24740 + Interview Questions in Mathematics Page 156 InterviewSolution

7751.	Which of the following expressions are polynomials? (i) x2+4+y3 (ii) 4−x−1+z3 (iii) 2x2−2x
Answer» Which of the following expressions are polynomials? (i) $x^{2} + 4 + y^{3}$ (ii) $4 - x^{- 1} + z^{3}$ (iii) $2 x^{2} - \frac{2}{x}$

Discussion

7752.	The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. What is the ratio of their volumes?The volume of the first cylinder is 720 cubic centimetres. What is the volume of the second?
Answer» The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. What is the ratio of their volumes? The volume of the first cylinder is 720 cubic centimetres. What is the volume of the second?

7752.

The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. What is the ratio of their volumes?The volume of the first cylinder is 720 cubic centimetres. What is the volume of the second?

Answer»

The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. What is the ratio of their volumes?

The volume of the first cylinder is 720 cubic centimetres. What is the volume of the second?

Discussion

7753.	In how many parts a chord divides a circle?
Answer» In how many parts a chord divides a circle?

Discussion

7754.	Which of the following are two irrational numbers between 5 and 6 ?
Answer» Which of the following are two irrational numbers between 5 and 6 ?

Discussion

7755.	In a quadrilateral ABCD, show that(AB + BC + CD + DA)<2(BD+AC.)
Answer» $In a quadrilateral ABCD, show that (AB + BC + CD + DA) < 2 (B D + A C .)$

Discussion

7756.	In a circle, a chord 3 centimetres away from the centre is 8 centimetres long. How long is a chord, 1.4 centimetres away from the centre in this circle?
Answer» In a circle, a chord 3 centimetres away from the centre is 8 centimetres long. How long is a chord, 1.4 centimetres away from the centre in this circle?

7756.

In a circle, a chord 3 centimetres away from the centre is 8 centimetres long. How long is a chord, 1.4 centimetres away from the centre in this circle?

Answer»

In a circle, a chord 3 centimetres away from the centre is 8 centimetres long. How long is a chord, 1.4 centimetres away from the centre in this circle?

Discussion

7757.	A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is(a) 4πr3(b) 83πr3(c) 2πr3(d) 8πr3
Answer» A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is (a) 4πr³ (b) $\frac{8}{3}$ πr³ (c) 2πr³ (d) 8πr³

Discussion

7758.	Question 9In figure X and Y are the mid - points of AC and AB respectively, QP \|\| BC and CYQ and BXP are straight lines. Prove that ar(ΔABP)=ar(ΔACQ).
Answer» Question 9 In figure X and Y are the mid - points of AC and AB respectively, QP \|\| BC and CYQ and BXP are straight lines. Prove that $a r (Δ A B P) = a r (Δ A C Q)$ .

Discussion

7759.	ABCD is a flower bed If OA = 21m and OC = 14m. Find the area of the bed in m2.
Answer» ABCD is a flower bed If OA = 21m and OC = 14m. Find the area of the bed in $m^{2}$ .

7759.

ABCD is a flower bed If OA = 21m and OC = 14m. Find the area of the bed in m2.

Answer»

ABCD is a flower bed If OA = 21m and OC = 14m. Find the area of the bed in $m^{2}$ .

Discussion

7760.	Question 65 (iv) How many vertices does the following solid have? Octagonal Pyramid
Answer» Question 65 (iv) How many vertices does the following solid have? Octagonal Pyramid

Discussion

7761.	Ipsa bought a car which covers 363 km in 24.2 liters of petrol. One day, she has to go to airport but in her car there was only 7 liters of petrol, how far can she go?
Answer» Ipsa bought a car which covers 363 km in 24.2 liters of petrol. One day, she has to go to airport but in her car there was only 7 liters of petrol, how far can she go?

Discussion

7762.	A cricket team won two more matches than they lost. If they win they get 5 points and for loss − 3 points, how many matches have they played if their total score is 50.
Answer» A cricket team won two more matches than they lost. If they win they get 5 points and for loss − 3 points, how many matches have they played if their total score is 50.

Discussion

7763.	Question 1 (i)A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:(i)The area of the sheet required for making the box.
Answer» Question 1 (i) A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine: (i)The area of the sheet required for making the box.

Discussion

7764.	If twice the value of a variable is equal to the sum of the squares of 17 and 19, find the value of the variable. ___
Answer» If twice the value of a variable is equal to the sum of the squares of $17$ and $19$ , find the value of the variable. ___

Discussion

7765.	In each pair of triangles given below, parts shown by identical marks are congruent. State the test and the one to one correspondence of vertices by which triangles in each pair are congruent and remaining congruent parts.(1)(2) (3)
Answer» In each pair of triangles given below, parts shown by identical marks are congruent. State the test and the one to one correspondence of vertices by which triangles in each pair are congruent and remaining congruent parts. (1) (2) (3)

Discussion

7766.	Give the equations of two lines passing through (2,14).How many more such lines are there and why.
Answer» Give the equations of two lines passing through (2,14).How many more such lines are there and why.

Discussion

7767.	In the given figures below, decide whether l is parallel to m.
Answer» In the given figures below, decide whether l is parallel to m.

Discussion

7768.	40. If y=xsiny,then dy/dx in terms of x,cos and y=
Answer» 40. If y=xsiny,then dy/dx in terms of x,cos and y=

Discussion

7769.	In the given figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that(i) ar (ACB) = ar (ACF)(ii) ar (AEDF) = ar (ABCDE)
Answer» In the given figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) ar (ACB) = ar (ACF) (ii) ar (AEDF) = ar (ABCDE)

7769.

In the given figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that(i) ar (ACB) = ar (ACF)(ii) ar (AEDF) = ar (ABCDE)

Answer»

In the given figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that

(i) ar (ACB) = ar (ACF)

(ii) ar (AEDF) = ar (ABCDE)

Discussion

7770.	Verify whether the following are zeroes of the polynomial, indicated against them.(i) p(x) = 3x + 1, x = −13(ii) p(x)=5x−π,x=45(iii) p(x)=x2−1,x=1,−1(iv) p(x) = (x +1) (x -2), x = - 1, 2
Answer» Verify whether the following are zeroes of the polynomial, indicated against them. (i) p(x) = 3x + 1, x = $- \frac{1}{3}$ (ii) $p (x) = 5 x - π, x = \frac{4}{5}$ (iii) $p (x) = x^{2} - 1, x = 1, - 1$ (iv) p(x) = (x +1) (x -2), x = - 1, 2

Discussion

7771.

From the timetable shown below, find the total duration of all the activities which happened after lunch. Activity Start time End time Morning walk 7:00 8:00 Breakfast 9:15 9:45 Lunch 12:30 13:00 Playing 17:30 18:45 Dinner 21:45 22:15

Answer» From the timetable shown below, find the total duration of all the activities which happened after lunch.

Activity	Start time	End time
Morning walk	7:00	8:00
Breakfast	9:15	9:45
Lunch	12:30	13:00
Playing	17:30	18:45
Dinner	21:45	22:15

Discussion

7772.	2tan30∘1+tan230∘=
Answer» $\frac{2 tan 30^{\circ}}{1 + {tan}^{2} 30^{\circ}} =$

Discussion

7773.	How to find two irrational number between 0.12 and 0.13
Answer» How to find two irrational number between 0.12 and 0.13

Discussion

7774.	cos4 A − sin4 A is equal to(a) 2 cos2 A + 1(b) 2 cos2 A − 1(c) 2 sin2 A − 1(d) 2 sin2 A + 1
Answer» cos⁴ A − sin⁴ A is equal to (a) 2 cos² A + 1 (b) 2 cos² A − 1 (c) 2 sin² A − 1 (d) 2 sin² A + 1

Discussion

7775.	The bisectors of the angle of a parallelogram enclose a
Answer» The bisectors of the angle of a parallelogram enclose a

Discussion

7776.	Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units.
Answer» Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units.

Discussion

7777.	What is the total length of the line shown below?
Answer» What is the total length of the line shown below?

7777.

What is the total length of the line shown below?

Answer»

What is the total length of the line shown below?

Discussion

7778.	In the given figure, if D and E are the mid points of sides AB and AC, respectively, and DE is produced to F such that E is the mid point of FD, which of the following options is correct?
Answer» In the given figure, if D and E are the mid points of sides AB and AC, respectively, and DE is produced to F such that E is the mid point of FD, which of the following options is correct?

Discussion

7779.	ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show thatAP = CQ
Answer» ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show that AP = CQ

Discussion

7780.	Which is the largest of ?
Answer» Which is the largest of ?

7780.

Which is the largest of ?

Answer»

Which is the largest of ?

Discussion

7781.	Y = (xy+yz)2−2x2y2zWhen x=−1,y=1 and z=2, \|Y\| = ___
Answer» Y = $(x y + y z)^{2} - 2 x^{2} y^{2} z$ When $x = - 1, y = 1$ and $z = 2$ , \|Y\| = ___

Discussion

7782.	The diagonals of a rectangle ABCD meet at O. If ∠𝐵𝑂𝐶 = 44∘, find ∠𝑂𝐴𝐷.
Answer» The diagonals of a rectangle ABCD meet at O. If ∠𝐵𝑂𝐶 = $44^{\circ}$ , find ∠𝑂𝐴𝐷.

Discussion

7783.	Question 4(c) Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion: 2 kg : 80 kg and 25 g : 626 g
Answer» Question 4(c) Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion: 2 kg : 80 kg and 25 g : 626 g

7783.

Question 4(c) Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion: 2 kg : 80 kg and 25 g : 626 g

Answer»

Question 4(c)

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:

2 kg : 80 kg and 25 g : 626 g

Discussion

7784.	(3,–4) is not a solution of
Answer» $(3, - 4)$ is not a solution of

Discussion

7785.	If a set A has n elements, then the total number of subsets of A is
Answer» If a set A has n elements, then the total number of subsets of A is

Discussion

7786.	Draw a circle with centre at point O. Draw its two chords AB and CD such that AB is not parallel to CD. Draw the perpendicular bisectors of AB and CD. At what point do they intersect ?
Answer» Draw a circle with centre at point O. Draw its two chords AB and CD such that AB is not parallel to CD. Draw the perpendicular bisectors of AB and CD. At what point do they intersect ?

Discussion

7787.	Question 1 (vi) Find 211.02 × 4
Answer» Question 1 (vi) Find 211.02 $\times$ 4

Discussion

7788.	The perimeter of an isosceles triangle is 13 cm. The side which is not equal to the other two sides has a length of 3 cm. What is the length of one of the sides which is equal?
Answer» The perimeter of an isosceles triangle is 13 cm. The side which is not equal to the other two sides has a length of 3 cm. What is the length of one of the sides which is equal?

Discussion

7789.	Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.(i) (ii) (iii)(iv) (v)
Answer» Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) (ii) (iii) (iv) (v)

7789.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.(i) (ii) (iii)(iv) (v)

Answer»

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

(i) (ii) (iii)

(iv) (v)

Discussion

7790.	In Fig. 4, find the measure of arc ADC, if ∠OAB = 30° and ∠OCB = 50°.
Answer» In Fig. 4, find the measure of arc ADC, if ∠OAB = 30° and ∠OCB = 50°.

Discussion

7791.	(1/x) + (1/(y+z)) = 1/2, (1/y) + (1/(z+x)) = 1/3, (1/z) + (1/(x+y)) = 1/4Find x, y and z
Answer» (1/x) + (1/(y+z)) = 1/2, (1/y) + (1/(z+x)) = 1/3, (1/z) + (1/(x+y)) = 1/4 Find x, y and z

Discussion

7792.	x2-qx-p2+5pq-6q2 ans (x-p-2q)(x+p-3q)
Answer» x²-qx-p²+5pq-6q² ^{ans (x-p-2q)(x+p-3q)}

7792.

x2-qx-p2+5pq-6q2 ans (x-p-2q)(x+p-3q)

Answer»

x²-qx-p²+5pq-6q²

^{ans (x-p-2q)(x+p-3q)}

Discussion

7793.	If all the three angles of a triangle are equal, then each one of them is equal to
Answer» If all the three angles of a triangle are equal, then each one of them is equal to

Discussion

7794.

The following table shows the interest paid by a company (in lakhs): Year 1995-96 1996-97 1997-98 1998-99 1999-2000 Interest (in lakhs of rupees 20 25 15 18 30 Draw the bar graph to represent the above information.

Answer» The following table shows the interest paid by a company (in lakhs):

Year	1995-96	1996-97	1997-98	1998-99	1999-2000
Interest (in lakhs of rupees	20	25	15	18	30

Draw the bar graph to represent the above information.

Discussion

7795.	The pq form of 10.5 is ______ , where p and q are co-primes and q≠0.
Answer» The $\frac{p}{q}$ form of 10.5 is ______ , where $p$ and $q$ are co-primes and $q \neq 0$ .

Discussion

7796.	Question 7 (i)ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show thatD is the mid-point of AC.
Answer» Question 7 (i) ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that D is the mid-point of AC.

Discussion

7797.	Find the relation between x and y such that the point (x,y) is equidis†an t from the point (7,1) and (3,5).
Answer» Find the relation between x and y such that the point (x,y) is equidis†an t from the point (7,1) and (3,5).

Discussion

7798.	Prove that the cube of any positive integer is in the for 3m,3m+2.
Answer» Prove that the cube of any positive integer is in the for 3m,3m+2.

Discussion

7799.	In a triangle ABC,the medians BE and CF intersect at G.Prove that ar(△ BCG)=ar(AFGE).
Answer» In a triangle ABC,the medians BE and CF intersect at G.Prove that $a r (△ B C G) = a r (A F G E)$ .

Discussion

7800.	If a+b+c=0 then (a3+b3+c3) is (a) 0 (b) abc (c) 2abc (d) 3abc
Answer» If a+b+c=0 then $(a^{3} + b^{3} + c^{3})$ is (a) 0 (b) abc (c) 2abc (d) 3abc

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following expressions are polynomials? (i) x2+4+y3 (ii) 4−x−1+z3 (iii) 2x2−2x

The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. What is the ratio of their volumes?The volume of the first cylinder is 720 cubic centimetres. What is the volume of the second?

In how many parts a chord divides a circle?

Which of the following are two irrational numbers between 5 and 6 ?

In a quadrilateral ABCD, show that(AB + BC + CD + DA)&lt;2(BD+AC.)

In a circle, a chord 3 centimetres away from the centre is 8 centimetres long. How long is a chord, 1.4 centimetres away from the centre in this circle?

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is(a) 4πr3(b) 83πr3(c) 2πr3(d) 8πr3

Question 9In figure X and Y are the mid - points of AC and AB respectively, QP || BC and CYQ and BXP are straight lines. Prove that ar(ΔABP)=ar(ΔACQ).

ABCD is a flower bed If OA = 21m and OC = 14m. Find the area of the bed in m2.

Question 65 (iv) How many vertices does the following solid have? Octagonal Pyramid

Ipsa bought a car which covers 363 km in 24.2 liters of petrol. One day, she has to go to airport but in her car there was only 7 liters of petrol, how far can she go?

A cricket team won two more matches than they lost. If they win they get 5 points and for loss − 3 points, how many matches have they played if their total score is 50.

Question 1 (i)A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:(i)The area of the sheet required for making the box.

If twice the value of a variable is equal to the sum of the squares of 17 and 19, find the value of the variable. ___

In each pair of triangles given below, parts shown by identical marks are congruent. State the test and the one to one correspondence of vertices by which triangles in each pair are congruent and remaining congruent parts.(1)(2) (3)

Give the equations of two lines passing through (2,14).How many more such lines are there and why.

In the given figures below, decide whether l is parallel to m.

40. If y=xsiny,then dy/dx in terms of x,cos and y=

In the given figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that(i) ar (ACB) = ar (ACF)(ii) ar (AEDF) = ar (ABCDE)

Verify whether the following are zeroes of the polynomial, indicated against them.(i) p(x) = 3x + 1, x = −13(ii) p(x)=5x−π,x=45(iii) p(x)=x2−1,x=1,−1(iv) p(x) = (x +1) (x -2), x = - 1, 2

From the timetable shown below, find the total duration of all the activities which happened after lunch. Activity Start time End time Morning walk 7:00 8:00 Breakfast 9:15 9:45 Lunch 12:30 13:00 Playing 17:30 18:45 Dinner 21:45 22:15

2tan30∘1+tan230∘=

How to find two irrational number between 0.12 and 0.13

cos4 A − sin4 A is equal to(a) 2 cos2 A + 1(b) 2 cos2 A − 1(c) 2 sin2 A − 1(d) 2 sin2 A + 1

The bisectors of the angle of a parallelogram enclose a

Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units.

What is the total length of the line shown below?

In the given figure, if D and E are the mid points of sides AB and AC, respectively, and DE is produced to F such that E is the mid point of FD, which of the following options is correct?

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show thatAP = CQ

Which is the largest of ?

Y = (xy+yz)2−2x2y2zWhen x=−1,y=1 and z=2, |Y| = ___

The diagonals of a rectangle ABCD meet at O. If ∠𝐵𝑂𝐶 = 44∘, find ∠𝑂𝐴𝐷.

Question 4(c) Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion: 2 kg : 80 kg and 25 g : 626 g

(3,–4) is not a solution of

If a set A has n elements, then the total number of subsets of A is

Draw a circle with centre at point O. Draw its two chords AB and CD such that AB is not parallel to CD. Draw the perpendicular bisectors of AB and CD. At what point do they intersect ?

Question 1 (vi) Find 211.02 × 4

The perimeter of an isosceles triangle is 13 cm. The side which is not equal to the other two sides has a length of 3 cm. What is the length of one of the sides which is equal?

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.(i) (ii) (iii)(iv) (v)

In Fig. 4, find the measure of arc ADC, if ∠OAB = 30° and ∠OCB = 50°.

(1/x) + (1/(y+z)) = 1/2, (1/y) + (1/(z+x)) = 1/3, (1/z) + (1/(x+y)) = 1/4Find x, y and z

x2-qx-p2+5pq-6q2 ans (x-p-2q)(x+p-3q)

If all the three angles of a triangle are equal, then each one of them is equal to

The following table shows the interest paid by a company (in lakhs): Year 1995-96 1996-97 1997-98 1998-99 1999-2000 Interest (in lakhs of rupees 20 25 15 18 30 Draw the bar graph to represent the above information.

The pq form of 10.5 is ______ , where p and q are co-primes and q≠0.

Question 7 (i)ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show thatD is the mid-point of AC.

Find the relation between x and y such that the point (x,y) is equidis†an t from the point (7,1) and (3,5).

Prove that the cube of any positive integer is in the for 3m,3m+2.

In a triangle ABC,the medians BE and CF intersect at G.Prove that ar(△ BCG)=ar(AFGE).

If a+b+c=0 then (a3+b3+c3) is (a) 0 (b) abc (c) 2abc (d) 3abc

In a quadrilateral ABCD, show that(AB + BC + CD + DA)<2(BD+AC.)