24740 + Interview Questions in Mathematics Page 173 InterviewSolution

8601.	Anas used to save 20% of his salary. When his salary increased by 20%, his expenses also increased by 25% of his earlier expenses. How much percentage of his salary does he save now?
Answer» Anas used to save 20% of his salary. When his salary increased by 20%, his expenses also increased by 25% of his earlier expenses. How much percentage of his salary does he save now?

Discussion

8602.	If 3cot A=4, then find cos2 A - sin2 A
Answer» If 3cot A=4, then find cos² A - sin² A

Discussion

8603.	On 1st February 2018, A sold goods to B for ₹ 40,000 Charging CGST and SGST 9% each. B pays ₹ 17,200 in cash and accepted a three months bill for the balance. On the due date, B expressed his inability to meet the bill and offered ₹ 12,000 in cash and to accept a new bill for one month for the balance plus interest at 18% p.a. A agrees to the proposal. On the due date the bill was duly honoured by B. Pass entries in the books of A and B.
Answer» On 1st February 2018, A sold goods to B for ₹ 40,000 Charging CGST and SGST 9% each. B pays ₹ 17,200 in cash and accepted a three months bill for the balance. On the due date, B expressed his inability to meet the bill and offered ₹ 12,000 in cash and to accept a new bill for one month for the balance plus interest at 18% p.a. A agrees to the proposal. On the due date the bill was duly honoured by B. Pass entries in the books of A and B.

Discussion

8604.	f(x)=[√log0.5(x^2 + x + 6)]+ 1/x^2 +2x find domain
Answer» f(x)=[√log0.5(x^2 + x + 6)]+ 1/x^2 +2x find domain

Discussion

8605.	A torn piece of calendar has some numbers missing as shown. Which number will come in the second square of the third row?
Answer» A torn piece of calendar has some numbers missing as shown. Which number will come in the second square of the third row?

Discussion

8606.	Mark the correct alternative in each of the following:The number of surfaces of a cone has, is(a) 1(b) 2(c) 3(d) 4
Answer» Mark the correct alternative in each of the following: The number of surfaces of a cone has, is (a) 1 (b) 2 (c) 3 (d) 4

Discussion

8607.	ix) }(-\sqrt5+2\sqrt{-4})+(1-\sqrt{-9})+(2+3i)(2-3i)
Answer» ix) }(-\sqrt5+2\sqrt{-4})+(1-\sqrt{-9})+(2+3i)(2-3i)

Discussion

8608.	Two circles intersect as shown in the diagram below. The radii of the circles are 14 cm each and ∠AOP=45∘ What is the area of the region shaded in blue?
Answer» Two circles intersect as shown in the diagram below. The radii of the circles are 14 cm each and $∠ A O P = 45^{\circ}$ What is the area of the region shaded in blue?

Discussion

8609.	Arrange the fractions 23, 34, 12 and 56 in ascending order.
Answer» Arrange the fractions $\frac{2}{3}, \frac{3}{4}, \frac{1}{2} a n d \frac{5}{6}$ in ascending order.

Discussion

8610.	Question 14 The perpendicular bisector of a line segment joining points A(1,5) and B(4,6) cuts Y-axis at (A) (0, 13) (B) (0, –13) (C) (0, 12) (D) (13, 0)
Answer» Question 14 The perpendicular bisector of a line segment joining points A(1,5) and B(4,6) cuts Y-axis at (A) (0, 13) (B) (0, –13) (C) (0, 12) (D) (13, 0)

Discussion

8611.	ABCD and BCEF are parallelograms. If area of ∆EBC = 120 cm2 then area of parallelogram ABCD is equal to
Answer» ABCD and BCEF are parallelograms. If area of ∆EBC = 120 cm² then area of parallelogram ABCD is equal to

Discussion

8612.	An aeroplane flies 16 km/h with a head wind in 3.5 hours . On return trip with same wind blowing , the plane takes 3 hours .
Answer» An aeroplane flies 16 km/h with a head wind in 3.5 hours . On return trip with same wind blowing , the plane takes 3 hours .

Discussion

8613.	The radius of the circle given above is 7cm and the angle subtended by the arc is 60∘. If the area of ΔOAB is 21cm2, then the area of segment APB is___ .(Take the value of π as 227)
Answer» The radius of the circle given above is 7cm and the angle subtended by the arc is $60^{\circ}$ . If the area of $Δ$ OAB is $21 {c m}^{2}$ , then the area of segment APB is___ .(Take the value of $π$ as $\frac{22}{7}$ )

Discussion

8614.	Please answer this alone very fastly This is from congruence of numbers Find the last two digits of 31997
Answer» Please answer this alone very fastly This is from congruence of numbers Find the last two digits of 3¹⁹⁹⁷

8614.

Please answer this alone very fastly This is from congruence of numbers Find the last two digits of 31997

Answer»

Please answer this alone very fastly

This is from congruence of numbers

Find the last two digits of 3¹⁹⁹⁷

Discussion

8615.	Prove that (-2+\sqrt{5 }) is irrational
Answer» Prove that (-2+\sqrt{5 }) is irrational

Discussion

8616.	Without actually calculating the cubes, find the value of (−12)3+(7)3+(5)3
Answer» Without actually calculating the cubes, find the value of ${(- 12)}^{3} + {(7)}^{3} + {(5)}^{3}$

Discussion

8617.	The median of the following data : 0, 2, 2, 2, −3, 5, −1, 5, −3, 6, 6, 5, 6 is(a) 0(b) −1.5(c) 2(d) 3.5
Answer» The median of the following data : 0, 2, 2, 2, −3, 5, −1, 5, −3, 6, 6, 5, 6 is (a) 0 (b) −1.5 (c) 2 (d) 3.5

Discussion

8618.	Question 8(ii)Using (x+a)(x+b)=x2+(a+b)x+ab, find5.1×5.2
Answer» Question 8(ii) Using $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , find $5.1 \times 5.2$

Discussion

8619.	In the given figure, ABCD is a parallelogram. P and Q are midpoints of AB and AD respectively. Area Δ CPQ : Area of parallelogram ABCD is equal to
Answer» In the given figure, ABCD is a parallelogram. P and Q are midpoints of AB and AD respectively. Area $Δ C P Q$ : Area of parallelogram ABCD is equal to

8619.

In the given figure, ABCD is a parallelogram. P and Q are midpoints of AB and AD respectively. Area Δ CPQ : Area of parallelogram ABCD is equal to

Answer»

In the given figure, ABCD is a parallelogram. P and Q are midpoints of AB and AD respectively. Area $Δ C P Q$ : Area of parallelogram ABCD is equal to

Discussion

8620.	The expresssion x4+4 can be factorized as
Answer» The expresssion $x^{4} + 4$ can be factorized as

Discussion

8621.	Insert three rational numbers between: (i) 25 and 37 (ii) 411 and 916
Answer» Insert three rational numbers between: (i) $\frac{2}{5}$ and $\frac{3}{7}$ (ii) $\frac{4}{11}$ and $\frac{9}{16}$

8621.

Insert three rational numbers between: (i) 25 and 37 (ii) 411 and 916

Answer»

Insert three rational numbers between:

(i) $\frac{2}{5}$ and $\frac{3}{7}$

(ii) $\frac{4}{11}$ and $\frac{9}{16}$

Discussion

8622.	what is elementary charg
Answer» what is elementary charg

Discussion

8623.	The monthly salaries in rupees of 30 workers in a factory are given below. 5000, 7000, 3000, 4000, 4000, 3000, 3000, 3000, 8000, 4000, 4000, 9000, 3000, 5000, 5000, 4000, 4000, 3000, 5000, 5000, 6000, 8000, 3000, 3000, 6000, 7000, 7000, 6000, 6000, 4000 From the above data find the mean of monthly salary.
Answer» The monthly salaries in rupees of 30 workers in a factory are given below. 5000, 7000, 3000, 4000, 4000, 3000, 3000, 3000, 8000, 4000, 4000, 9000, 3000, 5000, 5000, 4000, 4000, 3000, 5000, 5000, 6000, 8000, 3000, 3000, 6000, 7000, 7000, 6000, 6000, 4000 From the above data find the mean of monthly salary.

Discussion

8624.	Using correct three decimals.
Answer» Using correct three decimals.

8624.

Using correct three decimals.

Answer»

Using correct three decimals.

Discussion

8625.	Rationalising √2+√3√3−√2 will give __________.
Answer» Rationalising $\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3} - \sqrt{2}}$ will give __________.

Discussion

8626.	The linear equation y= x + 2 has-
Answer» The linear equation y= x + 2 has-

Discussion

8627.	In a frequency distribution, the mid value of a class is 42 and the width of the class is 10, then the class interval is ________.
Answer» In a frequency distribution, the mid value of a class is 42 and the width of the class is 10, then the class interval is ________.

Discussion

8628.	Find the mean proportional between 0.3 and 2.7
Answer» Find the mean proportional between 0.3 and 2.7

Discussion

8629.

How are the following dealt with while preparing the final accounts of a sports club for the year ended 31st March, 2019? RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31st March, 2019 Dr. Cr. Receipts ₹ Payments ₹ To Sale of Sports Materials 26,000 By Creditors for Sports Materials 61,000 (Book value ₹ 20,000) By Cash purchase of Sports Materials 10,000 Additional information : As at 31st March, 2018 (₹) As at 31st March, 2019 (₹) Sports Materials 20,000 25,000 Creditors for Sports Materials 7,000 15,000

Answer» How are the following dealt with while preparing the final accounts of a sports club for the year ended 31st March, 2019?

RECEIPTS AND PAYMENTS ACCOUNT

for the year ended 31st March, 2019
Dr.			Cr.
Receipts	₹	Payments	₹
To Sale of Sports Materials	26,000	By Creditors for Sports Materials	61,000
(Book value ₹ 20,000)		By Cash purchase of Sports Materials	10,000

Additional information :

	As at 31st March, 2018 (₹)	As at 31st March, 2019 (₹)
Sports Materials	20,000	25,000
Creditors for Sports Materials	7,000	15,000

Discussion

8630.	Write whether the following statements are True or False?(i) The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12.(ii) The graph of the linear equation x + 2y = 7 passes through the point (0, 7).
Answer» Write whether the following statements are True or False? (i) The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12. (ii) The graph of the linear equation x + 2y = 7 passes through the point (0, 7).

Discussion

8631.	In each of the figures given below, AB \|\| CD. Find the value of x in each case.
Answer» In each of the figures given below, AB \|\| CD. Find the value of x in each case.

8631.

In each of the figures given below, AB || CD. Find the value of x in each case.

Answer»

In each of the figures given below, AB || CD. Find the value of x in each case.

Discussion

8632.	In the given figure BMCDE is a straight line where D and C are mid points of CE and BE respectively. Find the length (in units) of triangle ABC’s median AM if E (6, 5), D (3, 5) and A (4, 8).
Answer» In the given figure BMCDE is a straight line where D and C are mid points of CE and BE respectively. Find the length (in units) of triangle ABC’s median AM if E (6, 5), D (3, 5) and A (4, 8).

Discussion

8633.	Which of the following statements is incorrect?
Answer» Which of the following statements is incorrect?

Discussion

8634.	ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC = 70°, ∠BAC is 30°, find ∠BCD. Further, if AB = BC, find ∠ECD.
Answer» ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC = 70°, ∠BAC is 30°, find ∠BCD. Further, if AB = BC, find ∠ECD.

Discussion

8635.	Construct a triangle ABC with the following data: AB = 3 cm,BC = 4 cm and AC = 5 cm. Find its inradius.
Answer» Construct a triangle ABC with the following data: AB = 3 cm,BC = 4 cm and AC = 5 cm. Find its inradius.

Discussion

8636.	Which of the following doesn't lie on 4x - y = 8?
Answer» Which of the following doesn't lie on 4x - y = 8?

Discussion

8637.	Question 5Without plotting the points indicate the quadrant in which they will lie ifi. the ordinate is 5 and abscissa is - 3.ii. the abscissa is - 5 and ordinate is - 3.iii. the abscissa is -5 and ordinate is 3.iv. the ordinate is 5 and abscissa is 3.
Answer» Question 5 Without plotting the points indicate the quadrant in which they will lie if i. the ordinate is 5 and abscissa is - 3. ii. the abscissa is - 5 and ordinate is - 3. iii. the abscissa is -5 and ordinate is 3. iv. the ordinate is 5 and abscissa is 3.

Discussion

8638.	The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set _________.(Data is arranged in ascending order)
Answer» The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set _________. (Data is arranged in ascending order)

Discussion

8639.	BC is chord of a circle with centre O. A is a point on major arc BC. Find the total measure of ∠BAC and ∠OBC.
Answer» BC is chord of a circle with centre O. A is a point on major arc BC. Find the total measure of $∠ B A C$ and $∠ O B C$ .

Discussion

8640.	A, B, C are three sets of values of x:(a) A: 2, 3, 7, 1, 3, 2, 3(b) 7, 5, 9, 12, 5, 3, 8(c) 4, 4, 11, 7, 2, 3, 4Which one of the following statements is correct?(a) Mean of A = Mode of C(b) Mean of C = Median of B(c) Median of B = Mode of A(d)Mean, Median and Mode of A are equal.
Answer» A, B, C are three sets of values of x: (a) A: 2, 3, 7, 1, 3, 2, 3 (b) 7, 5, 9, 12, 5, 3, 8 (c) 4, 4, 11, 7, 2, 3, 4 Which one of the following statements is correct? (a) Mean of A = Mode of C (b) Mean of C = Median of B (c) Median of B = Mode of A (d)Mean, Median and Mode of A are equal.

Discussion

8641.	ΔABC is right angled at C with sides AB = 10 cm and AC = 6 cm. Find Cos(∠B).
Answer» $Δ A B C$ is right angled at C with sides AB = 10 cm and AC = 6 cm. Find Cos( $∠$ B).

Discussion

8642.	In ΔABC, if ∠A = 40° and ∠B = 60°. Determine the longest and shortest sides of the triangle.
Answer» In ΔABC, if ∠A = 40° and ∠B = 60°. Determine the longest and shortest sides of the triangle.

Discussion

8643.	Question 28The factors of x2−4 area) (x−2),(x−2)b) (x+2),(x−2)c) (x+2),(x+2)d) (x−4),(x−4)
Answer» Question 28 The factors of $x^{2} - 4$ are a) $(x - 2), (x - 2)$ b) $(x + 2), (x - 2)$ c) $(x + 2), (x + 2)$ d) $(x - 4), (x - 4)$

Discussion

8644.	79.Sum of integral values of n such that sinx(2sinx+cosx)=n has at least one real solution is
Answer» 79.Sum of integral values of n such that sinx(2sinx+cosx)=n has at least one real solution is

Discussion

8645.	In triangles ABC and CDE, if AC = CE, BC = CD, ∠A = 60°, ∠C = 30° and ∠D = 90°.Are two triangles congruent?
Answer» In triangles ABC and CDE, if AC = CE, BC = CD, ∠A = 60°, ∠C = 30° and ∠D = 90°. Are two triangles congruent?

Discussion

8646.	The difference of two complementary angles is 40o. Then the angles are :-
Answer» The difference of two complementary angles is $40^{o}$ . Then the angles are :-

Discussion

8647.	Question 2 (ii)1500 families with 2 children were selected randomly, and the following data was recorded:Number of girls in a family210Number of families475814211Compute the probability of a family, chosen at random, having 1 girl.
Answer» Question 2 (ii) 1500 families with 2 children were selected randomly, and the following data was recorded: $\begin{matrix} Number of girls in a family & 2 & 1 & 0 Number of families & 475 & 814 & 211 \end{matrix}$ Compute the probability of a family, chosen at random, having 1 girl.

Discussion

8648.	Is 3 a rational number?
Answer» Is 3 a rational number?

Discussion

8649.	The base of a prism is a right angled triangle having its base and altitude as 12 cm and 16 cm, respectively. What is the total surface area of the prism if height of prism is 22 cm?
Answer» The base of a prism is a right angled triangle having its base and altitude as 12 cm and 16 cm, respectively. What is the total surface area of the prism if height of prism is 22 cm?

Discussion

8650.	ABCD is a parallelogram. If two diagonals are equal, what is the measure of angle ABC?
Answer» ABCD is a parallelogram. If two diagonals are equal, what is the measure of angle ABC?

Discussion

Explore topic-wise InterviewSolutions in .

Anas used to save 20% of his salary. When his salary increased by 20%, his expenses also increased by 25% of his earlier expenses. How much percentage of his salary does he save now?

If 3cot A=4, then find cos2 A - sin2 A

f(x)=[√log0.5(x^2 + x + 6)]+ 1/x^2 +2x find domain

A torn piece of calendar has some numbers missing as shown. Which number will come in the second square of the third row?

Mark the correct alternative in each of the following:The number of surfaces of a cone has, is(a) 1(b) 2(c) 3(d) 4

ix) }(-\sqrt5+2\sqrt{-4})+(1-\sqrt{-9})+(2+3i)(2-3i)

Two circles intersect as shown in the diagram below. The radii of the circles are 14 cm each and ∠AOP=45∘​ What is the area of the region shaded in blue?

Arrange the fractions 23, 34, 12 and 56 in ascending order.

Question 14 The perpendicular bisector of a line segment joining points A(1,5) and B(4,6) cuts Y-axis at (A) (0, 13) (B) (0, –13) (C) (0, 12) (D) (13, 0)

ABCD and BCEF are parallelograms. If area of ∆EBC = 120 cm2 then area of parallelogram ABCD is equal to

An aeroplane flies 16 km/h with a head wind in 3.5 hours . On return trip with same wind blowing , the plane takes 3 hours .

The radius of the circle given above is 7cm and the angle subtended by the arc is 60∘. If the area of ΔOAB is 21cm2, then the area of segment APB is___ .(Take the value of π as 227)

Please answer this alone very fastly This is from congruence of numbers Find the last two digits of 31997

Prove that (-2+\sqrt{5 }) is irrational

Without actually calculating the cubes, find the value of (−12)3+(7)3+(5)3

The median of the following data : 0, 2, 2, 2, −3, 5, −1, 5, −3, 6, 6, 5, 6 is(a) 0(b) −1.5(c) 2(d) 3.5

Question 8(ii)Using (x+a)(x+b)=x2+(a+b)x+ab, find5.1×5.2

In the given figure, ABCD is a parallelogram. P and Q are midpoints of AB and AD respectively. Area Δ CPQ : Area of parallelogram ABCD is equal to

The expresssion x4+4 can be factorized as

Insert three rational numbers between: (i) 25 and 37 (ii) 411 and 916

what is elementary charg

Using correct three decimals.

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

The linear equation y= x + 2 has-

In a frequency distribution, the mid value of a class is 42 and the width of the class is 10, then the class interval is ________.

Find the mean proportional between 0.3 and 2.7

Write whether the following statements are True or False?(i) The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12.(ii) The graph of the linear equation x + 2y = 7 passes through the point (0, 7).

In each of the figures given below, AB || CD. Find the value of x in each case.

In the given figure BMCDE is a straight line where D and C are mid points of CE and BE respectively. Find the length (in units) of triangle ABC’s median AM if E (6, 5), D (3, 5) and A (4, 8).

Which of the following statements is incorrect?

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC = 70°, ∠BAC is 30°, find ∠BCD. Further, if AB = BC, find ∠ECD.

Construct a triangle ABC with the following data: AB = 3 cm,BC = 4 cm and AC = 5 cm. Find its inradius.

Which of the following doesn't lie on 4x - y = 8?

Question 5Without plotting the points indicate the quadrant in which they will lie ifi. the ordinate is 5 and abscissa is - 3.ii. the abscissa is - 5 and ordinate is - 3.iii. the abscissa is -5 and ordinate is 3.iv. the ordinate is 5 and abscissa is 3.

The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set _________.(Data is arranged in ascending order)

BC is chord of a circle with centre O. A is a point on major arc BC. Find the total measure of ∠BAC and ∠OBC.

A, B, C are three sets of values of x:(a) A: 2, 3, 7, 1, 3, 2, 3(b) 7, 5, 9, 12, 5, 3, 8(c) 4, 4, 11, 7, 2, 3, 4Which one of the following statements is correct?(a) Mean of A = Mode of C(b) Mean of C = Median of B(c) Median of B = Mode of A(d)Mean, Median and Mode of A are equal.

ΔABC is right angled at C with sides AB = 10 cm and AC = 6 cm. Find Cos(∠B).

In ΔABC, if ∠A = 40° and ∠B = 60°. Determine the longest and shortest sides of the triangle.

Question 28The factors of x2−4 area) (x−2),(x−2)b) (x+2),(x−2)c) (x+2),(x+2)d) (x−4),(x−4)

79.Sum of integral values of n such that sinx(2sinx+cosx)=n has at least one real solution is

In triangles ABC and CDE, if AC = CE, BC = CD, ∠A = 60°, ∠C = 30° and ∠D = 90°.Are two triangles congruent?

The difference of two complementary angles is 40o. Then the angles are :-

Question 2 (ii)1500 families with 2 children were selected randomly, and the following data was recorded:Number of girls in a family210Number of families475814211Compute the probability of a family, chosen at random, having 1 girl.

Is 3 a rational number?

The base of a prism is a right angled triangle having its base and altitude as 12 cm and 16 cm, respectively. What is the total surface area of the prism if height of prism is 22 cm?

ABCD is a parallelogram. If two diagonals are equal, what is the measure of angle ABC?

Two circles intersect as shown in the diagram below. The radii of the circles are 14 cm each and ∠AOP=45∘ What is the area of the region shaded in blue?