25365 + Interview Questions in Mathematics Page 93 InterviewSolution

4601.	Question 9 Describe the construction of a kaleidoscope.
Answer» Question 9 Describe the construction of a kaleidoscope.

Discussion

4602.	Roma borrowed Rs. 64000 from a bank for 112 years at the rate of 10% per annum. Compute the total compound interest payable by Roma after 112 years, if the interest is compounded half-yearly.
Answer» Roma borrowed Rs. 64000 from a bank for $1 \frac{1}{2}$ years at the rate of $10 %$ per annum. Compute the total compound interest payable by Roma after $1 \frac{1}{2}$ years, if the interest is compounded half-yearly.

Discussion

4603.	Solve the following pairs of equation by reducing them to a pair of linear equations. 10x+y+2x−y=4...(i)15x+y−5x−y=−2...(ii)
Answer» Solve the following pairs of equation by reducing them to a pair of linear equations. $\frac{10}{x + y} + \frac{2}{x - y} = 4... (i) \frac{15}{x + y} - \frac{5}{x - y} = - 2... (i i)$

Discussion

4604.	Construct a quadrilateral BEAR in which BE = 6 cm, EA = 7 cm, RB = RE = 5 cm and BA = 9 cm. Measure its fourth side.
Answer» Construct a quadrilateral BEAR in which BE = 6 cm, EA = 7 cm, RB = RE = 5 cm and BA = 9 cm. Measure its fourth side.

Discussion

4605.	The value of log of b to the base a=3/2 and the value of log of d to the base c=5/4. If a,b,c,d are positive integers and a-c=9, find the value of b-d.
Answer» The value of log of b to the base a=3/2 and the value of log of d to the base c=5/4. If a,b,c,d are positive integers and a-c=9, find the value of b-d.

Discussion

4606.	The given solids are made up of small cubes of side 1 cm. Which of these solids are formed of more number of small cubes?
Answer» The given solids are made up of small cubes of side 1 cm. Which of these solids are formed of more number of small cubes?

Discussion

4607.	Find the centre and radius of the circle given by the equation: x2 + y2 + 26x + 34y + 97 = 0.
Answer» Find the centre and radius of the circle given by the equation: $x^{2}$ + $y^{2}$ + 26x + 34y + 97 = 0.

Discussion

4608.	Factorise:254x2-19y2
Answer» Factorise: $(\frac{25}{4} x^{2} - \frac{1}{9} y^{2})$

Discussion

4609.	Factorize: x3−(x−z)3
Answer» Factorize: $x^{3} - (x - z)^{3}$

Discussion

4610.	Question 6 Two adjacent angles of a parallelogram have equal measure. Find the measure of the angles of the parallelogram.
Answer» Question 6 Two adjacent angles of a parallelogram have equal measure. Find the measure of the angles of the parallelogram.

Discussion

4611.	If we have 3 red balls, 7 black balls , 4 green balls in a bag and we randomly pick up 4 balls, what is the probability of getting all four balls as blac
Answer» If we have 3 red balls, 7 black balls , 4 green balls in a bag and we randomly pick up 4 balls, what is the probability of getting all four balls as blac

Discussion

4612.	Which of the following identities is not applicable to simplify(4x+5y)2 - (5x+4y)2?
Answer» Which of the following identities is not applicable to simplify $(4 x + 5 y)^{2}$ - $(5 x + 4 y)^{2}$ ?

Discussion

4613.	Question 8The following table gives the frequencies of most commonly used letters a, e, i, o, r, t, u, from a page of a book.LettersaeiortuFrequency751258070809575Represent the information above in a bar graph.
Answer» Question 8 The following table gives the frequencies of most commonly used letters a, e, i, o, r, t, u, from a page of a book. $\begin{matrix} Letters & a & e & i & o & r & t & u Frequency & 75 & 125 & 80 & 70 & 80 & 95 & 75 \end{matrix}$ Represent the information above in a bar graph.

Discussion

4614.	A retailer buys a per for Rs 335. He sells it for Rs 400. If he makes a profit of Rs 50, what are his overhead expenses?
Answer» A retailer buys a per for Rs 335. He sells it for Rs 400. If he makes a profit of Rs 50, what are his overhead expenses?

Discussion

4615.	{ A square matrix }P satisfies }P^2=I-P , where }I is }}{ identity matrix. If }P^n=13I-21P , then }n is
Answer» { A square matrix }P satisfies }P^2=I-P , where }I is }}{ identity matrix. If }P^n=13I-21P , then }n is

Discussion

4616.	Question 102By what number should we multiply (−29)0, so that the product becomes (+29)0
Answer» Question 102 By what number should we multiply $(- 29)^{0},$ so that the product becomes $(+ 29)^{0}$

4616.

Question 102By what number should we multiply (−29)0, so that the product becomes (+29)0

Answer»

Question 102

By what number should we multiply $(- 29)^{0},$ so that the product becomes $(+ 29)^{0}$

Discussion

4617.	Factorise the trinomial 2x2+7x+6.
Answer» Factorise the trinomial $2 x^{2} + 7 x + 6$ .

Discussion

4618.	We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, ∠ABC=130∘, ∠DAC=15∘, ∠CAB=25∘, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?
Answer» We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, $∠ A B C = 130^{\circ}$ , $∠ D A C = 15^{\circ}$ , $∠ C A B = 25^{\circ}$ , AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?

Discussion

4619.	The standard form of 234000000 is:
Answer» The standard form of 234000000 is:

Discussion

4620.	If ab+ba=-1 then (a3 − b3) = ?(a) −3(b) −2(c) −1(d) 0
Answer» If $\frac{a}{b} + \frac{b}{a} = - 1$ then (a³ − b³) = ? (a) −3 (b) −2 (c) −1 (d) 0

Discussion

4621.	Compute the value of 9.22−0.82
Answer» Compute the value of ${9.2}^{2} - {0.8}^{2}$

Discussion

4622.	Find last two digits of 2^999
Answer» Find last two digits of 2^999

Discussion

4623.	In a quadrilateral ABCD, ∠A+∠D=90∘ Prove that AC2+BD2=AD2+BC2
Answer» In a quadrilateral ABCD, $∠ A + ∠ D = 90^{\circ}$ Prove that $A C^{2} + B D^{2} = A D^{2} + B C^{2}$

Discussion

4624.	The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 32. Find the rational number.
Answer» The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is $\frac{3}{2}$ . Find the rational number.

Discussion

4625.	What is the cube of 47?
Answer» What is the cube of $\frac{4}{7}$ ?

Discussion

4626.	Which of the following are known as types of transformations?
Answer» Which of the following are known as types of transformations?

Discussion

4627.	Question 5(iv)Show that: (4pq+3q)2−(4pq−3q)2=48pq2
Answer» Question 5(iv) Show that: $(4 p q + 3 q)^{2} - (4 p q - 3 q)^{2} = 48 p q^{2}$

Discussion

4628.	Using suitable identities, find the value of 1023.1061208
Answer» Using suitable identities, find the value of $102^{3}$ . 1061208

Discussion

4629.	A faster train takes one hour less than a slower train for a journey of 200 km. If the speed of the slower train is 10 kmph less than that of the faster train, find the speeds of two trains.
Answer» A faster train takes one hour less than a slower train for a journey of 200 km. If the speed of the slower train is 10 kmph less than that of the faster train, find the speeds of two trains.

Discussion

4630.

In a handloom factory different workers take different periods of time to weave a saree. The number of workers and their required periods are given below. Present the information by a frequency polygon. No. of days 8 - 10 10 - 12 12 - 14 14 - 16 16 - 18 18 - 20 No. of workers 5 16 30 40 35 14

Answer» In a handloom factory different workers take different periods of time to weave a saree. The number of workers and their required periods are given below. Present the information by a frequency polygon.

No. of days	8 - 10	10 - 12	12 - 14	14 - 16	16 - 18	18 - 20
No. of workers	5	16	30	40	35	14

Discussion

4631.	Question 17Abscissa of a point is positive inA) I and II quadrantsB) I and IV quadrantsC) I quadrantD) II quadrant
Answer» Question 17 Abscissa of a point is positive in A) I and II quadrants B) I and IV quadrants C) I quadrant D) II quadrant

Discussion

4632.	A tank is 8 m long, 6 m broad and 2 m high. How much water can it contain?
Answer» A tank is 8 m long, 6 m broad and 2 m high. How much water can it contain?

Discussion

4633.	The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. Its present value is Rs. 43740, find its purchased price.
Answer» The value of a machine depreciates at the rate of $10 %$ per annum. It was purchased $3$ years ago. Its present value is $R s . 43740,$ find its purchased price.

Discussion

4634.	Solve the following pair of equations.5x−1+1y−2=26x−1−3y−2=1Here, x ≠ 1 and y ≠ 2
Answer» Solve the following pair of equations. $\frac{5}{x - 1} + \frac{1}{y - 2} = 2$ $\frac{6}{x - 1} - \frac{3}{y - 2} = 1$ Here, x $\neq$ 1 and y $\neq$ 2

4634.

Solve the following pair of equations.5x−1+1y−2=26x−1−3y−2=1Here, x ≠ 1 and y ≠ 2

Answer»

Solve the following pair of equations.

$\frac{5}{x - 1} + \frac{1}{y - 2} = 2$

$\frac{6}{x - 1} - \frac{3}{y - 2} = 1$

Here, x $\neq$ 1 and y $\neq$ 2

Discussion

4635.	Out of 6 digit numbers formed by using digits 0, 1, 2, 3, 4, 5 without repetition, one is selected at random then the probability that the selected number is divisible by 25 is
Answer» Out of 6 digit numbers formed by using digits 0, 1, 2, 3, 4, 5 without repetition, one is selected at random then the probability that the selected number is divisible by 25 is

Discussion

4636.	The diameter of Earth is 1,27,56,000 m. Express the number in the standard form.
Answer» The diameter of Earth is $1, 27, 56, 000 m$ . Express the number in the standard form.

Discussion

4637.	The length of a rectangle is 3x−4y+6z and its perimeter is 8x+9y+18z. Breadth of the rectangle is
Answer» The length of a rectangle is $3 x - 4 y + 6 z$ and its perimeter is $8 x + 9 y + 18 z$ . Breadth of the rectangle is

Discussion

4638.	w x y z
Answer» w x y z

Discussion

4639.	Find all the angles in the following figure.
Answer» Find all the angles in the following figure.

4639.

Find all the angles in the following figure.

Answer»

Find all the angles in the following figure.

Discussion

4640.	Question 7Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 53 times the corresponding sides of the given triangle.
Answer» Question 7 Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are $\frac{5}{3}$ times the corresponding sides of the given triangle.

Discussion

4641.	Which mathematical operation is involved when we need to find probability of separate events involving 'OR'?
Answer» Which mathematical operation is involved when we need to find probability of separate events involving 'OR'?

Discussion

4642.	If (2x2−x−1)5 = a0+a1x+a2x2..............a10x10, then -(a0) = ___
Answer» If $(2 x^{2} - x - 1)^{5}$ = $a_{0} + a_{1} x + a_{2} x^{2} . . . . . . . . . . . . . . a_{10} x^{10}$ , then -( $a_{0}$ ) = ___

Discussion

4643.	how to take square roots of sqare root like sqare root of 20 is 2 root5
Answer» how to take square roots of sqare root like sqare root of 20 is 2 root5

Discussion

4644.	Solve : x−52−x−35=12
Answer» Solve : $\frac{x - 5}{2} - \frac{x - 3}{5} = \frac{1}{2}$

4644.

Solve : x−52−x−35=12

Answer»

Solve :

$\frac{x - 5}{2} - \frac{x - 3}{5} = \frac{1}{2}$

Discussion

4645.	Line 1: 4x+2y=6 and Line 2: y=px+q have infinite number of solutions, then p and q are
Answer» Line $1$ : $4 x + 2 y = 6$ and Line $2$ : $y = p x + q$ have infinite number of solutions, then $p$ and $q$ are

Discussion

4646.	Is it possible to construct a unique quadrilateral when 2sides,2 diagonals and an included angle is given?
Answer» Is it possible to construct a unique quadrilateral when 2sides,2 diagonals and an included angle is given?

Discussion

4647.	If (√1024)3=8x then x is _____.
Answer» If $(\sqrt{1024})^{3} = 8^{x}$ then x is _____.

Discussion

4648.	The product of two numbers is 110 and sum of their squares is 264, then the sum of these numbers can be (1) 22 (2)24 (3)20 (4)2
Answer» The product of two numbers is 110 and sum of their squares is 264, then the sum of these numbers can be (1) 22 (2)24 (3)20 (4)2

Discussion

4649.	When I make a loss on a sale, the relationship between selling price (SP) and cost price (CP) is
Answer» When I make a loss on a sale, the relationship between selling price (SP) and cost price (CP) is

Discussion

4650.	Diagonals of a parallelogram ABCD intersect at O. AL and CM are drawn perpendiculars to BD such that L and M neon BD. Is AL = CM ? Why or why not ?
Answer» Diagonals of a parallelogram ABCD intersect at O. AL and CM are drawn perpendiculars to BD such that L and M neon BD. Is AL = CM ? Why or why not ?

Discussion

Explore topic-wise InterviewSolutions in .

Question 9 Describe the construction of a kaleidoscope.

Roma borrowed Rs. 64000 from a bank for 112 years at the rate of 10% per annum. Compute the total compound interest payable by Roma after 112 years, if the interest is compounded half-yearly.

Solve the following pairs of equation by reducing them to a pair of linear equations. 10x+y+2x−y=4...(i)15x+y−5x−y=−2...(ii)

Construct a quadrilateral BEAR in which BE = 6 cm, EA = 7 cm, RB = RE = 5 cm and BA = 9 cm. Measure its fourth side.

The value of log of b to the base a=3/2 and the value of log of d to the base c=5/4. If a,b,c,d are positive integers and a-c=9, find the value of b-d.

The given solids are made up of small cubes of side 1 cm. Which of these solids are formed of more number of small cubes?

Find the centre and radius of the circle given by the equation: x2 + y2 + 26x + 34y + 97 = 0.

Factorise:254x2-19y2

Factorize: x3−(x−z)3

Question 6 Two adjacent angles of a parallelogram have equal measure. Find the measure of the angles of the parallelogram.

If we have 3 red balls, 7 black balls , 4 green balls in a bag and we randomly pick up 4 balls, what is the probability of getting all four balls as blac

Which of the following identities is not applicable to simplify(4x+5y)2 - (5x+4y)2?

Question 8The following table gives the frequencies of most commonly used letters a, e, i, o, r, t, u, from a page of a book.LettersaeiortuFrequency751258070809575Represent the information above in a bar graph.

A retailer buys a per for Rs 335. He sells it for Rs 400. If he makes a profit of Rs 50, what are his overhead expenses?

{ A square matrix }P satisfies }P^2=I-P , where }I is }}{ identity matrix. If }P^n=13I-21P , then }n is

Question 102By what number should we multiply (−29)0, so that the product becomes (+29)0

Factorise the trinomial 2x2+7x+6.

We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, ∠ABC=130∘, ∠DAC=15∘, ∠CAB=25∘, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?

The standard form of 234000000 is:

If ab+ba=-1 then (a3 − b3) = ?(a) −3(b) −2(c) −1(d) 0

Compute the value of 9.22−0.82

Find last two digits of 2^999

In a quadrilateral ABCD, ∠A+∠D=90∘ Prove that AC2+BD2=AD2+BC2

The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 32. Find the rational number.

What is the cube of 47?

Which of the following are known as types of transformations?

Question 5(iv)Show that: (4pq+3q)2−(4pq−3q)2=48pq2

Using suitable identities, find the value of 1023.1061208

A faster train takes one hour less than a slower train for a journey of 200 km. If the speed of the slower train is 10 kmph less than that of the faster train, find the speeds of two trains.

In a handloom factory different workers take different periods of time to weave a saree. The number of workers and their required periods are given below. Present the information by a frequency polygon. No. of days 8 - 10 10 - 12 12 - 14 14 - 16 16 - 18 18 - 20 No. of workers 5 16 30 40 35 14

Question 17Abscissa of a point is positive inA) I and II quadrantsB) I and IV quadrantsC) I quadrantD) II quadrant

A tank is 8 m long, 6 m broad and 2 m high. How much water can it contain?

The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. Its present value is Rs. 43740, find its purchased price.

Solve the following pair of equations.5x−1+1y−2=26x−1−3y−2=1Here, x ≠ 1 and y ≠ 2

Out of 6 digit numbers formed by using digits 0, 1, 2, 3, 4, 5 without repetition, one is selected at random then the probability that the selected number is divisible by 25 is

The diameter of Earth is 1,27,56,000 m. Express the number in the standard form.

The length of a rectangle is 3x−4y+6z and its perimeter is 8x+9y+18z. Breadth of the rectangle is

w x y z

Find all the angles in the following figure.

Question 7Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 53 times the corresponding sides of the given triangle.

Which mathematical operation is involved when we need to find probability of separate events involving 'OR'?

If (2x2−x−1)5 = a0+a1x+a2x2..............a10x10, then -(a0) = ___

how to take square roots of sqare root like sqare root of 20 is 2 root5

Solve : x−52−x−35=12

Line 1: 4x+2y=6 and Line 2: y=px+q have infinite number of solutions, then p and q are

Is it possible to construct a unique quadrilateral when 2sides,2 diagonals and an included angle is given?

If (√1024)3=8x then x is _____.

The product of two numbers is 110 and sum of their squares is 264, then the sum of these numbers can be (1) 22 (2)24 (3)20 (4)2

When I make a loss on a sale, the relationship between selling price (SP) and cost price (CP) is

Diagonals of a parallelogram ABCD intersect at O. AL and CM are drawn perpendiculars to BD such that L and M neon BD. Is AL = CM ? Why or why not ?