24740 + Interview Questions in Mathematics

1.	13. the area of right triangle whose hypotenuse and one of the two remaining sides are of length 13m and 5m respectively
Answer» 13. the area of right triangle whose hypotenuse and one of the two remaining sides are of length 13m and 5m respectively

Discussion

2.	Question 14The perpendicular from A on side BC of a ΔABC intersects BC at D such that DB = 3CD .Prove that 2AB2=2AC2+BC2.
Answer» Question 14 The perpendicular from A on side BC of a $Δ A B C$ intersects BC at D such that DB = 3CD .Prove that $2 A B^{2} = 2 A C^{2} + B C^{2}$ .

Discussion

3.	PART is an isoceles trapezium. Find the value of y. 9
Answer» PART is an isoceles trapezium. Find the value of y. 9

Discussion

4.

From the following Receipts and Payments Account and additional information given below, prepare Income and Expenditure Account and Balance Sheet of Rural Literacy Society as on 31st March, 2019: RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31 st March, 2019 Dr. Cr. Receipts Amount (₹) Payments Amount (₹) To Balance b/d: By General Expenses 32,000 Cash in Hand 40,000 By Newspaper 18,500 Cash at Bank 1,55,500 By Electricity 30,000 To Subscriptions: By Fixed Deposit with Bank 1,80,000 2017-18 12,000 (On 30th September, 2018 10% p.a.) 2018-19 2,65,000 By Books 70,000 2019-20 5,000 2,82,000 By Salary 36,000 To Legacy 12,500 By Rent 65,000 To Government Grant 1,20,000 By Postage Charges 3,000 To Sale of Old Furniture 37,000 By Furniture (purchased) 1,05,000 (Book value ₹ 50,000) By Balance c/d: To Interest received on Fixed Deposit 4,500 Cash in Hand 30,000 Cash at Bank 82,000 6,51,500 6,51,500 Additional information:(i) Subscription outstanding as on 31st March, 2018 ₹ 20,000 and on 31st March, 2019 ₹ 15,000.(ii) On 31st March, 2019, salary outstanding ₹ 6,000 and one month rent paid in advance.(iii) On 1st April, 2018, society owned furniture ₹ 1,20,000 and books ₹ 50,000.

Answer» From the following Receipts and Payments Account and additional information given below, prepare Income and Expenditure Account and Balance Sheet of Rural Literacy Society as on 31st March, 2019:

RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31 st March, 2019
Dr.				Cr.
Receipts		Amount (₹)	Payments	Amount (₹)
To Balance b/d:			By General Expenses	32,000
Cash in Hand		40,000	By Newspaper	18,500
Cash at Bank		1,55,500	By Electricity	30,000
To Subscriptions:			By Fixed Deposit with Bank	1,80,000
2017-18	12,000		(On 30th September, 2018 10% p.a.)
2018-19	2,65,000		By Books	70,000
2019-20	5,000	2,82,000	By Salary	36,000
To Legacy		12,500	By Rent	65,000
To Government Grant		1,20,000	By Postage Charges	3,000
To Sale of Old Furniture		37,000	By Furniture (purchased)	1,05,000
(Book value ₹ 50,000)			By Balance c/d:
To Interest received on Fixed Deposit		4,500	Cash in Hand	30,000
			Cash at Bank	82,000
		6,51,500		6,51,500

Additional information:

(i) Subscription outstanding as on 31st March, 2018 ₹ 20,000 and on 31st March, 2019 ₹ 15,000.

(ii) On 31st March, 2019, salary outstanding ₹ 6,000 and one month rent paid in advance.

(iii) On 1st April, 2018, society owned furniture ₹ 1,20,000 and books ₹ 50,000.

Discussion

5.	The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of the triangle.
Answer» The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of the triangle.

Discussion

6.	Write ‘True’ or ‘False’ and justify your answerA solid cone of radius r and height h is placed over a solid cylinder having same base radius and height as that of a cone. The total surface area of the combined solid is πr√r2+h2+3r+2h
Answer» Write ‘True’ or ‘False’ and justify your answer A solid cone of radius r and height h is placed over a solid cylinder having same base radius and height as that of a cone. The total surface area of the combined solid is $π r \sqrt{r^{2} + h^{2}} + 3 r + 2 h$

Discussion

7.	On simplification of x − [ x − ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯y + x − {x − (x − ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯y − x)} ], we get,
Answer» On simplification of $x - [x - ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ y + x - {x - (x - ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ y - x)}]$ , we get,

Discussion

8.	Describe some of the criteria involved in selecting a representative sample.
Answer» Describe some of the criteria involved in selecting a representative sample.

Discussion

9.	Find the value of 35+−76+25+−56.
Answer» Find the value of $\frac{3}{5} + \frac{- 7}{6} + \frac{2}{5} + \frac{- 5}{6}$ .

Discussion

10.	A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?
Answer» A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

Discussion

11.	If x=log5(1000) and y=log7(2058) then
Answer» If $x = l o g_{5} (1000)$ and $y = l o g_{7} (2058)$ then

Discussion

12.	Poq is a line ray or is a perpendicular two line OS is another Ray lying between ray. op and or or prove that angle r o s=1\2(qos-pos)
Answer» Poq is a line ray or is a perpendicular two line OS is another Ray lying between ray. op and or or prove that angle r o s=1\2(qos-pos)

Discussion

13.	A cube whose volume is 1/8 cubic centimeter is placed on top of a cube whose volume is 1 cm3. The two cubes are then placed on top of a third cube whose volume is 8 cm3. The height of the stacked cubes is(a) 3.5 cm(b) 3 cm(c) 7 cm(d) none of these
Answer» A cube whose volume is 1/8 cubic centimeter is placed on top of a cube whose volume is 1 cm³. The two cubes are then placed on top of a third cube whose volume is 8 cm³. The height of the stacked cubes is (a) 3.5 cm (b) 3 cm (c) 7 cm (d) none of these

Discussion

14.	If the sides of ΔABC are 5 cm, 8 cm, 9 cm, then the length of its longest altitude is equal to
Answer» If the sides of $Δ A B C$ are 5 cm, 8 cm, 9 cm, then the length of its longest altitude is equal to

Discussion

15.	If (x-5/3) is the factor of polynomial x2 -613x+ a,then the value of a is
Answer» If (x-5/3) is the factor of polynomial x2 -613x+ a,then the value of a is

Discussion

16.	AB is divided into 3 equal parts at P and Q. If AB = x AQ, then x =
Answer» AB is divided into 3 equal parts at P and Q. If AB = x AQ, then x =

Discussion

17.	Question 88 (vii)Factorise the following expression.4xy2−10x2y+16x2y2+2xy
Answer» Question 88 (vii) Factorise the following expression. $4 x y^{2} - 10 x^{2} y + 16 x^{2} y^{2} + 2 x y$

Discussion

18.	In a cricket match, a batsman hits boundary 20 times out of 50 balls. what is the probability that he hits a boundary?
Answer» In a cricket match, a batsman hits boundary 20 times out of 50 balls. what is the probability that he hits a boundary?

Discussion

19.	Question 2If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that: ar(EFGH)=12ar(ABCD).
Answer» Question 2 If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that: $a r (E F G H) = \frac{1}{2} a r (A B C D)$ .

Discussion

20.	The function f(x)=acosx + btanx + x had extreme values at X=0 and X=π/6, then1) a=-2/3, b=-12) a=2/3,b=-13) a=-2/3, b=14)a=2/3, b=1
Answer» The function f(x)=acosx + btanx + x had extreme values at X=0 and X=π/6, then 1) a=-2/3, b=-1 2) a=2/3,b=-1 3) a=-2/3, b=1 4)a=2/3, b=1

Discussion

21.	Find the distance of a line 4x-y=0 from the pt (4,1) measured along x axis making an angle 135 degree with +ve direction of x axis
Answer» Find the distance of a line 4x-y=0 from the pt (4,1) measured along x axis making an angle 135 degree with +ve direction of x axis

Discussion

22.	In △ABC, if AC > AB, then which of the following options are correct?
Answer» In $△ A B C$ , if AC $>$ AB, then which of the following options are correct?

Discussion

23.	Find the value of the following : (i) (7)3×213 (ii) (121)3×333(iii) (169)2132 (iv) (2∘+3∘)5225
Answer» Find the value of the following : (i) $\frac{(7)^{3} \times 21}{3}$ (ii) $\frac{(121)^{3} \times 33}{3}$ (iii) $\frac{(169)^{2}}{13^{2}}$ (iv) $\frac{(2^{\circ} + 3^{\circ}) 5^{2}}{25}$

Discussion

24.	In the given figure, O is the centre of the circle and ∠AOC=120∘. Find ∠BDC.
Answer» In the given figure, O is the centre of the circle and $∠ A O C = 120^{\circ}$ . Find $∠ B D C$ .

Discussion

25.	Draw the graph of \| x + y \| + \| x - y \| < 4 .
Answer» Draw the graph of \| x + y \| + \| x - y \| < 4 .

Discussion

26.	Convert 1.5¯¯¯¯¯¯¯¯392 to fractions.
Answer» Convert $1.5 ¯ ¯¯¯¯¯¯ ¯ 392$ to fractions.

Discussion

27.	1. The eccentricity of an ellipse is 1/2, focus is S(0,0) and the major axis and directrix intersect at Z(-1,-1). Find the coordinates of the centre of ellipse.
Answer» 1. The eccentricity of an ellipse is 1/2, focus is S(0,0) and the major axis and directrix intersect at Z(-1,-1). Find the coordinates of the centre of ellipse.

Discussion

28.	the perimeter of a right triangle is 72cm and its area is 216 cm^{2^{}} find the sum of the lengths of its perpendiculars sid
Answer» the perimeter of a right triangle is 72cm and its area is 216 cm^{2^{}} find the sum of the lengths of its perpendiculars sid

Discussion

29.	Question 43 Fill in the blanks to make the statement true. If we multiply ___ ( even / odd )number of negative integers, then the resulting integer is positive.
Answer» Question 43 Fill in the blanks to make the statement true. If we multiply ___ ( even / odd )number of negative integers, then the resulting integer is positive.

29.

Question 43 Fill in the blanks to make the statement true. If we multiply ___ ( even / odd )number of negative integers, then the resulting integer is positive.

Answer»

Question 43

Fill in the blanks to make the statement true.

If we multiply ___ ( even / odd )number of negative integers, then the resulting integer is positive.

Discussion

30.	Question 4 (i) A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: The area of the verandah
Answer» Question 4 (i) A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: The area of the verandah

30.

Question 4 (i) A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: The area of the verandah

Answer»

Question 4 (i)

A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find:
The area of the verandah

Discussion

31.	The sum of the squares of the consecutive odd natural is 2531 then find the smaller one
Answer» The sum of the squares of the consecutive odd natural is 2531 then find the smaller one

Discussion

32.	There are two triangles ABC and XYZ such that ΔABC ΔYXZ. their measurement are given as follows: AB =6 cm, AC = 9 cm, BC = 7 cm. Find out the corresponding measurements of triangle YXZ.
Answer» There are two triangles ABC and XYZ such that ΔABC ΔYXZ. their measurement are given as follows: AB =6 cm, AC = 9 cm, BC = 7 cm. Find out the corresponding measurements of triangle YXZ.

Discussion

33.	Question 1 If one of the zeroes of the quadratic polynomial (k–1)x2+kx+1 is -3, then the value of k is (A)43 (B)−43 (C)23 (D)−23
Answer» Question 1 If one of the zeroes of the quadratic polynomial $(k - 1) x^{2} + k x + 1$ is -3, then the value of k is $(A) \frac{4}{3}$ $(B) \frac{- 4}{3}$ $(C) \frac{2}{3}$ $(D) \frac{- 2}{3}$

Discussion

34.	The class size of a distribution is 25 and the first class-interval is 200-224. There are seven class-intervals.(i) Write the class-intervals.(ii) Write the class-marks of each intervals.
Answer» The class size of a distribution is 25 and the first class-interval is 200-224. There are seven class-intervals. (i) Write the class-intervals. (ii) Write the class-marks of each intervals.

Discussion

35.	If (x − 1) is a factor of x2+4x+a and (x − 2) is a factor of x2+4x+b, then find the value of a + b .-17
Answer» If (x − 1) is a factor of $x^{2} + 4 x + a$ and (x − 2) is a factor of $x^{2} + 4 x + b$ , then find the value of a + b . -17

Discussion

36.	A triangle has the sides a=3cm b=2cm and c=1cm. What is its area?
Answer» A triangle has the sides a=3cm b=2cm and c=1cm. What is its area?

Discussion

37.	The coordinates of the end-points of the latusrectum of the parabola x2 + 8y = 0 are __________.
Answer» The coordinates of the end-points of the latusrectum of the parabola x² + 8y = 0 are __________.

Discussion

38.	If a1 and a2 are the zeros of the quadratic polynomial p(y)=y2−y−2 then find the polynomial whose zeros are 2a1+1 and and 2a2+1.
Answer» If $a_{1}$ and $a_{2}$ are the zeros of the quadratic polynomial $p (y) = y^{2} - y - 2$ then find the polynomial whose zeros are $2 a_{1} + 1$ and and $2 a_{2} + 1$ .

Discussion

39.	If sin θ + cosec θ = 2, then sin2θ + cosec2θ is equal to (a) 1(b) 4(c) 2(d) none of these
Answer» If sin θ + cosec θ = 2, then sin²θ + cosec²θ is equal to (a) 1 (b) 4 (c) 2 (d) none of these

Discussion

40.	In the given figure, DEBC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN = 24 cm. Select the statements that hold true.
Answer» In the given figure, $\frac{D E}{B C}$ , AE = 15 cm, EC = 9 cm, NC = 6 cm and BN = 24 cm. Select the statements that hold true.

40.

In the given figure, DEBC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN = 24 cm. Select the statements that hold true.

Answer»

In the given figure, $\frac{D E}{B C}$ , AE = 15 cm, EC = 9 cm, NC = 6 cm and BN = 24 cm. Select the statements that hold true.

Discussion

41.	The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? ___
Answer» The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? ___

Discussion

42.	In figure, seg PD is a median of PQR. Point T is the mid point of seg PD. Produced QT intersects PR at M. Show that PMPR=13. [Hint : Draw DN \|\| QM.]
Answer» In figure, seg PD is a median of PQR. Point T is the mid point of seg PD. Produced QT intersects PR at M. Show that $\frac{P M}{P R} = \frac{1}{3} .$ [Hint : Draw DN \|\| QM.]

Discussion

43.	A line that intersects two lines at distinct points is called as ___.
Answer» A line that intersects two lines at distinct points is called as ___.

Discussion

44.	Match the two columns. Column−IColumn−II(A) Data which is collected for the first time by the statistical(p) Secondary datainvestigor or with the help of his workers is called(B) These are the data already collected by a person or a(q) Variablesociety and these may be in published form.These data should be carefully used.(C) When the data is complied in the same form and order in(r) Primary Datawhich it is collected, it is known as(D) A quantity which can vary from one individual to another is(s) Raw Datacalled Choose the correct option:
Answer» Match the two columns. $\begin{matrix} C o l u m n - I & C o l u m n - I I (A) D a t a w h i c h i s c o l l e c t e d f o r t h e f i r s t t i m e b y t h e s t a t i s t i c a l & (p) S e c o n d a r y d a t a i n v e s t i g o r o r w i t h t h e h e l p o f h i s w o r k e r s i s c a l l e d (B) T h e s e a r e t h e d a t a a l r e a d y c o l l e c t e d b y a p e r s o n o r a & (q) V a r i a b l e s o c i e t y a n d t h e s e m a y b e i n p u b l i s h e d f o r m . T h e s e d a t a s h o u l d b e c a r e f u l l y u s e d . (C) W h e n t h e d a t a i s c o m p l i e d i n t h e s a m e f o r m a n d o r d e r i n & (r) P r i m a r y D a t a w h i c h i t i s c o l l e c t e d, i t i s k n o w n a s (D) A q u a n t i t y w h i c h c a n v a r y f r o m o n e i n d i v i d u a l t o a n o t h e r i s & (s) R a w D a t a c a l l e d \end{matrix}$ Choose the correct option:

Discussion

45.	Express 21570/6250 in the decimal form
Answer» Express 21570/6250 in the decimal form

Discussion

46.	All angles of a triangle can be __________ angles.
Answer» All angles of a triangle can be __________ angles.

Discussion

47.	differentiate x†an x/secx+†an x with respect to x
Answer» differentiate x†an x/secx+†an x with respect to x

Discussion

48.	If the four vertices of a rhombus taken in order are (0, 0), (a, –3), (7, b) and (3, 4), then (b, a) is equal to
Answer» If the four vertices of a rhombus taken in order are (0, 0), (a, –3), (7, b) and (3, 4), then (b, a) is equal to

Discussion

49.	A theatre in a town is built in the form of a kite. It's perimeter is 100 m. If one of the sides measure 20 m. Find the other three sides.
Answer» A theatre in a town is built in the form of a kite. It's perimeter is 100 m. If one of the sides measure 20 m. Find the other three sides.

Discussion

50.	How many pairs of adjacent angle are formed when two lines intersect in a point?
Answer» How many pairs of adjacent angle are formed when two lines intersect in a point?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

13. the area of right triangle whose hypotenuse and one of the two remaining sides are of length 13m and 5m respectively

Question 14The perpendicular from A on side BC of a ΔABC intersects BC at D such that DB = 3CD .Prove that 2AB2=2AC2+BC2.

PART is an isoceles trapezium. Find the value of y. 9

The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of the triangle.

Write ‘True’ or ‘False’ and justify your answerA solid cone of radius r and height h is placed over a solid cylinder having same base radius and height as that of a cone. The total surface area of the combined solid is πr√r2+h2+3r+2h

On simplification of x − [ x − ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯y + x − {x − (x − ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯y − x)} ], we get,

Describe some of the criteria involved in selecting a representative sample.

Find the value of 35+−76+25+−56.

A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

If x=log5(1000) and y=log7(2058) then

Poq is a line ray or is a perpendicular two line OS is another Ray lying between ray. op and or or prove that angle r o s=1\2(qos-pos)

A cube whose volume is 1/8 cubic centimeter is placed on top of a cube whose volume is 1 cm3. The two cubes are then placed on top of a third cube whose volume is 8 cm3. The height of the stacked cubes is(a) 3.5 cm(b) 3 cm(c) 7 cm(d) none of these

If the sides of ΔABC are 5 cm, 8 cm, 9 cm, then the length of its longest altitude is equal to

If (x-5/3) is the factor of polynomial x2 -613x+ a,then the value of a is

AB is divided into 3 equal parts at P and Q. If AB = x AQ, then x =

Question 88 (vii)Factorise the following expression.4xy2−10x2y+16x2y2+2xy

In a cricket match, a batsman hits boundary 20 times out of 50 balls. what is the probability that he hits a boundary?

Question 2If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that: ar(EFGH)=12ar(ABCD).

The function f(x)=acosx + btanx + x had extreme values at X=0 and X=π/6, then1) a=-2/3, b=-12) a=2/3,b=-13) a=-2/3, b=14)a=2/3, b=1

Find the distance of a line 4x-y=0 from the pt (4,1) measured along x axis making an angle 135 degree with +ve direction of x axis

In △ABC, if AC &gt; AB, then which of the following options are correct?

Find the value of the following : (i) (7)3×213 (ii) (121)3×333(iii) (169)2132 (iv) (2∘+3∘)5225

In the given figure, O is the centre of the circle and ∠AOC=120∘. Find ∠BDC.

Draw the graph of | x + y | + | x - y | < 4 .

Convert 1.5¯¯¯¯¯¯¯¯392 to fractions.

1. The eccentricity of an ellipse is 1/2, focus is S(0,0) and the major axis and directrix intersect at Z(-1,-1). Find the coordinates of the centre of ellipse.

the perimeter of a right triangle is 72cm and its area is 216 cm^{2^{}} find the sum of the lengths of its perpendiculars sid

Question 43 Fill in the blanks to make the statement true. If we multiply ___ ( even / odd )number of negative integers, then the resulting integer is positive.

Question 4 (i) A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: The area of the verandah

The sum of the squares of the consecutive odd natural is 2531 then find the smaller one

There are two triangles ABC and XYZ such that ΔABC ΔYXZ. their measurement are given as follows: AB =6 cm, AC = 9 cm, BC = 7 cm. Find out the corresponding measurements of triangle YXZ.

Question 1 If one of the zeroes of the quadratic polynomial (k–1)x2+kx+1 is -3, then the value of k is (A)43 (B)−43 (C)23 (D)−23

The class size of a distribution is 25 and the first class-interval is 200-224. There are seven class-intervals.(i) Write the class-intervals.(ii) Write the class-marks of each intervals.

If (x − 1) is a factor of x2+4x+a and (x − 2) is a factor of x2+4x+b, then find the value of a + b .-17

A triangle has the sides a=3cm b=2cm and c=1cm. What is its area?

The coordinates of the end-points of the latusrectum of the parabola x2 + 8y = 0 are __________.

If a1 and a2 are the zeros of the quadratic polynomial p(y)=y2−y−2 then find the polynomial whose zeros are 2a1+1 and and 2a2+1.

If sin θ + cosec θ = 2, then sin2θ + cosec2θ is equal to (a) 1(b) 4(c) 2(d) none of these

In the given figure, DEBC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN = 24 cm. Select the statements that hold true.

The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? ___

In figure, seg PD is a median of PQR. Point T is the mid point of seg PD. Produced QT intersects PR at M. Show that PMPR=13. [Hint : Draw DN || QM.]

A line that intersects two lines at distinct points is called as ___.

Express 21570/6250 in the decimal form

All angles of a triangle can be __________ angles.

differentiate x†an x/secx+†an x with respect to x

If the four vertices of a rhombus taken in order are (0, 0), (a, –3), (7, b) and (3, 4), then (b, a) is equal to

A theatre in a town is built in the form of a kite. It's perimeter is 100 m. If one of the sides measure 20 m. Find the other three sides.

How many pairs of adjacent angle are formed when two lines intersect in a point?

In △ABC, if AC > AB, then which of the following options are correct?