24740 + Interview Questions in Mathematics Page 12 InterviewSolution

551.	Bisectors of angles of a parallelogram form a
Answer» Bisectors of angles of a parallelogram form a

Discussion

552.	The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m, 15 m. The advertisements yield an earning of Rs 2000 per m2 a year. A company hired one of its walls for 6 months. How much rent did it pay ?
Answer» The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m, 15 m. The advertisements yield an earning of Rs 2000 per $m^{2}$ a year. A company hired one of its walls for 6 months. How much rent did it pay ?

Discussion

553.	Decimal expansion of 2 is(a) a finite decimal(b) 1.4121(c) non-terminating recurring(d) non-terminating, non-recurring
Answer» Decimal expansion of $\sqrt{2}$ is (a) a finite decimal (b) 1.4121 (c) non-terminating recurring (d) non-terminating, non-recurring

Discussion

554.	Assertion (A): IF the angle of elevation of an aeroplane from a point on the ground is 60∘. After 15 s, the angle of elevation changes to 30∘. If the aeroplane is flying at a constant height of 1500√3m, then speed of aeroplane is 200 m/s Reason: (R): Speed=DistanceTime Which of the following is true?
Answer» Assertion (A): IF the angle of elevation of an aeroplane from a point on the ground is $60^{\circ}$ . After 15 s, the angle of elevation changes to $30^{\circ}$ . If the aeroplane is flying at a constant height of $1500 \sqrt{3}$ m, then speed of aeroplane is 200 m/s Reason: (R): $S p e e d = \frac{D i s t a n c e}{T i m e}$ Which of the following is true?

Discussion

555.	The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?
Answer» The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m³ of air?

Discussion

556.	If the angle of a triangle is equal to the sum of other two show that triangle is a right triangle
Answer» If the angle of a triangle is equal to the sum of other two show that triangle is a right triangle

Discussion

557.	If (x51 + 51) is divided by (x + 1) then the remainder is(a) 0(b) 1(c) 49(d) 50
Answer» If (x⁵¹ + 51) is divided by (x + 1) then the remainder is (a) 0 (b) 1 (c) 49 (d) 50

Discussion

558.	Diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD.If AB = CD, then show that:(i) ar (△DOC) = ar (△AOB) (ii) ar (△DCB) = ar (△ACB) [4 MARKS]
Answer» Diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD.If AB = CD, then show that: (i) ar ( $△$ DOC) = ar ( $△$ AOB) (ii) ar ( $△$ DCB) = ar ( $△$ ACB) [4 MARKS]

558.

Diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD.If AB = CD, then show that:(i) ar (△DOC) = ar (△AOB) (ii) ar (△DCB) = ar (△ACB) [4 MARKS]

Answer»

Diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD.If AB = CD, then show that:

(i) ar ( $△$ DOC) = ar ( $△$ AOB) (ii) ar ( $△$ DCB) = ar ( $△$ ACB) [4 MARKS]

Discussion

559.	Factorisea3x3-3a2bx2+3ab2x-b3
Answer» Factorise $a^{3} x^{3} - 3 a^{2} b x^{2} + 3 a b^{2} x - b^{3}$

Discussion

560.	Question 100.25(4f−3)=0.05(10f−9)
Answer» Question 10 $0.25 (4 f - 3) = 0.05 (10 f - 9)$

Discussion

561.	Question 22√2 is a polynomial of degreeA) 2B) 0C) 1D) 12
Answer» Question 2 $2 \sqrt{2}$ is a polynomial of degree A) 2 B) 0 C) 1 D) $\frac{1}{2}$

Discussion

562.	What amount has been fixed by the World Bank as the minimum amount for defining the poverty line?
Answer» What amount has been fixed by the World Bank as the minimum amount for defining the poverty line?

Discussion

563.	Two adjacent side of a parallelogram are 74cm and 40cm and it's diagonal 102cm. Find its area.
Answer» Two adjacent side of a parallelogram are 74cm and 40cm and it's diagonal 102cm. Find its area.

Discussion

564.	In a ΔABC, D is mid point of AB, E is the mid point of DB and F is the mid point of BC. If the area of ΔABC is 96 cm², then the area of ΔAEF is(1) 16 cm²(2) 24 cm²(3) 32 cm²(4) 36 cm²
Answer» In a ΔABC, D is mid point of AB, E is the mid point of DB and F is the mid point of BC. If the area of ΔABC is 96 cm², then the area of ΔAEF is (1) 16 cm² (2) 24 cm² (3) 32 cm² (4) 36 cm²

Discussion

565.	AB and CD are the chords of a circle whose center is O. They intersect each other at P. If PO is the bisector of ∠APD, prove that AB = CD. [2 MARKS]
Answer» AB and CD are the chords of a circle whose center is O. They intersect each other at P. If PO is the bisector of $∠ A P D$ , prove that AB = CD. [2 MARKS]

565.

AB and CD are the chords of a circle whose center is O. They intersect each other at P. If PO is the bisector of ∠APD, prove that AB = CD. [2 MARKS]

Answer»

AB and CD are the chords of a circle whose center is O. They intersect each other at P. If PO is the bisector of $∠ A P D$ , prove that AB = CD. [2 MARKS]

Discussion

566.	The surface area of a sphere is 5544 cm2, find its diameter
Answer» The surface area of a sphere is 5544 cm², find its diameter

Discussion

567.	A solid consisting of a right circular cone, standing on a hemisphere, is placed upright, in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer to the nearest cm3 (Take π=227)__
Answer» A solid consisting of a right circular cone, standing on a hemisphere, is placed upright, in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer to the nearest $c m^{3}$ (Take $π = \frac{22}{7}$ ) __

Discussion

568.	Simplify the ratio √36:√9
Answer» Simplify the ratio $\sqrt{36} : \sqrt{9}$

Discussion

569.	An open box is made of wood 3 cm thick. Its external length, breadth and height are 1.48 m, 1.16 m and 8.3 dm. Find the cost of painting the inner surface of Rs 50 per sq. metre.
Answer» An open box is made of wood 3 cm thick. Its external length, breadth and height are 1.48 m, 1.16 m and 8.3 dm. Find the cost of painting the inner surface of Rs 50 per sq. metre.

Discussion

570.	Using the identites of algebriac expression , find the following :(i) 403×397(ii) 8.22(iii) 9.7×9.8(iv) 22.92−7.12
Answer» Using the identites of algebriac expression , find the following : $(i) 403 \times 397$ $(i i) {8.2}^{2}$ $(i i i) 9.7 \times 9.8$ $(i v) {22.9}^{2} - {7.1}^{2}$

Discussion

571.	(x-1)(2-x)^2(x-3)
Answer» (x-1)(2-x)^2(x-3)<0

Discussion

572.

The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes. Height (in cm): 124 to 128 128 to 132 132 to 136 136 to 140 140 to 144 144 to 148 148 to 152 152 to 156 156 to 160 160 to 164 No. of Children: 5 8 17 24 16 12 6 4 3 1

Answer» The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.

Height (in cm):	124 to 128	128 to 132	132 to 136	136 to 140	140 to 144	144 to 148	148 to 152	152 to 156	156 to 160	160 to 164
No. of Children:	5	8	17	24	16	12	6	4	3	1

Discussion

573.	The strength of a school is currently 2000. If its strength is estimated to increase by 10% next year, find its estimated new strength.
Answer» The strength of a school is currently 2000. If its strength is estimated to increase by 10% next year, find its estimated new strength.

Discussion

574.	Amit deposited Rs 800 per month in a Recurring Deposit Account for 1 year at the rate of 10% per annum. Find the amount Amit will get on maturity. [4 MARKS]
Answer» Amit deposited Rs 800 per month in a Recurring Deposit Account for 1 year at the rate of 10% per annum. Find the amount Amit will get on maturity. [4 MARKS]

Discussion

575.	This question consists of two statements,namely,Assertion (A) and Reason (R).For selecting the correct answer,use the following code: (a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A). (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A). The correct answer is :(a) /(b) /(c) /(d)
Answer» This question consists of two statements,namely,Assertion (A) and Reason (R).For selecting the correct answer,use the following code: (a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A). (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A). The correct answer is :(a) /(b) /(c) /(d)

575.

This question consists of two statements,namely,Assertion (A) and Reason (R).For selecting the correct answer,use the following code: (a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A). (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A). The correct answer is :(a) /(b) /(c) /(d)

Answer»

This question consists of two statements,namely,Assertion (A) and Reason (R).For selecting the correct answer,use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

The correct answer is :(a) /(b) /(c) /(d)

Discussion

576.	A right circular cylinder just encloses a sphere of radius a cm, then the curved surface area of the cylinder is:
Answer» A right circular cylinder just encloses a sphere of radius a cm, then the curved surface area of the cylinder is:

Discussion

577.	A plane left 30 minutes later than the schedule time and in order to reach its destination 1500 km away in time it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed. [4 MARKS]
Answer» A plane left 30 minutes later than the schedule time and in order to reach its destination 1500 km away in time it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed. [4 MARKS]

Discussion

578.	Factorise a6−7a3−8.
Answer» Factorise $a^{6} - 7 a^{3} - 8.$

Discussion

579.	Give an example each, of two irrational numbers, whose(i) difference is a rational number.
Answer» Give an example each, of two irrational numbers, whose (i) difference is a rational number.

Discussion

580.	How Delta t/t=DeltaT/T?
Answer» How Delta t/t=DeltaT/T?

Discussion

581.	Question 8If APB and COD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form(A) a square(B) a rhombus(C) a rectangle(D) any other parallelogram
Answer» Question 8 If APB and COD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form (A) a square (B) a rhombus (C) a rectangle (D) any other parallelogram

Discussion

582.	Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on land and produce different crops to suffice the needs of their family. She divided the land in two equal parts. If the perimeter of the land is 400 m and one of the diagonals is 160 m, the area of each part is
Answer» Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on land and produce different crops to suffice the needs of their family. She divided the land in two equal parts. If the perimeter of the land is $400 m$ and one of the diagonals is $160 m$ , the area of each part is

Discussion

583.	Which of the following is irrational?
Answer» Which of the following is irrational?

Discussion

584.	Question 3 (c) In the following figures, the mirror line (i.e the line of symmetry) is given as a dotted line . Complete each figure performing reflection in the dotted (mirror) line. (you might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?
Answer» Question 3 (c) In the following figures, the mirror line (i.e the line of symmetry) is given as a dotted line . Complete each figure performing reflection in the dotted (mirror) line. (you might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

Discussion

585.	In a rhombus ABCD, if ∠ACB=40∘, then ∠ADB=
Answer» In a rhombus ABCD, if $∠ A C B = 40^{\circ}$ , then $∠ A D B =$

Discussion

586.	Find the area of triangle whose base is 4 cm long and the height corresponding to the base measures 12 cm.
Answer» Find the area of triangle whose base is 4 cm long and the height corresponding to the base measures 12 cm.

Discussion

587.	Write the following rational numbers in pq formi 0.6° ii 0.37¯ iii 3.17¯ iv 15.89¯ v 2.514¯
Answer» Write the following rational numbers in $\frac{p}{q}$ form $(i) 0 . 6^{°} (ii) 0 . \bar{37} (iii) 3 . \bar{17} (iv) 15 . \bar{89} (v) 2 . \bar{514}$

Discussion

588.	125x3 − 27y3 − 225x2y + 135xy2
Answer» 125x³ − 27y³ − 225x²y + 135xy²

Discussion

589.	if the HCF of 79 and 97 is expressible in the form 97h-79m,then value of m-n is options 1 2 3
Answer» if the HCF of 79 and 97 is expressible in the form 97h-79m,then value of m-n is options 1 2 3

Discussion

590.	Find the value of x for which the angles (2x – 5)° and (x – 10)° are the complementary angles.
Answer» Find the value of x for which the angles (2x – 5)° and (x – 10)° are the complementary angles.

Discussion

591.	A man borrow RS.6000 at 5% C.I. per annum. If he repays RS.1200 at end of each year, find the amount of the loan outstanding at the beginning of the third year.
Answer» A man borrow RS.6000 at 5% C.I. per annum. If he repays RS.1200 at end of each year, find the amount of the loan outstanding at the beginning of the third year.

Discussion

592.	A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is(a) 3 : 5(b) 2 : 5(c) 3 : 1(d) 1 : 3
Answer» A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is (a) 3 : 5 (b) 2 : 5 (c) 3 : 1 (d) 1 : 3

Discussion

593.	Which of the following is a constant polynomial?
Answer» Which of the following is a constant polynomial?

Discussion

594.	Mark the correct alternative in each of the following:In a cylinder, if radius is doubled and height is halved, curved surface area will be(a) halved(b) doubled(c) same(d) four times
Answer» Mark the correct alternative in each of the following: In a cylinder, if radius is doubled and height is halved, curved surface area will be (a) halved (b) doubled (c) same (d) four times

Discussion

595.	Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed.
Answer» Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed.

Discussion

596.	∫(2−3x)3dx is equal to(where C is the constant of integration)
Answer» $\int (2 - 3 x)^{3} d x$ is equal to (where $C$ is the constant of integration)

Discussion

597.	P and Q are the mid – points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects DP at S and BQ intersects CP at R. Show that PRQS is a parallelogram.
Answer» P and Q are the mid – points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects DP at S and BQ intersects CP at R. Show that PRQS is a parallelogram.

Discussion

598.	Which mathematical operator would make the irrational numbers, √5+√6 and √6−√5, rational?
Answer» Which mathematical operator would make the irrational numbers, $\sqrt{5} + \sqrt{6}$ and $\sqrt{6} - \sqrt{5}$ , rational?

Discussion

599.	The value of ∣∣∣∣0p−qp−rq−p0q−rr−pr−q0∣∣∣∣ is equal to
Answer» The value of $∣ ∣∣ ∣ \begin{matrix} 0 & p - q & p - r q - p & 0 & q - r r - p & r - q & 0 \end{matrix} ∣ ∣∣ ∣$ is equal to

Discussion

600.	Question 1Show that in a right angled triangle, the hypotenuse is the longest side.
Answer» Question 1 Show that in a right angled triangle, the hypotenuse is the longest side.

Discussion

Explore topic-wise InterviewSolutions in .

Bisectors of angles of a parallelogram form a

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m, 15 m. The advertisements yield an earning of Rs 2000 per m2 a year. A company hired one of its walls for 6 months. How much rent did it pay ?

Decimal expansion of 2 is(a) a finite decimal(b) 1.4121(c) non-terminating recurring(d) non-terminating, non-recurring

The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?

If the angle of a triangle is equal to the sum of other two show that triangle is a right triangle

If (x51 + 51) is divided by (x + 1) then the remainder is(a) 0(b) 1(c) 49(d) 50

Diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD.If AB = CD, then show that:(i) ar (△DOC) = ar (△AOB) (ii) ar (△DCB) = ar (△ACB) [4 MARKS]

Factorisea3x3-3a2bx2+3ab2x-b3

Question 100.25(4f−3)=0.05(10f−9)

Question 22√2 is a polynomial of degreeA) 2B) 0C) 1D) 12

What amount has been fixed by the World Bank as the minimum amount for defining the poverty line?

Two adjacent side of a parallelogram are 74cm and 40cm and it's diagonal 102cm. Find its area.

In a ΔABC, D is mid point of AB, E is the mid point of DB and F is the mid point of BC. If the area of ΔABC is 96 cm², then the area of ΔAEF is(1) 16 cm²(2) 24 cm²(3) 32 cm²(4) 36 cm²

AB and CD are the chords of a circle whose center is O. They intersect each other at P. If PO is the bisector of ∠APD, prove that AB = CD. [2 MARKS]

The surface area of a sphere is 5544 cm2, find its diameter

Simplify the ratio √36:√9

An open box is made of wood 3 cm thick. Its external length, breadth and height are 1.48 m, 1.16 m and 8.3 dm. Find the cost of painting the inner surface of Rs 50 per sq. metre.

Using the identites of algebriac expression , find the following :(i) 403×397(ii) 8.22(iii) 9.7×9.8(iv) 22.92−7.12

(x-1)(2-x)^2(x-3)

The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes. Height (in cm): 124 to 128 128 to 132 132 to 136 136 to 140 140 to 144 144 to 148 148 to 152 152 to 156 156 to 160 160 to 164 No. of Children: 5 8 17 24 16 12 6 4 3 1

The strength of a school is currently 2000. If its strength is estimated to increase by 10% next year, find its estimated new strength.

Amit deposited Rs 800 per month in a Recurring Deposit Account for 1 year at the rate of 10% per annum. Find the amount Amit will get on maturity. [4 MARKS]

A right circular cylinder just encloses a sphere of radius a cm, then the curved surface area of the cylinder is:

A plane left 30 minutes later than the schedule time and in order to reach its destination 1500 km away in time it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed. [4 MARKS]

Factorise a6−7a3−8.

Give an example each, of two irrational numbers, whose(i) difference is a rational number.

How Delta t/t=DeltaT/T?

Question 8If APB and COD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form(A) a square(B) a rhombus(C) a rectangle(D) any other parallelogram

Which of the following is irrational?

In a rhombus ABCD, if ∠ACB=40∘, then ∠ADB=

Find the area of triangle whose base is 4 cm long and the height corresponding to the base measures 12 cm.

Write the following rational numbers in pq formi 0.6° ii 0.37¯ iii 3.17¯ iv 15.89¯ v 2.514¯

125x3 − 27y3 − 225x2y + 135xy2

if the HCF of 79 and 97 is expressible in the form 97h-79m,then value of m-n is options 1 2 3

Find the value of x for which the angles (2x – 5)° and (x – 10)° are the complementary angles.

A man borrow RS.6000 at 5% C.I. per annum. If he repays RS.1200 at end of each year, find the amount of the loan outstanding at the beginning of the third year.

A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is(a) 3 : 5(b) 2 : 5(c) 3 : 1(d) 1 : 3

Which of the following is a constant polynomial?

Mark the correct alternative in each of the following:In a cylinder, if radius is doubled and height is halved, curved surface area will be(a) halved(b) doubled(c) same(d) four times

Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed.

∫(2−3x)3dx is equal to(where C is the constant of integration)

P and Q are the mid – points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects DP at S and BQ intersects CP at R. Show that PRQS is a parallelogram.

Which mathematical operator would make the irrational numbers, √5+√6 and √6−√5, rational?

The value of ∣∣∣∣0p−qp−rq−p0q−rr−pr−q0∣∣∣∣ is equal to

Question 1Show that in a right angled triangle, the hypotenuse is the longest side.