332354 + Interview Questions in Secondary School in Math

1.	The difference of two numberis 20% of the larger number if the smaller is 12 the larger one is
Answer» LET LARGER no be X x - 12 = 20/100 . x - 12 = 20/100 . x - x -12 = -80 / 100 . x 1200/80 = x x = 15

Discussion

2.	In a triangle PQR,if angle Q is op,PS=PR,PQ=PR=12 cm,find the area of the triangle.
Answer» I THINK UR QUESTION is WRONG

Discussion

3.	a man walked 10km,then travels a certain distance by the train and then by bus as far as twice by the train.if the whole journey is of 70 km how far did je travel by train
Answer» The MAN travell 15 KM by TRAIN .

Discussion

4.	Boy is standing 30 m east of a lampost what is the reference point in the above case
Answer» HEY, hi Here is UR answer Reference POINT is LAMPOST

Discussion

5.	Population was 6809000 in 2011 increase rate 4.7 %what is population end of 2015
Answer» The POPULATION of WORLD is 2.5 BILLION

Discussion

6.	a man bought apples at 10 for 25 rupees and sold them at 25 rupees per dozen find his gain or loss percent
Answer» Loss-20% HOPE this HELP U

Discussion

7.	A and B can finish a piece of work in 24 days and 16 days respectively. If A , B and C together can finish it in 8 days then C can finish the work in how many days ?
Answer» A can finish a work in 24 days A in 1 day does: 1/24 work B can finish a work in 16 days B in 1 day does: 1/24 work Let C COMPLETES the same work in 'X' days. C in 1 day does: 1/X work Given (A,B,C) together complete the work in 8 days Together, in 1 day they do: 1/8 part Hence, 1/8 = 1/24 + 1/16 + 1/X 1/X = 1/8 - 1/24 - 1/16 1/X = 6-2-3/48 = 1/48 X = 48 days. So C can finish the work in 48 days. Hope it helps.

Discussion

8.	For any positive integer n prove that n^3-n is divisible by 6
Answer» ${<klux>N</klux>}^{3} - n \\ n(n + 1)(n - 1)$ These are 3 CONSECUTIVE numbers and n consecutive numbers are DIVISIBLE by n factorial. Now 3 consecutive numbers are divisible by 3!=6.

Discussion

9.	If x+1/x=3 then x^6+1/x^6=
Answer» MARK this ANSWER as BRAINLIEST answer

Discussion

10.	A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500km away in time, it had to increase its speed by 100 Km/h from the usual speed. Find its usual speed.
Answer» HEY DEAR.. Here's your SOLUTION.. =================================== HOPE IT HELPS @Rêyaañ11

Discussion

11.	a total of rupees 2520 version has a balance in Tally vendors savings bank account on Monday he withdrawal rupees 7:50 on Tuesday and deposit rupees 500 on Wednesday what would be the balance amount in his account on Thursday morning
Answer» 2270... I THINK so...

Discussion

12.	If one of the zeroes of the quadratic polynomial P(x) = 14x²- 42k²- 9 is negative of the other find the value of k
Answer» HEY there..!! Here's your SOLUTION.. ============================================ $let \: one \: zero = \alpha \\ other \: zero = - \alpha \\ \\ sum \: of \: zeroes = \alpha - \alpha = 0 \\ product \: of \: zeroes = \alpha \times ( - \alpha ) = { - \alpha }^{2} \\ \\ so \: - b \div a = 0 \\ = > 42 {k}^{2} \div 14 = 0 \\ = > 42 {k}^{2} = 0 \\ = > {k}^{2} = 0 \\ \\ so \: k = 0$ ============================================ CHEERS..✌ @Rêyaañ11

Discussion

13.	Find the amount and the compound interest on 8000 5% per annum for 2 years compounded annually
Answer» [email PROTECTED]@-------------------------

Discussion

14.	Prove that.........cosec^6 x - cot^6 x = 3cot^2x cosec^2x+1
Answer» HELLO FRIEND...☺ Here is your SOLUTION.....☺ _________ HOPE this HELPS you....☺ Thanks.....✴✴✴

Discussion

15.	Simplify(81/16)-¾ × (25/9)-3/2
Answer» HEY FRIEND, Here is the ANSWER you were looking for: ${( \frac{81}{16} )}^{ - \frac{3}{4} } \times {( \frac{25}{9} )}^{ - \frac{3}{2} } \\ \\ = {( \frac{ {3}^{4} }{ {2}^{4} } })^{ - \frac{3}{4} } \times {( \frac{ {5}^{2} }{ {3}^{2} }) }^{ - \frac{3}{2} } \\ \\ = {( \frac{3}{2}) }^{4 \times - \frac{3}{4} } \times {( \frac{5}{3} )}^{2 \times - \frac{3}{2} } \\ \\ = {( \frac{3}{2} )}^{ - 3} \times {( \frac{5}{3}) }^{ - 3} \\ \\ = {( \frac{2}{3}) }^{3} \times {( \frac{3}{5} )}^{3} \\ \\ = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} \times \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\ \\ = \frac{2 \times 2 \times 2}{5 \times 5 \times 5} \\ \\ = \frac{8}{125}$ Hope this helps!!! @Mahak24 Thanks... ☺☺

Discussion

16.	Form a quadratic polynomial whose zeroes are -2,7
Answer» SUM of zero= 7+(-2)=5 product of zero= 7X(-2)= -14 equation= x²-sumof zero+product of zero = x²-5x+(-14) = x²-5x-14= 0

Discussion

17.	The angle of a triangle are in the ratio 1 : 2 : 6. find the angle
Answer» LET the RATIO be x. →x,2x,6x. We KNOW that: ✓A+✓B+✓C=180°. A/Q x+2x+6x=180°. →9x=180°. →x=180°/9 →x=20°. ✓A=x=20°. ✓B=2x=2×20°=40°. ✓C=6x=6×20°=120°. ☺☺ HOPE it is HELPFUL for you..

Discussion

18.	A vendor bought 100 oranges for rs 200. he sold20 of them at again of 5%. at ehat gain percentage must he sale the remainder so as to gain 30% on the whole
Answer» Answer is 170/4% see the pic I have explained I HOPE it will HELP you DEAR

Discussion

19.	Square root of 390625 by long division method
Answer» Here is your ANSWER

Discussion

20.	Product of a rational and an irrational number is always irrational. Is this true then how
Answer» YES this is true. Product of a rational and an irrational number is always irrational . For EXAMPLE, 9* /2 ( 9 multiplied by under root 2 ) is 9/2 (9 UNDEROOT 2) which is irrational.

Discussion

21.	Factorise ; 4x^2+9y^2+16z^2+12xy-24yz-16zx
Answer» USING IDENTITY - (a+b+c)²=a²+b²+c²+2ab+2bc+2ca

Discussion

22.	If a = root 2 +1 /root 2 - root 1 and b= 1/a find the value of a square +b square
Answer» HEY there! The SOLUTION is ATTACHED!

Discussion

23.	Prove that if x and y are both odd positive integers then x square + y square is even but not divisible by 4.
Answer» Hello, PLEASE refer the above photograph for the used process HOPE this will be HELPING you ✌️ ✌️

Discussion

24.	Verify a-(-b)=a+b if a=21 and b=18
Answer» A=21 and B=18 LHS : =a-(-b) =21-(-18) =21+18 =39 RHS : =a+b =21+18 =39 LHS=RHS HENCE, VERIFIED.

Discussion

25.	The average Marks of 50 students is80 if the marks of one student are taken as 73 instead of37 then the correct average
Answer» HELLO....☺ Here is your SOLUTION....☺ Thanks...☺ Hope this HELPS you.....☺

Discussion

26.	Polynomial =4x2-4x-3 find zeroes and verify the relationship
Answer» HOPE it HELP U a LOT

Discussion

27.	The area of square field is 5041/144 m. find its side
Answer» AREA of square = s × s = s^2 Given area = 5041 / 144 s^2 = 5041 / 144 s = root 5041 / 144 s = 71 / 12 So the side of the square is 71 / 12 m Hope it HELPS you.

Discussion

28.	Insert a rational Number between 2 and 2.5
Answer» HII.. RATIONAL no.s between 2 and 2.5 are 2.1, 2.2, 2.3, 2.4 HOPE it HELPS

Discussion

29.	Find the square root of 3-4i by complex method
Answer» ANSWER: $\sqrt{3-4i}= 2-i\:\:(or)\:\:-2+i$ Step-by-step explanation: Square root of 3 - 4i is found by using algebraic identity. In this METHOD the given COMPLEX NUMBER is MODIFIED as a perfect square by using suitable algebraic identity. Formula used: $(a-b)^2=a^2+b^2-2ab$ Now, $3 - 4i = (4-1) - 4i\\\\3 - 4i = (2^2+i^2) - 22i\\\\3 - 4i = (2 - i)^2\\\\\sqrt{3-4i}= 2-i\:or\:-(2-i)\\\\\sqrt{3-4i}= 2-i\:or\:-2+i$

29.

Find the square root of 3-4i by complex method

Answer»

ANSWER:

$\sqrt{3-4i}= 2-i\:\:(or)\:\:-2+i$

Step-by-step explanation:

Square root of 3 - 4i is found by using algebraic identity.

In this METHOD the given COMPLEX NUMBER is MODIFIED as a perfect square by using suitable algebraic identity.

Formula used:

$(a-b)^2=a^2+b^2-2ab$

Now,

$3 - 4i = (4-1) - 4i\\\\3 - 4i = (2^2+i^2) - 2*2*i\\\\3 - 4i = (2 - i)^2\\\\\sqrt{3-4i}= 2-i\:or\:-(2-i)\\\\\sqrt{3-4i}= 2-i\:or\:-2+i$

Discussion

30.	reenu got 2 by 7 part of an apple while sonal got 4 by 5 part of it . who got the larger part and by how much?
Answer» HEYA ✋ Let see your answer !!! Part of the APPLE got by REENU = 2/7 Part of the apple got by Sonal = 4/5 By cross multiplication 2/7 and 4/5 2 × 5 = 10 4 × 7 = 28 Therefore , 4/5 > 2/7 Difference = 4/5 - 2/7 = 28 - 10/35 = 18/35 Hence , Sonal got the larger part than Reenu by 18/35. Thanks :))))

Discussion

31.	By what rational number should we divide 22 by 7 so as to get the number -11/4?
Answer» Hey frnd.. Here is your ANSWER.. =>SOLUTION: LET the unknown number be X 22/7 ÷ x = -11 /4 x = -11/4 × 7/22 x = -1/4 ×7/2 x = -7/8 Hope it helped u.. Thank u..

Discussion

32.	If the product of zeros of the polynomial f(x)=ax3-6x2+11x-6 is 4, then a=
Answer» HEY!!!! $if \: \alpha \beta \gamma = 4$ Then $\alpha \beta \gamma = \frac{ - d}{a}$ Thus REPLACING value => 4 = 6/a => a = 3/2 Hope this HELPS

Discussion

33.	Add: (2√3-5√2)+(√3+2√2)
Answer» $(2\sqrt{<klux>3</klux>}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$ $=3(\sqrt{3}-\sqrt{2})$ Step-by-step explanation: We have, $(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$ To add, $(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})=?$ ∴ $(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$ $=2\sqrt{3}-5\sqrt{2}+\sqrt{3}+2\sqrt{2}$ $=(2\sqrt{3}+\sqrt{3})+(-5\sqrt{2}+2\sqrt{2})$ $=3\sqrt{3}-3\sqrt{2}$ Taking 3 as COMMON, we get $=3(\sqrt{3}-\sqrt{2})$ The ADDITION of $(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$ $=3(\sqrt{3}-\sqrt{2})$ HENCE, $(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$ $=3(\sqrt{3}-\sqrt{2})$

33.

Add: (2√3-5√2)+(√3+2√2)

Answer»

$(2\sqrt{<klux>3</klux>}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$ $=3(\sqrt{3}-\sqrt{2})$

Step-by-step explanation:

We have,

$(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$

To add, $(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})=?$

∴ $(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$

$=2\sqrt{3}-5\sqrt{2}+\sqrt{3}+2\sqrt{2}$

$=(2\sqrt{3}+\sqrt{3})+(-5\sqrt{2}+2\sqrt{2})$

$=3\sqrt{3}-3\sqrt{2}$

Taking 3 as COMMON, we get

$=3(\sqrt{3}-\sqrt{2})$

The ADDITION of $(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$ $=3(\sqrt{3}-\sqrt{2})$

HENCE, $(2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})$ $=3(\sqrt{3}-\sqrt{2})$

Discussion

34.	show that 1/2 and -3/2 are the zeroes of the polynomial 4x square + 4x - 3 and also verify the relationship between the zeros and coefficients of the polynomial
Answer» HII friend, P(X) = 4X²+4X-3 => 4X²+6X-2X-3 => 2X(2X+3) -1(2X+3) => (2X+3)(2X-1) => (2X+3) = 0 OR (2X-1) = 0 => X = -3/2 OR X = 1/2 Hence, 1/2 and -3/2 are the zero of the POLYNOMIAL 4X²+4X-3 Let Alpha = 1/2 and Beta = -3/2 Relationship between the zeros and COEFFICIENT. Sum of zeros = (Alpha +Beta) = {1/2+(-3/2)} = 1/2 - 3/2 = 1-3/2 = -2/2 = -1 = Coefficient of X/Coefficient of X² Product of zeros = (Alpha × Beta) = (1/2 × -3/2) = -3/4= Constant term/Coefficient of X². HOPE IT WILL HELP YOU..... :-)

Discussion

35.	The product of two integers is -180 if one of them is 12 find the other
Answer» Hi, LET the other INTEGER be x. x multiplied by 12 = -180 => 12X = -180 => x = -15 Hope it helped :-)

Discussion

36.	Prove that a cyclic Parallelogram is a rectangle
Answer» ✋✋✋✋✋✋☺☺☺ OPPOSITE ANGLES in a parallelogram are congruent, while opposite angles in a cyclic QUADRILATERAL are supplementary. Congruent supplementary angles are RIGHT angles, so opposite angles in a cyclic parallelogram are right angles. Thus all four angles are right angles, and it's a rectangle.

Discussion

37.	Find the zeros of quadratic polynomial root 3x^2-8x+4 root 3
Answer» Hey!!!! I'm BACK => √3x² - 8x + 4√3 = 0 => √3x² - 6x - 2x + 4√3 = 0 => √3x(x - 2√3) - 2(x - 2√3) = 0 => (√3x - 2)(x - 2√3) = 0 Thus x = 2/√3 or x = 2√3 Hope this HELPS ✌️

Discussion

38.	the area of a rectangular carpet is 120 m square and its perimeter is 46 m the length of its diagonal is
Answer» The LENGTH of the DIAGONAL is 17M.

Discussion

39.	An item was sold for $540 at a loss of 5% find cost price
Answer» C:-540 l-5% CP= 100/100-5*540 === $568 is the COST price-answer

Discussion

40.	4 dice are thrown simultaneously what is the probability that all of them show the different face
Answer» The ANSWER will be 1

Discussion

41.	If alpha and beta are the zeroes of the quadratic polynomial f(x)=xsquare +x-2find the value of 1/alpha-1/beta....
Answer» Given f(x)=x²+x-2 and ALPHA and beta are the ZEROES of this equation so we have to FIND $\frac{1}{ \alpha } - \frac{1}{ \beta }$ so first we have to FACTORISE the equation. x²+2x-1x-2 x(x+2)-1(x+2) (x-1)(x+2) x=1:x=(-2) so ã=1 and ß=(-2) $\frac{ \beta - \alpha }{ \alpha \beta } = \frac{( - \alpha) + \beta }{ \alpha \beta } = \frac{ - 1 + ( - 2)}{1 \times ( - 2)} = \frac{( - 3)}{ - 2} = \frac{3}{2}$ I hope it works

Discussion

42.	The diameter of a wheel of a car is 70cm.Find the distance covered by the car during the time in which the wheel makes thousand revolutions?
Answer» 2πr r=70cm 2×22/7×70=440cm distance=circumference×revolutions that MEANS =440cm×1000=440000cm 440000cm=4400m=4.4km

Discussion

43.	1. Simplify: –45p3 ÷ 9p22. Simplify: 4x2y2(3z – 24), 36xy(z – 8)3. Divide: 81x3(50x2 – 98) by 27x2 (5x + 7)4. Which of the following is the remainder when z(5z2 – 80) is divided by 5z(z – 4): (a) z + 4(b) z – 4(c) 5(d) 05. Which of the following is the quotient when 44(x4 – 5x3 – 24x2) is divided by 22x(x – 8): (a) x(x + 3)(b) 2x(x + 3)(c) 2(x – 3)(d) x(x – 3)6. Which of the following is factorization of (1 – x2) (a) (1 + x) (1 + x)(b) (1 – x) (1 – x) (c) (1 – x) (1 + x)(d) none of these7. By which of the following a4 – b4 be divided to get quotient (a2 + b2) (a – b) and, remainder as 0. (a) a2 + b2(b) a – b(c) a + b(d) a2 – b28. Is (a – 1) (b – 1) the factorisation of (ab – a – b +1) or (ab – a + b – 1)?
Answer» Answer: Step-by-step explanation: 1. –45p3 ÷ 9p2 = -45p³/9p² = -5p 2. 4x²y²(3z - 24) /(36xy (z-8) = 12x²y²(z - 8)/(36xy (z-8) = xy/3 3. 81x³ (50x² - 98)/(27x²(5x + 7)) = 3X * 2*(25x² - 49)/(5x + 7) = 6X (5x + 7)(5x - 7)/(5x + 7) = 6x(5x - 7) = 30x² - 42x 4. z(5z² – 80)/(5z(z-4)) = 5(z² - 16) /5(z-4) = (z + 4)(z-4)/(z-4) = z + 4 remainder = 0 44(x⁴ - 5x³ - 24x²)/(22X(x-8)) = 2x²(x² - 5x - 24)/(x(x - 8)) = 2x(x-8)(x+3)/(x-8) = 2x(x + 3) 2x(x + 3) is Quotient 1 – x² = (1 + x)(1-x) (C) (1 – x) (1 + x) a⁴ - b⁴ = (a² + b²)(a² - b²) so to be divided by a² - b² to GET Quotient a² + b²

43.

1. Simplify: –45p3 ÷ 9p22. Simplify: 4x2y2(3z – 24), 36xy(z – 8)3. Divide: 81x3(50x2 – 98) by 27x2 (5x + 7)4. Which of the following is the remainder when z(5z2 – 80) is divided by 5z(z – 4): (a) z + 4(b) z – 4(c) 5(d) 05. Which of the following is the quotient when 44(x4 – 5x3 – 24x2) is divided by 22x(x – 8): (a) x(x + 3)(b) 2x(x + 3)(c) 2(x – 3)(d) x(x – 3)6. Which of the following is factorization of (1 – x2) (a) (1 + x) (1 + x)(b) (1 – x) (1 – x) (c) (1 – x) (1 + x)(d) none of these7. By which of the following a4 – b4 be divided to get quotient (a2 + b2) (a – b) and, remainder as 0. (a) a2 + b2(b) a – b(c) a + b(d) a2 – b28. Is (a – 1) (b – 1) the factorisation of (ab – a – b +1) or (ab – a + b – 1)?

Answer»

Answer:

Step-by-step explanation:

1. –45p3 ÷ 9p2

= -45p³/9p²

= -5p

2. 4x²y²(3z - 24) /(36xy (z-8)

= 12x²y²(z - 8)/(36xy (z-8)

= xy/3

3. 81x³ (50x² - 98)/(27x²(5x + 7))

= 3X * 2*(25x² - 49)/(5x + 7)

= 6X (5x + 7)(5x - 7)/(5x + 7)

= 6x(5x - 7)

= 30x² - 42x

4. z(5z² – 80)/(5z(z-4))

= 5(z² - 16) /5(z-4)

= (z + 4)(z-4)/(z-4)

= z + 4

remainder = 0

44(x⁴ - 5x³ - 24x²)/(22X(x-8))

= 2x²(x² - 5x - 24)/(x(x - 8))

= 2x(x-8)(x+3)/(x-8)

= 2x(x + 3)

2x(x + 3) is Quotient

1 – x²

= (1 + x)(1-x)

(C) (1 – x) (1 + x)

a⁴ - b⁴ = (a² + b²)(a² - b²)

so to be divided by a² - b² to GET Quotient a² + b²

Discussion

44.	Factorise x² + 2√3x - 24
Answer» 0

Discussion

45.	Dimensions of luggage box are 80cm 60cm 40cm .then how many sq cm cloth is required
Answer» AREA of BOX is 806040=192000cm Area of SQUARE is a^2 a^2=192000 Therefore a=438.178

Discussion

46.	Simpliyfy root2 (root6 - root 8 ) + root 3 (root 27 - root 6)
Answer» HI...☺ Here is your ANSWER...✌ √2 (√6 - √8) + √3(√27 - √6) = √2(√2×√3 - 2√2) + √3(3√3 - √2×√3) = 2√3 - 2×2 + 3×3 - 3√2 = 2√3 - 4 + 9 - 3√2 = 5 + 2√3 - 3√2

Discussion

47.	What should be subtracted from (3/4-2/3)to get -1/6
Answer» We SUBTRACT 1/4 from 3/4-2/3 to get -1/6 3/4-2/6 we get 1/12 let the no. that subtract is N then 1/12-n =-1/6 then when we solve we get 6-36n=-12 -72N = -12-6 then n = 18/72 1/4 hope this is CORRECT

Discussion

48.	Find the number by which 546 should be divided to get 7 as quotient nd 7 as remainder
Answer» Hye ============================================================ aim :to find he number by which 546 should be DIVIDED to get 7 as quotient nd 7 as remainder =>LET the number be X 7 should be the quoteient as well as remainder quoteient is 7 so, => 546 = x*7 +7 =>546 = 7X +7 =>7x = 546 - 7 =>7x = 539 =>x = 539/7 =>x = 77 ================================================ hope it helps u.....

Discussion

49.	Manav has a small box with ₹740 in coins of denomination ₹1, ₹2 and ₹5. If the number of coins of denomination of ₹2 are 3 times the number of coins of denomination of ₹1 and the number of coins of denomination of ₹5 are twice the number of coins of ₹2, how many coins of each denomination does Manav has?
Answer» Manav has 20, 60 and 120 numbers of coins of Rs 1, 2 and 5 denomination, RESPECTIVELY

Discussion

50.	Cot45 divided by sec30+cosec30= ?
Answer» HEY DEAR here is UR ANSWER... $\frac{1}{ \frac{2}{ \sqrt{3} } + 2} = \frac{1}{ \frac{2 \ + 2 \sqrt{3} }{ \sqrt{3} } } = \frac{1}{ \frac{2(1 + \sqrt{3)} }{ \sqrt{3} } } = \frac{ \sqrt{3} }{2(1 + \sqrt{3)} }$

Discussion

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4 dice are thrown simultaneously what is the probability that all of them show the different face

If alpha and beta are the zeroes of the quadratic polynomial f(x)=xsquare +x-2find the value of 1/alpha-1/beta....

The diameter of a wheel of a car is 70cm.Find the distance covered by the car during the time in which the wheel makes thousand revolutions?

Factorise x² + 2√3x - 24

Dimensions of luggage box are 80cm 60cm 40cm .then how many sq cm cloth is required

Simpliyfy root2 (root6 - root 8 ) + root 3 (root 27 - root 6)

What should be subtracted from (3/4-2/3)to get -1/6

Find the number by which 546 should be divided to get 7 as quotient nd 7 as remainder

Cot45 divided by sec30+cosec30= ?