25365 + Interview Questions in Mathematics Page 240 InterviewSolution

11951.	If you have a collection of 6 pairs of white socks and 3 pairs of black socks. What is the probability that a pair you pick without looking is (i) white? (ii) black?
Answer» If you have a collection of 6 pairs of white socks and 3 pairs of black socks. What is the probability that a pair you pick without looking is (i) white? (ii) black?

11951.

If you have a collection of 6 pairs of white socks and 3 pairs of black socks. What is the probability that a pair you pick without looking is (i) white? (ii) black?

Answer»

If you have a collection of 6 pairs of white socks and 3 pairs of black socks. What is the probability that a pair you pick without looking is

(i) white? (ii) black?

Discussion

11952.	If d is the HCF of 92 and 56, then find x satisfying d= 92x +56×5.
Answer» If d is the HCF of 92 and 56, then find x satisfying d= 92x +56×5.

Discussion

11953.	Four alternative options are given for each of the following statements. Select the correct option. The number of times a particular observation (score) occurs in a data is called its: A. frequency B. range C. class interval D. class limit
Answer» Four alternative options are given for each of the following statements. Select the correct option. The number of times a particular observation (score) occurs in a data is called its: A. frequency B. range C. class interval D. class limit

11953.

Four alternative options are given for each of the following statements. Select the correct option. The number of times a particular observation (score) occurs in a data is called its: A. frequency B. range C. class interval D. class limit

Answer»

Four alternative options are given for each of the following statements. Select the correct option.

The number of times a particular observation (score) occurs in a data is called its:

A. frequency

B. range

C. class interval

D. class limit

Discussion

11954.	Factorise 9z2 - x2 + 4xy - 4y2
Answer» Factorise 9z² - x²+ 4xy - 4y²

11954.

Factorise 9z2 - x2 + 4xy - 4y2

Answer»

Factorise

9z² - x²+ 4xy - 4y²

Discussion

11955.	Question 101A truck carrying 7.8 m3 concrete arrives at a job site. A platform of width 5 m and height 2 m is being constructed at the site. Find the length of the platform constructed from the amount of concrete on the truck?
Answer» Question 101 A truck carrying $7.8 m^{3}$ concrete arrives at a job site. A platform of width 5 m and height 2 m is being constructed at the site. Find the length of the platform constructed from the amount of concrete on the truck?

11955.

Question 101A truck carrying 7.8 m3 concrete arrives at a job site. A platform of width 5 m and height 2 m is being constructed at the site. Find the length of the platform constructed from the amount of concrete on the truck?

Answer»

Question 101

A truck carrying $7.8 m^{3}$ concrete arrives at a job site. A platform of width 5 m and height 2 m is being constructed at the site. Find the length of the platform constructed from the amount of concrete on the truck?

Discussion

11956.	Four alternative options are given for each of the following statements. Select the correct option.The mean of 6, 4, 7, x and 10 is 8. The value of x is:A. 10B. 12C. 14D. 13
Answer» Four alternative options are given for each of the following statements. Select the correct option. The mean of 6, 4, 7, x and 10 is 8. The value of x is: A. 10 B. 12 C. 14 D. 13

11956.

Four alternative options are given for each of the following statements. Select the correct option.The mean of 6, 4, 7, x and 10 is 8. The value of x is:A. 10B. 12C. 14D. 13

Answer»

Four alternative options are given for each of the following statements. Select the correct option.

The mean of 6, 4, 7, x and 10 is 8. The value of x is:

A. 10

B. 12

C. 14

D. 13

Discussion

11957.	A die is thrown . Find the probability of not getting an even number.
Answer» A die is thrown . Find the probability of not getting an even number.

Discussion

11958.	If x2+1x2=174 then find the value of x+1x
Answer» If $x^{2} + \frac{1}{x^{2}} = \frac{17}{4}$ then find the value of $x + \frac{1}{x}$

Discussion

11959.	Solve for and give your answers correct to 2 decimal places. 2 – 10 + 6 = 0.
Answer» Solve for and give your answers correct to 2 decimal places. ² – 10 + 6 = 0.

Discussion

11960.	Use the graph given to answer the following question.Amount of Sugar That Will Dissolve in 4 cups of Water at Different TemperaturesWhat conclusion can be drawn from the graphs?
Answer» Use the graph given to answer the following question. Amount of Sugar That Will Dissolve in 4 cups of Water at Different Temperatures What conclusion can be drawn from the graphs?

Discussion

11961.	A cubical box has edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.(i) Which box has smaller total surface area?(ii) If each edge of the cube is doubled, how many times will its T.S.A increase?
Answer» A cubical box has edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. (i) Which box has smaller total surface area? (ii) If each edge of the cube is doubled, how many times will its T.S.A increase?

11961.

A cubical box has edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.(i) Which box has smaller total surface area?(ii) If each edge of the cube is doubled, how many times will its T.S.A increase?

Answer»

A cubical box has edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i) Which box has smaller total surface area?

(ii) If each edge of the cube is doubled, how many times will its T.S.A increase?

Discussion

11962.	How to factorize and find all zeroes of x4+5x3-x2+35x+42 if its two zeroes 2 and 3 are given?
Answer» How to factorize and find all zeroes of x4+5x3-x2+35x+42 if its two zeroes 2 and 3 are given?

Discussion

11963.	Which one among the following is correct?
Answer» Which one among the following is correct?

Discussion

11964.	Question 2Refer to Question above, construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the class is 10 - 20 (20 not included).
Answer» Question 2 Refer to Question above, construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the class is 10 - 20 (20 not included).

Discussion

11965.	A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, then how many 1 cubic centimetre cubes will have exactly one of their faces painted? (a) 27(b) 42(c) 54(d) 142
Answer» A cube of side $5 c m$ is painted on all its faces. If it is sliced into $1$ cubic centimetre cubes, then how many $1$ cubic centimetre cubes will have exactly one of their faces painted? (a) $27$ (b) $42$ (c) $54$ (d) $142$

11965.

A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, then how many 1 cubic centimetre cubes will have exactly one of their faces painted? (a) 27(b) 42(c) 54(d) 142

Answer»

A cube of side $5 c m$ is painted on all its faces. If it is sliced into $1$ cubic centimetre cubes, then how many $1$ cubic centimetre cubes will have exactly one of their faces painted?

(a) $27$

(b) $42$

(c) $54$

(d) $142$

Discussion

11966.	Regardez les images et répondez.A. 1. Quelle place est-elle? 2. Que trouvez-t-on ici?B. 1. Qu'est-ce que c'est? 2. Que les enfants, jouent-ils?
Answer» Regardez les images et répondez. A. 1. Quelle place est-elle? 2. Que trouvez-t-on ici? B. 1. Qu'est-ce que c'est? 2. Que les enfants, jouent-ils?

Discussion

11967.	If x+1x=5, find the value of x2+1x2 and x4+1x4.
Answer» If $x + \frac{1}{x} = \sqrt{5}$ , find the value of $x^{2} + \frac{1}{x^{2}}$ and $x^{4} + \frac{1}{x^{4}}$ .

Discussion

11968.	Factorise :(i) x2+8x+16 (ii) 4a2–4a+1
Answer» Factorise : $(i) x^{2} + 8 x + 16$ $(ii) 4 a^{2} - 4 a + 1$

Discussion

11969.	is a factor of 3m3+7m.
Answer» is a factor of $3 m^{3} + 7 m$ .

Discussion

11970.	find the number of perfect square numbers between 49 and 122
Answer» find the number of perfect square numbers between 49 and 122

Discussion

11971.	Seema weaves 25 baskets in 35 days. In how many days will she weave 110 baskets?
Answer» Seema weaves 25 baskets in 35 days. In how many days will she weave 110 baskets?

Discussion

11972.	x3y2−zx2y+x4y3= ×(xy−z+x2y2)
Answer» $x^{3} y^{2} - z x^{2} y + x^{4} y^{3} =$ $\times (x y - z + x^{2} y^{2})$

Discussion

11973.	Construct an angle ABC = 90∘. Locate a point P which is 2.5 cm from AB and 3.2 cm from BC.
Answer» Construct an angle ABC = $90^{\circ}$ . Locate a point P which is 2.5 cm from AB and 3.2 cm from BC.

Discussion

11974.	What are the minimum number of parameters required to construct a square?
Answer» What are the minimum number of parameters required to construct a square?

Discussion

11975.	10 men can reap a field in 20 days. 10 men reaped the field for 10 days and after 10 days 10 more men join them. In how many days will the work be finished?
Answer» 10 men can reap a field in 20 days. 10 men reaped the field for 10 days and after 10 days 10 more men join them. In how many days will the work be finished?

Discussion

11976.	Match the following areas and volume for a cylinder of heigth 'h' and radius 'r'.
Answer» Match the following areas and volume for a cylinder of heigth ' $h$ ' and radius ' $r$ '.

Discussion

11977.	A train and a car start together from a point. The train's speed is 80 kmph and the car's speed is 60% of the train's speed. The train crosses a station in 15 minutes. How much distance will the car travel in the time the train takes to cross 3 stations? (Assume constant distance between consecutive stations)
Answer» A train and a car start together from a point. The train's speed is 80 kmph and the car's speed is 60% of the train's speed. The train crosses a station in 15 minutes. How much distance will the car travel in the time the train takes to cross 3 stations? (Assume constant distance between consecutive stations)

Discussion

11978.	Swimming pool is 20 m in length 15 m in breadth and 4 m in depth find the cost of cementing its floor and four walls at the rate 6 rupees 12 per metre square
Answer» Swimming pool is 20 m in length 15 m in breadth and 4 m in depth find the cost of cementing its floor and four walls at the rate 6 rupees 12 per metre square

Discussion

11979.	Draw □XYZW and name the following.(1) The pairs of opposite angles.(2) The pairs of opposite sides.(3) The pairs of adjacent sides.(4) The pairs of adjacent angles.(5) The diagonals of the quadrilateral.(6) The name of the quadrilateral in different ways.
Answer» Draw $□$ XYZW and name the following. (1) The pairs of opposite angles. (2) The pairs of opposite sides. (3) The pairs of adjacent sides. (4) The pairs of adjacent angles. (5) The diagonals of the quadrilateral. (6) The name of the quadrilateral in different ways.

Discussion

11980.	A quantity Z is given by the relation, Z=2√ab/c^2. Find the maximum percentage error in Z, if the percentage error in a,b,c are 2%,4%, and 1%.
Answer» A quantity Z is given by the relation, Z=2√ab/c^2. Find the maximum percentage error in Z, if the percentage error in a,b,c are 2%,4%, and 1%.

Discussion

11981.	A cardboard box is 1.2 in long, 72 cm wide an54 cm high. How many bars of soap can be put into it if each bar measures 6cm×4.5cm×4cm?
Answer» A cardboard box is 1.2 in long, 72 cm wide an54 cm high. How many bars of soap can be put into it if each bar measures $6 c m \times 4.5 c m \times 4 c m$ ?

Discussion

11982.	In quadrilateral PQRS, ∠P:∠Q:∠R:∠S=3:4:6:7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other. (i) Is PS also parallel to QR ? (ii) Assign a special name to quadrilateral PQRS.
Answer» In quadrilateral PQRS, $∠ P : ∠ Q : ∠ R : ∠ S = 3 : 4 : 6 : 7$ . Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other. (i) Is PS also parallel to QR ? (ii) Assign a special name to quadrilateral PQRS.

11982.

In quadrilateral PQRS, ∠P:∠Q:∠R:∠S=3:4:6:7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other. (i) Is PS also parallel to QR ? (ii) Assign a special name to quadrilateral PQRS.

Answer»

In quadrilateral PQRS, $∠ P : ∠ Q : ∠ R : ∠ S = 3 : 4 : 6 : 7$ .

Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other.

(i) Is PS also parallel to QR ?

(ii) Assign a special name to quadrilateral PQRS.

Discussion

11983.	The distance between the points (2,2) and (−2,−2) is units.
Answer» The distance between the points $(2, 2)$ and $(- 2, - 2)$ is units.

Discussion

11984.	The point where all the medians of a triangle intersect are known as ______________ .
Answer» The point where all the medians of a triangle intersect are known as ______________ .

Discussion

11985.	Question 92 (i)Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.
Answer» Question 92 (i) Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.

11985.

Question 92 (i)Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.

Answer»

Question 92 (i)

Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.

Discussion

11986.	The cost price of a machine is 2,50,000. If the rate of depreciation is 10% per year find the depreciation in price of the machine after two years.
Answer» The cost price of a machine is $2, 50, 000$ . If the rate of depreciation is $10 %$ per year find the depreciation in price of the machine after two years.

Discussion

11987.	Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm
Answer» Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm

Discussion

11988.

Rehman is making a wheel using spokes. He wants to fix equalspokes in such a way that the angles between any pair of consecutivespokes are equal. Help him by completing the following table. Number of spokes 4 6 8 10 12 Angle between a pair of consecutive spokes 90° 60° … … … (i) Are the number of spokes and the angles formed between thepairs of consecutive spokes in inverse proportion?(ii) Calculate the angle between a pair of consecutive spokes on awheel with 15 spokes.(iii) How many spokes would be needed, if the angle between a pairof consecutive spokes is 40°?

Answer»

Rehman is making a wheel using spokes. He wants to fix equal
spokes in such a way that the angles between any pair of consecutive
spokes are equal. Help him by completing the following table.

Number of spokes	4	6	8	10	12
Angle between a pair of consecutive spokes	90°	60°	…	…	…

(i) Are the number of spokes and the angles formed between the
pairs of consecutive spokes in inverse proportion?

(ii) Calculate the angle between a pair of consecutive spokes on a
wheel with 15 spokes.

(iii) How many spokes would be needed, if the angle between a pair
of consecutive spokes is 40°?

Discussion

11989.	The value of ∫(x+3)3x(x+3)dx(where C is constant of integration)
Answer» The value of $\int \frac{(x + 3)^{3}}{x (x + 3)} d x$ (where $C$ is constant of integration)

Discussion

11990.	37. In a right triangle the hypotenuse is 2\sqrt{}2 times the perpendicular drawn from the opposite vertex. Then the other acute angles of the triangle are?
Answer» 37. In a right triangle the hypotenuse is 2\sqrt{}2 times the perpendicular drawn from the opposite vertex. Then the other acute angles of the triangle are?

Discussion

11991.	Square of number 37 can be found in two steps.What is a?
Answer» Square of number 37 can be found in two steps. What is a?

Discussion

11992.	Question 1(x) Find the cube root of each of the following numbers by prime factorization method: 91125
Answer» Question 1(x) Find the cube root of each of the following numbers by prime factorization method: 91125

Discussion

11993.	In a ΔABC, AB = BC and ∠B = 64°. Find ∠C.
Answer» In a ΔABC, AB = BC and ∠B = 64°. Find ∠C.

Discussion

11994.	Simplify: (3pq+3qr)2−18pq2r
Answer» Simplify: ${(3 p q + 3 q r)}^{2} - 18 p q^{2} r$

Discussion

11995.	Solve : 5x−13(x+1)=6(x+130)
Answer» Solve : $5 x - \frac{1}{3} (x + 1) = 6 (x + \frac{1}{30})$

11995.

Solve : 5x−13(x+1)=6(x+130)

Answer»

Solve :

$5 x - \frac{1}{3} (x + 1) = 6 (x + \frac{1}{30})$

Discussion

11996.	What are the factors of 81a^4+(x-2a)(x-5a)(x-8a)(x-11a) ?
Answer» What are the factors of 81a^4+(x-2a)(x-5a)(x-8a)(x-11a) ?

Discussion

11997.	Discuss the difference between one cubit and one yard.
Answer» Discuss the difference between one cubit and one yard.

Discussion

11998.	Two angles form a linear pair. They are represented by x + 30 and 3x - 10 respectively. What are the measures of the angles?
Answer» Two angles form a linear pair. They are represented by x + 30 and 3x - 10 respectively. What are the measures of the angles?

Discussion

11999.	Question 85(v) The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. How many children use taxi to travel to school?
Answer» Question 85(v) The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. How many children use taxi to travel to school?

11999.

Question 85(v) The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. How many children use taxi to travel to school?

Answer»

Question 85(v)

The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.

How many children use taxi to travel to school?

Discussion

12000.

Find the value of ‘A’ & ‘B’ from the following ? 3 A+2 5 ––––– B 2 –––––

Answer»

Find the value of ‘A’ & ‘B’ from the following ?

$3 A + 25 - --- - B 2 - --- -$

Discussion

Explore topic-wise InterviewSolutions in .

If you have a collection of 6 pairs of white socks and 3 pairs of black socks. What is the probability that a pair you pick without looking is (i) white? (ii) black?

If d is the HCF of 92 and 56, then find x satisfying d= 92x +56×5.

Four alternative options are given for each of the following statements. Select the correct option. The number of times a particular observation (score) occurs in a data is called its: A. frequency B. range C. class interval D. class limit

Factorise 9z2 - x​​​​​​​​​​​​​​​​​​2 + 4xy - 4y2

Question 101A truck carrying 7.8 m3 concrete arrives at a job site. A platform of width 5 m and height 2 m is being constructed at the site. Find the length of the platform constructed from the amount of concrete on the truck?

Four alternative options are given for each of the following statements. Select the correct option.The mean of 6, 4, 7, x and 10 is 8. The value of x is:A. 10B. 12C. 14D. 13

A die is thrown . Find the probability of not getting an even number.

If x2+1x2=174 then find the value of x+1x

Solve for and give your answers correct to 2 decimal places. 2 – 10 + 6 = 0.

Use the graph given to answer the following question.Amount of Sugar That Will Dissolve in 4 cups of Water at Different TemperaturesWhat conclusion can be drawn from the graphs?

A cubical box has edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.(i) Which box has smaller total surface area?(ii) If each edge of the cube is doubled, how many times will its T.S.A increase?

How to factorize and find all zeroes of x4+5x3-x2+35x+42 if its two zeroes 2 and 3 are given?

Which one among the following is correct?

Question 2Refer to Question above, construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the class is 10 - 20 (20 not included).

A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, then how many 1 cubic centimetre cubes will have exactly one of their faces painted? (a) 27(b) 42(c) 54(d) 142

Regardez les images et répondez.A. 1. Quelle place est-elle? 2. Que trouvez-t-on ici?B. 1. Qu'est-ce que c'est? 2. Que les enfants, jouent-ils?

If x+1x=5, find the value of x2+1x2 and x4+1x4.

Factorise :(i) x2+8x+16 (ii) 4a2–4a+1

is a factor of 3m3+7m.

find the number of perfect square numbers between 49 and 122

Seema weaves 25 baskets in 35 days. In how many days will she weave 110 baskets?

x3y2−zx2y+x4y3= ×(xy−z+x2y2)

Construct an angle ABC = 90∘. Locate a point P which is 2.5 cm from AB and 3.2 cm from BC.

What are the minimum number of parameters required to construct a square?

10 men can reap a field in 20 days. 10 men reaped the field for 10 days and after 10 days 10 more men join them. In how many days will the work be finished?

Match the following areas and volume for a cylinder of heigth 'h' and radius 'r'.

Swimming pool is 20 m in length 15 m in breadth and 4 m in depth find the cost of cementing its floor and four walls at the rate 6 rupees 12 per metre square

Draw □XYZW and name the following.(1) The pairs of opposite angles.(2) The pairs of opposite sides.(3) The pairs of adjacent sides.(4) The pairs of adjacent angles.(5) The diagonals of the quadrilateral.(6) The name of the quadrilateral in different ways.

A quantity Z is given by the relation, Z=2√ab/c^2. Find the maximum percentage error in Z, if the percentage error in a,b,c are 2%,4%, and 1%.

A cardboard box is 1.2 in long, 72 cm wide an54 cm high. How many bars of soap can be put into it if each bar measures 6cm×4.5cm×4cm?

In quadrilateral PQRS, ∠P:∠Q:∠R:∠S=3:4:6:7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other. (i) Is PS also parallel to QR ? (ii) Assign a special name to quadrilateral PQRS.

The distance between the points (2,2) and (−2,−2) is units.

The point where all the medians of a triangle intersect are known as ______________ .

Question 92 (i)Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.

The cost price of a machine is 2,50,000. If the rate of depreciation is 10% per year find the depreciation in price of the machine after two years.

Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm

The value of ∫(x+3)3x(x+3)dx(where C is constant of integration)

37. In a right triangle the hypotenuse is 2\sqrt{}2 times the perpendicular drawn from the opposite vertex. Then the other acute angles of the triangle are?

Square of number 37 can be found in two steps.What is a?

Question 1(x) Find the cube root of each of the following numbers by prime factorization method: 91125

In a ΔABC, AB = BC and ∠B = 64°. Find ∠C.

Simplify: (3pq+3qr)2−18pq2r

Solve : 5x−13(x+1)=6(x+130)

What are the factors of 81a^4+(x-2a)(x-5a)(x-8a)(x-11a) ?

Discuss the difference between one cubit and one yard.

Two angles form a linear pair. They are represented by x + 30 and 3x - 10 respectively. What are the measures of the angles?

Question 85(v) The pie chart given below shows the result of a survey carried out on 72 childeren to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. How many children use taxi to travel to school?

Find the value of ‘A’ &amp; ‘B’ from the following ? 3 A+2 5 ––––– B 2 –––––

Factorise 9z2 - x2 + 4xy - 4y2

Find the value of ‘A’ & ‘B’ from the following ? 3 A+2 5 ––––– B 2 –––––