19743 + Interview Questions in Mathematics Page 194 InterviewSolution

9651.	Prove that, if the bisector of ∠BAC of ∆ABC is perpendicular to side BC, then ∆ABC is an isosceles triangle.
Answer» Prove that, if the bisector of $∠$ BAC of $∆$ ABC is perpendicular to side BC, then $∆$ ABC is an isosceles triangle.

Discussion

9652.	21.One root of the equation Cosx - x + 1/2 = 0, lies in the interval
Answer» 21.One root of the equation Cosx - x + 1/2 = 0, lies in the interval

Discussion

9653.	how many tiles whoes length and breadth are 13cm and 7 cm respectively are needed to cover a rec†an gular region whose lenghth and breadth are 540cm and 140 cm
Answer» how many tiles whoes length and breadth are 13cm and 7 cm respectively are needed to cover a rec†an gular region whose lenghth and breadth are 540cm and 140 cm

Discussion

9654.	9. If an angle is eight times its complementary angle then the measure of the angle is
Answer» 9. If an angle is eight times its complementary angle then the measure of the angle is

Discussion

9655.	P varies directly as cube of r. P=26 when r=2. When r=4,P equals208
Answer» $P$ varies directly as cube of $r$ . $P = 26$ when $r = 2$ . When $r = 4, P$ equals 208

Discussion

9656.	In the two rooms of Family Restaurant, Number of people sitting around each table in both rooms must be equal. A maximum of 54 people can sit in the first room and 36 people in the second. How many maximum chairs can be around each table?
Answer» In the two rooms of Family Restaurant, Number of people sitting around each table in both rooms must be equal. A maximum of 54 people can sit in the first room and 36 people in the second. How many maximum chairs can be around each table?

Discussion

9657.	The cars of Anita and John start their cars from the center of the street in opposite directions. Both the cars reach a certain distance, which is 3 miles away from the center of the street. Does this mean that both the cars are at a same place? (Answer in Yes or No)
Answer» The cars of Anita and John start their cars from the center of the street in opposite directions. Both the cars reach a certain distance, which is 3 miles away from the center of the street. Does this mean that both the cars are at a same place? (Answer in Yes or No)

Discussion

9658.	What is the value of the expression aman?
Answer» What is the value of the expression $\frac{a^{m}}{a^{n}}$ ?

Discussion

9659.	In the figure below, x = 30∘. The value of (6y – 3x) is ___.
Answer» In the figure below, x = $30^{\circ}$ . The value of (6y – 3x) is ___.

9659.

In the figure below, x = 30∘. The value of (6y – 3x) is ___.

Answer»

In the figure below, x = $30^{\circ}$ . The value of (6y – 3x) is ___.

Discussion

9660.	Find the fourth proportion to 1.2, 1.6 and 7.2.
Answer» Find the fourth proportion to 1.2, 1.6 and 7.2.

Discussion

9661.	Out of 547 km, a rabbit covered 227 km. How much distance is still left to be covered?
Answer» Out of $5 \frac{4}{7} k m$ , a rabbit covered $2 \frac{2}{7} k m$ . How much distance is still left to be covered?

Discussion

9662.	The measure of angle ACB is .
Answer» The measure of angle ACB is .

Discussion

9663.	Question 75 (i) Give three rational numbers equivalent to −34
Answer» Question 75 (i) Give three rational numbers equivalent to $\frac{- 3}{4}$

9663.

Question 75 (i) Give three rational numbers equivalent to −34

Answer»

Question 75 (i)

Give three rational numbers equivalent to
$\frac{- 3}{4}$

Discussion

9664.	Write a pair of integers whose difference gives an integer smaller than both the integers.
Answer» Write a pair of integers whose difference gives an integer smaller than both the integers.

Discussion

9665.	40% of 150 + 60% of 150 =(a) 200(b) 150(c) 250(d) 180
Answer» 40% of 150 + 60% of 150 = (a) 200 (b) 150 (c) 250 (d) 180

Discussion

9666.	Solve the following:The maximum and minimum temperatures in a day are 35.1°C and 29.4°C respectively. Find the difference.
Answer» Solve the following: The maximum and minimum temperatures in a day are 35.1°C and 29.4°C respectively. Find the difference.

9666.

Solve the following:The maximum and minimum temperatures in a day are 35.1°C and 29.4°C respectively. Find the difference.

Answer»

Solve the following:

The maximum and minimum temperatures in a day are 35.1°C and 29.4°C respectively. Find the difference.

Discussion

9667.	ABCD is a quadrilateral in which AD = BC and ∠DAB=∠CBA(See the given figure). Prove thatΔABD≅ΔBAC
Answer» ABCD is a quadrilateral in which AD = BC and $∠ D A B = ∠ C B A$ (See the given figure). Prove that $Δ A B D ≅ Δ B A C$

Discussion

9668.	Question 2(a) Give first the step you will use to separate the variable and then solve the equation: 3l= 42
Answer» Question 2(a) Give first the step you will use to separate the variable and then solve the equation: 3l= 42

Discussion

9669.	In △ABC, if a=10 and bcotB+ccotC=2(r+R), then the maximum area(in sq.units) of △ABC is(Here usual notations are used for △ABC)
Answer» In $△ A B C,$ if $a = 10$ and $b cot B + c cot C = 2 (r + R),$ then the maximum area(in $sq.units$ ) of $△ A B C$ is (Here usual notations are used for $△ A B C$ )

Discussion

9670.	Prove that 2^n > n for all positive integers n
Answer» Prove that 2^n > n for all positive integers n

Discussion

9671.	Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of them. What is the fraction of 1 chocolate that has been eaten by Madhavi?
Answer» Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of them. What is the fraction of 1 chocolate that has been eaten by Madhavi?

Discussion

9672.	Write the following decimals as word statements:(i) 0.005, 0.207, 111.519(ii) 0.8, 0.08, 0.008, 0.0008(iii) 256.1, 10.22, 0.634
Answer» Write the following decimals as word statements: (i) 0.005, 0.207, 111.519 (ii) 0.8, 0.08, 0.008, 0.0008 (iii) 256.1, 10.22, 0.634

Discussion

9673.	Question 78 State whether the statement is True or False. It is possible to have a triangle in which two of the angles are right angles.
Answer» Question 78 State whether the statement is True or False. It is possible to have a triangle in which two of the angles are right angles.

9673.

Question 78 State whether the statement is True or False. It is possible to have a triangle in which two of the angles are right angles.

Answer»

Question 78

State whether the statement is True or False.

It is possible to have a triangle in which two of the angles are right angles.

Discussion

9674.	Check whether the following numbers are in continued proportion. (i) 2, 4, 8 (ii) 1, 2, 3 (iii) 9, 12, 16 (iv) 3, 5, 8
Answer» Check whether the following numbers are in continued proportion. (i) 2, 4, 8 (ii) 1, 2, 3 (iii) 9, 12, 16 (iv) 3, 5, 8

Discussion

9675.	Find the perimeters and area of the parallelograms given in figure. [3 MARKS]
Answer» Find the perimeters and area of the parallelograms given in figure. [3 MARKS]

9675.

Find the perimeters and area of the parallelograms given in figure. [3 MARKS]

Answer»

Find the perimeters and area of the parallelograms given in figure. [3 MARKS]

Discussion

9676.	A rabbit jumps 3 m at a time. If it covers a distance of 21 m, then how many times does it jump?7
Answer» A rabbit jumps 3 m at a time. If it covers a distance of 21 m, then how many times does it jump? 7

Discussion

9677.	In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram ABCD.
Answer» In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram ABCD.

9677.

In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram ABCD.

Answer»

In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram ABCD.

Discussion

9678.	Given below is a parallelogram. AB and CD are diagonals. If AO = x + y, OB = 5y, DO = 3x, OC = 12, then find x and y.
Answer» Given below is a parallelogram. AB and CD are diagonals. If AO = x + y, OB = 5y, DO = 3x, OC = 12, then find x and y.

Discussion

9679.

Following information relates to the marks securd by 50 students in Economics. Present the following information in the form of a table. Marks 0−10 10−20 20−30 30−40 Students 15 12 18 5

Answer» Following information relates to the marks securd by 50 students in Economics. Present the following information in the form of a table.

Marks	0−10	10−20	20−30	30−40
Students	15	12	18	5

Discussion

9680.	In an equilateral triangle ΔABC, AE is the angle bisector of ∠A, then the measure of ∠BAE is degrees.
Answer» In an equilateral triangle ΔABC, AE is the angle bisector of ∠A, then the measure of ∠BAE is degrees.

Discussion

9681.	What is closed loop line integral?
Answer» What is closed loop line integral?

Discussion

9682.	The number of ways in which we can choose a committee from four men and six women so that the committee includes at least two man and exactly twice as many women as men, is(a) 94(b) 126(C) 128(d) none of these
Answer» The number of ways in which we can choose a committee from four men and six women so that the committee includes at least two man and exactly twice as many women as men, is (a) 94 (b) 126 (C) 128 (d) none of these

Discussion

9683.	How many years will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest? __
Answer» How many years will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest? __

Discussion

9684.	If y is the reciprocal of rational number x, then the reciprocal of y will be ____.
Answer» If y is the reciprocal of rational number x, then the reciprocal of y will be ____.

Discussion

9685.	Mention the values of(a) 32(b) 52(c) (−4)2(d)
Answer» Mention the values of (a) 3² (b) 5² (c) (−4)² (d)

9685.

Mention the values of(a) 32(b) 52(c) (−4)2(d)

Answer»

Mention the values of

(a) 3²

(b) 5²

(c) (−4)²

(d)

Discussion

9686.	Question 87Draw a figure that represents your mathematics textbook. What is the name of this figure? Is it a prism?
Answer» Question 87 Draw a figure that represents your mathematics textbook. What is the name of this figure? Is it a prism?

Discussion

9687.	Question 2 Bisectors of interior ∠B and exterior ∠ACD of a ΔABC intersect at the point T. Prove that ∠BTC=12∠BAC Thinking process
Answer» Question 2 Bisectors of interior $∠ B$ and exterior $∠ A C D$ of a $Δ A B C$ intersect at the point T. Prove that $∠ B T C = \frac{1}{2} ∠ B A C$ Thinking process

Discussion

9688.	Give first the step you will use to separate the variable and then solve the equation:5m + 7 = 17
Answer» Give first the step you will use to separate the variable and then solve the equation: 5m + 7 = 17

Discussion

9689.	37. A wooden pole is 7 m high and 20 cm in diameter. Find it's weight if the wood weighs 225 kg per m cube
Answer» 37. A wooden pole is 7 m high and 20 cm in diameter. Find it's weight if the wood weighs 225 kg per m cube

Discussion

9690.	8 workers can load 4320 bricks in 1hour. How many workers are needed if the same amount of bricks have to be loaded in the truck in 40 minutes
Answer» 8 workers can load 4320 bricks in 1hour. How many workers are needed if the same amount of bricks have to be loaded in the truck in 40 minutes

Discussion

9691.	Aditi took a loan of ₹1,50,000 from a bank at interest of 10% per annum. Calculate the simple interest that she has to pay after 5 years.
Answer» Aditi took a loan of ₹1,50,000 from a bank at interest of 10% per annum. Calculate the simple interest that she has to pay after 5 years.

Discussion

9692.	In the given figure, ∠ABC=69∘ and ∠ACB=31∘. Find ∠BDC.
Answer» In the given figure, $∠ A B C = 69^{\circ}$ and $∠ A C B = 31^{\circ} .$ Find $∠ B D C .$

Discussion

9693.	A number is selected from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9. Find the probability that the selected number is their average.
Answer» A number is selected from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9. Find the probability that the selected number is their average.

Discussion

9694.	A fish tank has 5 male fish and 8 female fish. What is the probability of fish taken out is a male fish?
Answer» A fish tank has $5$ male fish and $8$ female fish. What is the probability of fish taken out is a male fish?

Discussion

9695.	Question 8Leela is Radha’s younger sister. Leela is 4 years younger than Radha. Can you write Leela’s age in terms of Radha’s age? Take Radha’s age to be x years.
Answer» Question 8 Leela is Radha’s younger sister. Leela is 4 years younger than Radha. Can you write Leela’s age in terms of Radha’s age? Take Radha’s age to be x years.

9695.

Question 8Leela is Radha’s younger sister. Leela is 4 years younger than Radha. Can you write Leela’s age in terms of Radha’s age? Take Radha’s age to be x years.

Answer»

Question 8

Leela is Radha’s younger sister. Leela is 4 years younger than Radha. Can you write Leela’s age in terms of Radha’s age? Take Radha’s age to be x years.

Discussion

9696.	What should be subtracted from x2−xy+y2−x+y+3 to obtain −x2+3y2−4xy+1?
Answer» What should be subtracted from $x^{2} - x y + y^{2} - x + y + 3$ to obtain $- x^{2} + 3 y^{2} - 4 x y + 1 ?$

Discussion

9697.	Question 8 The ratio 3 : 8 is equal to (a) 3.75 % (b) 37.5 % (c) 0.375 % (d) 267 %
Answer» Question 8 The ratio 3 : 8 is equal to (a) 3.75 % (b) 37.5 % (c) 0.375 % (d) 267 %

9697.

Question 8 The ratio 3 : 8 is equal to (a) 3.75 % (b) 37.5 % (c) 0.375 % (d) 267 %

Answer»

Question 8

The ratio 3 : 8 is equal to
(a) 3.75 %
(b) 37.5 %
(c) 0.375 %
(d) 267 %

Discussion

9698.	What is meter square?
Answer» What is meter square?

Discussion

9699.	Express 343 as a power of 7.
Answer» Express 343 as a power of 7.

Discussion

9700.	(a) Draw the front, top and side view of a cone. (b) A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).
Answer» (a) Draw the front, top and side view of a cone. (b) A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).

Discussion

Explore topic-wise InterviewSolutions in .

Prove that, if the bisector of ∠BAC of ∆ABC is perpendicular to side BC, then ∆ABC is an isosceles triangle.

21.One root of the equation Cosx - x + 1/2 = 0, lies in the interval

how many tiles whoes length and breadth are 13cm and 7 cm respectively are needed to cover a rec†an gular region whose lenghth and breadth are 540cm and 140 cm ​

9. If an angle is eight times its complementary angle then the measure of the angle is

P varies directly as cube of r. P=26 when r=2. When r=4,P equals208

In the two rooms of Family Restaurant, Number of people sitting around each table in both rooms must be equal. A maximum of 54 people can sit in the first room and 36 people in the second. How many maximum chairs can be around each table?

The cars of Anita and John start their cars from the center of the street in opposite directions. Both the cars reach a certain distance, which is 3 miles away from the center of the street. Does this mean that both the cars are at a same place? (Answer in Yes or No)

What is the value of the expression aman?

In the figure below, x = 30∘. The value of (6y – 3x) is ___.

Find the fourth proportion to 1.2, 1.6 and 7.2.

Out of 547 km, a rabbit covered 227 km. How much distance is still left to be covered?

The measure of angle ACB is .

Question 75 (i) Give three rational numbers equivalent to −34

Write a pair of integers whose difference gives an integer smaller than both the integers.

40% of 150 + 60% of 150 =(a) 200(b) 150(c) 250(d) 180

Solve the following:The maximum and minimum temperatures in a day are 35.1°C and 29.4°C respectively. Find the difference.

ABCD is a quadrilateral in which AD = BC and ∠DAB=∠CBA(See the given figure). Prove thatΔABD≅ΔBAC

Question 2(a) Give first the step you will use to separate the variable and then solve the equation: 3l= 42

In △ABC, if a=10 and bcotB+ccotC=2(r+R), then the maximum area(in sq.units) of △ABC is(Here usual notations are used for △ABC)

Prove that 2^n > n for all positive integers n

Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of them. What is the fraction of 1 chocolate that has been eaten by Madhavi?

Write the following decimals as word statements:(i) 0.005, 0.207, 111.519(ii) 0.8, 0.08, 0.008, 0.0008(iii) 256.1, 10.22, 0.634

Question 78 State whether the statement is True or False. It is possible to have a triangle in which two of the angles are right angles.

Check whether the following numbers are in continued proportion. (i) 2, 4, 8 (ii) 1, 2, 3 (iii) 9, 12, 16 (iv) 3, 5, 8

Find the perimeters and area of the parallelograms given in figure. [3 MARKS]

A rabbit jumps 3 m at a time. If it covers a distance of 21 m, then how many times does it jump?7

In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram ABCD.

Given below is a parallelogram. AB and CD are diagonals. If AO = x + y, OB = 5y, DO = 3x, OC = 12, then find x and y.

Following information relates to the marks securd by 50 students in Economics. Present the following information in the form of a table. Marks 0−10 10−20 20−30 30−40 Students 15 12 18 5

In an equilateral triangle ΔABC, AE is the angle bisector of ∠A, then the measure of ∠BAE is degrees.

What is closed loop line integral?

The number of ways in which we can choose a committee from four men and six women so that the committee includes at least two man and exactly twice as many women as men, is(a) 94(b) 126(C) 128(d) none of these

How many years will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest? __

If y is the reciprocal of rational number x, then the reciprocal of y will be ____.

Mention the values of(a) 32(b) 52(c) (−4)2(d)

Question 87Draw a figure that represents your mathematics textbook. What is the name of this figure? Is it a prism?

Question 2 Bisectors of interior ∠B and exterior ∠ACD of a ΔABC intersect at the point T. Prove that ∠BTC=12∠BAC Thinking process

Give first the step you will use to separate the variable and then solve the equation:5m + 7 = 17

37. A wooden pole is 7 m high and 20 cm in diameter. Find it's weight if the wood weighs 225 kg per m cube

8 workers can load 4320 bricks in 1hour. How many workers are needed if the same amount of bricks have to be loaded in the truck in 40 minutes

Aditi took a loan of ₹1,50,000 from a bank at interest of 10% per annum. Calculate the simple interest that she has to pay after 5 years.

In the given figure, ∠ABC=69∘ and ∠ACB=31∘. Find ∠BDC.

A number is selected from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9. Find the probability that the selected number is their average.

A fish tank has 5 male fish and 8 female fish. What is the probability of fish taken out is a male fish?

Question 8Leela is Radha’s younger sister. Leela is 4 years younger than Radha. Can you write Leela’s age in terms of Radha’s age? Take Radha’s age to be x years.

What should be subtracted from x2−xy+y2−x+y+3 to obtain −x2+3y2−4xy+1?

Question 8 The ratio 3 : 8 is equal to (a) 3.75 % (b) 37.5 % (c) 0.375 % (d) 267 %

What is meter square?

Express 343 as a power of 7.

(a) Draw the front, top and side view of a cone. (b) A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).

how many tiles whoes length and breadth are 13cm and 7 cm respectively are needed to cover a rec†an gular region whose lenghth and breadth are 540cm and 140 cm