²−
y²+ 8xy² −3y²

(vi) (3 y²+ 5y − 4) − (8y
− y² − 4)

Discussion

4464.	Question 93 (c) Find a rational number exactly halfway between 5−13 and −79
Answer» Question 93 (c) Find a rational number exactly halfway between $\frac{5}{- 13} a n d \frac{- 7}{9}$

4464.

Question 93 (c) Find a rational number exactly halfway between 5−13 and −79

Answer»

Question 93 (c)

Find a rational number exactly halfway between
$\frac{5}{- 13} a n d \frac{- 7}{9}$

Discussion

4465.	If there are 12 more red tiles than the white ones, total how many tiles are there?
Answer» If there are 12 more red tiles than the white ones, total how many tiles are there?

Discussion

4466.	Identify the expression which results in a terminating decimal number.
Answer» Identify the expression which results in a terminating decimal number.

Discussion

4467.	Question 1(v) Using laws of exponents, simplify and write the answer in exponential form: (v) (52)3÷53
Answer» Question 1(v) Using laws of exponents, simplify and write the answer in exponential form: (v) $(5^{2})^{3} \div 5^{3}$

Discussion

4468.	Simplify 81x8y4z164.
Answer» Simplify $\sqrt[4]{81 x^{8} y^{4} z^{16}}$ .

Discussion

4469.	x/2-1/5=x/3+1/4
Answer» x/2-1/5=x/3+1/4

Discussion

4470.	1 quadrant has been removed from the given circle :If 8 such figures are taken and compared with 9 full circles, what would be the ratio between these figures and full circles taking them as 34 of the full circle.
Answer» 1 quadrant has been removed from the given circle : If 8 such figures are taken and compared with 9 full circles, what would be the ratio between these figures and full circles taking them as $\frac{3}{4}$ of the full circle.

4470.

1 quadrant has been removed from the given circle :If 8 such figures are taken and compared with 9 full circles, what would be the ratio between these figures and full circles taking them as 34 of the full circle.

Answer»

1 quadrant has been removed from the given circle :

If 8 such figures are taken and compared with 9 full circles, what would be the ratio between these figures and full circles taking them as $\frac{3}{4}$ of the full circle.

Discussion

4471.	Which of the following is correct as per Euler’s Formula?
Answer» Which of the following is correct as per Euler’s Formula?

Discussion

4472.	The linear equation for the statement "Twice a number subtracted from 29 gives 11" is
Answer» The linear equation for the statement "Twice a number subtracted from 29 gives 11" is

Discussion

4473.	P, Q and R can do a work in 12, 24 and 32 days respectively. They all begin together. P continues to work till it is finished. R left after 4 days and Q one and half day before its completion. In what time is the work finished?
Answer» P, Q and R can do a work in 12, 24 and 32 days respectively. They all begin together. P continues to work till it is finished. R left after 4 days and Q one and half day before its completion. In what time is the work finished?

Discussion

4474.	Question 7How many solution(s) of the equation 2x + 1 = x - 3 are there on the:(i) number line?(ii) Cartesian plane?
Answer» Question 7 How many solution(s) of the equation 2x + 1 = x - 3 are there on the: (i) number line? (ii) Cartesian plane?

Discussion

4475.	The sum of the two numbers is given to be 27 and their product is 180. What will be the two numbers?
Answer» The sum of the two numbers is given to be $27$ and their product is $180$ . What will be the two numbers?

Discussion

4476.	let z1 and z2 be complex numbers such that z1+i(conjugate of z2) =0 and arg(conjugate of z1 multiplied by z2 ) = pi/3 then arg(conjugate of z1) is . a) pi/3 b) pi c)pi/2 d) 5pi/12 e) 5pi/6
Answer» let z1 and z2 be complex numbers such that z1+i(conjugate of z2) =0 and arg(conjugate of z1 multiplied by z2 ) = pi/3 then arg(conjugate of z1) is . a) pi/3 b) pi c)pi/2 d) 5pi/12 e) 5pi/6

Discussion

4477.	Find the area of the triangle (in inch2)25
Answer» Find the area of the triangle $(in inch^{2})$ 25

Discussion

4478.	Question 1(e) Solve the following equations : 52x=10
Answer» Question 1(e) Solve the following equations : $\frac{5}{2} x = 10$

Discussion

4479.	Question 01.Following are the car parking charges near a railway station up to:4 hoursRs.608 hoursRs.10012 hoursRs.14024 hoursRs.180Check if the parking charges are in direct proportion to the parking time.
Answer» Question 01. Following are the car parking charges near a railway station up to: $\begin{matrix} 4 h o u r s & R s . 60 8 h o u r s & R s .100 12 h o u r s & R s .140 24 h o u r s & R s .180 \end{matrix}$ Check if the parking charges are in direct proportion to the parking time.

4479.

Question 01.Following are the car parking charges near a railway station up to:4 hoursRs.608 hoursRs.10012 hoursRs.14024 hoursRs.180Check if the parking charges are in direct proportion to the parking time.

Answer»

Question 01.

Following are the car parking charges near a railway station up to:

$\begin{matrix} 4 h o u r s & R s . 60 8 h o u r s & R s .100 12 h o u r s & R s .140 24 h o u r s & R s .180 \end{matrix}$

Check if the parking charges are in direct proportion to the parking time.

Discussion

4480.	In fig, side QR of ΔPQR has been produced to S. If ∠P:∠Q:∠R=3:2:1 and RT is perpendicular to PR. Find ∠TRS.
Answer» In fig, side QR of $Δ P Q R$ has been produced to S. If $∠ P : ∠ Q : ∠ R = 3 : 2 : 1$ and RT is perpendicular to PR. Find $∠ T R S$ .

4480.

In fig, side QR of ΔPQR has been produced to S. If ∠P:∠Q:∠R=3:2:1 and RT is perpendicular to PR. Find ∠TRS.

Answer»

In fig, side QR of $Δ P Q R$ has been produced to S. If $∠ P : ∠ Q : ∠ R = 3 : 2 : 1$ and RT is perpendicular to PR. Find $∠ T R S$ .

Discussion

4481.	Find the number of edges in a solid having 6 vertices and 3 faces?7
Answer» Find the number of edges in a solid having 6 vertices and 3 faces? 7

Discussion

4482.	The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is(a) 3: 4(b) 4 : 3(c) 9 : 16(d) 16: 9
Answer» The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is (a) 3: 4 (b) 4 : 3 (c) 9 : 16 (d) 16: 9

Discussion

4483.	The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is(a) 6(b) 18(c) 12(d) 9
Answer» The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is (a) 6 (b) 18 (c) 12 (d) 9

Discussion

4484.	ABC is a triangle,right angled at C.If AB=25 cm and AC=7cm,find BC.
Answer» $A B C$ is a triangle,right angled at $C$ .If $A B = 25$ cm and $A C = 7 c m$ ,find $B C$ .

Discussion

4485.	In the given figure, if AB\|\|CD \|\| EF, PQ\|\|RS, ∠ROD = 25° and ∠CQP = 60°, then ∠QRS = ____________.
Answer» In the given figure, if AB\|\|CD \|\| EF, PQ\|\|RS, ∠ROD = 25° and ∠CQP = 60°, then ∠QRS = ____________.

Discussion

4486.	Question 31If the quantities x and y vary directly with each other, then___of their corresponding values remains constant.
Answer» Question 31 If the quantities x and y vary directly with each other, then___of their corresponding values remains constant.

4486.

Question 31If the quantities x and y vary directly with each other, then___of their corresponding values remains constant.

Answer»

Question 31

If the quantities x and y vary directly with each other, then___of their corresponding values remains constant.

Discussion

4487.	Simplified form of (x+x2)(x+x2) is
Answer» Simplified form of $(x + x^{2}) (x + x^{2})$ is

Discussion

4488.	5 kgs of cement was mixed with 2 kgs of Sand. If the quantity of sand is tripled and that of cement is doubled, find the new ratio between cement and sand.
Answer» 5 kgs of cement was mixed with 2 kgs of Sand. If the quantity of sand is tripled and that of cement is doubled, find the new ratio between cement and sand.

Discussion

4489.	The temperature of a city 5 months back was 25 degrees. It dropped by 30 degrees in past 5 months. What is the present temperature?
Answer» The temperature of a city 5 months back was 25 degrees. It dropped by 30 degrees in past 5 months. What is the present temperature?

Discussion

4490.	A sum of 800 is used to give ten cash prizes to students of a school for their overall academic performance .if each prize is 10 less than its preceding prize then the value of the first prize is
Answer» A sum of 800 is used to give ten cash prizes to students of a school for their overall academic performance .if each prize is 10 less than its preceding prize then the value of the first prize is

Discussion

4491.	7. Solve:dy/dx =(x+y+1)/(2x+2y+1)
Answer» 7. Solve:dy/dx =(x+y+1)/(2x+2y+1)

Discussion

4492.	The value of (√3+3)5−(√3−3)544 is
Answer» The value of $\frac{(\sqrt{3} + 3)^{5} - (\sqrt{3} - 3)^{5}}{44}$ is

Discussion

4493.	Abcd is a rectangle and triangle ecd is an equilateral triangle with E outside the rectangle . If ec\|\|db then the ratio of area of triangle ecd to area of triangle adb is
Answer» Abcd is a rectangle and triangle ecd is an equilateral triangle with E outside the rectangle . If ec\|\|db then the ratio of area of triangle ecd to area of triangle adb is

Discussion

4494.	What is the area of a parallelogram that has a base of 12 cm and corresponding height of 8 cm?
Answer» What is the area of a parallelogram that has a base of 12 cm and corresponding height of 8 cm?

Discussion

4495.	Evaluate 0.5×0.6×0.7=0.21 How does this answer come?
Answer» Evaluate 0.5×0.6×0.7=0.21 How does this answer come?

4495.

Evaluate 0.5×0.6×0.7=0.21 How does this answer come?

Answer»

Evaluate

0.5×0.6×0.7=0.21

How does this answer come?

Discussion

4496.	Find the value of (23)5×36×18×16. ___
Answer» Find the value of $(\frac{2}{3})^{5} \times 3^{6} \times \frac{1}{8} \times \frac{1}{6}$ . ___

Discussion

4497.	If 7 identical articles cost ₹5221, then find the cost of 1 article.
Answer» If 7 identical articles cost $₹ 5 \frac{2}{21},$ then find the cost of 1 article.

Discussion

4498.	What is the minimum interior angle possible for a regular polygon? Why?
Answer» What is the minimum interior angle possible for a regular polygon? Why?

Discussion

4499.	What is the derivative of loge x?
Answer» What is the derivative of loge x?

Discussion

4500.	A man moves from station A to B with speed 5km/h for half time and with speed 15km/h for remaining time. The average speed of the man over the entire journey is :(1) 10km/h(2) 12km/h(3) 6km/h(4) 25km/h
Answer» A man moves from station A to B with speed 5km/h for half time and with speed 15km/h for remaining time. The average speed of the man over the entire journey is : (1) 10km/h (2) 12km/h (3) 6km/h (4) 25km/h

Discussion

Explore topic-wise InterviewSolutions in .

Mark the correct alternative in the following question:If the perimeter of a square is 40 cm, then the length of its each side is(a) 20 cm (b) 10 cm (c) 5 cm (d) 40 cm

Find two consecutive positive integers, sum of whose squares is 365

ABCD and MNOP are two rectangles. How many statements on the right side are correct regarding the rectangles?4

Question 132 ₹ 9000 becomes ₹ 18000 at simple interest in 8 yr. Find the rate per cent per annum.

anbn= _____

Observe the given bar graph and tap on the bar corresponding to the highest scorer.

Evaluate (0.05)−3

Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m2.

Simplify:(1) m2-n2m+n2×m2+mn+n2m3-n3(2) a2+10a+21a2+6a-7×a2-1a+3(3) 8x3-27y34x2-9y2(4) x2-5x-24x+3x+8×x2-64x-82(5) 3x2-x-2x2-7x+12÷3x2-7x-6x2-4(6) 4x2-11x+616x2-9(7) a3-275a2-16a+3÷a2+3a+925a2-1(8) 1-2x+x21-x3×1+x+x21+x

37. The sum of four consecutive terms of an A.P. is 4 and their product is 385. Find the 4 no.s

Choose all the integers that have an absolute value of 3.

Gopi has 19 pencils which are one less than twice the pencils that Ram has. Find the number of pencils Ram has?

Question 93 (c) Find a rational number exactly halfway between 5−13 and −79

If there are 12 more red tiles than the white ones, total how many tiles are there?

Identify the expression which results in a terminating decimal number.

Question 1(v) Using laws of exponents, simplify and write the answer in exponential form: (v) (52)3÷53

Simplify 81x8y4z164.

x/2-1/5=x/3+1/4

1 quadrant has been removed from the given circle :If 8 such figures are taken and compared with 9 full circles, what would be the ratio between these figures and full circles taking them as 34 of the full circle.

Which of the following is correct as per Euler’s Formula?

The linear equation for the statement "Twice a number subtracted from 29 gives 11" is

P, Q and R can do a work in 12, 24 and 32 days respectively. They all begin together. P continues to work till it is finished. R left after 4 days and Q one and half day before its completion. In what time is the work finished?

Question 7How many solution(s) of the equation 2x + 1 = x - 3 are there on the:(i) number line?(ii) Cartesian plane?

The sum of the two numbers is given to be 27 and their product is 180. What will be the two numbers?

let z1 and z2 be complex numbers such that z1+i(conjugate of z2) =0 and arg(conjugate of z1 multiplied by z2 ) = pi/3 then arg(conjugate of z1) is . a) pi/3 b) pi c)pi/2 d) 5pi/12 e) 5pi/6

Find the area of the triangle (in inch2)25

Question 1(e) Solve the following equations : 52x=10

Question 01.Following are the car parking charges near a railway station up to:4 hoursRs.608 hoursRs.10012 hoursRs.14024 hoursRs.180Check if the parking charges are in direct proportion to the parking time.

In fig, side QR of ΔPQR has been produced to S. If ∠P:∠Q:∠R=3:2:1 and RT is perpendicular to PR. Find ∠TRS.

Find the number of edges in a solid having 6 vertices and 3 faces?7

The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is(a) 3: 4(b) 4 : 3(c) 9 : 16(d) 16: 9

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is(a) 6(b) 18(c) 12(d) 9

ABC is a triangle,right angled at C.If AB=25 cm and AC=7cm,find BC.

In the given figure, if AB||CD || EF, PQ||RS, ∠ROD = 25° and ∠CQP = 60°, then ∠QRS = ____________.

Question 31If the quantities x and y vary directly with each other, then___of their corresponding values remains constant.

Simplified form of (x+x2)(x+x2) is

5 kgs of cement was mixed with 2 kgs of Sand. If the quantity of sand is tripled and that of cement is doubled, find the new ratio between cement and sand.

The temperature of a city 5 months back was 25 degrees. It dropped by 30 degrees in past 5 months. What is the present temperature?

A sum of 800 is used to give ten cash prizes to students of a school for their overall academic performance .if each prize is 10 less than its preceding prize then the value of the first prize is

7. Solve:dy/dx =(x+y+1)/(2x+2y+1)

The value of (√3+3)5−(√3−3)544 is

Abcd is a rectangle and triangle ecd is an equilateral triangle with E outside the rectangle . If ec||db then the ratio of area of triangle ecd to area of triangle adb is

What is the area of a parallelogram that has a base of 12 cm and corresponding height of 8 cm?

Evaluate 0.5×0.6×0.7=0.21 How does this answer come?

Find the value of (23)5×36×18×16. ___

If 7 identical articles cost ₹5221, then find the cost of 1 article.

What is the minimum interior angle possible for a regular polygon? Why?

What is the derivative of loge x?

A man moves from station A to B with speed 5km/h for half time and with speed 15km/h for remaining time. The average speed of the man over the entire journey is :(1) 10km/h(2) 12km/h(3) 6km/h(4) 25km/h