24740 + Interview Questions in Mathematics Page 155 InterviewSolution

7701.	a3 + b3 + a + b
Answer» a³ + b³ + a + b

Discussion

7702.	Express 0.¯6 in the form pq, where p and q are integers and q≠0.
Answer» Express $0. ¯ 6$ in the form $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ .

Discussion

7703.	A number ′x′was found to be represented in the simplest pq form. The decimal expansion of this number was found to be 5.3333333333..... Find the value of p - q.
Answer» A number $^{'} x^{'}$ was found to be represented in the simplest $\frac{p}{q}$ form. The decimal expansion of this number was found to be 5.3333333333..... Find the value of p - q.

Discussion

7704.

Given below is the data for the amount of wheat produced in a village for 4 days of a week arranged in a tabular form: Day Production (in kgs) Monday 1000 Tuesday 1250 Wednesday 1500 Thursday 1350 How much is the production of wheat on Wednesday higher than the average wheat production for the 4 days?

Answer» Given below is the data for the amount of wheat produced in a village for 4 days of a week arranged in a tabular form:

Day	Production (in kgs)
Monday	1000
Tuesday	1250
Wednesday	1500
Thursday	1350

How much is the production of wheat on Wednesday higher than the average wheat production for the 4 days?

Discussion

7705.	Question 44 Four times a number is a ___ % increase in the number.
Answer» Question 44 Four times a number is a ___ % increase in the number.

7705.

Question 44 Four times a number is a ___ % increase in the number.

Answer»

Question 44

Four times a number is a ___ % increase in the number.

Discussion

7706.	Please send me all extra questions of lesson matter surrounding us+with anwers
Answer» Please send me all extra questions of lesson matter surrounding us+with anwers

Discussion

7707.	In a cyclic quadrilateral ABCD, if ∠A − ∠C = 60°, prove that the smaller of two is 60°
Answer» In a cyclic quadrilateral ABCD, if ∠A − ∠C = 60°, prove that the smaller of two is 60°

Discussion

7708.	A company decided to build a basketball court for their employees. The court plan is as shown in the figure.Identify the number of circles and arcs in the plan.
Answer» A company decided to build a basketball court for their employees. The court plan is as shown in the figure. Identify the number of circles and arcs in the plan.

7708.

A company decided to build a basketball court for their employees. The court plan is as shown in the figure.Identify the number of circles and arcs in the plan.

Answer»

A company decided to build a basketball court for their employees. The court plan is as shown in the figure.

Identify the number of circles and arcs in the plan.

Discussion

7709.	Let A=⎡⎢⎣100011100⎤⎥⎦. Then A2025−A2020 is equal to
Answer» Let $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 0 0 & 1 & 1 1 & 0 & 0 \end{matrix} ⎤ ⎥ ⎦ .$ Then $A^{2025} - A^{2020}$ is equal to

Discussion

7710.	If abscissa is twice the ordinate of a pointP(a, a - 3), then plot the point P.
Answer» If abscissa is twice the ordinate of a pointP(a, a - 3), then plot the point P.

Discussion

7711.	A rectangular park has length and breadth of 2 km and 1 km respectively. Due to the metro construction, the authority reduces the length and breadth of the park by x km. Find the new area of the park in terms of x.
Answer» A rectangular park has length and breadth of 2 km and 1 km respectively. Due to the metro construction, the authority reduces the length and breadth of the park by $x$ km. Find the new area of the park in terms of $x$ .

Discussion

7712.	The number of books in different shelves of a library are as follows:30, 32, 28, 24, 20, 25, 38, 37, 40, 45, 16, 2019, 24, 27, 30, 32, 34, 35, 42, 27, 28, 19, 34,38, 39, 42, 29, 24, 27, 22, 29, 31, 19, 27, 2528, 23, 24, 32, 34, 18, 27, 25, 37, 31, 24, 23,43, 32, 28, 31, 24, 23, 26, 36, 32, 29, 28, 21Prepare a cumulative frequencies distribution table using 45-49 as the last class-interval.
Answer» The number of books in different shelves of a library are as follows: 30, 32, 28, 24, 20, 25, 38, 37, 40, 45, 16, 20 19, 24, 27, 30, 32, 34, 35, 42, 27, 28, 19, 34, 38, 39, 42, 29, 24, 27, 22, 29, 31, 19, 27, 25 28, 23, 24, 32, 34, 18, 27, 25, 37, 31, 24, 23, 43, 32, 28, 31, 24, 23, 26, 36, 32, 29, 28, 21 Prepare a cumulative frequencies distribution table using 45-49 as the last class-interval.

Discussion

7713.	According to the given graph, how many students have their birthdays in the first quarter?
Answer» According to the given graph, how many students have their birthdays in the first quarter?

Discussion

7714.	find number of zeroes of polynomial f(y) if its graph intersects x-axis at 1 point and y-axis at 2 points
Answer» find number of zeroes of polynomial f(y) if its graph intersects x-axis at 1 point and y-axis at 2 points

Discussion

7715.	Question 5 In ΔPQR, if ∠R=∠P and QR =4 cm and PR =5cm. Then, the length of PQ is (A) 4 cm (B) 5 cm (C) 2 cm (D) 2.5 cm
Answer» Question 5 In $Δ P Q R$ , if $∠ R = ∠ P$ and QR =4 cm and PR =5cm. Then, the length of PQ is (A) 4 cm (B) 5 cm (C) 2 cm (D) 2.5 cm

Discussion

7716.	Prove logically that the diagonals of a rectangle are equal.
Answer» Prove logically that the diagonals of a rectangle are equal.

Discussion

7717.	Expression of 0.555.... in the form of a/b is.
Answer» Expression of 0.555.... in the form of ^a/_b is.

Discussion

7718.	Question 12If a=2+√3 , then find the value of (a−1a).
Answer» Question 12 If $a = 2 + \sqrt{3}$ , then find the value of $(a - \frac{1}{a})$ .

Discussion

7719.	In the given figure AD is the bisector of ∠A and AB=AC. Then △ACD and △ADB are congruent by which criterion?
Answer» In the given figure $A D$ is the bisector of $∠ A$ and $A B = A C .$ Then $△ A C D$ and $△ A D B$ are congruent by which criterion?

7719.

In the given figure AD is the bisector of ∠A and AB=AC. Then △ACD and △ADB are congruent by which criterion?

Answer»

In the given figure $A D$ is the bisector of $∠ A$ and $A B = A C .$ Then $△ A C D$ and $△ A D B$ are congruent by which criterion?

Discussion

7720.	Number of integral values of x satisfying \|x2-3x+4\|
Answer» Number of integral values of x satisfying \|x2-3x+4\|

Discussion

7721.	The simple interest on a certain sum of money for 1 year at 6% per annum is ₹ 432. Find the Principal.
Answer» The simple interest on a certain sum of money for 1 year at $6 %$ per annum is ₹ 432. Find the Principal.

Discussion

7722.	The locus of vertices of all isosceles triangles having a common base is ________.
Answer» The locus of vertices of all isosceles triangles having a common base is ________.

Discussion

7723.	If sin α = 513 and sin β = 45 then the value of cos α cos β - sin α sin β is
Answer» If sin $α$ = $\frac{5}{13}$ and sin $β$ = $\frac{4}{5}$ then the value of cos $α$ cos $β$ - sin $α$ sin $β$ is

Discussion

7724.	If a : b = 5 : 3, find (2a + 7b) : (6a - 7b).
Answer» If a : b = 5 : 3, find (2a + 7b) : (6a - 7b).

Discussion

7725.	To determine all the angles of a parallelogram, which of the following is the minimum necessary condition?
Answer» To determine all the angles of a parallelogram, which of the following is the minimum necessary condition?

Discussion

7726.	The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:
Answer» The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

Discussion

7727.	Angle of an inclined plane is 30 degrees. A body is projected from bottom of an inclined plane at an angle 60 degrees with the ground at a speed of 20 m/s . Find range and time of flight of the body
Answer» Angle of an inclined plane is 30 degrees. A body is projected from bottom of an inclined plane at an angle 60 degrees with the ground at a speed of 20 m/s . Find range and time of flight of the body

Discussion

7728.	Find the angle x in the given figure.
Answer» Find the angle x in the given figure.

7728.

Find the angle x in the given figure.

Answer»

Find the angle x in the given figure.

im2

Discussion

7729.	Question 1Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.
Answer» Question 1 Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.

Discussion

7730.	How axiom is used in a sentence for proving? How axioms must be remembered Euclids geometry chapter is not given
Answer» How axiom is used in a sentence for proving? How axioms must be remembered Euclids geometry chapter is not given

7730.

How axiom is used in a sentence for proving? How axioms must be remembered Euclids geometry chapter is not given

Answer»

How axiom is used in a sentence for proving? How axioms must be remembered

Euclids geometry chapter is not given

Discussion

7731.	O is centre of the circle. Find the length of radius, if the chord of length 24 cm is at a distance of 9 cm from the centre of the circle.
Answer» O is centre of the circle. Find the length of radius, if the chord of length 24 cm is at a distance of 9 cm from the centre of the circle.

Discussion

7732.	Match the two columnsEquationsSolutions(A) 2x+y=7(p) (0,9)(B) x−2y=4(q) (1,5)(C) x−4y=0(r) (0,0)(D) px+y=9(s) (4,0)
Answer» Match the two columns $\begin{matrix} Equations & Solutions (A) 2 x + y = 7 & (p) (0, 9) (B) x - 2 y = 4 & (q) (1, 5) (C) x - 4 y = 0 & (r) (0, 0) (D) p x + y = 9 & (s) (4, 0) \end{matrix}$

Discussion

7733.	Find the area of the orange colored part. The measure of the side of outer and inner square is 30 cm and 15 cm, respectively.
Answer» Find the area of the orange colored part. The measure of the side of outer and inner square is 30 cm and 15 cm, respectively.

7733.

Find the area of the orange colored part. The measure of the side of outer and inner square is 30 cm and 15 cm, respectively.

Answer»

Find the area of the orange colored part. The measure of the side of outer and inner square is 30 cm and 15 cm, respectively.

Discussion

7734.	Define probability of an event.
Answer» Define probability of an event.

Discussion

7735.	An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:A: the sum is greater than 8,B: 2 occurs on either dieC: the sum is at least 7 and a multiple of 3.Which pairs of these events are mutually exclusive?
Answer» An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events: $A :$ the sum is greater than $8$ , $B :$ $2$ occurs on either die $C :$ the sum is at least $7$ and a multiple of $3$ . Which pairs of these events are mutually exclusive?

Discussion

7736.	Which of the following have a non terminating decimal expansion?
Answer» Which of the following have a non terminating decimal expansion?

Discussion

7737.	p3+ q3 + r3 – 3pqr = ?
Answer» p³+ q³ + r³ – 3pqr = ?

Discussion

7738.	Find the total surface area of a closed cylindrical drum if its diameter is 50 cm and height is 45 cm. (π=3.14)
Answer» Find the total surface area of a closed cylindrical drum if its diameter is $50$ cm and height is $45$ cm. $(π = 3.14)$

Discussion

7739.	The area of this triangle = ___ cm2
Answer» The area of this triangle = ___ $c m^{2}$

7739.

The area of this triangle = ___ cm2

Answer»

The area of this triangle = ___ $c m^{2}$

Discussion

7740.	If sinθ+cosθ=12, then 16(sin(2θ)+cos(4θ)+sin(6θ)) is equal to
Answer» If $sin θ + cos θ = \frac{1}{2}$ , then $16 (sin (2 θ) + cos (4 θ) + sin (6 θ))$ is equal to

Discussion

7741.	Let ABC be a triangle of area 24 sq. units and PQR be the triangle formed by the mid-points of the sides of Δ ABC. Then the area of ΔPQR is(a) 12 sq. units(b) 6 sq. units(c) 4 sq. units(d) 3 sq. units
Answer» Let ABC be a triangle of area 24 sq. units and PQR be the triangle formed by the mid-points of the sides of Δ ABC. Then the area of ΔPQR is (a) 12 sq. units (b) 6 sq. units (c) 4 sq. units (d) 3 sq. units

Discussion

7742.	Find the value of ‘k’, if (-2, 3) is the solution of line y = k - 4x.
Answer» Find the value of ‘k’, if (-2, 3) is the solution of line y = k - 4x.

Discussion

7743.

On 1st July, 2015, A Co. Ltd. purchases second-hand machinery for ₹ 20,000 and spends ₹ 3,000 on reconditioning and installing it. On 1st January, 2016, the firm purchases new machinery worth ₹ 12,000. On 30th June, 2017, the machinery purchased on 1st January, 2016, was sold for ₹ 8,000 and on 1st July, 2017, a fresh plant was installed. Payment for this plant was to be made as follows: 1st July, 2017 ₹ 5,000 30th June, 2018 ₹ 6,000 30th June, 2019 ₹ 5,500 Payments in 2018 and 2019 include interest of ₹ 1,000 and ₹ 500 respectively.The company writes off 10% p.a. on the original cost. The accounts are closed every year on 31st March. Show the Machinery Account for the year ended 31st March, 2018.

Answer» On 1st July, 2015, A Co. Ltd. purchases second-hand machinery for ₹ 20,000 and spends ₹ 3,000 on reconditioning and installing it. On 1st January, 2016, the firm purchases new machinery worth ₹ 12,000. On 30th June, 2017, the machinery purchased on 1st January, 2016, was sold for ₹ 8,000 and on 1st July, 2017, a fresh plant was installed. Payment for this plant was to be made as follows:

1st July, 2017	₹ 5,000
30th June, 2018	₹ 6,000
30th June, 2019	₹ 5,500

Payments in 2018 and 2019 include interest of ₹ 1,000 and ₹ 500 respectively.

The company writes off 10% p.a. on the original cost. The accounts are closed every year on 31st March. Show the Machinery Account for the year ended 31st March, 2018.

Discussion

7744.	Question 10In ΔABC and ΔPQR, if AB=AC,∠C=∠P and ∠B=∠Q. The two triangles are(A) isosceles but not congruent(B) isosceles and congruent(C) congruent but not isosceles(D) neither congruent nor isosceles
Answer» Question 10 In $Δ A B C$ and $Δ P Q R$ , if $A B = A C, ∠ C = ∠ P$ and $∠ B = ∠ Q$ . The two triangles are (A) isosceles but not congruent (B) isosceles and congruent (C) congruent but not isosceles (D) neither congruent nor isosceles

Discussion

7745.	(a2-b2)3+(b2-c2)3+(c2-a2)3(a-b)3 + (b-c)3 + (c-a)3=(a) 3(a + b) ( b+ c) (c + a)(b) 3(a − b) (b − c) (c − a)(c) (a − b) (b − c) (c − a)(d) none of these
Answer» $\frac{(a^{2} - b^{2})^{3} + (b^{2} - c^{2})^{3} + (c^{2} - a^{2})^{3}}{(a - b)^{3} + (b - c)^{3} + (c - a)^{3}} =$ (a) 3(a + b) ( b+ c) (c + a) (b) 3(a − b) (b − c) (c − a) (c) (a − b) (b − c) (c − a) (d) none of these

Discussion

7746.	If g = t2/3+4t-1/2, What is the value of g when t = 64?(a) 212(b) 332(c) 16(d) 25716
Answer» If $g = t^{2 / 3} + 4 t^{- 1 / 2}$ , What is the value of g when t = 64? (a) $\frac{21}{2}$ (b) $\frac{33}{2}$ (c) $16$ (d) $\frac{257}{16}$

Discussion

7747.	37 if ABCD is asquare then show that the points A, B, C, D are concyclic
Answer» 37 if ABCD is asquare then show that the points A, B, C, D are concyclic

Discussion

7748.	Question 19When two quantities x and y are in___proportion or vary___, they are written as x∝y..
Answer» Question 19 When two quantities x and y are in___proportion or vary___, they are written as $x \propto y . .$

7748.

Question 19When two quantities x and y are in_proportion or vary_, they are written as x∝y..

Answer»

Question 19

When two quantities x and y are in___proportion or vary___, they are written as $x \propto y . .$

Discussion

7749.

Using correct to three decimals.

Answer»

Using correct to three decimals.

Discussion

7750.	Question 4P is a point on the bisector of ∠ABC. If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle.
Answer» Question 4 P is a point on the bisector of $∠ A B C$ . If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle.

Discussion

Explore topic-wise InterviewSolutions in .

a3 + b3 + a + b

Express 0.¯6 in the form pq, where p and q are integers and q≠0.

A number ′x′was found to be represented in the simplest pq form. The decimal expansion of this number was found to be 5.3333333333..... Find the value of p - q.

Question 44 Four times a number is a ___ % increase in the number.

Please send me all extra questions of lesson matter surrounding us+with anwers

In a cyclic quadrilateral ABCD, if ∠A − ∠C = 60°, prove that the smaller of two is 60°

A company decided to build a basketball court for their employees. The court plan is as shown in the figure.Identify the number of circles and arcs in the plan.

Let A=⎡⎢⎣100011100⎤⎥⎦. Then A2025−A2020 is equal to

If abscissa is twice the ordinate of a pointP(a, a - 3), then plot the point P.

A rectangular park has length and breadth of 2 km and 1 km respectively. Due to the metro construction, the authority reduces the length and breadth of the park by x km. Find the new area of the park in terms of x.

According to the given graph, how many students have their birthdays in the first quarter?

find number of zeroes of polynomial f(y) if its graph intersects x-axis at 1 point and y-axis at 2 points

Question 5 In ΔPQR, if ∠R=∠P and QR =4 cm and PR =5cm. Then, the length of PQ is (A) 4 cm (B) 5 cm (C) 2 cm (D) 2.5 cm

Prove logically that the diagonals of a rectangle are equal.

Expression of 0.555.... in the form of a/b is.

Question 12If a=2+√3 , then find the value of (a−1a).

In the given figure AD is the bisector of ∠A and AB=AC. Then △ACD and △ADB are congruent by which criterion?

Number of integral values of x satisfying |x2-3x+4|

The simple interest on a certain sum of money for 1 year at 6% per annum is ₹ 432. Find the Principal.

The locus of vertices of all isosceles triangles having a common base is ________.

If sin α = 513 and sin β = 45 then the value of cos α cos β - sin α sin β is

If a : b = 5 : 3, find (2a + 7b) : (6a - 7b).

To determine all the angles of a parallelogram, which of the following is the minimum necessary condition?

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

Angle of an inclined plane is 30 degrees. A body is projected from bottom of an inclined plane at an angle 60 degrees with the ground at a speed of 20 m/s . Find range and time of flight of the body

Find the angle x in the given figure.

Question 1Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.

How axiom is used in a sentence for proving? How axioms must be remembered Euclids geometry chapter is not given

O is centre of the circle. Find the length of radius, if the chord of length 24 cm is at a distance of 9 cm from the centre of the circle.

Match the two columnsEquationsSolutions(A) 2x+y=7(p) (0,9)(B) x−2y=4(q) (1,5)(C) x−4y=0(r) (0,0)(D) px+y=9(s) (4,0)

Find the area of the orange colored part. The measure of the side of outer and inner square is 30 cm and 15 cm, respectively.

Define probability of an event.

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:A: the sum is greater than 8,B: 2 occurs on either dieC: the sum is at least 7 and a multiple of 3.Which pairs of these events are mutually exclusive?

Which of the following have a non terminating decimal expansion?

p3+ q3 + r3 – 3pqr = ?

Find the total surface area of a closed cylindrical drum if its diameter is 50 cm and height is 45 cm. (π=3.14)

The area of this triangle = ___ cm2

If sinθ+cosθ=12, then 16(sin(2θ)+cos(4θ)+sin(6θ)) is equal to

Let ABC be a triangle of area 24 sq. units and PQR be the triangle formed by the mid-points of the sides of Δ ABC. Then the area of ΔPQR is(a) 12 sq. units(b) 6 sq. units(c) 4 sq. units(d) 3 sq. units

Find the value of ‘k’, if (-2, 3) is the solution of line y = k - 4x.

Question 10In ΔABC and ΔPQR, if AB=AC,∠C=∠P and ∠B=∠Q. The two triangles are(A) isosceles but not congruent(B) isosceles and congruent(C) congruent but not isosceles(D) neither congruent nor isosceles

(a2-b2)3+(b2-c2)3+(c2-a2)3(a-b)3 + (b-c)3 + (c-a)3=(a) 3(a + b) ( b+ c) (c + a)(b) 3(a − b) (b − c) (c − a)(c) (a − b) (b − c) (c − a)(d) none of these

If g = t2/3+4t-1/2, What is the value of g when t = 64?(a) 212(b) 332(c) 16(d) 25716

37 if ABCD is asquare then show that the points A, B, C, D are concyclic

Question 19When two quantities x and y are in___proportion or vary___, they are written as x∝y..

Using correct to three decimals.

Question 4P is a point on the bisector of ∠ABC. If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle.

Question 19When two quantities x and y are in_proportion or vary_, they are written as x∝y..