24740 + Interview Questions in Mathematics Page 494 InterviewSolution

24651.	The conjugate of the surd 2√15 - 3√5 is
Answer» The conjugate of the surd 2√15 - 3√5 is

Discussion

24652.	Question 10 In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circum circle of the triangle ABC.
Answer» Question 10 In any triangle ABC, if the angle bisector of $∠ A$ and perpendicular bisector of BC intersect, prove that they intersect on the circum circle of the triangle ABC.

Discussion

24653.	Question 3(v) Express the number appearing in the following statements in standard form: Thickness of a thick paper is 0.07 mm.
Answer» Question 3(v) Express the number appearing in the following statements in standard form: Thickness of a thick paper is 0.07 mm.

Discussion

24654.	Give two solutions for 3y + 4 = 0
Answer» Give two solutions for 3y + 4 = 0

Discussion

24655.	Find the value of (√5+√5)(√5−√5).\N
Answer» Find the value of $(\sqrt{5} + \sqrt{5}) (\sqrt{5} - \sqrt{5})$ . \N

Discussion

24656.	If the dimensions of a cuboid are 3 cm, 4 cm and 10 cm, then its surface area( in cm2) is:
Answer» If the dimensions of a cuboid are 3 cm, 4 cm and 10 cm, then its surface area( in $c m^{2}$ ) is:

Discussion

24657.	If a + b = 1 and a - b = 7 ; Find (i) (a2+b2) (ii) ab
Answer» If a + b = 1 and a - b = 7 ; Find (i) $(a^{2} + b^{2})$ (ii) ab

24657.

If a + b = 1 and a - b = 7 ; Find (i) (a2+b2) (ii) ab

Answer»

If a + b = 1 and a - b = 7 ; Find

(i) $(a^{2} + b^{2})$ (ii) ab

Discussion

24658.	A triangle is formed by joining the coordinates B(0,0), C(8,0) and A(4,8). DE is joined where D is the mid-point of AB, and E is the mid-point of AC. DC and BE are joined to intersect at F. Then, Area of Δ DCB = n2 × Area of Δ EBC, where n is an integer. The value of n is __.
Answer» A triangle is formed by joining the coordinates B(0,0), C(8,0) and A(4,8). DE is joined where D is the mid-point of AB, and E is the mid-point of AC. DC and BE are joined to intersect at F. Then, Area of $Δ$ DCB = $\frac{n}{2}$ $\times$ Area of $Δ$ EBC, where n is an integer. The value of n is __.

Discussion

24659.	Question 1 (i) ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that: SR \|\| AC and SR = 12AC.
Answer» Question 1 (i) ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that: SR \|\| AC and SR = $\frac{1}{2}$ AC.

Discussion

24660.	What would you read this question as?
Answer» What would you read this question as?

Discussion

24661.	Question 16 The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.
Answer» Question 16 The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.

Discussion

24662.	Find the sum of the squares of the following: √3√2+1,√3√2−1,√2√3
Answer» Find the sum of the squares of the following: $\frac{\sqrt{3}}{\sqrt{2} + 1}, \frac{\sqrt{3}}{\sqrt{2} - 1}, \frac{\sqrt{2}}{\sqrt{3}}$

Discussion

24663.	The number of diagonals in an octagon is
Answer» The number of diagonals in an octagon is

Discussion

24664.	State whether following expression is polynomial or not: 5a−2+√a+4 ?
Answer» State whether following expression is polynomial or not: $5 a^{- 2} + \sqrt{a + 4}$ ?

Discussion

24665.	In the parallelogram ABCD, AB = 6 cm and DC : CB = 2 : 1. Find the perimeter of the parallelogram ABCD.
Answer» In the parallelogram ABCD, AB = 6 cm and DC : CB = 2 : 1. Find the perimeter of the parallelogram ABCD.

Discussion

24666.	The mid points of an equilateral triangle of side 10 cm are joined to form a triangle. What type of triangle is obtained by joining the mid points?
Answer» The mid points of an equilateral triangle of side 10 cm are joined to form a triangle. What type of triangle is obtained by joining the mid points?

Discussion

24667.	The greatest chord of a circle is called its
Answer» The greatest chord of a circle is called its

Discussion

24668.	Let f:R→R,g:R→R, be two functions, such that f(x) =2x – 3, g (x) = x3 + 5. The function (fog)−1 (x) is equal to
Answer» Let $f : R \to R, g : R \to R$ , be two functions, such that f(x) =2x – 3, g (x) = $x^{3}$ + 5. The function $(f o g)^{- 1}$ (x) is equal to

Discussion

24669.	Cube root of the perimeter of a triangular field us 7m and its sides are in the ratio 14:15:20. Find the area of the triangle
Answer» Cube root of the perimeter of a triangular field us 7m and its sides are in the ratio 14:15:20. Find the area of the triangle

Discussion

24670.	find the missing term 5,9,16,29,54,103,(.......)
Answer» find the missing term 5,9,16,29,54,103,(.......)

24670.

find the missing term 5,9,16,29,54,103,(.......)

Answer»

find the missing term

5,9,16,29,54,103,(.......)

Discussion

24671.	The radius and height of a cylinder are in the ratio of 5:7and the volume is 550cm cube find radius
Answer» The radius and height of a cylinder are in the ratio of 5:7and the volume is 550cm cube find radius

Discussion

24672.	Please give me some questions to plotting points on graph and finding its area.
Answer» Please give me some questions to plotting points on graph and finding its area.

Discussion

24673.	Series- 15,136,55,104,79,? 😃😃
Answer» Series- 15,136,55,104,79,? 😃😃

24673.

Series- 15,136,55,104,79,? 😃😃

Answer»

Series- 15,136,55,104,79,?

😃😃

Discussion

24674.	Question 12 Concentration of SO2(in ppm)Number of days (frequency)0.00−0.0440.04−0.0890.08−0.1290.12−0.1620.16−0.2040.20−0.242Total30 The above frequency distribution table represents the concentration of Sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table, find the probability of the concentration of Sulphur dioxide in the interval 0.12−0.16 on any of these days.
Answer» Question 12 $\begin{matrix} C o n c e n t r a t i o n o f S O_{2} (i n p p m) & N u m b e r o f d a y s (f r e q u e n c y) 0.00 - 0.04 & 4 0.04 - 0.08 & 9 0.08 - 0.12 & 9 0.12 - 0.16 & 2 0.16 - 0.20 & 4 0.20 - 0.24 & 2 T o t a l & 30 \end{matrix}$ The above frequency distribution table represents the concentration of Sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table, find the probability of the concentration of Sulphur dioxide in the interval 0.12−0.16 on any of these days.

Discussion

24675.	Question 9 Can the experimental probability of an event be greater than 1? Justify your answer.
Answer» Question 9 Can the experimental probability of an event be greater than 1? Justify your answer.

Discussion

24676.	If A = {2, 4, 6, 8} and B = {1, 2, 3, 4, 5}, then A - B = ______.
Answer» If A = {2, 4, 6, 8} and B = {1, 2, 3, 4, 5}, then A - B = ______.

Discussion

24677.	A big iron boiler tank opened on top is cylindrical in shape.It has height is 10 m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is: (Take pi=227)
Answer» A big iron boiler tank opened on top is cylindrical in shape.It has height is 10 m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is: (Take pi= $\frac{22}{7}$ )

Discussion

24678.	Question 1 Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts.
Answer» Question 1 Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts.

Discussion

24679.	In figure AB = CB and O is the centre of the circle. Prove that BO bisects ∠ABC. [1 MARK]
Answer» In figure AB = CB and O is the centre of the circle. Prove that BO bisects $∠ A B C$ . [1 MARK]

24679.

In figure AB = CB and O is the centre of the circle. Prove that BO bisects ∠ABC. [1 MARK]

Answer»

In figure AB = CB and O is the centre of the circle. Prove that BO bisects $∠ A B C$ . [1 MARK]

Discussion

24680.	Simple interest on a certain sum of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5 percent per annum by ₹228. Find the sum.
Answer» Simple interest on a certain sum of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5 percent per annum by ₹228. Find the sum.

24680.

Simple interest on a certain sum of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5 percent per annum by ₹228. Find the sum.

Answer»

Simple interest on a certain sum of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5 percent per annum by ₹228. Find the sum.

Discussion

24681.	The curved surface area of a cylinder is 2200 sq cm and circumference of its base is 220 cm. Then the height of the cylinder is:
Answer» The curved surface area of a cylinder is 2200 sq cm and circumference of its base is 220 cm. Then the height of the cylinder is:

Discussion

24682.	The radius of a circle is proportional to its diameter. Find the constant of proportionality.
Answer» The radius of a circle is proportional to its diameter. Find the constant of proportionality.

Discussion

24683.	Find the least number of square tiles of equal dimensions required to pave the floor of a room 4.03 m long and 2.17 m broad.
Answer» Find the least number of square tiles of equal dimensions required to pave the floor of a room 4.03 m long and 2.17 m broad.

Discussion

24684.	A roller is in the shape of ____________.
Answer» A roller is in the shape of ____________.

Discussion

24685.	Which of the following angles can be constructed with the help of just a ruler and a pair of compasses?
Answer» Which of the following angles can be constructed with the help of just a ruler and a pair of compasses?

Discussion

24686.	Simplify 2723912 332
Answer» Simplify $\frac{27^{\frac{2}{3}}}{9^{\frac{1}{2}} 3^{\frac{3}{2}}}$

Discussion

Explore topic-wise InterviewSolutions in .

The conjugate of the surd 2√15 - 3√5 is

Question 10 In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circum circle of the triangle ABC.

Question 3(v) Express the number appearing in the following statements in standard form: Thickness of a thick paper is 0.07 mm.

Give two solutions for 3y + 4 = 0

Find the value of (√5+√5)(√5−√5).\N

If the dimensions of a cuboid are 3 cm, 4 cm and 10 cm, then its surface area( in cm2) is:

If a + b = 1 and a - b = 7 ; Find (i) (a2+b2) (ii) ab

A triangle is formed by joining the coordinates B(0,0), C(8,0) and A(4,8). DE is joined where D is the mid-point of AB, and E is the mid-point of AC. DC and BE are joined to intersect at F. Then, Area of Δ DCB = n2 × Area of Δ EBC, where n is an integer. The value of n is __.

Question 1 (i) ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that: SR || AC and SR = 12AC.

What would you read this question as?

Question 16 The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.

Find the sum of the squares of the following: √3√2+1,√3√2−1,√2√3

The number of diagonals in an octagon is

State whether following expression is polynomial or not: 5a−2+√a+4 ?

In the parallelogram ABCD, AB = 6 cm and DC : CB = 2 : 1. Find the perimeter of the parallelogram ABCD.

The mid points of an equilateral triangle of side 10 cm are joined to form a triangle. What type of triangle is obtained by joining the mid points?

The greatest chord of a circle is called its

Let f:R→R,g:R→R, be two functions, such that f(x) =2x – 3, g (x) = x3 + 5. The function (fog)−1 (x) is equal to

Cube root of the perimeter of a triangular field us 7m and its sides are in the ratio 14:15:20. Find the area of the triangle

find the missing term 5,9,16,29,54,103,(.......)

The radius and height of a cylinder are in the ratio of 5:7and the volume is 550cm cube find radius

Please give me some questions to plotting points on graph and finding its area.

Series- 15,136,55,104,79,? 😃😃

Question 9 Can the experimental probability of an event be greater than 1? Justify your answer.

If A = {2, 4, 6, 8} and B = {1, 2, 3, 4, 5}, then A - B = ______.

A big iron boiler tank opened on top is cylindrical in shape.It has height is 10 m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is: (Take pi=227)

Question 1 Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts.

In figure AB = CB and O is the centre of the circle. Prove that BO bisects ∠ABC. [1 MARK]

Simple interest on a certain sum of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5 percent per annum by ₹228. Find the sum.

The curved surface area of a cylinder is 2200 sq cm and circumference of its base is 220 cm. Then the height of the cylinder is:

The radius of a circle is proportional to its diameter. Find the constant of proportionality.

Find the least number of square tiles of equal dimensions required to pave the floor of a room 4.03 m long and 2.17 m broad.

A roller is in the shape of ____________.

Which of the following angles can be constructed with the help of just a ruler and a pair of compasses?

Simplify 2723912 332