81279 + Interview Questions in Mathematics QA in Mathematics

1.	4. The following are the dimensions of aGfew rectangles. Find the area of the tworight triangles that are cut out from therectangles using the formula for the areaof a right triangleA. Length = 11 cm, Breadth = 6crn
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Discussion

2.	Find the area of the rectangles(a) Length=9 cmBreadth=7cm
Answer» area of recatngle is length × breadthso area is 9×7 = 63 cm²

Discussion

3.	13. Solve the following equations(1)ax + by = 1bx + ay = (a+b)?/ (a? +b?) - 1(ii) ax + by = 1bx - ay = a+bito if ite length is reduced hy
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Discussion

4.	27 Ify tan-1 (b), then y~1(a+bx)2a-bx)2(0THx)(d) of these
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5.	A can complete a work in a timedouble than B and triple than C. If three tegether cancomplete the work in 20 days then in how many dayseach can complete the work separately?
Answer» Let A can complete work in 6n daysThen B can complete work 3n daysC can complete work in 2n days A's one day work = 1/6nB's one day work = 1/3nC's one day work = 1/2n (A+B+C)'s one day work = 1/20 Hence,1/6n + 1/3n + 1/2n = 1/20(1 + 2 + 3)/6n = 1/201/n = 1/20n = 20 Therefore,A can complete work in 6n = 620 = 120 daysB can complete work in 3n = 320 = 60 daysC can complete work in 2n = 40 days.

5.

A can complete a work in a timedouble than B and triple than C. If three tegether cancomplete the work in 20 days then in how many dayseach can complete the work separately?

Answer»

Let A can complete work in 6n daysThen B can complete work 3n daysC can complete work in 2n days

A's one day work = 1/6nB's one day work = 1/3nC's one day work = 1/2n

(A+B+C)'s one day work = 1/20

Hence,1/6n + 1/3n + 1/2n = 1/20(1 + 2 + 3)/6n = 1/201/n = 1/20n = 20

Therefore,A can complete work in 6n = 6*20 = 120 daysB can complete work in 3n = 3*20 = 60 daysC can complete work in 2n = 40 days.

Discussion

6.	P&Q together can complete a work in 72/7.while Q&R complete the same wrk in 40/3 days.Q is 25% more efficient than R.In how many days P&R together complete the same work?
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Discussion

7.	IfX+ X =toucheste ellipse x2+y2=\then its eccentric angle θ is equal to-(A) 0(C) 45°(B) 90°(D) 60°
Answer» c. is correct answer for that

Discussion

8.	0.30)The angle of elevation of a cloud from a point 60m above a lake is 300 and the angle ofdepression of its refleetion in the lake is 60°0, find the heigeht of the cloud
Answer» Let AO=HCD=OB=60mA'B=AB=(60+H)m In triangke AOD,tan30'=AO/OD=H/OD H=OD/√3OD=√3 H Now, in triangle A'OD,tan60'=OA'/OD=(OB+BA')/OD√3=(60+60+H)/√3 H =(120+H)/√3 H=>120+H=3H 2H=120 H=60m Thus, height of the cloud above the lake = AB+A'B =(60+60) = 120m

8.

0.30)The angle of elevation of a cloud from a point 60m above a lake is 300 and the angle ofdepression of its refleetion in the lake is 60°0, find the heigeht of the cloud

Answer»

Let AO=HCD=OB=60mA'B=AB=(60+H)m

In triangke AOD,tan30'=AO/OD=H/OD

H=OD/√3OD=√3 H

Now, in triangle A'OD,tan60'=OA'/OD=(OB+BA')/OD√3=(60+60+H)/√3 H =(120+H)/√3 H=>120+H=3H 2H=120 H=60m

Thus, height of the cloud above the lake = AB+A'B =(60+60) = 120m

Discussion

9.	Write -2, 5, 0 and-3 from greatest to least.
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Discussion

10.	7. The distance covered by a particle in time t is givenbyx-a+bt + ct +dt ' find the dimensions of a, b, c and d
Answer» thanks for giving answer

Discussion

11.	In rectangles with length 3 cm more than tbreadth, take the breadth as x and the perimeterp(x). Write the relation between x and p(x).
Answer» Given breadth as x and perimeter be p(x)so length x + 3We know perimeter = 2×(L+B)p(x) = 2×(x+3+x)p(x) = 4x + 6

Discussion

12.	7. The upper part of a tree, broken over by thewind, makes an angle of 45° with the ground;and the distance from the root to the pointwhere the top of the tree touches the ground,is 15 m. What was the height of the treebefore it was broken ?
Answer» sorry but it is wrong.....elevation is 45°

Discussion

13.	a rectangle's length is 6cm more than its breadth. the area is 112 cm².what is its perimeter?
Answer» 112 = l * (l+6) l²+6l-112 = 0 solve to find l. 112=(x+6)x112=x²+6xx²+6x-112=0X²+14x-8x-112=0X=8,-14So x=8,x+6=14Perimeter =2(l+b)=2(22)=44

13.

a rectangle's length is 6cm more than its breadth. the area is 112 cm².what is its perimeter?

Answer»

112 = l * (l+6)

l²+6l-112 = 0

solve to find l.

112=(x+6)x112=x²+6xx²+6x-112=0X²+14x-8x-112=0X=8,-14So x=8,x+6=14Perimeter =2(l+b)=2(22)=44

Discussion

14.	the common properties of a parallelogram, a rectangle, a square and a rhombus.Stateommofanarallelogramus 50 cmIfthe ratio ofthe length to breadth is 3:2, what
Answer» The parallelogram has the following properties: Opposite sides are parallel by definition. Opposite sides are congruent. Opposite angles are congruent. Consecutive angles are supplementary. The diagonals bisect each other. Properties of Parallelograms - property of square Thediagonalsof a square bisect each other and meet at 90° Thediagonalsof a square bisect itsangles. Opposite sides of a square are both parallel and equal inlength. All fouranglesof a square are equal. The rectangle has the following properties: All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other). All angles are right angles by definition. The diagonals are congruent The rhombus has the following properties: All the properties of a parallelogram apply (the ones that matter here are parallel sides, oppositeanglesare congruent, and consecutiveanglesare supplementary). All sides are congruent bydefinition. The diagonals bisect theangles please like the solution 👍 ✔️👍

14.

the common properties of a parallelogram, a rectangle, a square and a rhombus.Stateommofanarallelogramus 50 cmIfthe ratio ofthe length to breadth is 3:2, what

Answer»

The parallelogram has the following properties:

Opposite sides are parallel by definition.

Opposite sides are congruent.

Opposite angles are congruent.

Consecutive angles are supplementary.

The diagonals bisect each other.

Properties of Parallelograms -

property of square

Thediagonalsof a square bisect each other and meet at 90° Thediagonalsof a square bisect itsangles. Opposite sides of a square are both parallel and equal inlength. All fouranglesof a square are equal.

The rectangle has the following properties:

All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).

All angles are right angles by definition.

The diagonals are congruent

The rhombus has the following properties: All the properties of a parallelogram apply (the ones that matter here are parallel sides, oppositeanglesare congruent, and consecutiveanglesare supplementary). All sides are congruent bydefinition. The diagonals bisect theangles

please like the solution 👍 ✔️👍

Discussion

15.	Solve: ax + by = a-bbx-ay = a + b1,
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Discussion

16.	Integration dx/√(1-e^2x) का मान ज्ञात कीजिए \| dx1. \| हर
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Discussion

17.	In the figure,lis the line of smmetryComplete the diagram to make it symnctric
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Discussion

18.	1. Evaluate:02. Evaluate:a) V92613 Bewhat least
Answer» 4/7 ×4/7×4/7 ap aise bhi Bana sakte ho aur isko date 4/7 ko multiply lar do dono tarika Sahi Hain apko Jo aasan lagega wahi banao ek bar check Kar lo answer Sahi Hain ya galat hf dd;$%÷&_€÷/=€6£/^×*€?$%_)^&5

18.

1. Evaluate:02. Evaluate:a) V92613 Bewhat least

Answer»

4/7 ×4/7×4/7 ap aise bhi Bana sakte ho aur isko date 4/7 ko multiply lar do dono tarika Sahi Hain apko Jo aasan lagega wahi banao

ek bar check Kar lo answer Sahi Hain ya galat

hf dd;$%÷&_€÷/=€6£/^×*€?$%_)^&5

Discussion

19.	6. If a- cs + i sin e, then find the value of + a
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Discussion

20.	Expand and find the answer and expresseach solution in exponential formA. 24 x 36
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21.	In the given diagram, the value of x is5.60Â°DAX80%;
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22.	© Dax?t (azteta
Answer» 0 is the correct answer

Discussion

23.	yThct n le is 130cm. Ifthe breadth ofthe rectanglese perimeter of a re930 cm, find its length. Also find the area of the rectangle.
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24.	Solve Ax 3e A 3
Answer» 4x= 9+5/34x= 27+5/34x= 32/3x= 32/12x= 8/3 = LCM = 3 = 4 x = 9 + 5 / 3 = 4 x = (27 + 5 ) / 3 = x = 32 / 12 = 2.66.

24.

Solve Ax 3e A 3

Answer»

4x= 9+5/34x= 27+5/34x= 32/3x= 32/12x= 8/3

= LCM = 3

= 4 x = 9 + 5 / 3

= 4 x = (27 + 5 ) / 3

= x = 32 / 12 = 2.66.

Discussion

25.	0.29. Find dy/dx, whensinxX-SX-62x+1(iv) 2.000
Answer» ii) is the correct answer

Discussion

26.	Ifx--lis a factor ofax4 +bX3 + cx2 + dx + e then show that a + c + e = b + d = 0
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27.	\| = चरपृ X e\ 1+ x. ax
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28.	thee three angles of a quadrilateral are 76°, 54 and 108°. Find the measurefourth angle.ofCs 0l a quaar4. TheE 、7 . a Find the measure of each of
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Discussion

29.	T SRRP AL of and ‘,6 ass रद्द जद क्र ८.8 ८ &W' Cs) =ﬁeaﬁ(" los 4 दर4e ही) SNg
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Discussion

30.	so3.Evaluate:Нема(iv)(ili)(0.008)(0.04)0(ii)(0.03125) 5(6.25)Evaluate:
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Discussion

31.	If 2 +3(a)317 and 27.3(d)-191475. then what is the value of x?(b)2(d)0fe)1
Answer» c) is the right answer of the following c) is the right answer of the following c) is tha right answer fo the following option B ) 2 is the correct answer A)is right good answer

31.

If 2 +3(a)317 and 27.3(d)-191475. then what is the value of x?(b)2(d)0fe)1

Answer»

c) is the right answer of the following

c) is tha right answer fo the following

option B ) 2 is the correct answer

A)is right good answer

Discussion

32.	On a plane at some distance from its base, a mountain is found to have anelevation of 60Â°. At a station lying 900v3 further away from themountain, the angle is reduced to 30Â°. Find the height of the mountain(Ans. 1350 m)7.
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Discussion

33.	IVdxe + e
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34.	On a plane at some distance from its base, a mountain is found to have anelevation of 60°. At a station lying 900√3 further away, from themountain, the angle is reduced to 30°. Find the height of the mountain
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Discussion

35.	What is the length of a train whichcrosses a bridge of 150 m in 20 secwith a speed of 40 km/h?
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Discussion

36.	ना0 022¥- C
Answer» can't understand the question

Discussion

37.	022)Find the difference : -
Answer» 2/7 is correct answer 2/74/6 is the answer of the following 4/6 is the correct answer 4/6 is the right answer 3.5 is a correct answer 2/74/6 is your answer 2/74/6 is the correct answer 2by72by6 is your right answer 2/7 , 4/6 is correct answer please like

37.

022)Find the difference : -

Answer»

2/7 is correct answer

2/74/6 is the answer of the following

4/6 is the correct answer

4/6 is the right answer

3.5 is a correct answer

2/74/6 is your answer

2/74/6 is the correct answer

2by72by6 is your right answer

2/7 , 4/6 is correct answer please like

Discussion

38.	13where n eQ2. Evaluate: ÎŁ (i" +in+1),
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Discussion

39.	1. Evaluate: (ax e dax
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Discussion

40.	(1) Write any two solutions of the equation: x +y
Answer» Any two solutions can be:- (2,3)(1,4)

40.

(1) Write any two solutions of the equation: x +y

Answer»

Any two solutions can be:-

(2,3)(1,4)

Discussion

41.	Evaluate: fe"(1+x))cos (e x
Answer» good

Discussion

42.	3nt -cs e ct*3 Evaluate:dx
Answer» abhajya gunankhand ki prakriya se 96 or 404 Ka Mausam nikale shrinkhala Se nikale

Discussion

43.	Evaluate \int_{0}^{1} x e^{x} d x
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44.	Evaluate3(x2 +3x +e*) dx,as the limit of the sum
Answer» is this answer correct

Discussion

45.	A train travelling at a speed of 36km/h on the mountains crosses a pole in 30seconds. Find the length of the train.
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Discussion

46.	Evaluate the followin1.\int e^{2 x} d x
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Discussion

47.	22 +32ÂŽ 8 e 8 o
Answer» thanks a lot to u

Discussion

48.	A train travelling at the speed of 66 km/h crosses a 300 m long platform in 24 seconds.How long was the train?
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Discussion

49.	A train travelling at the speed of 90km/h on the mountain crosses a pole in 30 seconds. find the length of the train.
Answer» Speed = 90km/h= 25m/sTime= 30 secLength(d)=?s=d/td=s x td= 30 x 25d= 750 mThus length of train = 750m

Discussion

50.	e 8-4- 4-8
Answer» no they are not equal as LHS is 4 and RHS is -4 and also integers don't follow commutative property under addition

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

4. The following are the dimensions of aGfew rectangles. Find the area of the tworight triangles that are cut out from therectangles using the formula for the areaof a right triangleA. Length = 11 cm, Breadth = 6crn

Find the area of the rectangles(a) Length=9 cmBreadth=7cm

13. Solve the following equations(1)ax + by = 1bx + ay = (a+b)?/ (a? +b?) - 1(ii) ax + by = 1bx - ay = a+bito if ite length is reduced hy

27 Ify tan-1 (b), then y~1(a+bx)2a-bx)2(0THx)(d) of these

A can complete a work in a timedouble than B and triple than C. If three tegether cancomplete the work in 20 days then in how many dayseach can complete the work separately?

P&amp;Q together can complete a work in 72/7.while Q&amp;R complete the same wrk in 40/3 days.Q is 25% more efficient than R.In how many days P&amp;R together complete the same work?

IfX+ X =toucheste ellipse x2+y2=\then its eccentric angle θ is equal to-(A) 0(C) 45°(B) 90°(D) 60°

0.30)The angle of elevation of a cloud from a point 60m above a lake is 300 and the angle ofdepression of its refleetion in the lake is 60°0, find the heigeht of the cloud

Write -2, 5, 0 and-3 from greatest to least.

7. The distance covered by a particle in time t is givenbyx-a+bt + ct +dt ' find the dimensions of a, b, c and d

In rectangles with length 3 cm more than tbreadth, take the breadth as x and the perimeterp(x). Write the relation between x and p(x).

7. The upper part of a tree, broken over by thewind, makes an angle of 45° with the ground;and the distance from the root to the pointwhere the top of the tree touches the ground,is 15 m. What was the height of the treebefore it was broken ?

a rectangle's length is 6cm more than its breadth. the area is 112 cm².what is its perimeter?

the common properties of a parallelogram, a rectangle, a square and a rhombus.Stateommofanarallelogramus 50 cmIfthe ratio ofthe length to breadth is 3:2, what

Solve: ax + by = a-bbx-ay = a + b1,

Integration dx/√(1-e^2x) का मान ज्ञात कीजिए | dx1. | हर

In the figure,lis the line of smmetryComplete the diagram to make it symnctric

1. Evaluate:02. Evaluate:a) V92613 Bewhat least

6. If a- cs + i sin e, then find the value of + a

Expand and find the answer and expresseach solution in exponential formA. 24 x 36

In the given diagram, the value of x is5.60Â°DAX80%;

© Dax?t (azteta

yThct n le is 130cm. Ifthe breadth ofthe rectanglese perimeter of a re930 cm, find its length. Also find the area of the rectangle.

Solve Ax 3e A 3

0.29. Find dy/dx, whensinxX-SX-62x+1(iv) 2.000

Ifx--lis a factor ofax4 +bX3 + cx2 + dx + e then show that a + c + e = b + d = 0

| = चरपृ X e\ 1+ x. ax

thee three angles of a quadrilateral are 76°, 54 and 108°. Find the measurefourth angle.ofCs 0l a quaar4. TheE 、7 . a Find the measure of each of

T SRRP AL of and ‘,6 ass रद्द जद क्र ८.8 ८ &amp;W' Cs) =ﬁeaﬁ(" los 4 दर4e ही) SNg

so3.Evaluate:Нема(iv)(ili)(0.008)(0.04)0(ii)(0.03125) 5(6.25)Evaluate:

If 2 +3(a)317 and 27.3(d)-191475. then what is the value of x?(b)2(d)0fe)1

On a plane at some distance from its base, a mountain is found to have anelevation of 60Â°. At a station lying 900v3 further away from themountain, the angle is reduced to 30Â°. Find the height of the mountain(Ans. 1350 m)7.

IVdxe + e

On a plane at some distance from its base, a mountain is found to have anelevation of 60°. At a station lying 900√3 further away, from themountain, the angle is reduced to 30°. Find the height of the mountain

What is the length of a train whichcrosses a bridge of 150 m in 20 secwith a speed of 40 km/h?

ना0 022¥- C

022)Find the difference : -

13where n eQ2. Evaluate: ÎŁ (i" +in+1),

1. Evaluate: (ax e dax

(1) Write any two solutions of the equation: x +y

Evaluate: fe"(1+x))cos (e x

3nt -cs e ct*3 Evaluate:dx

Evaluate \int_{0}^{1} x e^{x} d x

Evaluate3(x2 +3x +e*) dx,as the limit of the sum

A train travelling at a speed of 36km/h on the mountains crosses a pole in 30seconds. Find the length of the train.

Evaluate the followin1.\int e^{2 x} d x

22 +32ÂŽ 8 e 8 o

A train travelling at the speed of 66 km/h crosses a 300 m long platform in 24 seconds.How long was the train?

A train travelling at the speed of 90km/h on the mountain crosses a pole in 30 seconds. find the length of the train.

e 8-4- 4-8

P&Q together can complete a work in 72/7.while Q&R complete the same wrk in 40/3 days.Q is 25% more efficient than R.In how many days P&R together complete the same work?

T SRRP AL of and ‘,6 ass रद्द जद क्र ८.8 ८ &W' Cs) =ﬁeaﬁ(" los 4 दर4e ही) SNg