24740 + Interview Questions in Mathematics

1.	Which is greater 3112 or 1717
Answer» Which is greater $31^{12} o r 17^{17}$

Discussion

2.	In the adjoining figure, M is the midpoint of side BC of a parallelogram ABCD such that ∠BAM=∠DAM. Prove that AD = 2CD.
Answer» In the adjoining figure, M is the midpoint of side BC of a parallelogram ABCD such that $∠ B A M = ∠ D A M$ . Prove that AD = 2CD.

Discussion

3.	Construct, if possible, a quadrilateral ABCD in which AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.5 cm and AC = 11 cm. Give reasons for not being able to construct, if you cannot.
Answer» Construct, if possible, a quadrilateral ABCD in which AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.5 cm and AC = 11 cm. Give reasons for not being able to construct, if you cannot.

Discussion

4.	Find the perimeter (in ft) of the given swimming pool.28
Answer» Find the perimeter (in ft) of the given swimming pool. 28

Discussion

5.	Represent 10.5 on the number line.
Answer» Represent $\sqrt{10.5}$ on the number line.

Discussion

6.	8a3 − 27b3 − 36a2b + 54ab2
Answer» 8a³ − 27b³ − 36a²b + 54ab²

Discussion

7.	Cash Book of a merchant showed bank balance of ₹ 23,000 on 31st March, 2018. On going through the Cash Book, it was found that two cheques for ₹ 5,000 and ₹ 7,000 deposited in the month of March were not credited in the Pass Book till 2nd April, 2018 and three cheques for ₹ 6,000, ₹ 8,000 and ₹ 12,000 issued on 28th March, were not presented for payment till 3rd April, 2018. In addition to this, bank had credited merchant for ₹ 125 as interest and had debited him for ₹ 100 as bank charges for which entries in Cash Book were not recorded. Bank charges of ₹ 500 were reversed by the Bank.Prepare Bank Reconciliation Statement as on 31st March, 2018.
Answer» Cash Book of a merchant showed bank balance of ₹ 23,000 on 31st March, 2018. On going through the Cash Book, it was found that two cheques for ₹ 5,000 and ₹ 7,000 deposited in the month of March were not credited in the Pass Book till 2nd April, 2018 and three cheques for ₹ 6,000, ₹ 8,000 and ₹ 12,000 issued on 28th March, were not presented for payment till 3rd April, 2018. In addition to this, bank had credited merchant for ₹ 125 as interest and had debited him for ₹ 100 as bank charges for which entries in Cash Book were not recorded. Bank charges of ₹ 500 were reversed by the Bank. Prepare Bank Reconciliation Statement as on 31st March, 2018.

Discussion

8.	A person recorded the speed (in km/hr) of six motorists as 40, 50, 53, 55, 45 and 47. What is the average speed of these six motorists?
Answer» A person recorded the speed (in km/hr) of six motorists as 40, 50, 53, 55, 45 and 47. What is the average speed of these six motorists?

Discussion

9.	In figure A,B,C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 80∘and 120∘ respectively. Determine ∠BAC and the degree measure of arc BPC.
Answer» In figure $A, B, C$ are three points on a circle such that the angles subtended by the chord $A B$ and $A C$ at the centre $O$ are $80^{\circ}$ and $120^{\circ}$ respectively. Determine $∠ B A C$ and the degree measure of arc $B P C$ .

9.

In figure A,B,C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 80∘and 120∘ respectively. Determine ∠BAC and the degree measure of arc BPC.

Answer»

In figure $A, B, C$ are three points on a circle such that the angles subtended by the chord $A B$ and $A C$ at the centre $O$ are $80^{\circ}$ and $120^{\circ}$ respectively. Determine $∠ B A C$ and the degree measure of arc $B P C$ .

Discussion

10.	We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, ∠ABC=110∘, ∠DAC = 15∘, ∠CAB=25∘, AB = 5cm, CD = 7cm. Can we construct this parallelogram?
Answer» We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, $∠$ ABC= $110^{\circ}$ , $∠$ DAC = $15^{\circ}$ , $∠$ CAB= $25^{\circ}$ , AB = 5cm, CD = 7cm. Can we construct this parallelogram?

Discussion

11.	can be constructed with the help of just a ruler and a pair of compasses.
Answer» can be constructed with the help of just a ruler and a pair of compasses.

Discussion

12.	90.in the given fig. AD is the bisector of angle A . prove that AB/AC=BD/DC
Answer» 90.in the given fig. AD is the bisector of angle A . prove that AB/AC=BD/DC

Discussion

13.	Find the value of x+y, if ABCD is a parallelogram. 7
Answer» Find the value of $x + y$ , if $A B C D$ is a parallelogram. 7

Discussion

14.	Choose the rational number?
Answer» Choose the rational number?

Discussion

15.	What is the sum of the angles at a point ?
Answer» What is the sum of the angles at a point ?

Discussion

16.	The product (x2−1) (x4 + x2 + 1) is equal to(a) x8 − 1(b) x8 + 1(c) x6 − 1(d) x6 + 1
Answer» The product (x²−1) (x⁴ + x² + 1) is equal to (a) x⁸ − 1 (b) x⁸ + 1 (c) x⁶ − 1 (d) x⁶ + 1

Discussion

17.	If the polynomial y3 - 5y2 + 7y + m is divided by y + 2 and the remainder is 50 then find the value of m.
Answer» If the polynomial $y^{3} - 5 y^{2} + 7 y + m$ is divided by y + 2 and the remainder is 50 then find the value of m.

Discussion

18.	1+tan2A1+cot2A=?(a) –1(b) sec2A(c) tan2A(d) cot2A
Answer» $\frac{1 + \tan^{2} A}{1 + \cot^{2} A} = ?$ (a) –1 (b) sec²A (c) tan²A (d) cot²A

Discussion

19.	If α,β,γ are the lengths of internal bisectors of angles A,B,C respectively of ΔABC, then ∑1αcosA2 is:
Answer» If $α, β, γ$ are the lengths of internal bisectors of angles $A, B, C$ respectively of $Δ A B C$ , then $\sum \frac{1}{α} cos \frac{A}{2}$ is:

Discussion

20.	In triangle ABC prove AB+BC+CA >2AB
Answer» In triangle ABC prove AB+BC+CA >2AB

Discussion

21.	△ABC is an isosceles triangle and AB = AC. If side BA is produced to D such that BA = AD, what is the measure of ∠DCB?
Answer» $△ A B C$ is an isosceles triangle and AB = AC. If side BA is produced to D such that BA = AD, what is the measure of $∠ D C B$ ?

Discussion

22.	D is the mid-point of side BC of ΔABC and E is the mid point of BD. If O is the midpoint of AE, then area of (ΔBOE) is equal to
Answer» D is the mid-point of side BC of $Δ A B C$ and E is the mid point of BD. If O is the midpoint of AE, then area of ( $Δ B O E$ ) is equal to

Discussion

23.	36. The sides of a triangle are 2006cm,6002cm and k cm, k is a +ve integer.find the no of such possible trianles.
Answer» 36. The sides of a triangle are 2006cm,6002cm and k cm, k is a +ve integer.find the no of such possible trianles.

Discussion

24.	The number of students attending 13 classess were counted.The data is as follows:- 14,15,16,17,18,17,16,15,14,13,13,13,18.Draw a frequency table and find the most frequent number of students that attend the classes.
Answer» The number of students attending 13 classess were counted.The data is as follows:- 14,15,16,17,18,17,16,15,14,13,13,13,18. Draw a frequency table and find the most frequent number of students that attend the classes.

Discussion

25.	Question 20Factorised form of r2−10r+21 isa) (r−1)(r−4)b) (r−7)(r−3)c) (r−7)(r+3)d) (r+7)(r+3)
Answer» Question 20 Factorised form of $r^{2} - 10 r + 21$ is a) $(r - 1) (r - 4)$ b) $(r - 7) (r - 3)$ c) $(r - 7) (r + 3)$ d) $(r + 7) (r + 3)$

Discussion

26.	If each edge of a cube is increased by 50%, then its total surface area is increased by .
Answer» If each edge of a cube is increased by $50 %$ , then its total surface area is increased by .

Discussion

27.	In the following figure, the measure of ∠DBC is(a) 10°(b) 40°(c) 60°(d) 30°
Answer» In the following figure, the measure of $∠ D B C$ is (a) 10° (b) 40° (c) 60° (d) 30°

Discussion

28.	Medians of ΔABC intersect at G. If ar (ΔABC) = 27 cm2, then ar (ΔBGC) =(a) 6 cm2(b) 9 cm2(c) 12 cm2(d) 18 cm2
Answer» Medians of ΔABC intersect at G. If ar (ΔABC) = 27 cm², then ar (ΔBGC) = (a) 6 cm² (b) 9 cm² (c) 12 cm² (d) 18 cm²

Discussion

29.	If In=∫xn⋅eaxdx for n∈N,n≥1, then a⋅In+n⋅In−1=(where C is integration constant)
Answer» If $I_{n} = \int x^{n} \cdot e^{a x} d x$ for $n \in N, n \geq 1,$ then $a \cdot I_{n} + n \cdot I_{n - 1} =$ (where $C$ is integration constant)

Discussion

30.

The following table gives the distribution of students of two sections according to the mark obtained by them: Section A Section B Marks Frequency Marks Frequency 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 3 9 17 12 9 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 5 19 15 10 1 Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.

Answer»

The following table gives the distribution of students of two sections according to the mark obtained by them:

Section A

Section B

Marks

Frequency

Marks

Frequency

0 − 10

10 − 20

20 − 30

30 − 40

40 − 50

3

9

17

12

9

0 − 10

10 − 20

20 − 30

30 − 40

40 − 50

5

19

15

10

1

Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.

Discussion

31.	Find the zeroes of the quadratic polynomial 3x2 – 75 and verify the relationship between the zeroes and the coefficients.
Answer» Find the zeroes of the quadratic polynomial 3x2 – 75 and verify the relationship between the zeroes and the coefficients.

Discussion

32.	Question 85(iii)Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.Do the points lie on a line?
Answer» Question 85(iii) Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below. Do the points lie on a line?

Discussion

33.	Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.
Answer» Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

Discussion

34.	The Linear equation of the following graph is:
Answer» The Linear equation of the following graph is:

34.

The Linear equation of the following graph is:

Answer»

The Linear equation of the following graph is:

Discussion

35.	6. A cubic polynomial fx)axbx2 + cx + d hasa graph which touches the x-axis at 2, has anox-intercept at-1 and has y-intercept at -2 as shown. Thevalue of, a +b+c+ d equals to431/2 3 42
Answer» 6. A cubic polynomial fx)axbx2 + cx + d hasa graph which touches the x-axis at 2, has anox-intercept at-1 and has y-intercept at -2 as shown. Thevalue of, a +b+c+ d equals to431/2 3 42

Discussion

36.	Find x in the following figures:(a)(b)
Answer» Find x in the following figures: (a) (b)

Discussion

37.	In triangle ABC, D is mid-point of AB and P is any point on BC. If CA parallel to PD meets AB at Q, prove that: 2× area(∆ABC)= area (∆ABC)
Answer» In triangle ABC, D is mid-point of AB and P is any point on BC. If CA parallel to PD meets AB at Q, prove that: 2× area(∆ABC)= area (∆ABC)

Discussion

38.	A vector of magnitude 6, making angle π4 with x-axis, π3 with y-axis and an acute angle with z-axis is ____________.
Answer» A vector of magnitude 6, making angle $\frac{π}{4} with x - axis, \frac{π}{3}$ with y-axis and an acute angle with z-axis is ____________.

Discussion

39.	In △ABC, the value of x(in degrees) is 110
Answer» In $△$ ABC, the value of x(in degrees) is 110

Discussion

40.	If 3x+2x=7, then (9x2−4x2)=
Answer» $If 3 x + \frac{2}{x} = 7, then (9 x^{2} - \frac{4}{x^{2}})$ =

Discussion

41.	The aggregate monthly expenditure of a family was Rs.18720 during the first 3 months, Rs.20340 during the next 4 months and Rs.21708 during the last 5 months of a year. If the total savings during the year be Rs. find the average monthly income of the family.
Answer» The aggregate monthly expenditure of a family was $R s . 18720$ during the first $3$ months, $R s . 20340$ during the next $4$ months and $R s .21708$ during the last $5$ months of a year. If the total savings during the year be Rs. find the average monthly income of the family.

Discussion

42.	Factorize:x2+1x2 - 4 x + 1x+6
Answer» Factorize: $(x^{2} + \frac{1}{x^{2}}) - 4 (x + \frac{1}{x}) + 6$

Discussion

43.	The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten's digit of the number are x and y respectively, then write the linear equation representing the above statement.
Answer» The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten's digit of the number are x and y respectively, then write the linear equation representing the above statement.

Discussion

44.	24-hr traffic count at a road section was observed to be 1000 vehicles on a Tuesday in the month of July. If daily adjustment factor for Tuesday is 1.121 and monthly adjustment factor for July is 0.913, the Annual Average Daily Traffic (in Veh\day, round off to the nearest integer) is _____1024
Answer» 24-hr traffic count at a road section was observed to be 1000 vehicles on a Tuesday in the month of July. If daily adjustment factor for Tuesday is 1.121 and monthly adjustment factor for July is 0.913, the Annual Average Daily Traffic (in Veh\day, round off to the nearest integer) is _____ 1024

Discussion

45.	5\sqrt3x^2+7x-2\sqrt3
Answer» 5\sqrt3x^2+7x-2\sqrt3

Discussion

46.	Question 50Answer True/False.The distance between New Delhi and Bhopal is not a variable.
Answer» Question 50 Answer True/False. The distance between New Delhi and Bhopal is not a variable.

46.

Question 50Answer True/False.The distance between New Delhi and Bhopal is not a variable.

Answer»

Question 50

Answer True/False.

The distance between New Delhi and Bhopal is not a variable.

Discussion

47.	Simplify (2√5+3√2)2
Answer» Simplify $(2 \sqrt{5} + 3 \sqrt{2})^{2}$

Discussion

48.	Evaluate (102)2 using suitable identity
Answer» Evaluate $(102)^{2}$ using suitable identity

Discussion

49.	Solution set of the inequality log7x−2x−3<0 is
Answer» Solution set of the inequality $l o g_{7} \frac{x - 2}{x - 3} < 0$ is

Discussion

50.	19. Find the equation of the line of intersection of the planes 4x+4y-5z=12, 8x+12y-13z=32 in the symmetric form
Answer» 19. Find the equation of the line of intersection of the planes 4x+4y-5z=12, 8x+12y-13z=32 in the symmetric form

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Which is greater 3112 or 1717

In the adjoining figure, M is the midpoint of side BC of a parallelogram ABCD such that ∠BAM=∠DAM. Prove that AD = 2CD.

Construct, if possible, a quadrilateral ABCD in which AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.5 cm and AC = 11 cm. Give reasons for not being able to construct, if you cannot.

Find the perimeter (in ft) of the given swimming pool.28

Represent 10.5 on the number line.

8a3 − 27b3 − 36a2b + 54ab2

A person recorded the speed (in km/hr) of six motorists as 40, 50, 53, 55, 45 and 47. What is the average speed of these six motorists?

In figure A,B,C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 80∘and 120∘ respectively. Determine ∠BAC and the degree measure of arc BPC.

We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, ∠ABC=110∘, ∠DAC = 15∘, ∠CAB=25∘, AB = 5cm, CD = 7cm. Can we construct this parallelogram?

can be constructed with the help of just a ruler and a pair of compasses.

90.in the given fig. AD is the bisector of angle A . prove that AB/AC=BD/DC

Find the value of x+y, if ABCD is a parallelogram. 7

Choose the rational number?

What is the sum of the angles at a point ?

The product (x2−1) (x4 + x2 + 1) is equal to(a) x8 − 1(b) x8 + 1(c) x6 − 1(d) x6 + 1

If the polynomial y3 - 5y2 + 7y + m is divided by y + 2 and the remainder is 50 then find the value of m.

1+tan2A1+cot2A=?(a) –1(b) sec2A(c) tan2A(d) cot2A

If α,β,γ are the lengths of internal bisectors of angles A,B,C respectively of ΔABC, then ∑1αcosA2 is:

In triangle ABC prove AB+BC+CA &gt;2AB

△ABC is an isosceles triangle and AB = AC. If side BA is produced to D such that BA = AD, what is the measure of ∠DCB?

D is the mid-point of side BC of ΔABC and E is the mid point of BD. If O is the midpoint of AE, then area of (ΔBOE) is equal to

36. The sides of a triangle are 2006cm,6002cm and k cm, k is a +ve integer.find the no of such possible trianles.

The number of students attending 13 classess were counted.The data is as follows:- 14,15,16,17,18,17,16,15,14,13,13,13,18.Draw a frequency table and find the most frequent number of students that attend the classes.

Question 20Factorised form of r2−10r+21 isa) (r−1)(r−4)b) (r−7)(r−3)c) (r−7)(r+3)d) (r+7)(r+3)

If each edge of a cube is increased by 50%, then its total surface area is increased by .

In the following figure, the measure of ∠DBC is(a) 10°(b) 40°(c) 60°(d) 30°

Medians of ΔABC intersect at G. If ar (ΔABC) = 27 cm2, then ar (ΔBGC) =(a) 6 cm2(b) 9 cm2(c) 12 cm2(d) 18 cm2

If In=∫xn⋅eaxdx for n∈N,n≥1, then a⋅In+n⋅In−1=(where C is integration constant)

Find the zeroes of the quadratic polynomial 3x2 – 75 and verify the relationship between the zeroes and the coefficients.

Question 85(iii)Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.Do the points lie on a line?

Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

The Linear equation of the following graph is:

6. A cubic polynomial fx)axbx2 + cx + d hasa graph which touches the x-axis at 2, has anox-intercept at-1 and has y-intercept at -2 as shown. Thevalue of, a +b+c+ d equals to431/2 3 42

Find x in the following figures:(a)(b)

In triangle ABC, D is mid-point of AB and P is any point on BC. If CA parallel to PD meets AB at Q, prove that: 2× area(∆ABC)= area (∆ABC)

A vector of magnitude 6, making angle π4 with x-axis, π3 with y-axis and an acute angle with z-axis is ____________.

In △ABC, the value of x(in degrees) is 110

If 3x+2x=7, then (9x2−4x2)=

The aggregate monthly expenditure of a family was Rs.18720 during the first 3 months, Rs.20340 during the next 4 months and Rs.21708 during the last 5 months of a year. If the total savings during the year be Rs. find the average monthly income of the family.

Factorize:x2+1x2 - 4 x + 1x+6

The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten's digit of the number are x and y respectively, then write the linear equation representing the above statement.

24-hr traffic count at a road section was observed to be 1000 vehicles on a Tuesday in the month of July. If daily adjustment factor for Tuesday is 1.121 and monthly adjustment factor for July is 0.913, the Annual Average Daily Traffic (in Veh\day, round off to the nearest integer) is _____1024

5\sqrt3x^2+7x-2\sqrt3

Question 50Answer True/False.The distance between New Delhi and Bhopal is not a variable.

Simplify (2√5+3√2)2

Evaluate (102)2 using suitable identity

Solution set of the inequality log7x−2x−3&lt;0 is

19. Find the equation of the line of intersection of the planes 4x+4y-5z=12, 8x+12y-13z=32 in the symmetric form

In triangle ABC prove AB+BC+CA >2AB

Solution set of the inequality log7x−2x−3<0 is