332354 + Interview Questions in Secondary School in Math

1.	An airplane is headed on a bearing of 130 degrees at an airspeed of 261 km per hr. A 58 km per hr wind is blowing from a direction of 217 degrees. Find the groundspeed and resulting bearing of the plane.
Answer» From thediagram attached Angle ABC =217 – 130 = 87 Using thecosine rule b² = a²+ c²– 2AC Cos B b² = 58² +261² – 2x58x261 Cos 87 = 69900.4766 b = 264.4km/h Gettingangle BAC using Sine rule a/Sin A = b/Sin B 58/Sin A =264.4/ Sin 87 Sin A =(58XSin87)/264.4 = 0.219 A = 12.7 BEARING angle= 130 – 12.7 = 117.3 GROUND speed= 264.4 km/h Bearing =117.3

1.

An airplane is headed on a bearing of 130 degrees at an airspeed of 261 km per hr. A 58 km per hr wind is blowing from a direction of 217 degrees. Find the groundspeed and resulting bearing of the plane.

Answer»

From thediagram attached

Angle ABC =217 – 130 = 87

Using thecosine rule

b² = a²+ c²– 2AC Cos B

b² = 58² +261² – 2x58x261 Cos 87

= 69900.4766

b = 264.4km/h

Gettingangle BAC using Sine rule

a/Sin A = b/Sin B

58/Sin A =264.4/ Sin 87

Sin A =(58XSin87)/264.4 = 0.219

A = 12.7

BEARING angle= 130 – 12.7 = 117.3

GROUND speed= 264.4 km/h

Bearing =117.3

Discussion

2.	How to show square root of 3+ 21 on a number line
Answer» $\\ \sqrt[3]{21}$

Discussion

3.	What will be the greatest number from 0 3 9?
Answer» The GREATEST NUMBER MADE from these DIGITS are 930...

Discussion

4.	Kevin and William each have a bag that contains one ball each of the colours red, blue, yellow, green, orange and white. Kevin randomly selects a ball from his bag and puts it in Kevin's bag. what is the probability that after this, the contents of the bag are the same as before?
Answer» T TERI it DR TERESA RT uuuutrsss

Discussion

5.	What will be the date after 70 days from today
Answer» HEY dude.... Here is your answer...... From the May 1...... DATE will be 10 July 2018 from now....... I HOPE THIS WILL HELP YOU OUT...... HAVE A GREAT DAY DEAR.....

Discussion

6.	a bag contains 4 red balls, 6 blue balls and 6 green balls. Betty draws 2 balls out of the bag. what is the probability that she gets a green ball and a blue ball.
Answer» The PROBABILITY of GETTING a GREEN BALL is 6/16 the probability of getting a BLUE ball is 6/16

Discussion

7.	How to give screensaver for 20 sec in assembly 8086
Answer» SIMPLE just USE your BRAIN

Discussion

8.	The value of cos / 4 x cos / 4 x ( )( ) Ď€++ Ď€â’ is
Answer» Yd68e7w54r8yw757prao6e5ay

Discussion

9.	What is successor of smallest 4 digit number which is smallest 5 digit number?
Answer» 10000 . It is your ANSWER

Discussion

10.	What is successor of smallest 4 digit number?
Answer» 999 . This is you ANSWER

Discussion

11.	What is distributive property for multiplication
Answer» HII here is ur ANSWER ☺ ___________________ The distributive property of MULTIPLICATION LETS u multiply a sum by multiplying each addend separately and then ADD the products. _______________________ Hope it helpz u ☺

Discussion

12.	How many such pairs of letters are there in the word DISTURB each of which has as many letters between them in the word as in the English alphabet?
Answer» There are THREE LETTERS I.e. S T and U

Discussion

13.	Bessel function in terms of confluent hypergeometric function
Answer» It's is CONFUSING I can't do that PROBLEM OKK

Discussion

14.	How many numbers 0 to 9 repetition form 1 to 100
Answer» 9 NUMBERS REPETITION from 1 to 100.

Discussion

15.	Integration of x dx and limit is 2 to -2
Answer» I HOPE this ANSWER HELP you

Discussion

16.	If a system ax=b has more than one solution then so does the system ax=0
Answer» AX= 0 has INFINITELY MANY SOLUTIONS

Discussion

17.	A's salary is 50 more than b's. how much percent is b's salary less than a's
Answer» LET’s TAKE B SALARY is 100 So a salary is 150 150-100 ————* 100 150 = 50/150* 100 = 100/3 = 33.33%

Discussion

18.	How to solve and equation when the powers are euaql
Answer» When the powers are EQUAL .MULTIPLY the BASE. and WRITE as the PRODUCT to the power (which is equal ).

Discussion

19.	Zero divide by zero is equal to in excel make
Answer» Hey Friend....☺ Here is your answer Dividing by Zero in Excel Without getting into a semantics debate, Excel does allow you to divide by zero. It also lets you know you have an error. In the resulting cell, it shows the famous line of #DIV/0!. It’s one of those error messages where the LETTERS and numbers make sense, but you also wonder if your PC is swearing at you. Although your PC isn’t mad, the message may fluster users. Some look at the alert and see the help text “The formula or function used is dividing by zero or empty cells” as shown below. Others might question the data integrity. Personally, I THINK it’s an aesthetic issue. The reason I got this Excel error was that I tried to divide my Cost VALUE in C7 by my Catalog Count in D7. This TEST ad cost $77.45 and GENERATED 0 catalog requests. A similar error occurs if the Catalog Count cell was blank. Hoping it helps Thanks :-)

Discussion

20.	Two numbers are such that twice the greater number exceeds twice the smaller one by 18
Answer» NUMBERS will be 1 10 2(10) = 2 (1) + 18

Discussion

21.	Two number multiplication is 14/15 and their division is 35/24 what ai the both numbers
Answer» LET a+b= 14/15 so a/b= 35/24 now from EQUATION 2nd a= 35b/24.......3rd equation now in 1st equation put the value of a from 3rd equation U get exact value of b now with that u will also get the value of a -thats ALLL

Discussion

22.	What number should be added or subtracted from each term in the ratio 11:9 so that it become 6:5
Answer» 1 Should be added to each term of 11 : 9 so that it becomes 6:5 Step-by-step explanation: Let say number Should be added = X in each term of 11 : 9 so that it becomes 6 : 5 => 11 + X : 9 + X = 6 : 5 => (11 + X) / (9 + X) = 6/5 => 5 (11 + X) = 6( 9 + X) => 55 + 5X = 54 + 6X => 1 = X => X = 1 1 Should be added to each term of 11 : 9 so that it becomes 6:5 Let say Y should be subtracted in each term of 11 : 9 so that it becomes 6 : 5 => (11 - Y)/(9 - Y) = 6/5 => 55 - 5Y = 54 - 6Y => Y = - 1 -1 should be subtracted in each term of 11 : 9 so that it becomes 6 : 5 Learn more: 6. A milkman adds 10 litres of WATER to 90 litres of milk. After selling 1 ... brainly.in/question/7282007 If a, b, c, d are in proportion, then PROVE that a²+5c²/b²+5d²=a/b ... brainly.in/question/4594620 Missing proportion 9/7=n/147 - Brainly.in brainly.in/question/13394259

22.

What number should be added or subtracted from each term in the ratio 11:9 so that it become 6:5

Answer»

1 Should be added to each term of 11 : 9 so that it becomes 6:5

Step-by-step explanation:

Let say number Should be added = X in each term of 11 : 9 so that it becomes 6 : 5

=> 11 + X : 9 + X = 6 : 5

=> (11 + X) / (9 + X) = 6/5

=> 5 (11 + X) = 6( 9 + X)

=> 55 + 5X = 54 + 6X

=> 1 = X

=> X = 1

1 Should be added to each term of 11 : 9 so that it becomes 6:5

Let say Y should be subtracted in each term of 11 : 9 so that it becomes 6 : 5

=> (11 - Y)/(9 - Y) = 6/5

=> 55 - 5Y = 54 - 6Y

=> Y = - 1

-1 should be subtracted in each term of 11 : 9 so that it becomes 6 : 5

Learn more:

6. A milkman adds 10 litres of WATER to 90 litres of milk. After selling 1 ...

brainly.in/question/7282007

If a, b, c, d are in proportion, then PROVE that a²+5c²/b²+5d²=a/b ...

brainly.in/question/4594620

Missing proportion 9/7=n/147 - Brainly.in

brainly.in/question/13394259

Discussion

23.	In how many ways can 10 identical presents be distributed among 6 children so that each child gets at least one present?
Answer» No of identical presents = 10 no of CHILDREN's to be distributed = 6 no of ways by which presents can be distributed = nPr = N!/(n-R)! × r! = 10!/ (10-6)!×6! =(10×9×8×7×6!)/4! × 6! = (10×9×8×7)/(4×3×2) = 10×3×7 =210

Discussion

24.	If a=2+√3, find a+[1/a] and a^2+[1/a^2]
Answer» Heya MATE, your SOLUTION is in the attachment. #KEVIN HOPE it will HELP you..

Discussion

25.	Arrange (-9÷3), (-4+6), 2(-4), 1 \|-7-3 \|,-5-3x2 in ascending order
Answer» ANSWER is -5-3×2 SMALLER than 2(-4) smaller than (-9÷3)smaller than (-4+6) smaller than 1\|-7-3\|

Discussion

26.	Average variable cost from total cost function
Answer» HTTPS://m.wikihow.com/Find-Marginal-Cost go to the site hope you UNDERSTAND from there

Discussion

27.	The 2 numbers which their product is 160 and sum 28
Answer» HEY DUDS here is UR ans.when we MULTIPLY 20×8 =160 20+8=28 hope it HELPS u ☆☆☆☆☆♡♡☆☆

Discussion

28.	The value of a for which the curve touches x axis
Answer» Y=0; And the VALUE of X will VARY

Discussion

29.	The sum of the squares of three numbers is 532
Answer» Hi , Let ( x - 1 ) , x , ( x + 1 ) are three consecutive numbers , sum of the SQUARES = 532 ( x - 1 )² + x² + ( x + 1 )² = 532 x² - 2X + 1 + x² + x² + 2x + 1 = 532 3x² + 2 = 532 3x² = 532 - 2 3x² = 530 x² = 530/3 I hope this helps you. : )

Discussion

30.	2) 30 girls and boys have planned for a picnic. There is a ratio of 3 girls to 7 boys. How many boys are there?
Answer» HERE IS THE ANSWER ◆ 10 children, 7 are BOYS. ◆ So, since we have 3 sets of 10 children, these 3 sets MUST have 3 X 7 = 21 boys. So the NUMBER of boys are 21. HOPE IT HELPS

Discussion

31.	Solve sin^2x dx/dy = 2y given that y = cot x is a solution
Answer» HIII is the CORRECT ANSWER

Discussion

32.	Find value of a for 5+2√3/7+4√3=a-6√3
Answer» Hey friend, Here is the answer you were LOOKING for: (Solution in attachment) Hope this helps!! If you have any doubt REGARDING to my answer, feel free to ASK in the COMMENT section or INBOX me if needed. @Mahak24 Thanks... ☺☺

Discussion

33.	If x is a whole number then x2(x2-1) is always divisible by
Answer» ${<klux>X</klux>}^{2} ( {x}^{2} - 1) = {x}^{2} (x - 1)(x + 1)$ THUS it is ALWAYS DIVISIBLE by x, x-1 and x+1 pl. MARK brainliest

Discussion

34.	What is that least number that must be added to the product 684 Ă— 686 to make it a perfect square?
Answer» 1370 is the CORRECT ANSWER

Discussion

35.	Simplerisc assembly to test if a number is a perfect square
Answer» By LISTENING to the CLASS TEACHER PROPERLY

Discussion

36.	The mean of four numbers a, b, c, d is 100. if c = 70, then the mean of the remaining numbers is
Answer» $\textsf{Given:}$ $\textsf{Mean of a,b,c and d is 100}$ $\mathsf{Mean=\displaystyle\frac{\Sigma{x}}{n}}$ $\implies\mathsf{100=\displaystyle\frac{a+b+c+d}{4}}$ $\implies\mathsf{100{\times}4=a+b+70+d}$ $\implies\mathsf{a+b+d=330}$ $\textsf{The mean of the remaining 3 numbers=}\mathsf{\displaystyle\frac{a+b+d}{3}}$ $\textsf{The mean of the remaining 3 numbers=}\mathsf{\displaystyle\frac{330}{3}}$ $\therefore\textsf{The mean of the remaining 3 numbers=110}$ Find more: If the mean of 17, 19, 24, 15, 18, 16, x, 14 is 17. SIND the value of x brainly.in/question/14104575#

36.

The mean of four numbers a, b, c, d is 100. if c = 70, then the mean of the remaining numbers is

Answer»

$\textsf{Given:}$

$\textsf{Mean of a,b,c and d is 100}$

$\mathsf{Mean=\displaystyle\frac{\Sigma{x}}{n}}$

$\implies\mathsf{100=\displaystyle\frac{a+b+c+d}{4}}$

$\implies\mathsf{100{\times}4=a+b+70+d}$

$\implies\mathsf{a+b+d=330}$

$\textsf{The mean of the remaining 3 numbers=}\mathsf{\displaystyle\frac{a+b+d}{3}}$

$\textsf{The mean of the remaining 3 numbers=}\mathsf{\displaystyle\frac{330}{3}}$

$\therefore\textsf{The mean of the remaining 3 numbers=110}$

Find more:

If the mean of 17, 19, 24, 15, 18, 16, x, 14 is 17. SIND the value of x

brainly.in/question/14104575#

Discussion

37.	The predecessor of the smallest 4-digit number is the? 3 digit number
Answer» Predecessor of the SMALLEST 4 digit number is 999 and 3 digit = 99

Discussion

38.	If Arccos x >Arcsinx ,thena.0 less than equal to x ,less than 1/√2b. -1 less than equal to x ,less than 1/√2c.0 less than x ,less than 1/√2Here ,which option is right, a or b or c??Answer it with reason or explanation.I will surely mark it as brainliest.
Answer» ACCORDING to me, it's answer should be $a \: \: 0 \leqslant x < 1 \div \sqrt{2}$ the reason is as below assume $arc = l$ so if $l \cos(x) > l \sin(x)$ cancelling L from both SIDES we get $\cos(x) > \sin(x)$ and for that condition to be TRUE your x has to be in $0 \leqslant x < 45 \: or \: \binom{\pi}{4}$ but as that is not in options REAL ANSWER ACCORDING TO ME SHOULD BE NONE OF THIS but as it is not in options so I TRIED to check their cosine values and that is matching with first option thus I am telling that your answer could be A

Discussion

39.	Difference between unit and position vectors ??
Answer» HERE IS THE ANSWER; ◆ The Unit VECTOR has only Magnitude. ◆ The POSITION vector has Both Magnitude As well as direction & the ONE end POINT of one vector has the starting point of the other vector. 【 Note: The Vector should be joined TOGETHER with each other. 】 HOPE IT HELPS

Discussion

40.	Who has scored highest percentage in ICSE board last year
Answer» 92.5 my BROTHER ATTAINED

Discussion

41.	The difference between 63% of a number and 45% of the same number is 34.2, 78% of that number is ?
Answer» 15 PERSENT of DIFFERENCE is the NUMBER

Discussion

42.	In an isosceles triangle, the base angle is twice as large as vertex angle. find the angle of the triangle
Answer» Solution. In a isosceles triangle BASE angles are same. so, let the base angle be X° ATQ, => 2x+2x+x=180° => 5x = 180° => x= 30 Now, vertical angle= 30° Base angles= 2*30= 60° _________________ hope it HELP you✌✌

Discussion

43.	6 dozen eggs are brought for Rs 48. How much will 132 eggs cost?
Answer» HEYA!! HERE'S YOUR ANSWER 6 dozens = RS. 48 1 dozen = 48/6 = Rs. 8 That means, 12 EGGS = Rs. 8 So, 1 egg = Rs. 8/12 Thus, 132 eggs = Rs. (8/12)×132 = 8×11 = Rs. 88 Therefore, 132 eggs can be BOUGHT by Rs. 88. HOPE HELPED !! HAPPY TO HELP :)

Discussion

44.	What are the properties of IID random variables
Answer» Hi The properties of independent random VARIABLES are given here: 1) The joint distribution function of TWO independent variables factors into the product of their marginal distribution functions. 2) For two CONTINUOUS random variables XX and YY, they are independent if and only if for any two densities of XX and YY, their product becomes the joint density of XX and YY. 3) If XX and YY are two independent random variables, and PP = g(X)g(X) and QQ = h(Y)h(Y) then PP and QQ are also independent to each other. hope it helps you

Discussion

45.	Find the lcm of 693 495 and 297
Answer» HEY friend.....☺ Here is your answer By prime FACTORIZATION:- Prime FACTORS of 297 : 3, 3, 3, 11 Prime Factors of 495 : 3, 3, 5, 11 Prime Factors of 693 : 3, 3, 7, 11 Therefore, the LCM is => 3×3×3×5×7×11=10395. Hoping it helps Thanks :D

Discussion

46.	Calculate the deviance for Poisson distribution đť‘¦~đť‘đť‘ś(đťś†)
Answer» Hey friend.....☺ Here is your answer Poisson regression In Poisson regression we model a count OUTCOME variable Y as a function of COVARIATES X1,..,XP. The outcome is ASSUMED to follow a Poisson distribution, and with the usual log link function, the outcome is assumed to have mean μ, with μ=exp(β0+β1X1+...+βpXp) Hoping it helps Thanks.....

Discussion

47.	The circular cone is formed by a rotation
Answer» The circular cone is FORMED by a ROTATION of a right ANGLES equlteral or a scalene triangle ALONG a fixed axis of rotation.....

Discussion

48.	What is time now 12 am
Answer» YES it is RIGHT 12 am

Discussion

49.	The chess club has 18 students. How many different teams of 4 can be formed for competition?3,06018,36073,440
Answer» Number of students in CHESS CLUB = 18 Number of students in a team = 4 so, number of teams can be formed for competition = ¹⁸C₄ = 18!/(18 - 4)! × 4! = 18!/14! × 4! = 18 × 17 × 16 × 15 × 14!/{14! × 4 × 3 × 2 × 1} = 18 × 17 × 16 × 15/24 = 3 × 17 × 16 × 15/4 = 3 × 17 × 4 × 15 = 51 × 60 = 3060 Hence, answer is 3060

Discussion

50.	Expand the sum (2x-3/x +1)2
Answer» (2x-3/x+1)2 4x-6/x+1 4x-6=x+1 4x-x=1+6 3x=7 x=7/3

Discussion

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