81279 + Interview Questions in Mathematics QA in Mathematics

1.	6. By what number 7 be divided to get 4?3
Answer» Let the no be x 23/3 divided by x = 13/323/3 /x = 13/323/x = 13x = 23/13

1.

6. By what number 7 be divided to get 4?3

Answer»

Let the no be x

23/3 divided by x = 13/323/3 /x = 13/323/x = 13x = 23/13

2.	If p+.yl, qx+Ly" and rxlmy oe thatm-.qn-r-m1
Answer»

Discussion

3.	150 workers were engaged to finish a piece of work in a certain number of days. Four Workers dropped the second day, four more dropped the third day and so on. If it takes 8 more days to finish the work now, then find the number of days in which work will be completed.
Answer»

Discussion

4.	ind the value usi
Answer» We know a³ + b³ = ( a + b) ( a² + b² - ab) 11³ + 9³ = ( 11 + 9) ( 11² + 9² - 99) = 20 × ( 121 + 81 - 99) = 2060

4.

ind the value usi

Answer»

We know

a³ + b³ = ( a + b) ( a² + b² - ab)

11³ + 9³ = ( 11 + 9) ( 11² + 9² - 99)

= 20 × ( 121 + 81 - 99)

= 2060

Discussion

5.	SECTIONDProve that: a+bte-Sabe (a+b+ca-b+-ab-be-ca
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Discussion

6.	osdedperday.9. The mean of x1, x2 is 6 and x1, x2, x3 is 7 . Find the value of x3,小CBSE
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Discussion

7.	-02यदि 22-y = 4k-y-3 =1 तो (x,y) है
Answer» (1,-1/2) is the value of (X,y) in this given question 2^2x+y=1=2^02x+y=0------(1)4^x-y-3=1=4^0x-y-3=0x-y=3-----(2)2x+y=0by adding 3x=3x= 3/3=1putting the value of x in eq12x+y=02×1+y=0y= -2(x,y)=(1,-2) the value of x= 1and the value of Y= -1/2 this is the right answer please like my answer

7.

-02यदि 22-y = 4k-y-3 =1 तो (x,y) है

Answer»

(1,-1/2) is the value of (X,y) in this given question

2^2x+y=1=2^02x+y=0------(1)4^x-y-3=1=4^0x-y-3=0x-y=3-----(2)2x+y=0by adding 3x=3x= 3/3=1putting the value of x in eq12x+y=02×1+y=0y= -2(x,y)=(1,-2)

the value of x= 1and the value of Y= -1/2 this is the right answer please like my answer

Discussion

8.	trianglef two adjacent vertices of a parallelogram are (3, 2) and (-1, 0) and thediagonals intersect at (2, -5) then find the coordinates of the other two39.verticesCBSE 2017
Answer»

Discussion

9.	Let f(x) = x2 and g(x) = 2x + 1 be two realfunctions. Find4NCERT]0) f+g (i)fg(ii) f g (iv)
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Discussion

10.	atto in the Matio 5g the foutnd tho total amountjjăŚ25
Answer» SoFirst part means 5 part= 2501 part= 50total parts= 5+8= 13so total = 50*13= 650

Discussion

11.	Classroom Study Package 1819MA-PARA-188.Find the common tangents of the circle x2 +y? 2a2 and the parabola y? - 8ax.i Aax at (x1, X1) subtends a right angle at the
Answer»

Discussion

12.	11. By what number should 5g be multiplied to get 36Mathematics 7
Answer» Suppose multiplier is x x * 5 5/6 = 3 1/3 x * 35/6 = 10/3 x = (10×6)/(3×35) = (2×2)/7 = 4/7 If you find this answer helpful then like it.

12.

11. By what number should 5g be multiplied to get 36Mathematics 7

Answer»

Suppose multiplier is x x * 5 5/6 = 3 1/3 x * 35/6 = 10/3 x = (10×6)/(3×35) = (2×2)/7 = 4/7

If you find this answer helpful then like it.

Discussion

13.	8. If x +y -25 and xy-12, then the value of x1+ yl is
Answer» (X+y)^2=x^2+y^2+2xy=25+2(12)=49hencex+y=7x+y=-7now x^-1+y^-1=1/X+1/y=X+y/XYif X+y=7then answer will be 7/12if X+y=-7answer will be -7/12

Discussion

14.	If X+ -X1= 4, then what is the value of x +-
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Discussion

15.	2. Show that f(x) = x1/3 is not differentiable at x = 0.
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Discussion

16.	From 51 to 60 = 5553 Write a number 1, 3, 5, 7, 9, 11, 13, 15 or 17 in eachcircle so that the sum of the numbers in each circleon each side of the triangle is exactly 30. Eachnumber can be used only once.
Answer»

Discussion

17.	p(x) = x³-3x² + 9x-27
Answer» p(x) = x³ - 3x² +9x -27x² (x -3) +9(x -3)(x²+9)(x-3)

Discussion

18.	\begin{array}{l}{\text { Using } a^{2}-b^{2}=(a+b)(a-b) \text { find }} \\ {\text { i) } 51^{2}-49}\end{array}
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Discussion

19.	3x-9x
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Discussion

20.	Maximize :z=3x + 5yx+4y 24,x+y 9,Subject to3x + y 21,x20, y 20
Answer» tnx

Discussion

21.	9x% -3x + 24
Answer» 9x²-3x+1/436x²-12x+136x²-6x-6x+16x(6x-1)-1(6x-1)(6x-1)(6x-1)(6x-1)²

Discussion

22.	के. 23° tan 42° tan 67° = \|
Answer» tan 23 = cot (90-23) = cot 67.tan 42 = cot (90-42) = cot 48. tan48 tan23 tan42 tan67 = tan48 cot67 cot48 tan67 = 11 = 1[tanAcotA = 1]

22.

के. 23° tan 42° tan 67° = |

Answer»

tan 23 = cot (90-23) = cot 67.tan 42 = cot (90-42) = cot 48.

tan48 tan23 tan42 tan67 = tan48 cot67 cot48 tan67 = 1*1 = 1[tanA*cotA = 1]

Discussion

23.	i) Lim ______2x—(&) 2 \F—Z +x -2. . J3r2x-(2+D(iv) Lim पा2-3,
Answer»

Discussion

24.	2. Show that:(i) tan 48° tan 23° tan 42° tan 67"-1
Answer» tan48° tan23° tan42° tan67°=tan48° tan23° tan(90°-48°) tan(90°-23°)=tan48° tan23° cot48° cot 23°=(tan48° cot48°)(tan23° cot23°)=1×1=1 hit like if you find it useful

24.

2. Show that:(i) tan 48° tan 23° tan 42° tan 67"-1

Answer»

tan48° tan23° tan42° tan67°=tan48° tan23° tan(90°-48°) tan(90°-23°)=tan48° tan23° cot48° cot 23°=(tan48° cot48°)(tan23° cot23°)=1×1=1

hit like if you find it useful

Discussion

25.	Show thean 48° tan 23° tan 42° tan 67° = 1
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Discussion

26.	2. Show that(i)is holdtan 48° tan 23° tan 42° tan 67° = 1
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Discussion

27.	\tan 48 ^ \circ \tan 23 ^ \circ \tan 42 ^ \circ \tan 67 ^ \circ = 1
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Discussion

28.	.Find the value of the following expressions, whenx1:(i) 2x -7(iv) 2x2-x-2(ii) x22x+ 1
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Discussion

29.	8. Compute the following limits.x22x
Answer» answer is 1/6 thanks broo sorry for that blunder, i wrote one term wrong

29.

8. Compute the following limits.x22x

Answer»

answer is 1/6

thanks broo

sorry for that blunder, i wrote one term wrong

Discussion

30.	(x1) (x1)40-1)Case ill When the denominator has non repeated irreducible factor.- When thAx + Bi. e. ax? + bx + c, there occurs a partial fraction of formbx tWhere A & B are constants.29) Resol e into partara2x 1(x 3) (x2+ 4)
Answer»

Discussion

31.	W p * (1 पे a4 हाहि e 1iNP1 2 तौठ%. 001 फ0000:9-
Answer»

Discussion

32.	12. In the given figure, O is the centre of two comcentriccircles of radii 4 cm and 6 om respectively.PA and PB are tangents to the outer and inner circlerespectively. If PA = 10 cm, find the length of PB upto one place of decimal.
Answer»

Discussion

33.	Show that:tan 48° tan 23 tan 42° tan 67°I
Answer» tan theta= 1/ cot thetatan 48° = 1/cot 48°

Discussion

34.	2x+48=0
Answer» transposing 48 to RHS 2x = -48x= -24

Discussion

35.	tan 48 tan 23 tan 42 tan 67 =1
Answer» =tan 48 * tan 23 * tan (90-48) * tan (90-23)=tan 48* tan 23 * cot 48* cot 23=1. (cotA * tanA =1)

Discussion

36.	(iii)2x+1 + 2x+2 = 48
Answer» 2^x2 + 2^x2² = 48 2^x = 48/(2+4) 2^x = 48/6 2^x = 8 2^x = 2³ x = 3 Like my answer if you find it useful!

36.

(iii)2x+1 + 2x+2 = 48

Answer»

2^x*2 + 2^x*2² = 48

2^x = 48/(2+4)

2^x = 48/6

2^x = 8

2^x = 2³

x = 3

Like my answer if you find it useful!

Discussion

37.	(iii)2x+1+2x+2=48
Answer» 2^(x+1) + 2^(x+2) = 48 2^(x+1) (1+2) = 48 2^(x+1) = 16 = 2^4 x + 1 = 4 x = 3

Discussion

38.	UTS AND DERIVA6. Evaluate:\begin{array}{l}{\lim _{x \rightarrow \frac{\pi}{2}} \frac{e^{\cos x-1}}{\frac{\pi}{2}-x}} \\ {\lim _{x \rightarrow 0} \frac{x\left(e^{2+x}-e^{2}\right)}{1-\cos x}}\end{array}
Answer»

Discussion

39.	tan 48 tan 23 tan 42" tan67"= 1
Answer»

Discussion

40.	x 2e+ elimx → 0sin-x-x
Answer» tx

Discussion

41.	eLimx>0 X
Answer» thnx

Discussion

42.	045 X buys a scooter for 242,000. He spends76,000 on repairs and sells the scooter for54,000. What is his gain?
Answer» Gain= SP- CP/CP= 12000/42000= 12/42= 6/7*10085.7 percentage of gain

Discussion

43.	Find the nP e Lim In
Answer» thanks

Discussion

44.	a. Take a point O on your notebook and draw circles of radii 4 cm, 5.3 cm and 6.2 cm, each having the samcentre O.
Answer» thanks Sir

Discussion

45.	3-12512. Evaluate limx-*#x2-7x + 104
Answer»

Discussion

46.	9. What is the mass of(a)(b)Calculate the number of molecules of sulphur (S) presen0.2 mole of oxygen atoms?0.5 mole of water molecules?10.
Answer» thanks.

Discussion

47.	10, If52x++25125, find the value of x.25125, find the value of x.
Answer»

Discussion

48.	(i) 452 â-4s5s+1
Answer» 4s² - 4s + 1 4s² - 2s -2s + 1 2s(2s - 1) - ( 2s - 1) (2s - 1) ( 2s - 1) (2s-1)²

48.

(i) 452 â-4s5s+1

Answer»

4s² - 4s + 1

4s² - 2s -2s + 1

2s(2s - 1) - ( 2s - 1)

(2s - 1) ( 2s - 1)

(2s-1)²

Discussion

49.	To fill a tank, 30 buckets of water is required. If the capacity of bucket is reduced to two-fifth then how many buckets of water will be required to fl the same tank?
Answer»

Discussion

50.	A tank is full of 300 L of water. How much water willbe filled in 25 tanks? If 15 buckets can be filled withone tank of water, how many buckets in all can befilled with the water in 25 tanks?
Answer»

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

6. By what number 7 be divided to get 4?3

If p+.yl, qx+Ly" and rxlmy oe thatm-.qn-r-m1

150 workers were engaged to finish a piece of work in a certain number of days. Four Workers dropped the second day, four more dropped the third day and so on. If it takes 8 more days to finish the work now, then find the number of days in which work will be completed.

ind the value usi

SECTIONDProve that: a+bte-Sabe (a+b+ca-b+-ab-be-ca

osdedperday.9. The mean of x1, x2 is 6 and x1, x2, x3 is 7 . Find the value of x3,小CBSE

-02यदि 22-y = 4k-y-3 =1 तो (x,y) है

trianglef two adjacent vertices of a parallelogram are (3, 2) and (-1, 0) and thediagonals intersect at (2, -5) then find the coordinates of the other two39.verticesCBSE 2017

Let f(x) = x2 and g(x) = 2x + 1 be two realfunctions. Find4NCERT]0) f+g (i)fg(ii) f g (iv)

atto in the Matio 5g the foutnd tho total amountjjăŚ25

Classroom Study Package 1819MA-PARA-188.Find the common tangents of the circle x2 +y? 2a2 and the parabola y? - 8ax.i Aax at (x1, X1) subtends a right angle at the

11. By what number should 5g be multiplied to get 36Mathematics 7

8. If x +y -25 and xy-12, then the value of x1+ yl is

If X+ -X1= 4, then what is the value of x +-

2. Show that f(x) = x1/3 is not differentiable at x = 0.

From 51 to 60 = 5553 Write a number 1, 3, 5, 7, 9, 11, 13, 15 or 17 in eachcircle so that the sum of the numbers in each circleon each side of the triangle is exactly 30. Eachnumber can be used only once.

p(x) = x³-3x² + 9x-27

\begin{array}{l}{\text { Using } a^{2}-b^{2}=(a+b)(a-b) \text { find }} \\ {\text { i) } 51^{2}-49}\end{array}

3x-9x

Maximize :z=3x + 5yx+4y 24,x+y 9,Subject to3x + y 21,x20, y 20

9x% -3x + 24

के. 23° tan 42° tan 67° = |

i) Lim ______2x—(&amp;) 2 \F—Z +x -2. . J3r2x-(2+D(iv) Lim पा2-3,

2. Show that:(i) tan 48° tan 23° tan 42° tan 67"-1

Show thean 48° tan 23° tan 42° tan 67° = 1

2. Show that(i)is holdtan 48° tan 23° tan 42° tan 67° = 1

\tan 48 ^ \circ \tan 23 ^ \circ \tan 42 ^ \circ \tan 67 ^ \circ = 1

.Find the value of the following expressions, whenx1:(i) 2x -7(iv) 2x2-x-2(ii) x22x+ 1

8. Compute the following limits.x22x

(x1) (x1)40-1)Case ill When the denominator has non repeated irreducible factor.- When thAx + Bi. e. ax? + bx + c, there occurs a partial fraction of formbx tWhere A &amp; B are constants.29) Resol e into partara2x 1(x 3) (x2+ 4)

W p * (1 पे a4 हाहि e 1iNP1 2 तौठ%. 001 फ0000:9-

12. In the given figure, O is the centre of two comcentriccircles of radii 4 cm and 6 om respectively.PA and PB are tangents to the outer and inner circlerespectively. If PA = 10 cm, find the length of PB upto one place of decimal.

Show that:tan 48° tan 23 tan 42° tan 67°I

2x+48=0

tan 48 tan 23 tan 42 tan 67 =1

(iii)2x+1 + 2x+2 = 48

(iii)2x+1+2x+2=48

UTS AND DERIVA6. Evaluate:\begin{array}{l}{\lim _{x \rightarrow \frac{\pi}{2}} \frac{e^{\cos x-1}}{\frac{\pi}{2}-x}} \\ {\lim _{x \rightarrow 0} \frac{x\left(e^{2+x}-e^{2}\right)}{1-\cos x}}\end{array}

tan 48 tan 23 tan 42" tan67"= 1

x 2e+ elimx → 0sin-x-x

eLimx&gt;0 X

045 X buys a scooter for 242,000. He spends76,000 on repairs and sells the scooter for54,000. What is his gain?

Find the nP e Lim In

a. Take a point O on your notebook and draw circles of radii 4 cm, 5.3 cm and 6.2 cm, each having the samcentre O.

3-12512. Evaluate limx-*#x2-7x + 104

9. What is the mass of(a)(b)Calculate the number of molecules of sulphur (S) presen0.2 mole of oxygen atoms?0.5 mole of water molecules?10.

10, If52x++25125, find the value of x.25125, find the value of x.

(i) 452 â-4s5s+1

To fill a tank, 30 buckets of water is required. If the capacity of bucket is reduced to two-fifth then how many buckets of water will be required to fl the same tank?

A tank is full of 300 L of water. How much water willbe filled in 25 tanks? If 15 buckets can be filled withone tank of water, how many buckets in all can befilled with the water in 25 tanks?

atto in the Matio 5g the foutnd tho total amountjjăŚ25

i) Lim ______2x—(&) 2 \F—Z +x -2. . J3r2x-(2+D(iv) Lim पा2-3,

(x1) (x1)40-1)Case ill When the denominator has non repeated irreducible factor.- When thAx + Bi. e. ax? + bx + c, there occurs a partial fraction of formbx tWhere A & B are constants.29) Resol e into partara2x 1(x 3) (x2+ 4)

eLimx>0 X

(i) 452 â-4s5s+1