25365 + Interview Questions in Mathematics Page 217 InterviewSolution

10801.	Factorise: z2+12z+27
Answer» Factorise: $z^{2} + 12 z + 27$

Discussion

10802.	If x and y vary directly,y1 = x2 = 5 and y2 = y1 + 10,then what is the value of x1?
Answer» $If x and y vary directly,$ $y_{1} = x_{2} = 5 and y_{2} = y_{1} + 10, then what is the value of x_{1} ?$

Discussion

10803.	In the given figure, it is given that O is the centre of the circle and ∠AOC = 150°. Find ∠ABC.
Answer» In the given figure, it is given that O is the centre of the circle and ∠AOC = 150°. Find ∠ABC.

Discussion

10804.	Question 13 A solid that has two opposite identical faces and other faces as parallelograms is a a) Prism b) Pyramid c) Cone d) Sphere
Answer» Question 13 A solid that has two opposite identical faces and other faces as parallelograms is a a) Prism b) Pyramid c) Cone d) Sphere

10804.

Question 13 A solid that has two opposite identical faces and other faces as parallelograms is a a) Prism b) Pyramid c) Cone d) Sphere

Answer»

Question 13
A solid that has two opposite identical faces and other faces as parallelograms is a

a) Prism

b) Pyramid

c) Cone

d) Sphere

Discussion

10805.	When the contents of a cuboid of dimension 20 cm × 10 cm × 5 cm, which is filled to the brim, are poured into a cube, it gets filled to full capacity. Then edge of the cube must be ______ cm.
Answer» When the contents of a cuboid of dimension 20 cm × 10 cm × 5 cm, which is filled to the brim, are poured into a cube, it gets filled to full capacity. Then edge of the cube must be ______ cm.

10805.

When the contents of a cuboid of dimension 20 cm × 10 cm × 5 cm, which is filled to the brim, are poured into a cube, it gets filled to full capacity. Then edge of the cube must be ______ cm.

Answer»

When the contents of a cuboid of dimension 20 cm × 10 cm × 5 cm, which is filled to the brim, are poured into a cube, it gets filled to full capacity. Then edge of the cube must be ______ cm.

Discussion

10806.	Question 3(ii)You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 12167
Answer» Question 3(ii) You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 12167

Discussion

10807.	The shortest distance between two parallel chords of length 32 units and 24 units of circle having radius 20 units is units
Answer» The shortest distance between two parallel chords of length 32 units and 24 units of circle having radius 20 units is units

Discussion

10808.	Evaluate using factors 4012×400−4003
Answer» Evaluate using factors $401^{2} \times 400 - 400^{3}$

Discussion

10809.	Quadrilateral ABCD is having all its angles equal, and its diagonals bisect each other at 90∘. Also, its diagonals are equal in length. What type of quadrilateral is ABCD?
Answer» Quadrilateral ABCD is having all its angles equal, and its diagonals bisect each other at $90^{\circ}$ . Also, its diagonals are equal in length. What type of quadrilateral is ABCD?

Discussion

10810.	25. Find the cube root of 4741632 by estimation.
Answer» 25. Find the cube root of 4741632 by estimation.

Discussion

10811.	Consider the right angled triangle given below: Which of the following statments is/are true? (h = hypotenuse, a and b are the perpendicular sides)
Answer» Consider the right angled triangle given below: Which of the following statments is/are true? (h = hypotenuse, a and b are the perpendicular sides)

10811.

Consider the right angled triangle given below: Which of the following statments is/are true? (h = hypotenuse, a and b are the perpendicular sides)

Answer»

Consider the right angled triangle given below: Which of the following statments is/are true?

(h = hypotenuse, a and b are the perpendicular sides)

Discussion

10812.	Numerator of a fraction is 1 more than the denominator. If 2 is added both to the Numerator and denominator, the fraction obtained is 54. Find the fraction.
Answer» Numerator of a fraction is 1 more than the denominator. If 2 is added both to the Numerator and denominator, the fraction obtained is $\frac{5}{4}$ . Find the fraction.

Discussion

10813.	If the exterior angles of a triangle are in the ratio 4:5:6, find the ratio of the angles of the triangle.
Answer» If the exterior angles of a triangle are in the ratio $4 : 5 : 6,$ find the ratio of the angles of the triangle.

Discussion

10814.	Question 92 (xxviii) Factorise the following using the identity a2−b2=(a+b)(a−b). x4−y4+x2−y2
Answer» Question 92 (xxviii) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $x^{4} - y^{4} + x^{2} - y^{2}$

10814.

Question 92 (xxviii) Factorise the following using the identity a2−b2=(a+b)(a−b). x4−y4+x2−y2

Answer»

Question 92 (xxviii)

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

$x^{4} - y^{4} + x^{2} - y^{2}$

Discussion

10815.	Question 3(c)Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.p - 5 = 5 (0, 10, 5, -5)
Answer» Question 3(c) Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. p - 5 = 5 (0, 10, 5, -5)

10815.

Question 3(c)Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.p - 5 = 5 (0, 10, 5, -5)

Answer»

Question 3(c)

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

p - 5 = 5 (0, 10, 5, -5)

Discussion

10816.	Four years ago fathers age was 6 times that of his son. Twelvw years from now, fathers age will be twice that of his son. What is the ratio of the father and sons ages?
Answer» Four years ago fathers age was 6 times that of his son. Twelvw years from now, fathers age will be twice that of his son. What is the ratio of the father and sons ages?

Discussion

10817.	Question 4(iv)Find the multiplicative inverse of the following:−58×−37
Answer» Question 4(iv) Find the multiplicative inverse of the following: $\frac{- 5}{8} \times \frac{- 3}{7}$

Discussion

10818.	A perimeter is a path around a closed ___ dimensional shape.
Answer» A perimeter is a path around a closed ___ dimensional shape.

Discussion

10819.	Ashok makes a profit of 25% on the selling price, what will be his profit on cost price
Answer» Ashok makes a profit of 25% on the selling price, what will be his profit on cost price

Discussion

10820.	if the degree of both p(X) and (p(X)+q(X) is 15 find the degree of q(x)a) 15b)12c)13d)any one value of the above
Answer» if the degree of both p(X) and (p(X)+q(X) is 15 find the degree of q(x) a) 15 b)12 c)13 d)any one value of the above

Discussion

10821.	If the point P(α,β), is on the curve x2=2y, which is nearest to the point Q(0,5), then α2+β2 is
Answer» If the point $P (α, β),$ is on the curve $x^{2} = 2 y,$ which is nearest to the point $Q (0, 5),$ then $α^{2} + β^{2}$ is

Discussion

10822.

The monthly income of family is ₹ 28800. The monthly expenditure of the family on various items is given below. Item Rent Food Clothing Education Saving Expenditure (in ₹) 8000 10800 5600 3600 800 Represent the above data by a pie chart.

Answer» The monthly income of family is ₹ 28800. The monthly expenditure of the family on various items is given below.

Item	Rent	Food	Clothing	Education	Saving
Expenditure (in ₹)	8000	10800	5600	3600	800

Represent the above data by a pie chart.

Discussion

10823.	Which of the following should be the THIRD sentence after rearrangement?
Answer» Which of the following should be the THIRD sentence after rearrangement?

Discussion

10824.	If a polyhedron has 6 vertices and 9 edges, then it has ___ faces.
Answer» If a polyhedron has 6 vertices and 9 edges, then it has ___ faces.

Discussion

10825.	Points A, B and C represent which rational numbers?
Answer» Points A, B and C represent which rational numbers?

10825.

Points A, B and C represent which rational numbers?

Answer»

Points A, B and C represent which rational numbers?

Discussion

10826.	How much will be Rajiv's investment worth at theend, if he invests ₹10,000 at a simple interest rate of 10% per annum for two and a half years?
Answer» How much will be Rajiv's investment worth at theend, if he invests ₹10,000 at a simple interest rate of 10% per annum for two and a half years?

Discussion

10827.	Draw bar graph for the given data. playersscoreRahul90Sachin99Sehwag30Gambhir30Yuvraj48Kohli82Zaheer0Nehra1Mishra19 [3 MARKS]
Answer» Draw bar graph for the given data. $\begin{matrix} p l a y e r s & s c o r e R a h u l & 90 S a c h i n & 99 S e h w a g & 30 G a m b h i r & 30 Y u v r a j & 48 K o h l i & 82 Z a h e e r & 0 N e h r a & 1 M i s h r a & 19 \end{matrix}$ [3 MARKS]

10827.

Draw bar graph for the given data. playersscoreRahul90Sachin99Sehwag30Gambhir30Yuvraj48Kohli82Zaheer0Nehra1Mishra19 [3 MARKS]

Answer»

Draw bar graph for the given data.
$\begin{matrix} p l a y e r s & s c o r e R a h u l & 90 S a c h i n & 99 S e h w a g & 30 G a m b h i r & 30 Y u v r a j & 48 K o h l i & 82 Z a h e e r & 0 N e h r a & 1 M i s h r a & 19 \end{matrix}$

[3 MARKS]

Discussion

10828.	All rectangles are parallelograms, but all parallelograms are not rectangles. Justify this statement.
Answer» All rectangles are parallelograms, but all parallelograms are not rectangles. Justify this statement.

Discussion

10829.	Following bar graph shows the number of students appeared in board exam of class X of a public school.
Answer» Following bar graph shows the number of students appeared in board exam of class X of a public school.

10829.

Following bar graph shows the number of students appeared in board exam of class X of a public school.

Answer»

Following bar graph shows the number of students appeared in board exam of class X of a public school.

Discussion

10830.	Krishh had 512 part of an apple pie. Ferdie had 29 part of the same pie. What part of the pie was left after both of them had it?
Answer» Krishh had $\frac{5}{12}$ part of an apple pie. Ferdie had $\frac{2}{9}$ part of the same pie. What part of the pie was left after both of them had it?

Discussion

10831.	Question 5 (v) For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained: 1458
Answer» Question 5 (v) For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained: 1458

Discussion

10832.	AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, then the radius of the circle is _____.13
Answer» AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, then the radius of the circle is _____. 13

Discussion

10833.	Question 66 In the following question, state whether the given statements are true (T) or false (F). The multiplicative inverse of (−4)−2is (4)−2.
Answer» Question 66 In the following question, state whether the given statements are true (T) or false (F). The multiplicative inverse of $(- 4)^{- 2} i s (4)^{- 2}$ .

10833.

Question 66 In the following question, state whether the given statements are true (T) or false (F). The multiplicative inverse of (−4)−2is (4)−2.

Answer»

Question 66

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

The multiplicative inverse of $(- 4)^{- 2} i s (4)^{- 2}$ .

Discussion

10834.	If G is universal gravitation constant and g is acceleration due to gravity,then dimensikns of G/g will be
Answer» If G is universal gravitation constant and g is acceleration due to gravity,then dimensikns of G/g will be

Discussion

10835.	Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?
Answer» Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

Discussion

10836.	2abc(ab+3cab)= _____
Answer» $2 a b c (a b + 3 c a b)$ = _____

Discussion

10837.	Express 12 as a product of its prime factors.
Answer» Express 12 as a product of its prime factors.

Discussion

10838.	The three rational numbers inserted between 47 and 712 are :
Answer» The three rational numbers inserted between $\frac{4}{7}$ and $\frac{7}{12}$ are :

Discussion

10839.	What should be subtracted from −79 to get 56 ?
Answer» What should be subtracted from $\frac{- 7}{9}$ to get $\frac{5}{6}$ ?

Discussion

10840.	The recipe of a cake includes the following steps:Step A: 114 cups of flour is mixed with 258cups of chocolate. Step B: Add 18 cups of sugar to the flour andchocolate mixture.Calculate the total amount of the mixture after both the steps.
Answer» The recipe of a cake includes the following steps: $Step A: 1 \frac{1}{4} cups of flour is mixed with 2 \frac{5}{8}$ $cups of chocolate.$ $Step B: Add \frac{1}{8} cups of sugar to the flour and$ $chocolate mixture.$ Calculate the total amount of the mixture after both the steps.

Discussion

10841.	Find the solution for the following pair of equations2x+y=33x−y=7
Answer» Find the solution for the following pair of equations $2 x + y = 3$ $3 x - y = 7$

Discussion

10842.	ABCD is a rhombus and its diagonals intersect at O. (i) Is ΔBOC≅ΔDOC? State the congruence condition used? (ii) Also state, if ∠BCO=∠DCO.
Answer» ABCD is a rhombus and its diagonals intersect at O. (i) Is $Δ B O C ≅ Δ D O C$ ? State the congruence condition used? (ii) Also state, if $∠ B C O = ∠ D C O$ .

10842.

ABCD is a rhombus and its diagonals intersect at O. (i) Is ΔBOC≅ΔDOC? State the congruence condition used? (ii) Also state, if ∠BCO=∠DCO.

Answer»

ABCD is a rhombus and its diagonals intersect at O.

(i) Is $Δ B O C ≅ Δ D O C$ ? State the congruence condition used?
(ii) Also state, if $∠ B C O = ∠ D C O$ .

Discussion

10843.	Factorize using middle term splitting method 8 n square+ 10 n - 1272
Answer» Factorize using middle term splitting method 8 n square+ 10 n - 1272

Discussion

10844.	The given figure is a sector of a circle of radius 20 cm. Find the perimeter of the sector.(Take π = 3.14)
Answer» The given figure is a sector of a circle of radius 20 cm. Find the perimeter of the sector. (Take $π$ = 3.14)

10844.

The given figure is a sector of a circle of radius 20 cm. Find the perimeter of the sector.(Take π = 3.14)

Answer»

The given figure is a sector of a circle of radius 20 cm. Find the perimeter of the sector.

(Take $π$ = 3.14)

Discussion

10845.	Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories:x+y, 1000, x+x2+x3+x4, 7+y+5x,2y−3y2, 2y−3y2+4y3, 5x−4y+3xy, 4z−15z2,ab+bc+cd+da, pqr, p2q+pq2,2p+2q
Answer» Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories: $x + y, 1000, x + x^{2} + x^{3} + x^{4}, 7 + y + 5 x, 2 y - 3 y^{2},$ $2 y - 3 y^{2} + 4 y^{3}, 5 x - 4 y + 3 x y, 4 z - 15 z^{2},$ $a b + b c + c d + d a, p q r, p^{2} q + p q^{2}, 2 p + 2 q$

Discussion

10846.	The daily pocket expenses of 206 students in a school are given below. Pocket expense0−55−1010−1515−2020−2525−3030−3535−40(in rupees)Number of students1016304250301612(Frequency) Construct a frequency polygon representing the above data. [4 MARKS]
Answer» The daily pocket expenses of 206 students in a school are given below. $\begin{matrix} Pocket expense & 0 - 5 & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 (in rupees) Number of students & 10 & 16 & 30 & 42 & 50 & 30 & 16 & 12 (Frequency) \end{matrix}$ Construct a frequency polygon representing the above data. [4 MARKS]

Discussion

10847.	3. The sum of 18 consecutive natural numbers is a perfect square. The smallest possible value of this sum is
Answer» 3. The sum of 18 consecutive natural numbers is a perfect square. The smallest possible value of this sum is

Discussion

10848.	Identify the factors of 2(a+b)(h+r).
Answer» $Identify the factors of 2 (a + b) (h + r) .$

Discussion

10849.	If the three digit number 24x is divisible by 9 then what is the value of x
Answer» If the three digit number 24x is divisible by 9 then what is the value of x

Discussion

10850.	One card is drawn at random from a well-shuffeld deck of 52 cards. Find the probability that the card drawn is (i) a king (ii) a spade (iii) a red queen (iv) a black 8
Answer» One card is drawn at random from a well-shuffeld deck of 52 cards. Find the probability that the card drawn is (i) a king (ii) a spade (iii) a red queen (iv) a black 8

Discussion

Explore topic-wise InterviewSolutions in .

Factorise: z2+12z+27

If x and y vary directly,y1 = x2 = 5 and y2 = y1 + 10,then what is the value of x1?

In the given figure, it is given that O is the centre of the circle and ∠AOC = 150°. Find ∠ABC.

Question 13 A solid that has two opposite identical faces and other faces as parallelograms is a a) Prism b) Pyramid c) Cone d) Sphere

When the contents of a cuboid of dimension 20 cm × 10 cm × 5 cm, which is filled to the brim, are poured into a cube, it gets filled to full capacity. Then edge of the cube must be ______ cm.

Question 3(ii)You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 12167

The shortest distance between two parallel chords of length 32 units and 24 units of circle having radius 20 units is units

Evaluate using factors 4012×400−4003

Quadrilateral ABCD is having all its angles equal, and its diagonals bisect each other at 90∘. Also, its diagonals are equal in length. What type of quadrilateral is ABCD?

25. Find the cube root of 4741632 by estimation.

Consider the right angled triangle given below: Which of the following statments is/are true? (h = hypotenuse, a and b are the perpendicular sides)

Numerator of a fraction is 1 more than the denominator. If 2 is added both to the Numerator and denominator, the fraction obtained is 54. Find the fraction.

If the exterior angles of a triangle are in the ratio 4:5:6, find the ratio of the angles of the triangle.

Question 92 (xxviii) Factorise the following using the identity a2−b2=(a+b)(a−b). x4−y4+x2−y2

Question 3(c)Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.p - 5 = 5 (0, 10, 5, -5)

Four years ago fathers age was 6 times that of his son. Twelvw years from now, fathers age will be twice that of his son. What is the ratio of the father and sons ages?

Question 4(iv)Find the multiplicative inverse of the following:−58×−37

A perimeter is a path around a closed ___ dimensional shape.

Ashok makes a profit of 25% on the selling price, what will be his profit on cost price

if the degree of both p(X) and (p(X)+q(X) is 15 find the degree of q(x)a) 15b)12c)13d)any one value of the above

If the point P(α,β), is on the curve x2=2y, which is nearest to the point Q(0,5), then α2+β2 is

The monthly income of family is ₹ 28800. The monthly expenditure of the family on various items is given below. Item Rent Food Clothing Education Saving Expenditure (in ₹) 8000 10800 5600 3600 800 Represent the above data by a pie chart.

Which of the following should be the THIRD sentence after rearrangement?

If a polyhedron has 6 vertices and 9 edges, then it has ___ faces.

Points A, B and C represent which rational numbers?

How much will be Rajiv's investment worth at theend, if he invests ₹10,000 at a simple interest rate of 10% per annum for two and a half years?

Draw bar graph for the given data. playersscoreRahul90Sachin99Sehwag30Gambhir30Yuvraj48Kohli82Zaheer0Nehra1Mishra19 [3 MARKS]

All rectangles are parallelograms, but all parallelograms are not rectangles. Justify this statement.

Following bar graph shows the number of students appeared in board exam of class X of a public school.

Krishh had 512 part of an apple pie. Ferdie had 29 part of the same pie. What part of the pie was left after both of them had it?

Question 5 (v) For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained: 1458

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, then the radius of the circle is _____.13

Question 66 In the following question, state whether the given statements are true (T) or false (F). The multiplicative inverse of (−4)−2is (4)−2.

If G is universal gravitation constant and g is acceleration due to gravity,then dimensikns of G/g will be

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

2abc(ab+3cab)= _____

Express 12 as a product of its prime factors.

The three rational numbers inserted between 47 and 712 are :

What should be subtracted from −79 to get 56 ?

The recipe of a cake includes the following steps:Step A: 114 cups of flour is mixed with 258cups of chocolate. Step B: Add 18 cups of sugar to the flour andchocolate mixture.Calculate the total amount of the mixture after both the steps.

Find the solution for the following pair of equations2x+y=33x−y=7

ABCD is a rhombus and its diagonals intersect at O. (i) Is ΔBOC≅ΔDOC? State the congruence condition used? (ii) Also state, if ∠BCO=∠DCO.

Factorize using middle term splitting method 8 n square+ 10 n - 1272

The given figure is a sector of a circle of radius 20 cm. Find the perimeter of the sector.(Take π = 3.14)

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories:x+y, 1000, x+x2+x3+x4, 7+y+5x,2y−3y2, 2y−3y2+4y3, 5x−4y+3xy, 4z−15z2,ab+bc+cd+da, pqr, p2q+pq2,2p+2q

The daily pocket expenses of 206 students in a school are given below. Pocket expense0−55−1010−1515−2020−2525−3030−3535−40(in rupees)Number of students1016304250301612(Frequency) Construct a frequency polygon representing the above data. [4 MARKS]

3. The sum of 18 consecutive natural numbers is a perfect square. The smallest possible value of this sum is

Identify the factors of 2(a+b)(h+r).

If the three digit number 24x is divisible by 9 then what is the value of x

One card is drawn at random from a well-shuffeld deck of 52 cards. Find the probability that the card drawn is (i) a king (ii) a spade (iii) a red queen (iv) a black 8