81279 + Interview Questions in Mathematics QA in Mathematics

1.	17. Sita has 40 more than 6 times that ofAwhat Gita has. If Sita has 286, howmuch money does Gita have?
Answer» let geeta has x money, Acc. to ques. 6x + 40 = 2866x = 286 - 406x = 246x = 246/6x = 41

1.

17. Sita has 40 more than 6 times that ofAwhat Gita has. If Sita has 286, howmuch money does Gita have?

Answer»

let geeta has x money,

Acc. to ques.

6x + 40 = 2866x = 286 - 406x = 246x = 246/6x = 41

2.	58,Sita deposited Rs. 5,000 at 10% simple interest for 2years. How much more money will Sita have in heraccount at the end of two years, If it is compoundedsemiannually
Answer»

Discussion

3.	1e price in rupees of 1000 apples, when the cost of ascore is paise?Jow nmany houre will it tole totoe tly kmat 4 mn hour?
Answer»

Discussion

4.	Find six ratiogàl numbers between 3 andl 4
Answer»

Discussion

5.	J Radha tells his daughter Sita " Seven years agowas seven times as old as you were then. Alsothree years from now , I shall be three times asold as you will be". If the present age of Radha andSita are randy respectively, represent this situationgraphically.
Answer»

Discussion

6.	Andl
Answer» √2 is 1.414hence a rational number between 1 and √2 is 1.2 is this absolutely correct

6.

Andl

Answer»

√2 is 1.414hence a rational number between 1 and √2 is 1.2

is this absolutely correct

Discussion

7.	8.Find three different irrational numbers between the rational number andl
Answer»

Discussion

8.	Obtain the volume of rectangular boxes with the following length, breadth andlrespectively
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Discussion

9.	70. The angles of a triangle are (x – 40°), (x – 20°) and 2 -10°). Find the value of x and then theangles of the triangle.(C.B.S.E. 2015)
Answer»

Discussion

10.	Which of the following is equal totan 80° × tan 70° × tan 60°x.X tan 10°?(A) 13 (B)/2(C) 1(D) 0
Answer» This question is wrongno Option tan80= cot 10tan 70= cot 20now tan 60= √3now tan and cot will be cancelledand Answer = √3 This question is answered 0

10.

Which of the following is equal totan 80° × tan 70° × tan 60°x.X tan 10°?(A) 13 (B)/2(C) 1(D) 0

Answer»

This question is wrongno Option tan80= cot 10tan 70= cot 20now tan 60= √3now tan and cot will be cancelledand Answer = √3

This question is answered 0

Discussion

11.	If $16^{n} P_{3}=13^{n+1} P_{3},$ find $n$
Answer»

Discussion

12.	^{n} P_{4} :^{n+1} P_{4}=3 : 4
Answer» nPr = n!/(n-r)!HencenP4 : n+1P4 = n!/(n-4)! : (n+1)!/(n-3)! = n!/(n-4)! : (n+1)(n)!/(n-3)(n-4)!Hencen-3/n+1 = 3/44n - 12 = 3n+3 n = 15

Discussion

13.	6.In Figure, AB, CD and EF are three lines concurrent atFund the value of
Answer»

Discussion

14.	2)=22-3реж). 05/8)) ) ))Cls d4)рез) \|
Answer» x^2 - 3 = 0 Using identity(a^2 - b^2) = (a - b)(a + b) (x - root(3))(x + root(3)) = 0 x = root(3), - root(3) Therefore,Zeroes of equation are root(3), - root(3) -1/3 +2/5=2/5+-1-3 represent which of the following property

14.

2)=22-3реж). 05/8)) ) ))Cls d4)рез) |

Answer»

x^2 - 3 = 0

Using identity(a^2 - b^2) = (a - b)(a + b)

(x - root(3))(x + root(3)) = 0

x = root(3), - root(3)

Therefore,Zeroes of equation are root(3), - root(3)

-1/3 +2/5=2/5+-1-3 represent which of the following property

Discussion

15.	AB, CD and EF are three concurrent lines passingthrough the point O such that OF bisects 2BOD.ZBOF 35°, find LBOC and LAOD.
Answer» Tx fr giving soln...

Discussion

16.	10 s0, rays AB and CD erDetermine y whenFig. 10.6010.61, lines AB, CD and EF intersect at O. Find the meavat es ofFig 10817.LDOE and ZBOF4E, CD and EF are three concurrent lines passing through the poist OLAOC LOE5.BOD. I LBOF 35, find ZBOCand LAOD.10.62, lines AB and CD intersect at O. IE LAOC BOE- 40° find LBOE and reflex LCOE.fretlines9. In Fig.LBOD 40a02DKFig. 10.62
Answer» thanks for the answer

Discussion

17.	9. In Fig 10.61, lines AB, CD and EF intersect at U.IDOE and /BOF.10. AB, CD and EF are three concurrent lines passing through the point O such that OFbisects BOD. If ZBOF-35Â°, find BOC and LAOD.tatements are true (T) and which are false (F)?
Answer»

Discussion

18.	If attbytc-o, br-cy4a-0, crtaytb=0 are concurrent lines then 2 be. 2ca .2ab=
Answer» tq

Discussion

19.	If the median of the distribution 10, 12,13, 16, x, 20, 25, 30 is 18, then thevalue of x is
Answer» Given data10, 12, 13, 16, x, 20, 25, 30 Median = 18 As total number of terms are 8 which is even. Hence median for given distribution= 1/2 [n/2 th term + (n/2 + 1)th term] Hence,(16 + x) /2 = 1816 + x = 36x = 36 - 16 = 20 Therefore, value of x = 20

19.

If the median of the distribution 10, 12,13, 16, x, 20, 25, 30 is 18, then thevalue of x is

Answer»

Given data10, 12, 13, 16, x, 20, 25, 30

Median = 18

As total number of terms are 8 which is even. Hence median for given distribution= 1/2 [n/2 th term + (n/2 + 1)th term]

Hence,(16 + x) /2 = 1816 + x = 36x = 36 - 16 = 20

Therefore, value of x = 20

Discussion

20.	(3) 70 x 10
Answer» 700 multiply krne pr

Discussion

21.	4. Find x in the picture below7x-20 5x-103x 18
Answer» angle FBE + angle EBD = 180°(linear pair)7x + 20° + 5x + 10° = 180°12x = 150°x = 12°

Discussion

22.	60 x^{2}-70 x-30
Answer»

Discussion

23.	he Jenath of a Countyardis 20 n-a92.scm andl breadth tocm ind
Answer»

Discussion

24.	The following martk1 wene obldinethudann81,12,90, 86,65(
Answer» Highest mark = 95Lowest mark = 62 Range = Highest mark - Lowest mark = 95-62= 27

24.

The following martk1 wene obldinethudann81,12,90, 86,65(

Answer»

Highest mark = 95Lowest mark = 62

Range = Highest mark - Lowest mark = 95-62= 27

Discussion

25.	X and Y are the mid points of sides AC and AB respectively of ΔABC, QP BC and CYQ and BXP are straightlines. Prove that ar(AABP)ar(AACO)
Answer»

Discussion

26.	apiup was 30 000.4 A dealer sold a motorcycle at a loss of 10%. If he had sold it motorcycle.for 4500 more, hemowould have made a profit of 5%. Find the selling price of the
Answer»

Discussion

27.	ne two CisesA hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost ofin-plating it on the inside at the rate of ? 16 per 100 cm'
Answer»

Discussion

28.	18. Show that the pair of straight lines ara + 2hry+by+298 +2fy+c=0 forma rhombus with the lines ar? +2hry+by = 0, if h (92- ) gf(a - b).
Answer» hope it helps u sorry I don't know please

28.

18. Show that the pair of straight lines ara + 2hry+by+298 +2fy+c=0 forma rhombus with the lines ar? +2hry+by = 0, if h (92- ) gf(a - b).

Answer»

hope it helps u

sorry I don't know please

Discussion

29.	xampisy show that * : R × R → R given by a * b-> a + 2b is not associati
Answer» Thanks a lot

Discussion

30.	22. In the give figure, X and Y are the midpoints ofqAC and AB respectively, QPII BC and CYQand BXP are straight lines. Prove thatar(AABP) = ar(A ACQ).
Answer»

Discussion

31.	LongAnswer Type Questions [4 Marks]10. In the given figure, X and Yare the mid-points of ACand AB respectively, QP II BC and CYQ and BXPare straight lines. Prove thatar(AABP ar(AACO)
Answer» thanks

Discussion

32.	210x92x = 10082.31+4\|-71?1 216 7! 8!
Answer»

Discussion

33.	The values of p for which the power of a point (2, 5) is negative with respect to a circlex^{3}+y^{2}-8 x-12 y+p=0 which neither touches the axes nor cuts them.
Answer»

Discussion

34.	If both x-3 and 3x-1 are factors of px2+5x + r, show that p-r
Answer»

Discussion

35.	(2) Sakshi prepared some jam at home and filled it in bottles. After giving away?the bottles to her friends, she still has 12 for herself. How many bones hasmade in all? If she filled 250g of jam in each bottle, what was the total weigthe jam she made?
Answer» total bottles=19total weight=4750g the right answer is 4750 gm total bottel.19 total weight .4750g Sakshi prepared a bottle of jam and she give to her friend = 7 jams bottle She still have the bottels=12 bottle of jam In each bottle 250g filled in bottle 12+7=1919×= Sakshi prepared a bottle of jam and she gave her friend =7jams bottle She still have the bottels=12bottle of jam In each bottle 250g jam filled in bottle 12+7=1919×250=4750g Ans. The total wieght ofthe jam ahe made 4750g The right answer is 4750 gm total botal=19total weight=4750g. total weight = 4750 g is right total bottles = 19total weight = 4750 gramis the best answer total bottle=19.total weight=4750g Total bottles =19 total weight =4750 correct answer is 4750gm chcgxjfivhxjgibucjvjcjcjvjvjn 4750 is correct answer of this question total bottles=19 total weight=4750g Total bottles =19total weight =4750g is the right answer for this questions... 4750 gm is the correct answer. the correct answer is 4750gm total bottles = 19total weight =4750g 35×12=420+12=432×250=107600gm = 107 kg and 600ymJam was made hi bro mast Khel te hio 12+7=19250*19=4750gtotat bottles=19total weight=4750 total bottle es=19total weight=4750g total bottles=19total weight=4750g answer. the bottle were 19 with weight 4750g

35.

(2) Sakshi prepared some jam at home and filled it in bottles. After giving away?the bottles to her friends, she still has 12 for herself. How many bones hasmade in all? If she filled 250g of jam in each bottle, what was the total weigthe jam she made?

Answer»

total bottles=19total weight=4750g

the right answer is 4750 gm

total bottel.19 total weight .4750g

Sakshi prepared a bottle of jam and she give to her friend = 7 jams bottle

She still have the bottels=12 bottle of jam

In each bottle 250g filled in bottle 12+7=1919×=

Sakshi prepared a bottle of jam and she gave her friend =7jams bottle

She still have the bottels=12bottle of jam

In each bottle 250g jam filled in bottle 12+7=1919×250=4750g

Ans. The total wieght ofthe jam ahe made 4750g

The right answer is 4750 gm

total botal=19total weight=4750g.

total weight = 4750 g is right

total bottles = 19total weight = 4750 gramis the best answer

total bottle=19.total weight=4750g

Total bottles =19 total weight =4750

correct answer is 4750gm

chcgxjfivhxjgibucjvjcjcjvjvjn

4750 is correct answer of this question

total bottles=19 total weight=4750g

Total bottles =19total weight =4750g is the right answer for this questions...

4750 gm is the correct answer.

the correct answer is 4750gm

total bottles = 19total weight =4750g

35×12=420+12=432×250=107600gm = 107 kg and 600ymJam was made

hi bro mast Khel te hio

12+7=19250*19=4750gtotat bottles=19total weight=4750

total bottle es=19total weight=4750g

total bottles=19total weight=4750g answer.

the bottle were 19 with weight 4750g

Discussion

36.	In $\Delta \mathrm{JAM},$ if $3 \angle J=4 \angle \mathrm{A}=6 \angle \mathrm{M},$ find all the angles.
Answer»

Discussion

37.	ORIn figure ABCD In it, AD l l BC, LDAB = 90, AD-10 cm andcm. IfABE is a quadrant of a circle, find the area of the shaded region. [Take Ď = 1is a trapezium of area 24.5 sq, emcia647Section 'D
Answer»

Discussion

38.	2x+3y=12;x-y=1
Answer»

Discussion

39.	33. The area of the shaded region in thegiven figure is ISSC Constable, 20134545°(a) a"(π-1) sq units(b) (T-2) sq units(c) a (x -2) sq units(d) (t-1) sq units34. A street of width 10 m surroundsfrom outside a rectangular gardenwhose measurement is200 m x180 m. The area of thepath (in sq m) isSSC Constable, 2012](a) 8000 (b) 7000 (c) 7500 (d) 8200
Answer» please give me a thanks

Discussion

40.	(C)300%33. The area of the shaded region in thegiven figure is [SSC Constable, 2013145°45°(a) a (T -1) sq units(b) (T -2) sq units(c) a2 (n -2) sq units(d) ( 1 sq units34. A street of width 10 m surroundsfrom outside a rectangular gardenwhose measurement is200 m x180 m. The area of thepath (in sq m) isSSC Constable, 201(a) 8000 (b) 7000 (c) 7500 (d) 8200
Answer» ABC is isosceles where BC=AC and ang.C=90°By Pythagoras theorem, BC=√2a.therefore,area = πa²/2 - 1/2x√2ax√2a= πa²/2 - a²=a²/2(π-2) sq units ANSWER IS . OPTION NO IS 2.. 2 IS THE CORRECT ANSWER

40.

(C)300%33. The area of the shaded region in thegiven figure is [SSC Constable, 2013145°45°(a) a (T -1) sq units(b) (T -2) sq units(c) a2 (n -2) sq units(d) ( 1 sq units34. A street of width 10 m surroundsfrom outside a rectangular gardenwhose measurement is200 m x180 m. The area of thepath (in sq m) isSSC Constable, 201(a) 8000 (b) 7000 (c) 7500 (d) 8200

Answer»

ABC is isosceles where BC=AC and ang.C=90°By Pythagoras theorem, BC=√2a.therefore,area = πa²/2 - 1/2x√2ax√2a= πa²/2 - a²=a²/2(π-2) sq units

ANSWER IS . OPTION NO IS 2.. 2 IS THE CORRECT ANSWER

Discussion

41.	(3) The dimensions of a cuboid in em are 20 x 18 x 10. Its volume is(A) 7200 sq㎝(B) 3600 cm 3(C) 3600 sq cm(D) 1800 cm3
Answer»

Discussion

42.	(3) The dimensions of a cuboid in cm are 20 x 18 x 10. Its volume is...(A) 7200 sq cm (B) 3600 cm^3 (C) 3600 sq cm (D) 1800 cm^3
Answer» Volume of a cuboid is given as = length * bredth * height Therefore 20 * 18* 10 = 3600 cubic units volume=length×breadth×height=20×18×10=3600 cm^3

42.

(3) The dimensions of a cuboid in cm are 20 x 18 x 10. Its volume is...(A) 7200 sq cm (B) 3600 cm^3 (C) 3600 sq cm (D) 1800 cm^3

Answer»

Volume of a cuboid is given as = length * bredth * height

Therefore 20 * 18* 10 = 3600 cubic units

volume=length×breadth×height=20×18×10=3600 cm^3

Discussion

43.	60 x ^ { 2 } - 70 x - 30
Answer» 60x^2-70x-30=60x^2-90x+20x-30=30x(2x-3)+10(2x-3)=(30x+10)(2x-3)=10(3x+1)(2x-3)

Discussion

44.	2.Consider an A.p. a, ay, az ....... such that as+as+ag=11 and a ta = -2, then the value of a +ar+a, is1)-82) 53) 74) 9
Answer» let first term be aand common difference be da/c to que, a+2d+a+4d+a+7d=113a+13d=11anda+3d+a+d=-22a+4d=-2a+2d=-1so, a1+a6+a7=3a+11dputting the value of a=-5&d=2is 7

Discussion

45.	Q 1: Decompose 32760 into prime factors.Q 2: Divide 24x2y2 - 4xy by 2xy.Q 3: a and are zeroes of polynomial 4x2 -2x + k +.7. Find the value ofk.sides has diagonals. If a polygon has 9 diagonals, find the number of sidesof the polygon.Q5: Simplify(1 + tan-6)(1-sin θ)(1 + sin θ)Q 6: IfdABC ~ ΔPOR ar(AABC)-16 cm? and ar(ΔΡ(R)-81 cm, AB-2 cm find PQ.
Answer»

Discussion

46.	The coordinates of A, B, C and D are (6, 3), (-3, 5), (4, -2) and (x, 3x) respectively.ar(ADBC) : ar (AABC) = 1 : 2, find x.
Answer»

Discussion

47.	ABCD is a parallelogram. P is a point on ABsuch that AP:PB-3:2 and Q is a point onCD such that CQ:QD-4:1. If PQ cuts thediagonal AC at R show that AR-7
Answer» thx very much

Discussion

48.	In the given figure, Pis a point on side BC of DABC such that BP: PC 1:2 and Q is a point on AP suchthat PQ': QA-2 : 3. Show that ar ( Î AQC): ar (Î ABC) 2 : S.
Answer»

Discussion

49.	Q.4If both the roots of the quadratic equationx22kx +k2+k-5-0are less than 5, then k lies in the intgl4, 5](-co, 4)(5, 6]
Answer»

Discussion

50.	(a) Prove that theequation2x2 -5xy+3y2-2x +3y 0 representstwo lines and find their point ofintersection.
Answer»

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

17. Sita has 40 more than 6 times that ofAwhat Gita has. If Sita has 286, howmuch money does Gita have?

58,Sita deposited Rs. 5,000 at 10% simple interest for 2years. How much more money will Sita have in heraccount at the end of two years, If it is compoundedsemiannually

1e price in rupees of 1000 apples, when the cost of ascore is paise?Jow nmany houre will it tole totoe tly kmat 4 mn hour?

Find six ratiogàl numbers between 3 andl 4

J Radha tells his daughter Sita " Seven years agowas seven times as old as you were then. Alsothree years from now , I shall be three times asold as you will be". If the present age of Radha andSita are randy respectively, represent this situationgraphically.

Andl

8.Find three different irrational numbers between the rational number andl

Obtain the volume of rectangular boxes with the following length, breadth andlrespectively

70. The angles of a triangle are (x – 40°), (x – 20°) and 2 -10°). Find the value of x and then theangles of the triangle.(C.B.S.E. 2015)

Which of the following is equal totan 80° × tan 70° × tan 60°x.X tan 10°?(A) 13 (B)/2(C) 1(D) 0

If $16^{n} P_{3}=13^{n+1} P_{3},$ find $n$

^{n} P_{4} :^{n+1} P_{4}=3 : 4

6.In Figure, AB, CD and EF are three lines concurrent atFund the value of

2)=22-3реж). 05/8)) ) ))Cls d4)рез) |

AB, CD and EF are three concurrent lines passingthrough the point O such that OF bisects 2BOD.ZBOF 35°, find LBOC and LAOD.

9. In Fig 10.61, lines AB, CD and EF intersect at U.IDOE and /BOF.10. AB, CD and EF are three concurrent lines passing through the point O such that OFbisects BOD. If ZBOF-35Â°, find BOC and LAOD.tatements are true (T) and which are false (F)?

If attbytc-o, br-cy4a-0, crtaytb=0 are concurrent lines then 2 be. 2ca .2ab=

If the median of the distribution 10, 12,13, 16, x, 20, 25, 30 is 18, then thevalue of x is

(3) 70 x 10

4. Find x in the picture below7x-20 5x-103x 18

60 x^{2}-70 x-30

he Jenath of a Countyardis 20 n-a92.scm andl breadth tocm ind

The following martk1 wene obldinethudann81,12,90, 86,65(

X and Y are the mid points of sides AC and AB respectively of ΔABC, QP BC and CYQ and BXP are straightlines. Prove that ar(AABP)ar(AACO)

apiup was 30 000.4 A dealer sold a motorcycle at a loss of 10%. If he had sold it motorcycle.for 4500 more, hemowould have made a profit of 5%. Find the selling price of the

ne two CisesA hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost ofin-plating it on the inside at the rate of ? 16 per 100 cm'

18. Show that the pair of straight lines ara + 2hry+by+298 +2fy+c=0 forma rhombus with the lines ar? +2hry+by = 0, if h (92- ) gf(a - b).

xampisy show that * : R × R → R given by a * b-&gt; a + 2b is not associati

22. In the give figure, X and Y are the midpoints ofqAC and AB respectively, QPII BC and CYQand BXP are straight lines. Prove thatar(AABP) = ar(A ACQ).

LongAnswer Type Questions [4 Marks]10. In the given figure, X and Yare the mid-points of ACand AB respectively, QP II BC and CYQ and BXPare straight lines. Prove thatar(AABP ar(AACO)

210x92x = 10082.31+4|-71?1 216 7! 8!

The values of p for which the power of a point (2, 5) is negative with respect to a circlex^{3}+y^{2}-8 x-12 y+p=0 which neither touches the axes nor cuts them.

If both x-3 and 3x-1 are factors of px2+5x + r, show that p-r

(2) Sakshi prepared some jam at home and filled it in bottles. After giving away?the bottles to her friends, she still has 12 for herself. How many bones hasmade in all? If she filled 250g of jam in each bottle, what was the total weigthe jam she made?

In $\Delta \mathrm{JAM},$ if $3 \angle J=4 \angle \mathrm{A}=6 \angle \mathrm{M},$ find all the angles.

ORIn figure ABCD In it, AD l l BC, LDAB = 90, AD-10 cm andcm. IfABE is a quadrant of a circle, find the area of the shaded region. [Take Ď = 1is a trapezium of area 24.5 sq, emcia647Section 'D

2x+3y=12;x-y=1

(3) The dimensions of a cuboid in em are 20 x 18 x 10. Its volume is(A) 7200 sq㎝(B) 3600 cm 3(C) 3600 sq cm(D) 1800 cm3

(3) The dimensions of a cuboid in cm are 20 x 18 x 10. Its volume is...(A) 7200 sq cm (B) 3600 cm^3 (C) 3600 sq cm (D) 1800 cm^3

60 x ^ { 2 } - 70 x - 30

2.Consider an A.p. a, ay, az ....... such that as+as+ag=11 and a ta = -2, then the value of a +ar+a, is1)-82) 53) 74) 9

The coordinates of A, B, C and D are (6, 3), (-3, 5), (4, -2) and (x, 3x) respectively.ar(ADBC) : ar (AABC) = 1 : 2, find x.

ABCD is a parallelogram. P is a point on ABsuch that AP:PB-3:2 and Q is a point onCD such that CQ:QD-4:1. If PQ cuts thediagonal AC at R show that AR-7

In the given figure, Pis a point on side BC of DABC such that BP: PC 1:2 and Q is a point on AP suchthat PQ': QA-2 : 3. Show that ar ( Î AQC): ar (Î ABC) 2 : S.

Q.4If both the roots of the quadratic equationx22kx +k2+k-5-0are less than 5, then k lies in the intgl4, 5](-co, 4)(5, 6]

(a) Prove that theequation2x2 -5xy+3y2-2x +3y 0 representstwo lines and find their point ofintersection.

xampisy show that * : R × R → R given by a * b-> a + 2b is not associati

ORIn figure ABCD In it, AD l l BC, LDAB = 90, AD-10 cm andcm. IfABE is a quadrant of a circle, find the area of the shaded region. [Take Ď = 1is a trapezium of area 24.5 sq, emcia647Section 'D

In the given figure, Pis a point on side BC of DABC such that BP: PC 1:2 and Q is a point on AP suchthat PQ': QA-2 : 3. Show that ar ( Î AQC): ar (Î ABC) 2 : S.