81279 + Interview Questions in Mathematics QA in Mathematics

1.	0 22) In the figure, LABc-69 and LACB-31. Find69
Answer»

Discussion

2.	Find the ratio of the following.a. 24 to 96b. 12 to 48c. 10 to 30d. 69 to 23e. 1/2 to 1/3f. 2 1/3 to 9g. 3 1/2 to 6 1/4 to 1
Answer»

Discussion

3.	Q4Find zeroes of x2-x-6
Answer» x^2 - x - 6 = 0x^2 - 3x + 2x - 6 = 0x(x - 3) + 2(x - 3) = 0(x + 2)(x - 3) = 0x = - 2, 3 Zeros of given equation are - 2, 3

3.

Q4Find zeroes of x2-x-6

Answer»

x^2 - x - 6 = 0x^2 - 3x + 2x - 6 = 0x(x - 3) + 2(x - 3) = 0(x + 2)(x - 3) = 0x = - 2, 3

Zeros of given equation are - 2, 3

Discussion

4.	Q.22) In the figure, cABC = 69" and LACB = 310, Find <BDC.206931
Answer»

Discussion

5.	Differenciate of cos root x
Answer»

Discussion

6.	(c) CP- 720 , SP=<0403. Arpit sold a watch at a gain of 5% to Monit and Monit sold it to Rohit at a gain of 4%. If Rohitチ6 00 nor ka and 35 kgof rice at the rate of 7.00 perpaid91 for it, then find the cost price of Arpit's watch.
Answer»

Discussion

7.	Rohitpurchased a pair of shoes for 882 inclustve of VAT. If the original cost be t840, findthe rate of VAT
Answer»

Discussion

8.	4 Rohit purchased a table for 3260 and due to some scratches on its top he had to sell it for R 2290. Find hisloss per cent.O
Answer» Cost price = Rs 3260selling price = Rs 2290Loss = Rs 3260-2290 = Rs 970Loss per cent = 970÷3260*100 per cent

Discussion

9.	cos theta - root 3 sine theta = 1
Answer» hit like if you find it useful

Discussion

10.	hadtosellitfortRohit purchased a table for r 3260 and due to some scratches on its top heloss per cent2290. Find bisd scootrr for 3,909 and spent 4500 on its overhauling. Then, he sold it to his
Answer» CP = 3260 SP = 2290 LOSS PERCENTAGE = (3260-2290)100/3260 = 970100/3260 = 29.75%

Discussion

11.	In triangle abc right angled at B if tan a is equal to one by root 3 find the value of Sin A cos C + cos a sin c
Answer»

Discussion

12.	ULIQ4.What is the ratio of area of parallelogram to the area of thangebase and between same parallels?much is its
Answer» According to theorem, 1/2 area of \|\|gm = area of ∆ So, Ar of ∆ : Ar of \|\|gm = 1 : 2

12.

ULIQ4.What is the ratio of area of parallelogram to the area of thangebase and between same parallels?much is its

Answer»

According to theorem,

1/2 area of ||gm = area of ∆

So,

Ar of ∆ : Ar of ||gm = 1 : 2

Discussion

13.	The locus of the orthocenter of the triangle formed bythe lines (+p)x-py+ pt)-0 and y 0, where p q, is.l+p)-0, (1q)x-gyg(l
Answer» let the orthocentre be H(h,k)after plotting the line, points on x and y axis are: -q(q +1)/2(p+1),0 and 0,q+1 respectively. Hence the bisector eqn. for sides x = 0 and y = 0 are -----------> x = -q(q +1)/2(p + 1) and y = (q +1)/2 there fore pints of intesection is h,k that is x,yequating and dividing them we get, h/k = -q/(p+1)ory = (-(p+1)/q)x or y = mxwhich is a straight line.

13.

The locus of the orthocenter of the triangle formed bythe lines (+p)x-py+ pt)-0 and y 0, where p q, is.l+p)-0, (1q)x-gyg(l

Answer»

let the orthocentre be H(h,k)after plotting the line, points on x and y axis are:

-q(q +1)/2(p+1),0 and 0,q+1 respectively.

Hence the bisector eqn. for sides x = 0 and y = 0 are ----------->

x = -q(q +1)/2(p + 1) and y = (q +1)/2

there fore pints of intesection is h,k that is x,yequating and dividing them we get,

h/k = -q/(p+1)ory = (-(p+1)/q)x

or y = mxwhich is a straight line.

Discussion

14.	Sr. No.Radius () Diameter (d) Circumference (c)7 cm28 cm616 cm72.6 cm(iv)
Answer» i) 7 14 22/714=44ii)14 28 22/728=88iii)98 196 22/7196=616iv)11.55 23.1 22/723.1=72.6

Discussion

15.	Point of circle=15cm Radius of circle=9cmthen length of tangent=?
Answer» thank you bro

Discussion

16.	Find the length of tangent from a point 15cm away from the centre of acircle with radius 9cm.
Answer»

Discussion

17.	6Rohit purchased a notebook for 23.75, a pencil for 2.85 and a pen for 15.90. He gave a50-rupee note to the shopkeeper. What amount did he get back?
Answer» Notebook = rs 23.75Pencil = rs 2.85Pen = rs 15.90Total amount = rs 23.75 +2.85 +15.90 =42.5 rsHe gave rs 50So amount to be returned = rs 50 -42.5 = rs 7.5

Discussion

18.	4. One day a cobbler earned 140He spent ti6 1 on his breakfast and 35 2 od 235 1 on his45and gave t85-to his wife. Find the remaining amount.4
Answer»

Discussion

19.	Differenciate of cos root x by first principle
Answer»

Discussion

20.	13. A circle is inscribed in AABC touching AB, BC and AC at P, Q and R respectively. If AB 10 cm,AR 7 cm, CR 5 cm then the length of BC is (in cm)
Answer»

Discussion

21.	eninchumbex between-4
Answer» LCM of 5 and 2 is 10.(-4/5)=(-8/10), (-1/2)=(-5/10). Rational numbers between these two numbers = -7/10, -6/10, -13/20, -61/100,-62/100,-63/100,-64/100,-66/100,-67/100,68/100. Please hit the like button if this helped you out..

21.

eninchumbex between-4

Answer»

LCM of 5 and 2 is 10.(-4/5)=(-8/10), (-1/2)=(-5/10). Rational numbers between these two numbers = -7/10, -6/10, -13/20, -61/100,-62/100,-63/100,-64/100,-66/100,-67/100,68/100.

Please hit the like button if this helped you out..

Discussion

22.	12IfthreepointsA (h, 0), P (a, b) and B (0, k) lie on a line, show that1.INC
Answer»

Discussion

23.	2A point P i 25 cm away foom the cntre of a cirde and deof tangent drawn from P to the circle ie 24 n, Find the rudothe circleTwo concentric circles are of radi 65 om and 25 cm. Find theof the chond of the larger circle which touches the smaller circle4. In the given figure, a circle inscribedin a triangle AßC, touches the sidesAB, BC and AC at points D. E and JFrespectively. If AB 12cm, BC-8 cmand AC 10 cm. find the lengths of ACBE and CF5 In the given figure, PA and PB are thetangent segments to a circle with centreO·Show that the points A, O, B and P11. En& In the given figure, the chord AB cfthe larger of the two concentric circleswith centre O, touches the smallercircle at C. Prove that AC CB12 IFrom an external point P, tangentsPA and PB are drawn to a circle withcentre O. If CD is the tangent to thecircle at a point E and PA 14 cm, findthe perimeter of APCD. icase areao*8. A circle is inscribed in a AABCtouching AB, BC and AC at P. Q and Rrespectively If AB 10 cm, AR 7 cmand CR 5 cm, find the length of BC
Answer» Please specify question that needs to be answered

Discussion

24.	Sr. No.(i)Radius (r) Diameter (d) Circumferenecm1428 cm616 criv)72.6 c
Answer»

Discussion

25.	( \frac { 56 } { 28 } ) ^ { 0 } \div ( \frac { 2 } { 5 } ) ^ { 3 } \times \frac { 16 } { 25 }
Answer» anything raises to power 0 is 1hence1÷(2/5)^316/25555/22216/255*2=10

Discussion

26.	The area of triangle XYZ iscm.15cm13cm 6cm9cm(A) 40 cm(8) 45 cm2C) 78 cm0190 cr
Answer»

Discussion

27.	( x \div y ) ^ { - 1 } = x ^ { - 1 } \div y ^ { - 1 } , \text { when } x = \frac { 7 } { 11 } , y = \frac { - 22 } { 21 }
Answer»

Discussion

28.	26, The Value ofrounded off to first decimal place is_-
Answer» After rounding off to the first decimal place, the number will be:-0.8 as:- 3/4=0.75=0.8(since the second decimal is equal to 5 + 2 and the preceeding number is an odd number) what number do you get by adding 9 tenths and 1 ten thousandths together to 28 tens?

28.

26, The Value ofrounded off to first decimal place is_-

Answer»

After rounding off to the first decimal place, the number will be:-0.8 as:-

3/4=0.75=0.8(since the second decimal is equal to 5 + 2 and the preceeding number is an odd number)

what number do you get by adding 9 tenths and 1 ten thousandths together to 28 tens?

Discussion

29.	*4. The product of the digits of a two digit number is 18. when 27 is subtracted from the number,then the number formed on reversing the order of the digit. Find the number.
Answer»

Discussion

30.	7) A two digit number is 9 more than 4 times the sum of its digits. If18 is added to the number, the digit interchange their places. Findthe number.
Answer»

Discussion

31.	दि न पर, YT VLR Ly DI SFﬂ o em, 12.0m और 13 तक हैं 113 ला लम्बी पु 0 e शी से ढालेब्ब की लम्बाई ज्ञात करें ।
Answer» hit like if you find it useful

Discussion

32.	Peter throws two different dice together and finds the product of the two numbersobtained. Rina throws a die and squares the number obtained. Who has the betterchance to get the number 25?
Answer» Reena has a better chance to get the number 25 as she squares the number obtained and their is more probability of getting 25 when numbers are squared as: 3square +4square=254square+3square=251square+5square=255square+1square=25hence more probably she will get 25 while as Peter will get 25 as a product only when he has 5 and 5 on both the dice

Discussion

33.	0.0.1,.1-2.2.1 MLN.5.1vided Rs. 107.50 between A, B and C in such a way that A:B = 5:4 and B: C = 3:4The ratio
Answer» divide Rs 107.50 between A, B and C such a way that A:B=5:4 and B:C=3:4 so, here A:B = 5:4 and, B:C = 3:4 In both the ratios A:B and B:C the value of B is different so we have to same it . Take A:B A:B = 5:4 we can write 5:4 as (5×3) : (4×3) 15:12 so, A:B = 15:12 Now , B:C 3:4 we can write 4:3 as (3×4) : (4×4) 12:16 Now , A:B = 15:12 B:C = 12:16 Now, the value of B in both the ratios is same so, A:B:C = 15:12:16 let the part of rs that are given to all are A = 15x B = 12x C = 16x Total money = 107.50 rs 15x + 12x + 16x = 107.50 rs 43x = 107.50 rs x = 107.50/43 x = 2.5 rs So, the money that is distributed in A , B and C are :- A = 15x 15 × 2.5 rs 37.5 rs B = 12x 12 × 2.5 rs 30 rs C = 16x 16 × 2.5 40 rs. plz like my answer and accepted as best Plz accepted as best bottom click and yes to accepted as best solution=Hey here is your answer your question is :- divide Rs 107.50 between A, B and C such a way that A:B=5:4 and B:C=3:4 so, here A:B = 5:4 and, B:C = 3:4 In both the ratios A:B and B:C the value of B is different so we have to same it . Take A:B A:B = 5:4 we can write 5:4 as (5×3) : (4×3) 15:12 so, A:B = 15:12 Now , B:C 3:4 we can write 4:3 as (3×4) : (4×4) 12:16 Now , A:B = 15:12 B:C = 12:16 Now, the value of B in both the ratios is same so, A:B:C = 15:12:16 let the part of rs that are given to all are A = 15x B = 12x C = 16x Total money = 107.50 rs 15x + 12x + 16x = 107.50 rs 43x = 107.50 rs x = 107.50/43 x = 2.5 rs So, the money that is distributed in A , B and C are :- A = 15x 15 × 2.5 rs 37.5 rs B = 12x 12 × 2.5 rs 30 rs C = 16x 16 × 2.5 40 rs. hope this helps you #Plz accepted as best

33.

0.0.1,.1-2.2.1 MLN.5.1vided Rs. 107.50 between A, B and C in such a way that A:B = 5:4 and B: C = 3:4The ratio

Answer»

divide Rs 107.50 between A, B and C such a way that A:B=5:4 and B:C=3:4

so, here A:B = 5:4

and,

B:C = 3:4

In both the ratios A:B and B:C the value of B is different so we have to same it .

Take A:B

A:B = 5:4

we can write 5:4 as

(5×3) : (4×3)

15:12

so, A:B = 15:12

Now , B:C

3:4

we can write 4:3 as

(3×4) : (4×4)

12:16

Now ,

A:B = 15:12

B:C = 12:16

Now, the value of B in both the ratios is same so,

A:B:C = 15:12:16

let the part of rs that are given to all are

A = 15x

B = 12x

C = 16x

Total money = 107.50 rs

15x + 12x + 16x = 107.50 rs

43x = 107.50 rs

x = 107.50/43

x = 2.5 rs

So, the money that is distributed in A , B and C are :-

A = 15x

15 × 2.5 rs

37.5 rs

B = 12x

12 × 2.5 rs

30 rs

C = 16x

16 × 2.5

40 rs.

plz like my answer and accepted as best Plz accepted as best bottom click and yes to accepted as best

solution=Hey here is your answer

your question is :-

divide Rs 107.50 between A, B and C such a way that A:B=5:4 and B:C=3:4

so, here A:B = 5:4

and,

B:C = 3:4

In both the ratios A:B and B:C the value of B is different so we have to same it .

Take A:B

A:B = 5:4

we can write 5:4 as

(5×3) : (4×3)

15:12

so, A:B = 15:12

Now , B:C

3:4

we can write 4:3 as

(3×4) : (4×4)

12:16

Now ,

A:B = 15:12

B:C = 12:16

Now, the value of B in both the ratios is same so,

A:B:C = 15:12:16

let the part of rs that are given to all are

A = 15x

B = 12x

C = 16x

Total money = 107.50 rs

15x + 12x + 16x = 107.50 rs

43x = 107.50 rs

x = 107.50/43

x = 2.5 rs

So, the money that is distributed in A , B and C are :-

A = 15x

15 × 2.5 rs

37.5 rs

B = 12x

12 × 2.5 rs

30 rs

C = 16x

16 × 2.5

40 rs.

hope this helps you

#Plz accepted as best

Discussion

34.	14. Find the value of 'x.120Page 1 of 3
Answer»

Discussion

35.	on 3.Sanat throws two different dice together and find the product of the two numbers obtained. Rinarows a dice and squares the number obtained. Who has the better chance to get the number 25?
Answer» Probability of getting product 25 on two dice=1/36(only 1 case when 5 is on both dice)=(1/36)100=2.78% Probability of of getting a number whose square=25 is 1/6(when we get 5 out of 1,2,3,4,5,6)=(1/6)100=16.67% So, Rina has better chance.

35.

on 3.Sanat throws two different dice together and find the product of the two numbers obtained. Rinarows a dice and squares the number obtained. Who has the better chance to get the number 25?

Answer»

Probability of getting product 25 on two dice=1/36(only 1 case when 5 is on both dice)=(1/36)*100=2.78%

Probability of of getting a number whose square=25 is 1/6(when we get 5 out of 1,2,3,4,5,6)=(1/6)*100=16.67% So, Rina has better chance.

Discussion

36.	4)One angle or nearinc5) The angles in a linear pair are consecutive odd numbers. Howmuch is each?
Answer» Let two consecutive odd numbers are x and (x + 2) For linear pair sum of angles is 180Thus,x + (x + 2) = 1802x = 180 - 22x = 178x = 89 Two Angles are 89 and 91

36.

4)One angle or nearinc5) The angles in a linear pair are consecutive odd numbers. Howmuch is each?

Answer»

Let two consecutive odd numbers are x and (x + 2)

For linear pair sum of angles is 180Thus,x + (x + 2) = 1802x = 180 - 22x = 178x = 89

Two Angles are 89 and 91

Discussion

37.	The measure of one angle of a parallelogram is 80° . what are the measures of the remaining angles
Answer»

Discussion

38.	14 The measure of one of the angles forming a linear pair is less than the otherangle by 100. Find the measures of both the angles.
Answer» suppose both the angles are a and bso a+b=180now a=b+100so b+100+b=180so b=40so a=140so both the angles are 40 & 140 thanks

38.

14 The measure of one of the angles forming a linear pair is less than the otherangle by 100. Find the measures of both the angles.

Answer»

suppose both the angles are a and bso a+b=180now a=b+100so b+100+b=180so b=40so a=140so both the angles are 40 & 140

thanks

Discussion

39.	Which of the following are prime numbers?17, 29, 25, 33, 19, 6
Answer» 17 , 19 , 29 are prime numbers

Discussion

40.	A die, whose faces are marked 1, 2, 3 in red and 4, 5, 6 in green, is tossed. Let A be theevent "number obtained is even" and B be the event "Number obtained is red." Find ifA and B are independent events.
Answer» Probability of even numberP(A) = 3/6 = 1/2 Probability number obtained is red P(B) = 3/6 = 1/2

40.

A die, whose faces are marked 1, 2, 3 in red and 4, 5, 6 in green, is tossed. Let A be theevent "number obtained is even" and B be the event "Number obtained is red." Find ifA and B are independent events.

Answer»

Probability of even numberP(A) = 3/6 = 1/2

Probability number obtained is red P(B) = 3/6 = 1/2

Discussion

41.	1. By what least number should 72 be multiplied so that the obtained number is a square number.
Answer» First find prime factors of 72= 22233 Thus,72 should be multiplied by 2 to be a perfect square If we Multiply 72 by 2 we get 144 which is a perfect square of 12

41.

1. By what least number should 72 be multiplied so that the obtained number is a square number.

Answer»

First find prime factors of 72= 2*2*2*3*3

Thus,72 should be multiplied by 2 to be a perfect square

If we Multiply 72 by 2 we get 144 which is a perfect square of 12

Discussion

42.	The sum of two digit number 18a bamber obtained by seversingthe number exceed the originalnumber by 18. Find the number
Answer»

Discussion

43.	1. On adding 12 to any number, we obtained 43, thenfind the number.
Answer» Let the number be nAccording to the given conditionn + 12 = 43n = 43 - 12 = 31 Number is 31

43.

1. On adding 12 to any number, we obtained 43, thenfind the number.

Answer»

Let the number be nAccording to the given conditionn + 12 = 43n = 43 - 12 = 31

Number is 31

Discussion

44.	Page 1"What she be subt: from 2 to get an
Answer» answer is 5/7 of this question 5/7 is the correct answer of the given question 5/7 is the following question answer 5/7 is the correct answer 5/7 is the correct answer

44.

Page 1"What she be subt: from 2 to get an

Answer»

answer is 5/7 of this question

5/7 is the correct answer of the given question

5/7 is the following question answer

5/7 is the correct answer

Discussion

45.	byfind what should number di vided13 so, we get (-85-2
Answer»

Discussion

46.	Question mnDerS7. Find HCF and LCM of 90 and 144 by method of prime uulAO19. The8Find the values of a and b for which the followingsolutions:pair of linear equations has infinitelyman(a + 1)u-2h-1:5r + (1-2a)v = 30.vol
Answer» 90 = 3 x 3 x 2 x 5. 144 = 2 x 2 x 2 x 2 x 3 x 3 H.C.F( 90, 144) = 2 x 3 x 3 = 18. L.C.M( 90, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 5 = 720. give answer of question 8

46.

Question mnDerS7. Find HCF and LCM of 90 and 144 by method of prime uulAO19. The8Find the values of a and b for which the followingsolutions:pair of linear equations has infinitelyman(a + 1)u-2h-1:5r + (1-2a)v = 30.vol

Answer»

90 = 3 x 3 x 2 x 5.

144 = 2 x 2 x 2 x 2 x 3 x 3

H.C.F( 90, 144) = 2 x 3 x 3 = 18.

L.C.M( 90, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 5 = 720.

give answer of question 8

Discussion

47.	Solve the following equations using determinant method:5. x+y+ z 3·x + 2 y + 3 z-4"x + 4 y + 9 z = 6
Answer»

Discussion

48.	4. Two adjacent angles form a linear pair one angle measure 80"Find the measure ofOther angle.
Answer» Sum of angels in linear pair is 180° , given one angle is 80°Let other be x x + 80 = 180 x = 180 - 80 x = 100

48.

4. Two adjacent angles form a linear pair one angle measure 80"Find the measure ofOther angle.

Answer»

Sum of angels in linear pair is 180° , given one angle is 80°Let other be x

x + 80 = 180

x = 180 - 80

x = 100

Discussion

49.	Solve the following equations using matrix method.2x - 3y + 5z = 11
Answer»

Discussion

50.	. (a) Solve the following equations using Cramer's rulex+2y + 5z = 4,3x + y + 4z = 6and-x+y+z=-1
Answer»

Discussion

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0 22) In the figure, LABc-69 and LACB-31. Find69

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cos theta - root 3 sine theta = 1

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26, The Value ofrounded off to first decimal place is_-

*4. The product of the digits of a two digit number is 18. when 27 is subtracted from the number,then the number formed on reversing the order of the digit. Find the number.

7) A two digit number is 9 more than 4 times the sum of its digits. If18 is added to the number, the digit interchange their places. Findthe number.

दि न पर, YT VLR Ly DI SFﬂ o em, 12.0m और 13 तक हैं 113 ला लम्बी पु 0 e शी से ढालेब्ब की लम्बाई ज्ञात करें ।

Peter throws two different dice together and finds the product of the two numbersobtained. Rina throws a die and squares the number obtained. Who has the betterchance to get the number 25?

0.0.1,.1-2.2.1 MLN.5.1vided Rs. 107.50 between A, B and C in such a way that A:B = 5:4 and B: C = 3:4The ratio

14. Find the value of 'x.120Page 1 of 3

on 3.Sanat throws two different dice together and find the product of the two numbers obtained. Rinarows a dice and squares the number obtained. Who has the better chance to get the number 25?

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A die, whose faces are marked 1, 2, 3 in red and 4, 5, 6 in green, is tossed. Let A be theevent "number obtained is even" and B be the event "Number obtained is red." Find ifA and B are independent events.

1. By what least number should 72 be multiplied so that the obtained number is a square number.

The sum of two digit number 18a bamber obtained by seversingthe number exceed the originalnumber by 18. Find the number

1. On adding 12 to any number, we obtained 43, thenfind the number.

Page 1"What she be subt: from 2 to get an

byfind what should number di vided13 so, we get (-85-2

Question mnDerS7. Find HCF and LCM of 90 and 144 by method of prime uulAO19. The8Find the values of a and b for which the followingsolutions:pair of linear equations has infinitelyman(a + 1)u-2h-1:5r + (1-2a)v = 30.vol

Solve the following equations using determinant method:5. x+y+ z 3·x + 2 y + 3 z-4"x + 4 y + 9 z = 6

4. Two adjacent angles form a linear pair one angle measure 80"Find the measure ofOther angle.

Solve the following equations using matrix method.2x - 3y + 5z = 11

. (a) Solve the following equations using Cramer's rulex+2y + 5z = 4,3x + y + 4z = 6and-x+y+z=-1

Q.22) In the figure, cABC = 69" and LACB = 310, Find <BDC.206931

(c) CP- 720 , SP=<0403. Arpit sold a watch at a gain of 5% to Monit and Monit sold it to Rohit at a gain of 4%. If Rohitチ6 00 nor ka and 35 kgof rice at the rate of 7.00 perpaid91 for it, then find the cost price of Arpit's watch.