25365 + Interview Questions in Mathematics Page 66 InterviewSolution

3251.

Find the correct dot plot reprsentation for each group of turtles from the table given below. Group size of turtlesNumber of times each group was sighted 30 4 45 2 60 7 75 1

Answer»

Find the correct dot plot reprsentation for each group of turtles from the table given below.

Group size of turtles	Number of times each group was sighted
30	4
45	2
60	7
75	1

Discussion

3252.	Question 1(iv)Factorise the following expressions49y2+84yz+36z2
Answer» Question 1(iv) Factorise the following expressions $49 y^{2} + 84 y z + 36 z^{2}$

Discussion

3253.	What is the cube root of −216a3, where a is a natural number?
Answer» What is the cube root of $- 216 a^{3}$ , where $a$ is a natural number?

Discussion

3254.	Question 3 Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
Answer» Question 3 Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?

Discussion

3255.	Question 1The height of a rectangle in a histogram shows the(a) Width of the class(b) Upper limit of the class(c) Lower limit of the class(d) Frequency of the class
Answer» Question 1 The height of a rectangle in a histogram shows the (a) Width of the class (b) Upper limit of the class (c) Lower limit of the class (d) Frequency of the class

3255.

Question 1The height of a rectangle in a histogram shows the(a) Width of the class(b) Upper limit of the class(c) Lower limit of the class(d) Frequency of the class

Answer»

Question 1

The height of a rectangle in a histogram shows the

(a) Width of the class

(b) Upper limit of the class

(c) Lower limit of the class

(d) Frequency of the class

Discussion

3256.	t^5 is divided by t^2+1,then remainder is
Answer» t^5 is divided by t^2+1,then remainder is

Discussion

3257.	The probability of getting a prime number when a die is rolled is .
Answer» The probability of getting a prime number when a die is rolled is .

Discussion

3258.	50.With what minimum pressure (in kPa), a given volume of an ideal gas (Cp=7/2R),originally at 400K and 100kPa pressure can be compressed irreversibly adiabatically in order to raise it's temperature to 600K
Answer» 50.With what minimum pressure (in kPa), a given volume of an ideal gas (Cp=7/2R),originally at 400K and 100kPa pressure can be compressed irreversibly adiabatically in order to raise it's temperature to 600K

Discussion

3259.	Question 76 One or more outcomes of an experiment make an event ?
Answer» Question 76 One or more outcomes of an experiment make an event ?

3259.

Question 76 One or more outcomes of an experiment make an event ?

Answer»

Question 76

One or more outcomes of an experiment make an event ?

Discussion

3260.	If 9x2 + 25y2 = 181 and xy = −6, find the value of 3x + 5y.
Answer» If 9x²+ 25y² = 181 and xy = −6, find the value of 3x + 5y.

Discussion

3261.	If 12 boys earn Rs. 840 in 7 days, what will 15 boys earn in 6 days?
Answer» If 12 boys earn Rs. 840 in 7 days, what will 15 boys earn in 6 days?

Discussion

3262.	ΔABC is an isosceles triangle with AB = AC and ∠B = 85°, then find ∠A.
Answer» ΔABC is an isosceles triangle with AB = AC and ∠B = 85°, then find ∠A.

Discussion

3263.	What is the value of x in the equations: (i) 2x+4=10 (ii) 11x−7=5(x+7) [4 MARKS]
Answer» What is the value of x in the equations: (i) $2 x + 4 = 10$ (ii) $11 x - 7 = 5 (x + 7)$ [4 MARKS]

Discussion

3264.	The diagonal of a cube is 9√3cm long. Its total surface area is (a) 243cm2 (b) 486cm2 (c) 324cm2 (d) 648cm2
Answer» The diagonal of a cube is $9 \sqrt{3}$ cm long. Its total surface area is (a) $243 c m^{2}$ (b) $486 c m^{2}$ (c) $324 c m^{2}$ (d) $648 c m^{2}$

3264.

The diagonal of a cube is 9√3cm long. Its total surface area is (a) 243cm2 (b) 486cm2 (c) 324cm2 (d) 648cm2

Answer»

The diagonal of a cube is $9 \sqrt{3}$ cm long. Its total surface area is

(a) $243 c m^{2}$

(b) $486 c m^{2}$

(c) $324 c m^{2}$

(d) $648 c m^{2}$

Discussion

3265.	Construct ∆ XYZ, in which YZ = 6 cm, XY + XZ = 9 cm. ∠XYZ = 50°
Answer» Construct $∆$ XYZ, in which YZ = 6 cm, XY + XZ = 9 cm. $∠$ XYZ = $50^{°}$

Discussion

3266.	How to do sums of indices
Answer» How to do sums of indices

Discussion

3267.	How I can convert 1 unit system into another using dimensions that is a third application of dimensions?
Answer» How I can convert 1 unit system into another using dimensions that is a third application of dimensions?

Discussion

3268.	How many natural numbers are there in between −1310 and710?
Answer» How many natural numbers are there in $between \frac{- 13}{10} and \frac{7}{10}$ ?

Discussion

3269.	If f(x) = x x, then f '(x) = _________________.
Answer» If f(x) = x $\|x\|$ , then f '(x) = _________________.

Discussion

3270.	Find the value of m such that 5m+2 × 54 = 53.
Answer» Find the value of $m$ such that $5^{m + 2}$ $\times$ $5^{4}$ = $5^{3}$ .

Discussion

3271.	Question 88 (xviii) Factorise the following expression. 2ax2+4axy+3bx2+2ay2+6bxy+3by2
Answer» Question 88 (xviii) Factorise the following expression. $2 a x^{2} + 4 a x y + 3 b x^{2} + 2 a y^{2} + 6 b x y + 3 b y^{2}$

Discussion

3272.	ABCD ia a parallelogram. P is any point on CD. If ar (ΔDPA)=15 cm2 and ar (ΔAPC)=20 cm2, then find the ar (ΔAPB).
Answer» ABCD ia a parallelogram. P is any point on CD. If $a r (Δ D P A) = 15 c m^{2} a n d a r (Δ A P C) = 20 c m^{2}$ , then find the ar $(Δ A P B) .$

Discussion

3273.	Mettez le dialogue en ordre. Quelque chose d'autre? Voilà l'argent. Que veux-tu mon enfant? Non, donnez-moi aussi une règle en bois et un cahier. Voilà! C'est tout? Au revoir. Ça fait 18€ 45. Je veux deux stylos noirs et un cahier en plastique. Merci. Au revoir. Non merci monsieur. Combien ça fait?
Answer» Mettez le dialogue en ordre. Quelque chose d'autre? Voilà l'argent. Que veux-tu mon enfant? Non, donnez-moi aussi une règle en bois et un cahier. Voilà! C'est tout? Au revoir. Ça fait 18€ 45. Je veux deux stylos noirs et un cahier en plastique. Merci. Au revoir. Non merci monsieur. Combien ça fait?

Discussion

3274.	Question 15The volume of a cube whose edge is 3x is (a) 27x3 (b) 9x3 (c) 6x3 (d) 3x3
Answer» Question 15 The volume of a cube whose edge is 3x is (a) $27 x^{3}$ (b) $9 x^{3}$ (c) $6 x^{3}$ (d) $3 x^{3}$

3274.

Question 15The volume of a cube whose edge is 3x is (a) 27x3 (b) 9x3 (c) 6x3 (d) 3x3

Answer»

Question 15

The volume of a cube whose edge is 3x is

(a) $27 x^{3}$ (b) $9 x^{3}$ (c) $6 x^{3}$ (d) $3 x^{3}$

Discussion

3275.	Question 10 Find the area of the minor segment of a circle of radius 14 cm , when the angle of the corresponding sector is 60∘
Answer» Question 10 Find the area of the minor segment of a circle of radius 14 cm , when the angle of the corresponding sector is $60^{\circ}$

Discussion

3276.	Find the mean for the following distribution:12, 14, 10, 12, 15, 12, 18, 10, 15, 11, 19, 20, 12, 15, 19, 10, 18, 16, 20, 17.
Answer» Find the mean for the following distribution: 12, 14, 10, 12, 15, 12, 18, 10, 15, 11, 19, 20, 12, 15, 19, 10, 18, 16, 20, 17.

3276.

Find the mean for the following distribution:12, 14, 10, 12, 15, 12, 18, 10, 15, 11, 19, 20, 12, 15, 19, 10, 18, 16, 20, 17.

Answer»

Find the mean for the following distribution:

12, 14, 10, 12, 15, 12, 18, 10, 15, 11, 19, 20, 12, 15, 19, 10, 18, 16, 20, 17.

Discussion

3277.	The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when differences of AB and AC is equal to(a) 3.2 cm(b) 3.1 cm(c) 3 cm(d) 2.8 cm
Answer» The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when differences of AB and AC is equal to (a) 3.2 cm (b) 3.1 cm (c) 3 cm (d) 2.8 cm

Discussion

3278.	𝑥 /5 – 𝑥/ 7 = 1 /35
Answer» 𝑥 /5 – 𝑥/ 7 = 1 /35

Discussion

3279.	How many steps we have to use for obtaining rational no. fromnon-terminating decimal no.
Answer» How many steps we have to use for obtaining rational no. fromnon-terminating decimal no.

Discussion

3280.	The altitude of a triangle is three-fifth the length of its corresponding base. If the altitude is increased by 4 cm and the base is decreased by 2 cm, then the area of the triangle remains the same. Find the base of the triangle in cm.
Answer» The altitude of a triangle is three-fifth the length of its corresponding base. If the altitude is increased by 4 cm and the base is decreased by 2 cm, then the area of the triangle remains the same. Find the base of the triangle in cm.

Discussion

3281.	Question 2 (v) Find the value of the unknown interior angle x in the following figures.
Answer» Question 2 (v) Find the value of the unknown interior angle x in the following figures.

Discussion

3282.	The volume of a given cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre. Find the cost incurred to paint its complete surface area.
Answer» The volume of a given cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre. Find the cost incurred to paint its complete surface area.

Discussion

3283.	In the given figure, ∠MNP = 90°, seg NQ ⊥seg MP, MQ = 9, QP = 4, find NQ.
Answer» In the given figure, ∠MNP = 90°, seg NQ ⊥seg MP, MQ = 9, QP = 4, find NQ.

Discussion

3284.	Question 64 Solve the following: x+14=x−23
Answer» Question 64 Solve the following: $\frac{x + 1}{4} = \frac{x - 2}{3}$

3284.

Question 64 Solve the following: x+14=x−23

Answer»

Question 64

Solve the following:

$\frac{x + 1}{4} = \frac{x - 2}{3}$

Discussion

3285.	Question 78Find the area of the shaded portion in the following figure.
Answer» Question 78 Find the area of the shaded portion in the following figure.

3285.

Question 78Find the area of the shaded portion in the following figure.

Answer»

Question 78

Find the area of the shaded portion in the following figure.

Discussion

3286.	Let −−→OA=→a,−−→OB=10→a+2→band −−→OC=→b where O is origin and A,C are non-collinear points. Let p denotes the area of the quadrilateral OABC and q denotes the area of the parallelogram with −−→OA and −−→OC as adjacent sides. Then pq is equal to
Answer» Let $- - \to O A = \to a, - - \to O B = 10 \to a + 2 \to b$ and $- - \to O C = \to b$ where $O$ is origin and $A, C$ are non-collinear points. Let $p$ denotes the area of the quadrilateral $O A B C$ and $q$ denotes the area of the parallelogram with $- - \to O A$ and $- - \to O C$ as adjacent sides. Then $\frac{p}{q}$ is equal to

Discussion

3287.	Simplify the following expression:(2x2+7)+(−3x2−5)
Answer» Simplify the following expression: $(2 x^{2} + 7) + (- 3 x^{2} - 5)$

Discussion

3288.	Which of the following is not a model for a plane surface?
Answer» Which of the following is not a model for a plane surface?

Discussion

3289.	Fill in the BlanksQuestion 25The point where the two axes intersect is called the ___.
Answer» Fill in the Blanks Question 25 The point where the two axes intersect is called the ___.

Discussion

3290.	If the radius of a circle is 5 cm, the distance of any point on the boundary of circle from its centre is ___.5
Answer» If the radius of a circle is 5 cm, the distance of any point on the boundary of circle from its centre is ___. 5

Discussion

3291.	Q. If y=(2x^3+3)(2x^-3+1) then find dy/dx
Answer» Q. If y=(2x^3+3)(2x^-3+1) then find dy/dx

Discussion

3292.	Question 100 Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.
Answer» Question 100 Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.

3292.

Question 100 Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.

Answer»

Question 100

Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.

Discussion

3293.	The volume of a cubicle box is 4096 m cube find the edges
Answer» The volume of a cubicle box is 4096 m cube find the edges

Discussion

3294.	Question 124The table shows the cost of sunscreen of two brands with and without sales tax. Which brand has a greater sales tax rate? Give the sales tax rate of each brand ?QuantityCost(in Rs.)Cost+Tax(in Rs)X(100g)7075Y(100g)6265
Answer» Question 124 The table shows the cost of sunscreen of two brands with and without sales tax. Which brand has a greater sales tax rate? Give the sales tax rate of each brand ? $\begin{matrix} Quantity & Cost(in Rs.) & Cost+Tax(in Rs) X (100 g) & 70 & 75 Y (100 g) & 62 & 65 \end{matrix}$

3294.

Question 124The table shows the cost of sunscreen of two brands with and without sales tax. Which brand has a greater sales tax rate? Give the sales tax rate of each brand ?QuantityCost(in Rs.)Cost+Tax(in Rs)X(100g)7075Y(100g)6265

Answer»

Question 124

The table shows the cost of sunscreen of two brands with and without sales tax. Which brand has a greater sales tax rate? Give the sales tax rate of each brand ? $\begin{matrix} Quantity & Cost(in Rs.) & Cost+Tax(in Rs) X (100 g) & 70 & 75 Y (100 g) & 62 & 65 \end{matrix}$

Discussion

3295.	Draw a line segment AB=5.5 cm. Mark a point P, such that PA=6 cm and PB=4.8 cm. From the point P draw perpendicular to AB.
Answer» Draw a line segment AB=5.5 cm. Mark a point P, such that PA=6 cm and PB=4.8 cm. From the point P draw perpendicular to AB.

Discussion

3296.	The sum of 11x2−8x+4 and 6x2+7x−10 is
Answer» The sum of $11 x^{2} - 8 x + 4$ and $6 x^{2} + 7 x - 10$ is

Discussion

3297.	Factorise 27x3+y3+z3-9xyz
Answer» Factorise 27x3+y3+z3-9xyz

Discussion

3298.	Factorize 2x6+12x2
Answer» Factorize $2 x^{6} + 12 x^{2}$

Discussion

3299.	In a town of 6000 people, 1200 are over 50 years old and 2000 are females. It is known that 30% of the females are over 50 years. What is the probability that a randomly chosen individual from the town is either female or over 50 years ?
Answer» In a town of 6000 people, 1200 are over 50 years old and 2000 are females. It is known that 30% of the females are over 50 years. What is the probability that a randomly chosen individual from the town is either female or over 50 years ?

Discussion

3300.	Find the value of the product: 346×4.
Answer» Find the value of the product: $346 \times 4$ .

Discussion

Explore topic-wise InterviewSolutions in .

Find the correct dot plot reprsentation for each group of turtles from the table given below. Group size of turtlesNumber of times each group was sighted 30 4 45 2 60 7 75 1

Question 1(iv)Factorise the following expressions49y2+84yz+36z2

What is the cube root of −216a3, where a is a natural number?

Question 3 Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?

Question 1The height of a rectangle in a histogram shows the(a) Width of the class(b) Upper limit of the class(c) Lower limit of the class(d) Frequency of the class

t^5 is divided by t^2+1,then remainder is

The probability of getting a prime number when a die is rolled is .

50.With what minimum pressure (in kPa), a given volume of an ideal gas (Cp=7/2R),originally at 400K and 100kPa pressure can be compressed irreversibly adiabatically in order to raise it's temperature to 600K

Question 76 One or more outcomes of an experiment make an event ?

If 9x2 + 25y2 = 181 and xy = −6, find the value of 3x + 5y.

If 12 boys earn Rs. 840 in 7 days, what will 15 boys earn in 6 days?

ΔABC is an isosceles triangle with AB = AC and ∠B = 85°, then find ∠A.

What is the value of x in the equations: (i) 2x+4=10 (ii) 11x−7=5(x+7) [4 MARKS]

The diagonal of a cube is 9√3cm long. Its total surface area is (a) 243cm2 (b) 486cm2 (c) 324cm2 (d) 648cm2

Construct ∆ XYZ, in which YZ = 6 cm, XY + XZ = 9 cm. ∠XYZ = 50°

How to do sums of indices

How I can convert 1 unit system into another using dimensions that is a third application of dimensions?

How many natural numbers are there in between −1310 and710?

If f(x) = x x, then ​f '(x) = _________________.

Find the value of m such that 5m+2 × 54 = 53.

Question 88 (xviii) Factorise the following expression. 2ax2+4axy+3bx2+2ay2+6bxy+3by2 ​

ABCD ia a parallelogram. P is any point on CD. If ar (ΔDPA)=15 cm2 and ar (ΔAPC)=20 cm2, then find the ar (ΔAPB).

Question 15The volume of a cube whose edge is 3x is (a) 27x3 (b) 9x3 (c) 6x3 (d) 3x3

Question 10 Find the area of the minor segment of a circle of radius 14 cm , when the angle of the corresponding sector is 60∘

Find the mean for the following distribution:12, 14, 10, 12, 15, 12, 18, 10, 15, 11, 19, 20, 12, 15, 19, 10, 18, 16, 20, 17.

The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when differences of AB and AC is equal to(a) 3.2 cm(b) 3.1 cm(c) 3 cm(d) 2.8 cm

𝑥 /5 – 𝑥/ 7 = 1 /35

How many steps we have to use for obtaining rational no. fromnon-terminating decimal no.

The altitude of a triangle is three-fifth the length of its corresponding base. If the altitude is increased by 4 cm and the base is decreased by 2 cm, then the area of the triangle remains the same. Find the base of the triangle in cm.

Question 2 (v) Find the value of the unknown interior angle x in the following figures.

The volume of a given cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre. Find the cost incurred to paint its complete surface area.

In the given figure, ∠MNP = 90°, seg NQ ⊥seg MP, MQ = 9, QP = 4, find NQ.

Question 64 Solve the following: x+14=x−23

Question 78Find the area of the shaded portion in the following figure.

Let −−→OA=→a,−−→OB=10→a+2→band −−→OC=→b where O is origin and A,C are non-collinear points. Let p denotes the area of the quadrilateral OABC and q denotes the area of the parallelogram with −−→OA and −−→OC as adjacent sides. Then pq is equal to

Simplify the following expression:(2x2+7)+(−3x2−5)

Which of the following is not a model for a plane surface?

Fill in the BlanksQuestion 25The point where the two axes intersect is called the ___.

If the radius of a circle is 5 cm, the distance of any point on the boundary of circle from its centre is ___.5

Q. If y=(2x^3+3)(2x^-3+1) then find dy/dx

Question 100 Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.

The volume of a cubicle box is 4096 m cube find the edges

Question 124The table shows the cost of sunscreen of two brands with and without sales tax. Which brand has a greater sales tax rate? Give the sales tax rate of each brand ?QuantityCost(in Rs.)Cost+Tax(in Rs)X(100g)7075Y(100g)6265

Draw a line segment AB=5.5 cm. Mark a point P, such that PA=6 cm and PB=4.8 cm. From the point P draw perpendicular to AB.

The sum of 11x2−8x+4 and 6x2+7x−10 is

Factorise 27x3+y3+z3-9xyz

Factorize 2x6+12x2

In a town of 6000 people, 1200 are over 50 years old and 2000 are females. It is known that 30% of the females are over 50 years. What is the probability that a randomly chosen individual from the town is either female or over 50 years ?

Find the value of the product: 346×4.

If f(x) = x x, then f '(x) = _________________.

Question 88 (xviii) Factorise the following expression. 2ax2+4axy+3bx2+2ay2+6bxy+3by2