24740 + Interview Questions in Mathematics Page 172 InterviewSolution

8551.	An electronics goods store sold 20 Nokia handsets, 45 Samsung handsets, 25 Sony Ericsson and 10 handsets of other companies.What is the probability that a set sold will be a Samsung?
Answer» An electronics goods store sold 20 Nokia handsets, 45 Samsung handsets, 25 Sony Ericsson and 10 handsets of other companies.What is the probability that a set sold will be a Samsung?

Discussion

8552.	The perimeter of a rhombus is 52 cm. If one diagonal is 24 cm, then its area is ___ cm2.
Answer» The perimeter of a rhombus is 52 cm. If one diagonal is 24 cm, then its area is ___ $c m^{2}$ .

Discussion

8553.	Question 38Find the coordinates of all letters in the graph given below.
Answer» Question 38 Find the coordinates of all letters in the graph given below.

Discussion

8554.	Given lines l1 l2 and l3 in fig., are parallel. The value of x is :
Answer» Given lines l₁ l₂ and l₃ in fig., are parallel. The value of x is :

8554.

Given lines l1 l2 and l3 in fig., are parallel. The value of x is :

Answer»

Given lines l₁ l₂ and l₃ in fig., are parallel. The value of x is :

Discussion

8555.	The point (-2, -1) lies in ____________
Answer» The point (-2, -1) lies in ____________

Discussion

8556.	In the given diagram, identify the points which are equidistant from point B.
Answer» In the given diagram, identify the points which are equidistant from point B.

Discussion

8557.	Question 108(iii)Verify the property x×y=y×x of rational numbers by usingx=−57 and y=1415
Answer» Question 108(iii) Verify the property $x \times y = y \times x$ of rational numbers by using $x = \frac{- 5}{7}$ and $y = \frac{14}{15}$

Discussion

8558.	The height (OC) of a square pyramid shaped toy with all equal edges of dimension 12 in is in.
Answer» The height (OC) of a square pyramid shaped toy with all equal edges of dimension 12 in is in.

Discussion

8559.	By using variables x and y form any five linear equations in two variables.
Answer» By using variables x and y form any five linear equations in two variables.

Discussion

8560.	In the figure below, lines XY and MN intersect at point O. If ∠POY = 90∘ and ∠A:∠B=2:3, find (∠ C)2.
Answer» In the figure below, lines XY and MN intersect at point O. If $∠ P O Y$ = $90^{\circ}$ and $∠ A : ∠ B = 2 : 3$ , $find \frac{(∠ C)}{2}$ .

8560.

In the figure below, lines XY and MN intersect at point O. If ∠POY = 90∘ and ∠A:∠B=2:3, find (∠ C)2.

Answer»

In the figure below, lines XY and MN intersect at point O. If $∠ P O Y$ = $90^{\circ}$ and $∠ A : ∠ B = 2 : 3$ , $find \frac{(∠ C)}{2}$ .

Discussion

8561.	The area of a rectangle is 96 cm2 and its length is 12 cm. The perimeter of the rectangle is same as the perimeter of a triangle. Find the semi perimeter of the triangle.
Answer» The area of a rectangle is $96 c m^{2}$ and its length is $12 c m$ . The perimeter of the rectangle is same as the perimeter of a triangle. Find the semi perimeter of the triangle.

Discussion

8562.	A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on the removed card is k, then k−20=
Answer» A pack contains $n$ cards numbered from $1$ to $n$ . Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is $1224$ . If the smaller of the numbers on the removed card is $k$ , then $k - 20 =$

Discussion

8563.	Use fractions to write the part of the whole shape that is shaded?
Answer» Use fractions to write the part of the whole shape that is shaded?

Discussion

8564.	Which of the following is a correct statement?(a) Sum of two irrational numbers is always irrational(b) Sum of a rational and irrational number is always an irrational number(c) Square of an irrational number is always a rational number(d) Sum of two rational numbers can never be an integer
Answer» Which of the following is a correct statement? (a) Sum of two irrational numbers is always irrational (b) Sum of a rational and irrational number is always an irrational number (c) Square of an irrational number is always a rational number (d) Sum of two rational numbers can never be an integer

Discussion

8565.	If a solid hemisphere of radius 8 cm is melted and recast into n spheres of radius 2 cm each, then n = _________.
Answer» If a solid hemisphere of radius 8 cm is melted and recast into n spheres of radius 2 cm each, then n = _________.

Discussion

8566.	AB and CD are two parallel chords of a circle with centre O such that AB = 6 cm and CD = 12 cm. The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is(a) 6 cm(b) 52 cm(c) 7 cm(d) 35 cm
Answer» AB and CD are two parallel chords of a circle with centre O such that AB = 6 cm and CD = 12 cm. The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is (a) 6 cm (b) $5 \sqrt{2} cm$ (c) 7 cm (d) $3 \sqrt{5} cm$

Discussion

8567.	Question 3Write True or False and justify your answer :The congruent circles with centres O and O' intersect at two points A and B. Then ∠AOB=∠AO′B.
Answer» Question 3 Write True or False and justify your answer : The congruent circles with centres O and O' intersect at two points A and B. Then $∠ A O B = ∠ A O^{'} B$ .

Discussion

8568.	In the figure below, the curved lines are all arcs of circles centred on the vertices of the triangle. What is the area of this figure?
Answer» In the figure below, the curved lines are all arcs of circles centred on the vertices of the triangle. What is the area of this figure?

8568.

In the figure below, the curved lines are all arcs of circles centred on the vertices of the triangle. What is the area of this figure?

Answer»

In the figure below, the curved lines are all arcs of circles centred on the vertices of the triangle.

What is the area of this figure?

Discussion

8569.	Simplify √175.
Answer» Simplify $\sqrt{175}$ .

Discussion

8570.	The value of x represented by following set of tiles is .
Answer» The value of x represented by following set of tiles is .

Discussion

8571.	A marble tile measures 10 cm × 12 cm. How many tiles will be required to cover a wall of size 3 m × 4 m?Also, find the total cost of the tiles at the rate of Rs 2 per tile.
Answer» A marble tile measures 10 cm $\times$ 12 cm. How many tiles will be required to cover a wall of size 3 m $\times$ 4 m? Also, find the total cost of the tiles at the rate of Rs 2 per tile.

Discussion

8572.	Find the value of the following(i) sin60∘cos30∘+cos60∘sin30∘(ii) cos30∘cos60∘–sin30∘sin60∘
Answer» Find the value of the following $(i) sin 60^{\circ} cos 30^{\circ} + cos 60^{\circ} sin 30^{\circ}$ $(i i) cos 30^{\circ} cos 60^{\circ} - sin 30^{\circ} sin 60^{\circ}$

Discussion

8573.	Find m of (x-2) is a factor of 2x3 -6x+5x
Answer» Find m of (x-2) is a factor of 2x^{3 -6x+5x}

Discussion

8574.	A heap of wheat is in the form of a cone, whose diameter is 10.5 m and height 7 m. Find the volume of wheat in the heap. The heap is to be covered by canvas to protect it from rain, find the area of the canvas required.
Answer» A heap of wheat is in the form of a cone, whose diameter is 10.5 m and height 7 m. Find the volume of wheat in the heap. The heap is to be covered by canvas to protect it from rain, find the area of the canvas required.

Discussion

8575.	Juice is filled upto 64 cm in a cylindrical container of radius 30 cm. It is served in small cylindrical cups of radius 6 cm and height 16 cm. If each cup is sold at Rs. 3, how much money can be earned by selling the juice?
Answer» Juice is filled upto 64 cm in a cylindrical container of radius 30 cm. It is served in small cylindrical cups of radius 6 cm and height 16 cm. If each cup is sold at Rs. 3, how much money can be earned by selling the juice?

Discussion

8576.	△ABC∼ΔXYZ and the ratio of the corresponding sides of ΔXYZ and ΔABC is 2:1. Find the measure of sides XY, YZ and ZX.
Answer» $△ ABC \sim Δ XYZ$ and the ratio of the corresponding sides of $Δ XYZ$ and $Δ ABC$ is 2:1. Find the measure of sides XY, YZ and ZX.

Discussion

8577.	The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O . If ∠DAC=35∘ and ∠AOB=80∘,then find the value of ∠DBC.
Answer» $The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O . If ∠ D A C = 35^{\circ} and ∠ A O B = 80^{\circ}, then find the value of ∠ D B C .$

Discussion

8578.	Question 77 (iii)From the following table determine if x and y are in direct proportion or not.
Answer» Question 77 (iii) From the following table determine if x and y are in direct proportion or not.

8578.

Question 77 (iii)From the following table determine if x and y are in direct proportion or not.

Answer»

Question 77 (iii)

From the following table determine if x and y are in direct proportion or not.

Discussion

8579.	x3 + 8y3 + 6x2y + 12xy2
Answer» x³ + 8y³ + 6x²y + 12xy²

Discussion

8580.	If (7,3), (6,1), (8,2) and (p,q) are the vertices of a parallelogram, taken in order, then the value of p is9
Answer» If (7,3), (6,1), (8,2) and (p,q) are the vertices of a parallelogram, taken in order, then the value of p is 9

Discussion

8581.	Question 4The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.
Answer» Question 4 The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

Discussion

8582.	Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is W, the weight of the same object on that planet will be :
Answer» Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is $W$ , the weight of the same object on that planet will be :

Discussion

8583.	Question 1 (i) Fill in the blanks: (i) The centre of a circle lies in the __________ of the circle. (exterior/ interior)
Answer» Question 1 (i) Fill in the blanks: (i) The centre of a circle lies in the __________ of the circle. (exterior/ interior)

Discussion

8584.	Rationalising √2+√3√3−√2 will give __________.
Answer» Rationalising $\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3} - \sqrt{2}}$ will give __________.

Discussion

8585.

Calculate the amount of sports material to be transferred to income and Expenditure Account of Raman Bhalla Sports Club, Ludhiana, for the year ended 31st March, 2018: Particulars (₹) (i) Sports material sold during the year (Book Value ₹ 50,000) 56,000 (ii) Amount paid to creditors for sports materials 91,000 (iii) Cash purchase of sports material 40,000 (iv) Sports material as on 31st March, 2017 50,000 (v) Sports material as on 31st March, 2018 55,000 (vi) Creditors for sports material as on 31st March, 2017 37,000 (vii) Creditors for sports material as on 31st March, 2018 45,000

Answer» Calculate the amount of sports material to be transferred to income and Expenditure Account of Raman Bhalla Sports Club, Ludhiana, for the year ended 31st March, 2018:

	Particulars	(₹)
(i)	Sports material sold during the year (Book Value ₹ 50,000)	56,000
(ii)	Amount paid to creditors for sports materials	91,000
(iii)	Cash purchase of sports material	40,000
(iv)	Sports material as on 31st March, 2017	50,000
(v)	Sports material as on 31st March, 2018	55,000
(vi)	Creditors for sports material as on 31st March, 2017	37,000
(vii)	Creditors for sports material as on 31st March, 2018	45,000

Discussion

8586.	Question 10 (ii)A piggy bank contains hundred 50 p coins, fifty Re. 1 coins, twenty Rs. 2 coins and ten Rs. 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will not be a Rs. 5 coin?
Answer» Question 10 (ii) A piggy bank contains hundred 50 p coins, fifty Re. 1 coins, twenty Rs. 2 coins and ten Rs. 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will not be a Rs. 5 coin?

Discussion

8587.	Sheela and Meena together have 30 coins. If Sheela gives 5 coins to Meena, Meena will have double the number of coins Sheela has. Plot the points on the graph. Also, find the solution of the equations.
Answer» Sheela and Meena together have 30 coins. If Sheela gives 5 coins to Meena, Meena will have double the number of coins Sheela has. Plot the points on the graph. Also, find the solution of the equations.

Discussion

8588.	Which of the following rational numbers lies between 2 and 92 ?
Answer» Which of the following rational numbers lies between 2 and $\frac{9}{2}$ ?

Discussion

8589.	You know that. Can you predict what the decimal expansion of are, without actually doing the long division? If so, how?[Hint: Study the remainders while finding the value of carefully.]
Answer» You know that. Can you predict what the decimal expansion of are, without actually doing the long division? If so, how? [Hint: Study the remainders while finding the value of carefully.]

8589.

You know that. Can you predict what the decimal expansion of are, without actually doing the long division? If so, how?[Hint: Study the remainders while finding the value of carefully.]

Answer»

You know that. Can you predict what the decimal expansion of are, without actually doing the long division? If so, how?

[Hint: Study the remainders while finding the value of carefully.]

Discussion

8590.	If the measures of two of the angles of a triangle are 25 degrees and 60 degrees, then the third angle is _____.
Answer» If the measures of two of the angles of a triangle are 25 degrees and 60 degrees, then the third angle is _____.

Discussion

8591.	Statement All tables are chairs All chairs are telephones All telephones are cell phones No cell phone is computer. Conclusions I. All cell phones are chairs II. Some tables are computers III. No table is computer
Answer» Statement All tables are chairs All chairs are telephones All telephones are cell phones No cell phone is computer. Conclusions I. All cell phones are chairs II. Some tables are computers III. No table is computer

8591.

Statement All tables are chairs All chairs are telephones All telephones are cell phones No cell phone is computer. Conclusions I. All cell phones are chairs II. Some tables are computers III. No table is computer

Answer»

Statement

All tables are chairs

All chairs are telephones

All telephones are cell phones

No cell phone is computer.

Conclusions

I. All cell phones are chairs

II. Some tables are computers

III. No table is computer

Discussion

8592.	In the given figure, ABDE and BCDE are parallelograms. If ar(CFD)=x, then ar(ACDE):ar(BED) equals
Answer» In the given figure, ABDE and BCDE are parallelograms. If $a r (C F D) = x, t h e n a r (A C D E) : a r (B E D)$ equals

Discussion

8593.	1+cos A1-cos A=?(a) cosec A – cot A(b) cosec A + cot A(c) cosec A cot A(d) none of these
Answer» $\sqrt{\frac{1 + \cos A}{1 - \cos A}} = ?$ (a) cosec A – cot A (b) cosec A + cot A (c) cosec A cot A (d) none of these

Discussion

8594.	Fill in the blanks i) tan 48∘.tan 23∘.tan 42∘.tan 67∘ = ___ ii) cos 38∘.cos 52∘−sin 38∘.sin 52∘ = ___
Answer» Fill in the blanks i) $t a n 48^{\circ} . t a n 23^{\circ} . t a n 42^{\circ} . t a n 67^{\circ}$ = ___ ii) $c o s 38^{\circ} . c o s 52^{\circ} - s i n 38^{\circ} . s i n 52^{\circ}$ = ___

Discussion

8595.	prove that the diagonal of a parallelogram divides it into two Triangles of equal area
Answer» prove that the diagonal of a parallelogram divides it into two Triangles of equal area

Discussion

8596.	P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. Show that area of ΔAPB = area of ΔBQC. [2 MARK]
Answer» P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. Show that area of ΔAPB = area of ΔBQC. [2 MARK]

Discussion

8597.	From Bangalore bus stand, if we buy 2 tickets to Malleshwaram and 3 tickets to Yeshwanthpur, the total cost is Rs. 46; but if we buy 3 tickets to Malleshwaram and 5 tickets to Yeshwanthpur, then the total cost is Rs. 74. Find the fares from Bangalore bus stand to Malleshwaram and Yeshwanthpur.
Answer» From Bangalore bus stand, if we buy 2 tickets to Malleshwaram and 3 tickets to Yeshwanthpur, the total cost is Rs. 46; but if we buy 3 tickets to Malleshwaram and 5 tickets to Yeshwanthpur, then the total cost is Rs. 74. Find the fares from Bangalore bus stand to Malleshwaram and Yeshwanthpur.

Discussion

8598.	Which of the following cannot be a part of a set of rational numbers?
Answer» Which of the following cannot be a part of a set of rational numbers?

Discussion

8599.	Distance of chord AB from the centre of a circle is 8 cm. Length of the chord AB is 12 cm. Find the diameter of the circle.
Answer» Distance of chord AB from the centre of a circle is 8 cm. Length of the chord AB is 12 cm. Find the diameter of the circle.

Discussion

8600.	Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:(i) 3x2 − 4x + 15(ii) y2 + 23(iii) 3x+2x(iv) x-4x(v) x12 + y3 + t50
Answer» Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: (i) 3x² − 4x + 15 (ii) y² + 2 $\sqrt{3}$ (iii) $3 \sqrt{x} + \sqrt{2} x$ (iv) $x - \frac{4}{x}$ (v) x¹² + y³ + t⁵⁰

Discussion

Explore topic-wise InterviewSolutions in .

An electronics goods store sold 20 Nokia handsets, 45 Samsung handsets, 25 Sony Ericsson and 10 handsets of other companies.What is the probability that a set sold will be a Samsung?

The perimeter of a rhombus is 52 cm. If one diagonal is 24 cm, then its area is ___ cm2.

Question 38Find the coordinates of all letters in the graph given below.

Given lines l1 l2 and l3 in fig., are parallel. The value of x is :

The point (-2, -1) lies in ____________

In the given diagram, identify the points which are equidistant from point B.

Question 108(iii)Verify the property x×y=y×x of rational numbers by usingx=−57 and y=1415

The height (OC) of a square pyramid shaped toy with all equal edges of dimension 12 in is in.

By using variables x and y form any five linear equations in two variables.

In the figure below, lines XY and MN intersect at point O. If ∠POY = 90∘ and ∠A:∠B=2:3, find (∠ C)2.

The area of a rectangle is 96 cm2 and its length is 12 cm. The perimeter of the rectangle is same as the perimeter of a triangle. Find the semi perimeter of the triangle.

A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on the removed card is k, then k−20=

Use fractions to write the part of the whole shape that is shaded?

Which of the following is a correct statement?(a) Sum of two irrational numbers is always irrational(b) Sum of a rational and irrational number is always an irrational number(c) Square of an irrational number is always a rational number(d) Sum of two rational numbers can never be an integer

If a solid hemisphere of radius 8 cm is melted and recast into n spheres of radius 2 cm each, then n = _________.

AB and CD are two parallel chords of a circle with centre O such that AB = 6 cm and CD = 12 cm. The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is(a) 6 cm(b) 52 cm(c) 7 cm(d) 35 cm

Question 3Write True or False and justify your answer :The congruent circles with centres O and O' intersect at two points A and B. Then ∠AOB=∠AO′B.

In the figure below, the curved lines are all arcs of circles centred on the vertices of the triangle. What is the area of this figure?

Simplify √175.

The value of x represented by following set of tiles is .

A marble tile measures 10 cm × 12 cm. How many tiles will be required to cover a wall of size 3 m × 4 m?Also, find the total cost of the tiles at the rate of Rs 2 per tile.

Find the value of the following(i) sin60∘cos30∘+cos60∘sin30∘(ii) cos30∘cos60∘–sin30∘sin60∘

Find m of (x-2) is a factor of 2x3 -6x+5x

A heap of wheat is in the form of a cone, whose diameter is 10.5 m and height 7 m. Find the volume of wheat in the heap. The heap is to be covered by canvas to protect it from rain, find the area of the canvas required.

Juice is filled upto 64 cm in a cylindrical container of radius 30 cm. It is served in small cylindrical cups of radius 6 cm and height 16 cm. If each cup is sold at Rs. 3, how much money can be earned by selling the juice?

△ABC∼ΔXYZ and the ratio of the corresponding sides of ΔXYZ and ΔABC is 2:1. Find the measure of sides XY, YZ and ZX.

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O . If ∠DAC=35∘ and ∠AOB=80∘,then find the value of ∠DBC.

Question 77 (iii)From the following table determine if x and y are in direct proportion or not.

x3 + 8y3 + 6x2y + 12xy2

If (7,3), (6,1), (8,2) and (p,q) are the vertices of a parallelogram, taken in order, then the value of p is9

Question 4The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is W, the weight of the same object on that planet will be :

Question 1 (i) Fill in the blanks: (i) The centre of a circle lies in the __________ of the circle. (exterior/ interior)

Rationalising √2+√3√3−√2 will give __________.

Question 10 (ii)A piggy bank contains hundred 50 p coins, fifty Re. 1 coins, twenty Rs. 2 coins and ten Rs. 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will not be a Rs. 5 coin?

Sheela and Meena together have 30 coins. If Sheela gives 5 coins to Meena, Meena will have double the number of coins Sheela has. Plot the points on the graph. Also, find the solution of the equations.

Which of the following rational numbers lies between 2 and 92 ?

You know that. Can you predict what the decimal expansion of are, without actually doing the long division? If so, how?[Hint: Study the remainders while finding the value of carefully.]

If the measures of two of the angles of a triangle are 25 degrees and 60 degrees, then the third angle is _____.

Statement All tables are chairs All chairs are telephones All telephones are cell phones No cell phone is computer. Conclusions I. All cell phones are chairs II. Some tables are computers III. No table is computer

In the given figure, ABDE and BCDE are parallelograms. If ar(CFD)=x, then ar(ACDE):ar(BED) equals

1+cos A1-cos A=?(a) cosec A – cot A(b) cosec A + cot A(c) cosec A cot A(d) none of these

Fill in the blanks i) tan 48∘.tan 23∘.tan 42∘.tan 67∘ = ___ ii) cos 38∘.cos 52∘−sin 38∘.sin 52∘ = ___

prove that the diagonal of a parallelogram divides it into two Triangles of equal area

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. Show that area of ΔAPB = area of ΔBQC. [2 MARK]

From Bangalore bus stand, if we buy 2 tickets to Malleshwaram and 3 tickets to Yeshwanthpur, the total cost is Rs. 46; but if we buy 3 tickets to Malleshwaram and 5 tickets to Yeshwanthpur, then the total cost is Rs. 74. Find the fares from Bangalore bus stand to Malleshwaram and Yeshwanthpur.

Which of the following cannot be a part of a set of rational numbers?

Distance of chord AB from the centre of a circle is 8 cm. Length of the chord AB is 12 cm. Find the diameter of the circle.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:(i) 3x2 − 4x + 15(ii) y2 + 23(iii) 3x+2x(iv) x-4x(v) x12 + y3 + t50

Fill in the blanks i) tan 48∘.tan 23∘.tan 42∘.tan 67∘ = _ ii) cos 38∘.cos 52∘−sin 38∘.sin 52∘ = _