32581 + Interview Questions in Mathematics Page 268 InterviewSolution

13351.	Find the sum to n terms of the AP:5, 2, -1, -4, -7, ...
Answer» Find the sum to $n$ terms of the AP: 5, 2, -1, -4, -7, ...

Discussion

13352.	The students of a class are made to be stand in a row. If 3 students are extra in a row, then there would be 1 row less. If 3 students are less in a row there would be 2 more rows. Find the number of students in the class
Answer» The students of a class are made to be stand in a row. If 3 students are extra in a row, then there would be 1 row less. If 3 students are less in a row there would be 2 more rows. Find the number of students in the class

Discussion

13353.	5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from outside. If a glass is chosen at random, what is the probability that the chosen glass is good?0.8
Answer» 5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from outside. If a glass is chosen at random, what is the probability that the chosen glass is good? 0.8

Discussion

13354.	In △ABC , right angled at B, BC = 6 cm and ∠ABC = 30∘. Determine the length of the side AB and AC.
Answer» In $△ A B C$ , right angled at B, BC = 6 cm and ∠ABC = $30^{\circ}$ . Determine the length of the side AB and AC.

Discussion

13355.	If a certain missile will hit the target once out of four times and four such missiles are fired at the same target, then what is the probability that the target be hit atleast once?
Answer» If a certain missile will hit the target once out of four times and four such missiles are fired at the same target, then what is the probability that the target be hit atleast once?

Discussion

13356.	Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). How much tarpaulin would be required to make the shelter if height is 2.5 m and dimensions of the base are 4 m×3 m?
Answer» Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). How much tarpaulin would be required to make the shelter if height is $2.5 m$ and dimensions of the base are $4 m \times 3 m ?$

Discussion

13357.	The angle of elevation of an aeroplane from a point on the ground is 45°. After a flight of 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 3000 metres, find the speed of the aeroplane.
Answer» The angle of elevation of an aeroplane from a point on the ground is 45°. After a flight of 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 3000 metres, find the speed of the aeroplane.

Discussion

13358.	0.8+0.¯7+0.4¯3= .
Answer» $0.8 + 0. ¯ 7 + 0.4 ¯ 3 =$ .

Discussion

13359.	Question 7AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD are diameters; (ii) ABCD is a rectangle.
Answer» Question 7 AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD are diameters; (ii) ABCD is a rectangle.

Discussion

13360.	_____th term of the AP 3, 8, 13, 18, . . . , is 78.
Answer» _____th term of the AP 3, 8, 13, 18, . . . , is 78.

Discussion

13361.	A big cube is made of few small unit cubes. If the edge along the height of the big cube is shared by 4 unit cubes, what is the volume of the big cube?
Answer» A big cube is made of few small unit cubes. If the edge along the height of the big cube is shared by 4 unit cubes, what is the volume of the big cube?

Discussion

13362.	If the polynomial (x2 + 5x + k) divides 4x4 + 20x3 – 97x2 – 5x + 24 completely, then the value of k must be equal
Answer» If the polynomial (x2 + 5x + k) divides 4x4 + 20x3 – 97x2 – 5x + 24 completely, then the value of k must be equal

Discussion

13363.	Question 1 (ix)Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficient of the polynomials(ix) y2+32√5y−5
Answer» Question 1 (ix) Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficient of the polynomials (ix) $y^{2} + \frac{3}{2} \sqrt{5} y - 5$

Discussion

13364.	picture of the major groove and minor groove
Answer» picture of the major groove and minor groove

Discussion

13365.	Question 8 (i)The distance (in km) of 40 engineers from their residence to their place of work were found as follows.5310202511137123119101217181132171627978351215183121429615157612What is the empirical probability that an engineer lives:(i) less than 7 km from her place of work?
Answer» Question 8 (i) The distance (in km) of 40 engineers from their residence to their place of work were found as follows. $\begin{matrix} 5 & 3 & 10 & 20 & 25 & 11 & 13 & 7 & 12 & 31 19 & 10 & 12 & 17 & 18 & 11 & 32 & 17 & 16 & 2 7 & 9 & 7 & 8 & 3 & 5 & 12 & 15 & 18 & 3 12 & 14 & 2 & 9 & 6 & 15 & 15 & 7 & 6 & 12 \end{matrix}$ What is the empirical probability that an engineer lives: (i) less than 7 km from her place of work?

Discussion

13366.	From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter as that of cylinder is hollowed out. Find the total surface area of the remaining solid. (Use π=227)
Answer» From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter as that of cylinder is hollowed out. Find the total surface area of the remaining solid. $(U s e π = \frac{22}{7})$

Discussion

13367.	A man purchased 47 stamps of 20 p and 25 p for ₹10. Find the number of each type of stamps.
Answer» A man purchased 47 stamps of 20 p and 25 p for ₹10. Find the number of each type of stamps.

Discussion

13368.	how to identify a Y- linked pedigree?
Answer» how to identify a Y- linked pedigree?

Discussion

13369.	The height of a cone is 40 cm. A small cone is cut off at the top by a plane parallel to the base. If the volume of the small cone be 164 of the volume of the given cone, at what height ( in cm) above the base is the section made ?
Answer» The height of a cone is 40 cm. A small cone is cut off at the top by a plane parallel to the base. If the volume of the small cone be $\frac{1}{64}$ of the volume of the given cone, at what height ( in cm) above the base is the section made ?

Discussion

13370.	A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cones formed. [CBSE 2014]
Answer» A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cones formed. [CBSE 2014]

Discussion

13371.	4x3+x2+5x+8 = (x+1) × .
Answer» $4 x^{3} + x^{2} + 5 x + 8$ = $(x + 1)$ $\times$ .

Discussion

13372.	Prove that following numbers are irrationals:(i) 27(ii) 325(iii) 4+2(iv) 52
Answer» Prove that following numbers are irrationals: (i) $\frac{2}{\sqrt{7}}$ (ii) $\frac{3}{2 \sqrt{5}}$ (iii) $4 + \sqrt{2}$ (iv) $5 \sqrt{2}$

Discussion

13373.	Which of the following number line represents the solution of the inequation: x+2>3; x∈N?
Answer» Which of the following number line represents the solution of the inequation: $x + 2 > 3; x \in N$ ?

Discussion

13374.	Find the distance (units) between points A(-1, 4) and B(7, -2).10
Answer» Find the distance (units) between points A(-1, 4) and B(7, -2). 10

Discussion

13375.	In the given figure, ∠ABC = 45∘ , then ∠AOC = _________.
Answer» In the given figure, ∠ABC = 45^∘ , then ∠AOC = _________.

Discussion

13376.	How to find tan 53 without remembering any values like cos 37 or sin 37
Answer» How to find tan 53 without remembering any values like cos 37 or sin 37

Discussion

13377.	A circle of radius r has a centre O. What is first step to construct a tangent from a generic point P which is at a distance r from O?
Answer» A circle of radius r has a centre O. What is first step to construct a tangent from a generic point P which is at a distance r from O?

Discussion

13378.	PQR is a triangular park with PQ=PR=200 m. A T.V. tower stands at the mid-point of QR. If the angles of elevation of the top of the tower at P,Q and R are respectively 45∘,30∘ and 30∘, then the height of the tower (in m) is:
Answer» $P Q R$ is a triangular park with $P Q = P R = 200$ m. A T.V. tower stands at the mid-point of $Q R$ . If the angles of elevation of the top of the tower at $P, Q$ and $R$ are respectively $45^{\circ}, 30^{\circ}$ and $30^{\circ}$ , then the height of the tower (in m) is:

Discussion

13379.	Volume of a cone is 550 cm3 and diameter is 10 cm. Find the height of the cone.
Answer» Volume of a cone is 550 cm³ and diameter is 10 cm. Find the height of the cone.

Discussion

13380.	Question 5Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.
Answer» Question 5 Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

Discussion

13381.	explain cardiac cycle in brief
Answer» explain cardiac cycle in brief

Discussion

13382.	Question 92 (xv)Factorise the following using the identity a2−b2=(a+b)(a−b).x3y9−xy316
Answer» Question 92 (xv) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $\frac{x^{3} y}{9} - \frac{x y^{3}}{16}$

13382.

Question 92 (xv)Factorise the following using the identity a2−b2=(a+b)(a−b).x3y9−xy316

Answer»

Question 92 (xv)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$\frac{x^{3} y}{9} - \frac{x y^{3}}{16}$

Discussion

13383.	The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into a smaller sphere of diameter 3.5 cm. How many can such spheres be obtained?
Answer» The surface area of a solid metallic sphere is $616 c m^{2}$ . It is melted and recast into a smaller sphere of diameter 3.5 cm. How many can such spheres be obtained?

Discussion

13384.	Question 12If the mean of the observations x, x+3, x+5, x+7 and x+10 is 9, then mean of the last three observation is:A) 1013B) 1023C) 1113D) 1123
Answer» Question 12 If the mean of the observations x, x+3, x+5, x+7 and x+10 is 9, then mean of the last three observation is: A) $10 \frac{1}{3}$ B) $10 \frac{2}{3}$ C) $11 \frac{1}{3}$ D) $11 \frac{2}{3}$

Discussion

13385.	X––Mn7+2+Y––O2−7→Z––Mn4++A––O2 X,Y,Z and A are stoichiometric coefficients. Here, X,Y,Z and A are respectively
Answer» $X - - M n_{2}^{7 +} + Y - - O_{7}^{2 -} \to Z - - M n^{4 +} + A - - O_{2}$ X,Y,Z and A are stoichiometric coefficients. Here, X,Y,Z and A are respectively

Discussion

13386.	Solve the inequation 5(x-2) > 4 (x + 3) -24 and represent it solution on a number line. Given the replacement set is {-4, -3, -2, -1, 0,1,2,3,4}.
Answer» Solve the inequation 5(x-2) > 4 (x + 3) -24 and represent it solution on a number line. Given the replacement set is {-4, -3, -2, -1, 0,1,2,3,4}.

Discussion

13387.	if tan theta = -4/3 then sin theta is equal to ?
Answer» if tan theta = -4/3 then sin theta is equal to ?

Discussion

13388.	Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice should she prepare?
Answer» Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice should she prepare?

Discussion

13389.	Given the angles of a triangle is in the ratio of 1:1: 4. Find the ratio of the perimeter of the triangle to the maximum length of the side of given triangle.
Answer» Given the angles of a triangle is in the ratio of 1:1: 4. Find the ratio of the perimeter of the triangle to the maximum length of the side of given triangle.

Discussion

13390.	a path all around the inside of a rectangular park 37 m by 30 m occupies an area of 570 m sq. Find the width of park
Answer» a path all around the inside of a rectangular park 37 m by 30 m occupies an area of 570 m sq. Find the width of park

Discussion

13391.	On 1st April, 2017 , A , B and C commenced business in partnership sharing profits and losses in proportion of 1/2,1/3 and 1/6 respectively . They paid into their Bank A/c as their capitals ₹ 22,000; ₹ 10,000 by A , ₹ 7,000 by B and ₹ 5,000 by C . During the year , they drew ₹ 5,000; being ₹ 1,900 by A, ₹ 1,700 by B and ₹ 1,400 by C .On 31st March, 2018, they dissolved their partnership , A taking up Stock at an agreed valuation of ₹ 5,000, B taking up Furniture at ₹ 2,000 and C taking up Debtors at ₹ 3,000. After paying up their Creditors, there remained a balance of ₹ 1,000 at Bank. Prepare necessary accounts showing the distribution of the cash at the Bank and of the further cash brought in by any partner or partners as the case required.
Answer» On 1st April, 2017 , A , B and C commenced business in partnership sharing profits and losses in proportion of 1/2,1/3 and 1/6 respectively . They paid into their Bank A/c as their capitals ₹ 22,000; ₹ 10,000 by A , ₹ 7,000 by B and ₹ 5,000 by C . During the year , they drew ₹ 5,000; being ₹ 1,900 by A, ₹ 1,700 by B and ₹ 1,400 by C . On 31st March, 2018, they dissolved their partnership , A taking up Stock at an agreed valuation of ₹ 5,000, B taking up Furniture at ₹ 2,000 and C taking up Debtors at ₹ 3,000. After paying up their Creditors, there remained a balance of ₹ 1,000 at Bank. Prepare necessary accounts showing the distribution of the cash at the Bank and of the further cash brought in by any partner or partners as the case required.

Discussion

13392.	are the factors of the polynomial x2+2x−8.
Answer» are the factors of the polynomial $x^{2} + 2 x - 8$ .

Discussion

13393.	The sum of the squares of two numbers is 233 and one of the number is 3 less than twice the other number. Find the numbers.
Answer» The sum of the squares of two numbers is 233 and one of the number is 3 less than twice the other number. Find the numbers.

Discussion

13394.	secx+tanx=?option 1) tan(π/4+x/2)2)tan(π/4-x/2)3) tan(x/2)4) tan(x/4)
Answer» secx+tanx=? option 1) tan(π/4+x/2) 2)tan(π/4-x/2) 3) tan(x/2) 4) tan(x/4)

Discussion

13395.	Question 15A pole 6m high casts a shadow 2√3 m long on the ground, then the Sun’s elevation is(A) 60∘(B) 45∘(C) 30∘(D) 90∘
Answer» Question 15 A pole 6m high casts a shadow $2 \sqrt{3} m$ long on the ground, then the Sun’s elevation is (A) $60^{\circ}$ (B) $45^{\circ}$ (C) $30^{\circ}$ (D) $90^{\circ}$

Discussion

13396.	Prove that √7 is an irrational number.
Answer» Prove that $\sqrt 7$ is an irrational number.

Discussion

13397.	The value of c for which the equation ax2 + 2bx + c = 0 has equal roots is(a) b2a(b) b24a(c) a2b(d) a24b
Answer» The value of c for which the equation ax² + 2bx + c = 0 has equal roots is (a) $\frac{b^{2}}{a}$ (b) $\frac{b^{2}}{4 a}$ (c) $\frac{a^{2}}{b}$ (d) $\frac{a^{2}}{4 b}$

Discussion

13398.	Mark the point on y-axis at a distance of four units in the negative direction of y-axis.
Answer» Mark the point on y-axis at a distance of four units in the negative direction of y-axis.

Discussion

13399.	If 3cos - 4sin = 2cos + sin , Find the value of sin + tan.
Answer» If 3cos - 4sin = 2cos + sin , Find the value of sin + tan.

Discussion

13400.	Moneyplus company issued 2,50,000 Equity Shares of ₹ 10 each to public. All amounts have been received in lump sum. Pass necessary Journal entries in the books of the company.
Answer» Moneyplus company issued 2,50,000 Equity Shares of ₹ 10 each to public. All amounts have been received in lump sum. Pass necessary Journal entries in the books of the company.

Discussion

Explore topic-wise InterviewSolutions in .

Find the sum to n terms of the AP:5, 2, -1, -4, -7, ...

The students of a class are made to be stand in a row. If 3 students are extra in a row, then there would be 1 row less. If 3 students are less in a row there would be 2 more rows. Find the number of students in the class

5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from outside. If a glass is chosen at random, what is the probability that the chosen glass is good?0.8

In △ABC , right angled at B, BC = 6 cm and ∠ABC = 30∘. Determine the length of the side AB and AC.

If a certain missile will hit the target once out of four times and four such missiles are fired at the same target, then what is the probability that the target be hit atleast once?

The angle of elevation of an aeroplane from a point on the ground is 45°. After a flight of 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 3000 metres, find the speed of the aeroplane.

0.8+0.¯7+0.4¯3= .

Question 7AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD are diameters; (ii) ABCD is a rectangle.

_____th term of the AP 3, 8, 13, 18, . . . , is 78.

A big cube is made of few small unit cubes. If the edge along the height of the big cube is shared by 4 unit cubes, what is the volume of the big cube?

If the polynomial (x2 + 5x + k) divides 4x4 + 20x3 – 97x2 – 5x + 24 completely, then the value of k must be equal

Question 1 (ix)Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficient of the polynomials(ix) y2+32√5y−5

picture of the major groove and minor groove

Question 8 (i)The distance (in km) of 40 engineers from their residence to their place of work were found as follows.5310202511137123119101217181132171627978351215183121429615157612What is the empirical probability that an engineer lives:(i) less than 7 km from her place of work?

From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter as that of cylinder is hollowed out. Find the total surface area of the remaining solid. (Use π=227)

A man purchased 47 stamps of 20 p and 25 p for ₹10. Find the number of each type of stamps.

how to identify a Y- linked pedigree?

The height of a cone is 40 cm. A small cone is cut off at the top by a plane parallel to the base. If the volume of the small cone be 164 of the volume of the given cone, at what height ( in cm) above the base is the section made ?

A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cones formed. [CBSE 2014]

4x3+x2+5x+8 = (x+1) × .

Prove that following numbers are irrationals:(i) 27(ii) 325(iii) 4+2(iv) 52

Which of the following number line represents the solution of the inequation: x+2&gt;3; x∈N?

Find the distance (units) between points A(-1, 4) and B(7, -2).10

In the given figure, ∠ABC = 45∘ , then ∠AOC = _________.

How to find tan 53 without remembering any values like cos 37 or sin 37

A circle of radius r has a centre O. What is first step to construct a tangent from a generic point P which is at a distance r from O?

PQR is a triangular park with PQ=PR=200 m. A T.V. tower stands at the mid-point of QR. If the angles of elevation of the top of the tower at P,Q and R are respectively 45∘,30∘ and 30∘, then the height of the tower (in m) is:

Volume of a cone is 550 cm3 and diameter is 10 cm. Find the height of the cone.

Question 5Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

explain cardiac cycle in brief

Question 92 (xv)Factorise the following using the identity a2−b2=(a+b)(a−b).x3y9−xy316

The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into a smaller sphere of diameter 3.5 cm. How many can such spheres be obtained?

Question 12If the mean of the observations x, x+3, x+5, x+7 and x+10 is 9, then mean of the last three observation is:A) 1013B) 1023C) 1113D) ​​​​​​​1123​​​​​​​

X––Mn7+2+Y––O2−7→Z––Mn4++A––O2 X,Y,Z and A are stoichiometric coefficients. Here, X,Y,Z and A are respectively

Solve the inequation 5(x-2) &gt; 4 (x + 3) -24 and represent it solution on a number line. Given the replacement set is {-4, -3, -2, -1, 0,1,2,3,4}.

if tan theta = -4/3 then sin theta is equal to ?

Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice should she prepare?

Given the angles of a triangle is in the ratio of 1:1: 4. Find the ratio of the perimeter of the triangle to the maximum length of the side of given triangle.

a path all around the inside of a rectangular park 37 m by 30 m occupies an area of 570 m sq. Find the width of park

are the factors of the polynomial x2+2x−8.

The sum of the squares of two numbers is 233 and one of the number is 3 less than twice the other number. Find the numbers.

secx+tanx=?option 1) tan(π/4+x/2)2)tan(π/4-x/2)3) tan(x/2)4) tan(x/4)

Question 15A pole 6m high casts a shadow 2√3 m long on the ground, then the Sun’s elevation is(A) 60∘(B) 45∘(C) 30∘(D) 90∘

Prove that √7 is an irrational number.

The value of c for which the equation ax2 + 2bx + c = 0 has equal roots is(a) b2a(b) b24a(c) a2b(d) a24b

Mark the point on y-axis at a distance of four units in the negative direction of y-axis.

If 3cos - 4sin = 2cos + sin , Find the value of sin + tan.

Moneyplus company issued 2,50,000 Equity Shares of ₹ 10 each to public. All amounts have been received in lump sum. Pass necessary Journal entries in the books of the company.

Which of the following number line represents the solution of the inequation: x+2>3; x∈N?

Question 12If the mean of the observations x, x+3, x+5, x+7 and x+10 is 9, then mean of the last three observation is:A) 1013B) 1023C) 1113D) 1123

Solve the inequation 5(x-2) > 4 (x + 3) -24 and represent it solution on a number line. Given the replacement set is {-4, -3, -2, -1, 0,1,2,3,4}.