332354 + Interview Questions in Secondary School in Math

1.	Q. Find the value of(2/3)³+5²
Answer» ANSWER: $\frac{683}{27}$ Step-by-step EXPLANATION: $\frac{2}{3}^{3} + {5}^{2} \\ \\ \\ \frac{8}{27} + \frac{25}{1} \\ \\ \\ \frac{8 + 675 }{27} \\ \\ \\ = \frac{683}{27}$

1.

Q. Find the value of(2/3)³+5²

Answer»

ANSWER:

$\frac{683}{27}$

Step-by-step EXPLANATION:

$\frac{2}{3}^{3} + {5}^{2} \\ \\ \\ \frac{8}{27} + \frac{25}{1} \\ \\ \\ \frac{8 + 675 }{27} \\ \\ \\ = \frac{683}{27}$

Discussion

2.	Can do it by two methods
Answer» ANSWER: so it by STEP DEVIATION method put X=-3-2y

2.

Can do it by two methods

Answer»

ANSWER:

so it by STEP DEVIATION method

put X=-3-2y

Discussion

3.	Nine gears are placed on a plane, arranged in a chain as shown below:Can all the gears rotate simultaneously. justify your answer.
Answer» Answer: The answer is no. Suppose that the first gear rotates clockwise. Then the second gear MUST rotate counter-clockwise, the third clockwise again, the FOURTH counterclockwise, and so on. It is clear that the ”odd” gears must rotate clockwise, while the ”even” gears must rotate counter-clockwise. But then the first and eleventh gears must rotate in the same direction. This is a contradiction. The main idea in the solution to this problem is that the gears rotating clockwise and counter-clockwise alternate. Similarly, for 572 gears, the rotation is possible. 2. (6 points) Prove that if a number has an odd number of divisors, then it is a perfect square. Solution: If a number n is not a perfect square, its divisors can be paired up (all such pairs will have a number >  √ n and a number <  n), thus making the number of √ divisors even. However, in CASE of odd number of divisors, we have an extra DIVISOR, which is possible only if we have a square number. 3. (8 points) If p, 4p2 + 1, and 6p2 + 1 are prime numbers, find p. Solution: The answer is p = 5. Analyze the remainders upon division by 5. 4. (10 points) How many ways are there to place: a) two bishops, b) two knights, c) two queens on a chessboard so that they do not attack each other? Solution: Stamatics, IIT Kanpur Page 1 of 5Mathemania-1 Solutions 5. (12 points) Prove that all the numbers in the series 10001, 100010001, 1000100010001, ... are composite.

3.

Nine gears are placed on a plane, arranged in a chain as shown below:Can all the gears rotate simultaneously. justify your answer.

Answer»

Answer:

The answer is no. Suppose that the first gear rotates clockwise. Then the second gear MUST rotate counter-clockwise, the third clockwise again, the FOURTH counterclockwise, and so on. It is clear that the ”odd” gears must rotate clockwise, while the ”even” gears must rotate counter-clockwise. But then the first and eleventh gears must rotate in the same direction. This is a contradiction. The main idea in the solution to this problem is that the gears rotating clockwise and counter-clockwise alternate. Similarly, for 572 gears, the rotation is possible.

2. (6 points) Prove that if a number has an odd number of divisors, then it is a perfect square.

Solution: If a number n is not a perfect square, its divisors can be paired up (all such pairs will have a number > 

√ n and a number <  n), thus making the number of √

divisors even. However, in CASE of odd number of divisors, we have an extra DIVISOR, which is possible only if we have a square number.

3. (8 points) If p, 4p2 + 1, and 6p2 + 1 are prime numbers, find p. Solution: The answer is p = 5. Analyze the remainders upon division by 5.

4. (10 points) How many ways are there to place: a) two bishops, b) two knights, c) two queens on a chessboard so that they do not attack each other? Solution:

Stamatics, IIT Kanpur Page 1 of 5Mathemania-1 Solutions

5. (12 points) Prove that all the numbers in the series 10001, 100010001, 1000100010001, ...

are composite.

Discussion

4.	Rationalise the denominator of 3 plus root 3 by 2 plus root 3
Answer» ANSWER: $\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$ = $\dfrac{3+\sqrt{3}}{2+\sqrt{3}}$ = $\dfrac{(3+\sqrt{3})(2-\sqrt{3})}{(2+\sqrt{3}) (2-\sqrt{3})}$ = $\dfrac{(3+\sqrt{3})(2-\sqrt{3})}{(2) ^{2}-(\sqrt{3}) ^{2}}$ $\large\green{\boxed{(a+b) (a-b) =a^{2}-b^{2}}}$ = $\dfrac{(3+\sqrt{3})(2-\sqrt{3}) }{4-3}$ = $\dfrac{(3+\sqrt{3})(2-\sqrt{3}}{1 }$ = $3(2-\sqrt{3}) +\sqrt{3}(2-\sqrt{3})$ = $6-3\sqrt{2}+2\sqrt{3}-3$ = $3-\sqrt{3}$ $\huge\orange{\boxed{Answer:3-\sqrt{3}}}$

4.

Rationalise the denominator of 3 plus root 3 by 2 plus root 3

Answer»

ANSWER:

$\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$

= $\dfrac{3+\sqrt{3}}{2+\sqrt{3}}$

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

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

$\large\green{\boxed{(a+b) (a-b) =a^{2}-b^{2}}}$

= $\dfrac{(3+\sqrt{3})(2-\sqrt{3}) }{4-3}$

= $\dfrac{(3+\sqrt{3})(2-\sqrt{3}}{1 }$

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

= $6-3\sqrt{2}+2\sqrt{3}-3$

= $3-\sqrt{3}$

$\huge\orange{\boxed{Answer:3-\sqrt{3}}}$

Discussion

5.	Find the values of a,b,c and d in the following subtraction. 8 a b c - a b c 5
Answer» Given : 8 A B C - A B C 5= D488 To find : Value of A , B , C & D Solution: Complete QUESTION is 8 A B C - A B C 5 ________ D 4 8 8 C - 5 = 8 => C = 3 (as 13 - 5 = 8) => 1 has been taken from B => B - 1 - C = 8 => B - 1 - 3 = 8 => B = 12 => B = 2 => 1 has been taken from A A - 1 - B = 4 => A - 1 - 2 = 4 => A = 7 8 -A = D => 8 - 7 = D => D = 1 8723 - 7235 ______ 1488 A = 7 B = 2 C = 3 D = 1 Learn More: Find the value of A where A is a digit 1a+a=9a - Brainly.in brainly.in/question/14478346 square root of abcdefghi,where a.........i are digits, will CONTAIN x digits ... brainly.in/question/15059590 brainly.in/question/12977056

5.

Find the values of a,b,c and d in the following subtraction. 8 a b c - a b c 5

Answer»

Given : 8 A B C - A B C 5= D488

To find : Value of A , B , C & D

Solution:

Complete QUESTION is

8 A B C

- A B C 5

________

D 4 8 8

C - 5 = 8

=> C = 3 (as 13 - 5 = 8)

=> 1 has been taken from B

=> B - 1 - C = 8

=> B - 1 - 3 = 8

=> B = 12 => B = 2

=> 1 has been taken from A

A - 1 - B = 4

=> A - 1 - 2 = 4

=> A = 7

8 -A = D

=> 8 - 7 = D

=> D = 1

8723

- 7235

______

1488

A = 7 B = 2 C = 3 D = 1

Learn More:

Find the value of A where A is a digit 1a+a=9a - Brainly.in

brainly.in/question/14478346

square root of abcdefghi,where a.........i are digits, will CONTAIN x digits ...

brainly.in/question/15059590

brainly.in/question/12977056

Discussion

6.	What is arithmetic progression
Answer» HEY.... ARITHMETIC PROGRESSION is an sequence of numbers which DIFFER from each other by a common differences *Hope* it *HELPS* u❤️✨

6.

What is arithmetic progression

Answer»

HEY....

ARITHMETIC PROGRESSION is an sequence of numbers which DIFFER from each other by a common differences

Hope it HELPS u❤️✨

Discussion

7.	Use factor theorem to determine the value of k for which x + 2 is a factor of (x+1)' + (2x + k)
Answer» ANSWER: K = 3 Step-by-step EXPLANATION: It WOULD be the answer. THANK You.

7.

Use factor theorem to determine the value of k for which x + 2 is a factor of (x+1)' + (2x + k)

Answer»

ANSWER:

K = 3

Step-by-step EXPLANATION:

It WOULD be the answer.

THANK You.

Discussion

8.	Maria makes a fraction using 2 number cards. She says that her fraction is equivalent tohalf. One of her numbers is 10.What could Maria’s fraction be? Is there more than one possible answer? PLEASE ANSWER THE QUESTION
Answer» Answer: MARIA's fraction=5/10 The answer is 5/10=1/2=half There couldn't be any other possible fraction Step-by-step explanation: hope it helps.. PLEASE mark as BRAINLIEST

8.

Maria makes a fraction using 2 number cards. She says that her fraction is equivalent tohalf. One of her numbers is 10.What could Maria’s fraction be? Is there more than one possible answer? PLEASE ANSWER THE QUESTION

Answer»

Answer:

MARIA's fraction=5/10

The answer is 5/10=1/2=half

There couldn't be any other possible fraction

Step-by-step explanation:

hope it helps.. PLEASE mark as BRAINLIEST

Discussion

9.	Q.6 4, 8, 28, 80, 244,?(a) 278(b) 428(c) 628(d) 728
Answer» ANSWER: 428 is the answer of this QUESTION.

9.

Q.6 4, 8, 28, 80, 244,?(a) 278(b) 428(c) 628(d) 728

Answer»

ANSWER:

428 is the answer of this QUESTION.

Discussion

10.	Q38.Which fraction is equal to 0.20%?a. 1/20b. 1/500which action to count 1920*c. 1/40120d 1,400d. 1/400
Answer» Step-by-step EXPLANATION: 0.20% 0.20/100 20/10,000 2/1000 1/500

10.

Q38.Which fraction is equal to 0.20%?a. 1/20b. 1/500which action to count 1920*c. 1/40120d 1,400d. 1/400

Answer»

Step-by-step EXPLANATION:

0.20%

0.20/100

20/10,000

2/1000

1/500

Discussion

11.	Find the sum of integers which divisble by 5from1to100
Answer» ANSWER: SUM= 6000 Step-by-step explanation: Integers DIVISIBLE by 5 between 1 to 100 = 5, 10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,95,100 Sum of the integers= 5+10+15+20+25+30+35+40+45+50+55+60+65+70+75+80+85+90+95+100 =6000

11.

Find the sum of integers which divisble by 5from1to100

Answer»

ANSWER:

SUM= 6000

Step-by-step explanation:

Integers DIVISIBLE by 5 between 1 to 100 = 5, 10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,95,100

Sum of the integers= 5+10+15+20+25+30+35+40+45+50+55+60+65+70+75+80+85+90+95+100

=6000

Discussion

12.	If a water tank whose volume is 100 cubic feet gets filled in 4 minutes, then how many minutes will a water tank with a volume 15 × 15 × 10 cubic feet takes to get field?
Answer» Answer: GIVEN that for 100 CUBIC feet =4 MINUTES then for 15×15×10 cubic feet = ? 15×15×10=2250 2250 cubic feet for 100 cubic feet =4 minutes then 2250 cubic feet = 2250 ÷ 100 × 4 =900 minutes. or 900 ÷ 60 = 15 hours

12.

If a water tank whose volume is 100 cubic feet gets filled in 4 minutes, then how many minutes will a water tank with a volume 15 × 15 × 10 cubic feet takes to get field?

Answer»

Answer:

GIVEN that for 100 CUBIC feet =4 MINUTES then

for 15×15×10 cubic feet = ?

15×15×10=2250

2250 cubic feet

for 100 cubic feet =4 minutes

then 2250 cubic feet = 2250 ÷ 100 × 4 =900 minutes. or 900 ÷ 60 = 15 hours

Discussion

13.	Find five rational number between (-2/3) and 2/3
Answer» ANSWER:SEE the ATTACHMENT for the solution. Step-by-step EXPLANATION: Hope you understood. Pls mark as the BRAINLIEST ans...

13.

Find five rational number between (-2/3) and 2/3

Answer»

ANSWER:SEE the ATTACHMENT for the solution.

Step-by-step EXPLANATION:

Hope you understood.

Pls mark as the BRAINLIEST ans...

Discussion

14.	What is the greatest value of n so 7ⁿ is a factor of 60! ?
Answer» Answer: 0 Step-by-step explanation The factors of 60 are 1,2,3,4,5,6,10,12,15,30,60...CLEARLY no 7 is there.....so 7 to the POWER 0 that is 1 is the only FACTOR

14.

What is the greatest value of n so 7ⁿ is a factor of 60! ?

Answer»

Answer:

0

Step-by-step explanation

The factors of 60 are 1,2,3,4,5,6,10,12,15,30,60...CLEARLY no 7 is there.....so 7 to the POWER 0 that is 1 is the only FACTOR

Discussion

15.	100 थालीं हैं100 बाराती हैंपंडित जी बोले -हम लोगों को दो-दो थालियों में परोसनाठाकुर लोग बोले -हम लोगों को चार - चार थालियों में परोसना जैन बोले- हम एक थाली में चार लोग खा लेंगे सबको परोस भी दिया और ना ही कोई थाली बची....बारात में पंडित , ठाकुर और जैनों की संख्या बताइए ???
Answer» पंडितों की संख्या=30 पंडितों को परोसी गई थाली=60 ठाकुरों की संख्या=6 ठाकुरों को परोसी गई थाली =24 जैनों की संख्या=64 जैनों को परोसी गयी थाली=16. अतः बारात में 30 पंडित, 6 ठाकुर, 64 जैन हैं। Mark as *BRAINLIST* *ANSWER*.

15.

100 थालीं हैं100 बाराती हैंपंडित जी बोले -हम लोगों को दो-दो थालियों में परोसनाठाकुर लोग बोले -हम लोगों को चार - चार थालियों में परोसना जैन बोले- हम एक थाली में चार लोग खा लेंगे सबको परोस भी दिया और ना ही कोई थाली बची....बारात में पंडित , ठाकुर और जैनों की संख्या बताइए ???

Answer»

पंडितों की संख्या=30

पंडितों को परोसी गई थाली=60

ठाकुरों की संख्या=6

ठाकुरों को परोसी गई थाली =24

जैनों की संख्या=64

जैनों को परोसी गयी थाली=16.

अतः बारात में 30 पंडित, 6 ठाकुर, 64 जैन हैं।

Mark as BRAINLIST ANSWER.

Discussion

16.	ਇਸਕ ਦੇ ਚਰਚੇ ਬਹੁਤ ਨੇ ਹੁਸਨ ਤੇ ਪਰਚੇ ਬਹੁਤ ਨੇ, ਵੇਖ ਲਿਆ ਮੈ ਦਿਲ ਲਾ ਕੇ ਸਾਲੇ ਖਰਚੇ ਬਹੁਤ ਨੇ
Answer» ANSWER: I don't KNOW this LANGUAGE DEAR......

16.

ਇਸਕ ਦੇ ਚਰਚੇ ਬਹੁਤ ਨੇ ਹੁਸਨ ਤੇ ਪਰਚੇ ਬਹੁਤ ਨੇ, ਵੇਖ ਲਿਆ ਮੈ ਦਿਲ ਲਾ ਕੇ ਸਾਲੇ ਖਰਚੇ ਬਹੁਤ ਨੇ

Answer»

ANSWER:

I don't KNOW this LANGUAGE DEAR......

Discussion

17.	Write the numerical and literal corfficient of -5/9xpower3y
Answer» ANSWER: NUMERICAL -5/9 LITERAL X.............

17.

Write the numerical and literal corfficient of -5/9xpower3y

Answer»

ANSWER:

NUMERICAL -5/9 LITERAL X.............

Discussion

18.	1. (-12) ×122. (-300)×43. (-14)×(-15)4. 6×(-14)
Answer» 1.-144 2.-1200 3.+210 4.-84 *MARK* IT AS A *BRAINLIEST* ANSWER** ,

18.

1. (-12) ×122. (-300)×43. (-14)×(-15)4. 6×(-14)

Answer»

1.-144

2.-1200

3.+210

4.-84

MARK IT AS A BRAINLIEST ANSWER ,

Discussion

19.	Find the c.s.a of cylinder whose circumference of base is 44cm and heights 10cm
Answer» CIRCUMFERENCE of base of CYLINDER = 44 cm = 2πr = 2 × 22/7 × r = 44/7 × r r = 44 × 7/44 r = 7cm Now, HEIGHT of cylinder,h = 10cm radius of its base,r = 7cm CSA of cylinder = 2πrh = 2 × 22/7 × 7 × 10 = 440cm^2

19.

Find the c.s.a of cylinder whose circumference of base is 44cm and heights 10cm

Answer»

CIRCUMFERENCE of base of CYLINDER = 44 cm = 2πr

= 2 × 22/7 × r

= 44/7 × r

r = 44 × 7/44

r = 7cm

Now, HEIGHT of cylinder,h = 10cm

radius of its base,r = 7cm

CSA of cylinder = 2πrh

= 2 × 22/7 × 7 × 10

= 440cm^2

Discussion

20.	Q.4 - Evaluate:(2+√3)(2-√3)
Answer» ANSWER: 4-3 = 1 is the CORRECT answer

20.

Q.4 - Evaluate:(2+√3)(2-√3)

Answer»

ANSWER:

4-3 = 1 is the CORRECT answer

Discussion

21.	Multiply 11×(-20)×(-8)
Answer» 11×(-20)×(-8) 11×20×8 11×2×8×10 176×10 1760 I HOPE this helps you and PLEASE mark me the Brainliast.

21.

Multiply 11×(-20)×(-8)

Answer»

11×(-20)×(-8)

11×20×8

11×2×8×10

176×10

1760

I HOPE this helps you and PLEASE mark me the Brainliast.

Discussion

22.	If 173x + 197y = 149 and 197x + 173y = 221, then (x, y) =(A) (3,-2) (B) (2, 1)(C) (1, -2)(D) (2, -1)
Answer» d) (2,-1) Step-by-step explanation: easy method is USING trial and error SUBSTITUTE the value of X and y in the equation, and find which satisfy the equation

22.

If 173x + 197y = 149 and 197x + 173y = 221, then (x, y) =(A) (3,-2) (B) (2, 1)(C) (1, -2)(D) (2, -1)

Answer»

d) (2,-1)

Step-by-step explanation:

easy method is USING trial and error SUBSTITUTE the value of X and y in the equation, and find which satisfy the equation

Discussion

23.	Choose the right answer and give the reason
Answer» Answer: 1650 Step-by-step explanation: LET money with him be x 1) the lady gave him 2000 which is fake money with him now is ALSO x 2) got 2000 real money from shopkeeper beside instead of fake money money with him now is x+2000 3) he gave 1650 real money back to lady money with him is x+2000-1650=x+350 4) he gave 2000 real money back to shopkeeper beside money with him now is x+350-2000=x-1650

23.

Choose the right answer and give the reason

Answer»

Answer:

1650

Step-by-step explanation:

LET money with him be x

1) the lady gave him 2000 which is fake

money with him now is ALSO x

2) got 2000 real money from shopkeeper beside instead of fake money

money with him now is x+2000

3) he gave 1650 real money back to lady

money with him is x+2000-1650=x+350

4) he gave 2000 real money back to shopkeeper beside

money with him now is x+350-2000=x-1650

Discussion

24.	Missing rational number in 1/5-3/8+1/3=(1/5+1/3)+(-)
Answer» Answer: 3/8 Explanation: ACCORDING to associative PROPERTY, a+(b+c) = (a+c)+b 1/5+(-3/8)+1/3 = (1/5+1/3)+(-3/8) Hence, the MISSING NUMBER is 3/8.

24.

Missing rational number in 1/5-3/8+1/3=(1/5+1/3)+(-)

Answer»

Answer:

3/8

Explanation:

ACCORDING to associative PROPERTY,

a+(b+c) = (a+c)+b

1/5+(-3/8)+1/3 = (1/5+1/3)+(-3/8)

Hence, the MISSING NUMBER is 3/8.

Discussion

25.	Please solve........
Answer» Angle ABD+ Angle ABC=180°, Angle ABC=180°-125°=55°; Angle ACE+Angle ACB=180°; Angle ACB=180°-130°=50°; Angle ACB+Angle ABC+Angle BAC=Angle BAC=180°-(55°+50°)=180°-105°=75°; Please MARK the ANSWER as BRAINLIEST.

25.

Please solve........

Answer»

Angle ABD+ Angle ABC=180°, Angle ABC=180°-125°=55°; Angle ACE+Angle ACB=180°; Angle ACB=180°-130°=50°; Angle ACB+Angle ABC+Angle BAC=Angle BAC=180°-(55°+50°)=180°-105°=75°; Please MARK the ANSWER as BRAINLIEST.

Discussion

26.	Please explain the problem with process
Answer» ANSWER: The answer is in the ATTACHMENT in the most SIMPLE manner. HOPE it HELPS..

26.

Please explain the problem with process

Answer»

ANSWER:

The answer is in the ATTACHMENT in the most SIMPLE manner. HOPE it HELPS..

Discussion

27.	Solve it...................
Answer» ANSWER: jshFFS lcfaOctsl hdtcylar usoadd rzu

27.

Solve it...................

Answer»

ANSWER:

jshFFS lcfaOctsl

hdtcylar usoadd rzu

Discussion

28.	Prime factorisation of 1771
Answer» Answer: 7 , 11 , 77 , 23 , 1771 Step-by-step explanation: I HOPE it is HELP

28.

Prime factorisation of 1771

Answer»

Answer:

7 , 11 , 77 , 23 , 1771

Step-by-step explanation:

I HOPE it is HELP

Discussion

29.	(a-b) (b-c)+(b-c) (c-a)+(c-a) (a-b)
Answer» ANSWER: -b²-c²-b²+2ab-ba-bc+ac Step-by-step explanation: (a-b) (b-C)+(b-c) (c-a)+(c-a) (a-b) a(b-c)-b(b-c)+b(c-a)-c(c-a)+c(a-b)-a(a-b) ab-ac-b²-bc+bc-ba-c²+ac+ac-bc-a²+ab -b²-c²-b²+2ab-ba-bc+ac *JAI* SHREE KRISHNA

29.

(a-b) (b-c)+(b-c) (c-a)+(c-a) (a-b)

Answer»

ANSWER:

-b²-c²-b²+2ab-ba-bc+ac

Step-by-step explanation:

(a-b) (b-C)+(b-c) (c-a)+(c-a) (a-b)

a(b-c)-b(b-c)+b(c-a)-c(c-a)+c(a-b)-a(a-b)

ab-ac-b²-bc+bc-ba-c²+ac+ac-bc-a²+ab

-b²-c²-b²+2ab-ba-bc+ac

JAI SHREE KRISHNA

Discussion

30.	Need help urgent....
Answer» ANSWER: *SEE The ATTACHMENT My FRIEND.....*

30.

Need help urgent....

Answer»

ANSWER:

SEE The ATTACHMENT My FRIEND.....

Discussion

31.	The definition of sum can you pls answer it fast
Answer» ANSWER: SUM of NUMBERS is also known as addition Hope this will HELP you

31.

The definition of sum can you pls answer it fast

Answer»

ANSWER:

SUM of NUMBERS is also known as addition

Hope this will HELP you

Discussion

32.	Plzz answer plzzz 40 pointsanswer all I will give brainliest please
Answer» Answer: Step-by-step explanation: 1. GIVEN -4 is a root of the equation. (-4)^4+a(-4)^3-19(-4)^2-46(-4)+120=0 256-64a^3-1916+184+120=0 256-64a^3-304+184+120=0 64a^3=256 a^3=4 a=4^1/3 just check the options 2. k(2^4)-11(2^3)+k(2^2)+132+2=0 16k-88+4k+26+2=0 20k-88+28=0 20k=60 k=3 3. -3x/2+1)x^3-6x^2+2x-4(-2x^2/3+32x/9+28/27 x^3-2x^2/3 --------------------------------- -16x^2/3+2x -16x^2/3+20x/9 --------------------------------------------------------- -14x/9-4 -14x/9+28/27 --------------------------------------------------------------------- -136/27 4. x+1 and x-1 are factors of x^2+2ax+b f(1)=1+2a+b=0 2a+b=-1---(1) f(-1)=1-2a+b=0 b-2a=-1--(2) 2b=-2 b=-1 a=0 2a+3b=20+3-1=-3 5. (x-1)(x+2)(x-2) are factors of x^3+ax^2+bx+c f(1)=1+a+b+c=0 a+b+c=-1 6. length*breadth=area length=area/breadth 2x-y)2x^2+3xy-2y^2(x+2y 2x^2-xy ----------------------------- 4xy-2y^2 4xy-2y^2 ----------------------------- 0 =remainder so length is x+2y

32.

Plzz answer plzzz 40 pointsanswer all I will give brainliest please

Answer»

Answer:

Step-by-step explanation:

1. GIVEN -4 is a root of the equation.

(-4)^4+a(-4)^3-19(-4)^2-46(-4)+120=0

256-64a^3-19*16+184+120=0

256-64a^3-304+184+120=0

64a^3=256

a^3=4

a=4^1/3

just check the options

2. k(2^4)-11(2^3)+k(2^2)+13*2+2=0

16k-88+4k+26+2=0

20k-88+28=0

20k=60

k=3

3.

-3x/2+1)x^3-6x^2+2x-4(-2x^2/3+32x/9+28/27

x^3-2x^2/3

---------------------------------

-16x^2/3+2x

-16x^2/3+20x/9

---------------------------------------------------------

-14x/9-4

-14x/9+28/27

---------------------------------------------------------------------

-136/27

4. x+1 and x-1 are factors of x^2+2ax+b

f(1)=1+2a+b=0

2a+b=-1---(1)

f(-1)=1-2a+b=0

b-2a=-1--(2)

2b=-2

b=-1

a=0

2a+3b=2*0+3*-1=-3

5. (x-1)(x+2)(x-2) are factors of x^3+ax^2+bx+c

f(1)=1+a+b+c=0

a+b+c=-1

6. length*breadth=area

length=area/breadth

2x-y)2x^2+3xy-2y^2(x+2y

2x^2-xy

-----------------------------

4xy-2y^2

-----------------------------

0 =remainder

so length is x+2y

Discussion

33.	After allowing a discount of 12% on the marked price of an article it is sold for rupees 880 find its marked price
Answer» LET X be the MARKED PRICE. 12x/100+880=x 880=x-12x/100 880=x(1-12/100). 880=x(22/25) x=88025/22 x=1000. Answer marked* price =1000

33.

After allowing a discount of 12% on the marked price of an article it is sold for rupees 880 find its marked price

Answer»

LET X be the MARKED PRICE. 12x/100+880=x

880=x-12x/100

880=x(1-12/100).

880=x(22/25)

x=880*25/22

x=1000. Answer

marked price =1000

Discussion

34.	A square has an area of 285.61m2.Work out the perimeter of the square.
Answer» Given, AREA of the given square is 285.61 square metre. Solution, for CALCULATING the perimeter of the square we have to calculate the length of one side of the given square. Let,the length of the one side of the square is = x metre ( x = variable) So,the area of the square = x² m² Now, comparing the VALUE of area that we have calculated and the value of the area given in the question,we get the FOLLOWING mathematical equation. x² = 285.61 x = 16.8 So,the length of the square = 16.8 metre The perimeter of the square = (16.8×4) = 67.2 metre Hence,the perimeter of the given square is 67.2 metres.

34.

A square has an area of 285.61m2.Work out the perimeter of the square.

Answer»

Given,

AREA of the given square is 285.61 square metre.

Solution,

for CALCULATING the perimeter of the square we have to calculate the length of one side of the given square.

Let,the length of the one side of the square is = x metre ( x = variable)

So,the area of the square = x² m²

Now, comparing the VALUE of area that we have calculated and the value of the area given in the question,we get the FOLLOWING mathematical equation.

x² = 285.61

x = 16.8

So,the length of the square = 16.8 metre

The perimeter of the square = (16.8×4) = 67.2 metre

Hence,the perimeter of the given square is 67.2 metres.

Discussion

35.	(+7)+(-9)+(0)+(4) solve it
Answer» fuscwuhevbsjbwjek will KEVIN RHI STUDY YELL ZOO oipploii

35.

(+7)+(-9)+(0)+(4) solve it

Answer»

fuscwuhevbsjbwjek will KEVIN RHI STUDY YELL ZOO oipploii

Discussion

36.	In ∆ABC, A = C and B = A + C. Find the measures of the angles of the triangle.
Answer» Answer: clearly A+B+C = 180 ( ANGLE sum PROPERTY) A+(A+C)+A = 180 3A+A= 180 4A=180 A=180/4 A =25° C=A=25° B=25+25=50°

36.

In ∆ABC, A = C and B = A + C. Find the measures of the angles of the triangle.

Answer»

Answer:

clearly

A+B+C = 180 ( ANGLE sum PROPERTY)

A+(A+C)+A = 180

3A+A= 180

4A=180

A=180/4

A =25°

C=A=25°

B=25+25=50°

Discussion

37.	Rationalize the denominator of the given number: us1/√7+2
Answer» Answer: hey frnd see the attachment for answer. After Rationalizing the denominator the final denominator will be 5. I hope U get your answer thnx for asking plzz mark as BRAINLIST...

37.

Rationalize the denominator of the given number: us1/√7+2

Answer»

Answer:

hey frnd see the attachment for answer.

After Rationalizing the denominator the final denominator will be 5.

I hope U get your answer

thnx for asking

plzz mark as BRAINLIST...

Discussion

38.	Q-3Calculate range and quartile deviation from the following table-निम्रलिखित सारणी से विस्तार तथा चतर्थक विचलन की गणना कीजिये-\| Size10-1920-29 30-3940-4950-59 60-69\| Frequency 2 3741147315
Answer» ANSWER: bfjfhfjfhdhdjfhfufhfufheuxhfhksgdgosnebdkdbrodn

38.

Q-3Calculate range and quartile deviation from the following table-निम्रलिखित सारणी से विस्तार तथा चतर्थक विचलन की गणना कीजिये-| Size10-1920-29 30-3940-4950-59 60-69| Frequency 2 3741147315

Answer»

ANSWER:

bfjfhfjfhdhdjfhfufhfufheuxhfhksgdgosnebdkdbrodn

Discussion

39.	3 23utntantsDivided by zIt2ntn
Answer» ANSWER: not UNDERSTANDING QUESTION PROPERLY

39.

3 23utntantsDivided by zIt2ntn

Answer»

ANSWER:

not UNDERSTANDING QUESTION PROPERLY

Discussion

40.	Represent under root 10 on number line
Answer» 3.16227766 is your answer. ☺️☺️

Discussion

41.	the value of a machine depreciates at the rate of 10%if its value is 10,000 what will be its value after 2 years
Answer» Answer: 10%=1000 10000-1000=9000 fr first yr 9000-1000=8000 fr 2ND yr Step-by-step EXPLANATION:

41.

the value of a machine depreciates at the rate of 10%if its value is 10,000 what will be its value after 2 years

Answer»

Answer: 10%=1000

10000-1000=9000 fr first yr

9000-1000=8000 fr 2ND yr

Step-by-step EXPLANATION:

Discussion

42.	Simplify the following 15√16 - √216
Answer» Step-by-step EXPLANATION: √216 = (2×2×2×3×3×3)½ = (2³3³)½ = 6√6 154 - 6√6 60 - 6√6 6(10-√6)

42.

Simplify the following 15√16 - √216

Answer»

Step-by-step EXPLANATION:

√216 = (2×2×2×3×3×3)½

= (2³*3³)½ = 6√6

15*4 - 6√6

60 - 6√6

6(10-√6)

Discussion

43.	Khan and Shoaib decide to take a ratio of their ages. It comes out to be 5:4 respectively. Three years from now, the ratio of their ages will be 11 : 9 respectively. What is Shoaib’s present age in years?
Answer» Given : Khan and Shoaib decide to TAKE a ratio of their ages. It comes out to be 5:4 respectively. Three years from now, the ratio of their ages will be 11 : 9 respectively. To Find : Shoaib’s present AGE in years Solution: Let SAY Shoaib’s present age = 4A Years Then Khan Present age = 5A Years After 3 Years Khan age = 5A + 3 After 3 Years Shoaib’s age = 4A + 3 ratio of their ages 11 : 9 => (5A + 3 ) : ( 4A + 3) = 11 : 9 => 9 (5A + 3) = 11(4A + 3) => 45A + 27 = 44A + 33 => A = 6 Shoaib’s present age = 4A = 24 Years Shoaib’s present age in years = 24 Learn More: the combined age of joshi and jonny is 49 joshi is twice as old as ... brainly.in/question/13949967 Age of a is 20 years LESS than that of b. If age of a is 40% of their ... brainly.in/question/7739131 The AVERAGE ages in years) of persons in groups A, B and C are ... brainly.in/question/13429018

43.

Khan and Shoaib decide to take a ratio of their ages. It comes out to be 5:4 respectively. Three years from now, the ratio of their ages will be 11 : 9 respectively. What is Shoaib’s present age in years?

Answer»

Given : Khan and Shoaib decide to TAKE a ratio of their ages. It comes out to be 5:4 respectively. Three years from now, the ratio of their ages will be 11 : 9 respectively.

To Find : Shoaib’s present AGE in years

Solution:

Let SAY Shoaib’s present age = 4A Years

Then Khan Present age = 5A Years

After 3 Years Khan age = 5A + 3

After 3 Years Shoaib’s age = 4A + 3

ratio of their ages 11 : 9

=> (5A + 3 ) : ( 4A + 3) = 11 : 9

=> 9 (5A + 3) = 11(4A + 3)

=> 45A + 27 = 44A + 33

=> A = 6

Shoaib’s present age = 4A = 24 Years

Shoaib’s present age in years = 24

Learn More:

the combined age of joshi and jonny is 49 joshi is twice as old as ...

brainly.in/question/13949967

Age of a is 20 years LESS than that of b. If age of a is 40% of their ...

brainly.in/question/7739131

The AVERAGE ages in years) of persons in groups A, B and C are ...

brainly.in/question/13429018

Discussion

44.	5y-10degree 4y+15degree find y
Answer» Answer: 5y-10degree 4y+15degree FIND y Step-by-step EXPLANATION:

44.

5y-10degree 4y+15degree find y

Answer»

Answer:

5y-10degree 4y+15degree FIND y

Step-by-step EXPLANATION:

Discussion

45.	Chandigarh=21,shimla=8,solan=6 then kandaghat=?
Answer» ANSWER: ......................................... Step-by-step EXPLANATION:

45.

Chandigarh=21,shimla=8,solan=6 then kandaghat=?

Answer»

ANSWER:

.........................................

Step-by-step EXPLANATION:

Discussion

46.	There are 56 books waiting 8 kg then find the weight of one book
Answer» PLS MARK as the BRAINLIEST PLS PLS

Discussion

47.	Can you make 24 by using nos. 3, 3,8,8. You have to use all four numbers. U can use only following operations.+ - ÷ × &( )
Answer» Answer: 8/(3-(8/3)) = 8/(1/3) = 24 HUH...IT WAS DIFFICULT...BUT HOPE IT HELPS YOU PLS MARK IT AS THE BRAINLIEST ANSWER

47.

Can you make 24 by using nos. 3, 3,8,8. You have to use all four numbers. U can use only following operations.+ - ÷ × &( )

Answer»

Answer:

8/(3-(8/3))

= 8/(1/3)

= 24

HUH...IT WAS DIFFICULT...BUT HOPE IT HELPS YOU PLS MARK IT AS THE BRAINLIEST ANSWER

Discussion

48.	Find the area of a rectangle with length=15cmand breath =8 cm
Answer» Answer: 120CM sq Step-by-step EXPLANATION: AREA of a RECTANGLE = L×B = 15×8 =120cm sq Hope it HELPS you

48.

Find the area of a rectangle with length=15cmand breath =8 cm

Answer»

Answer:

120CM sq

Step-by-step EXPLANATION:

AREA of a RECTANGLE = L×B

= 15×8

=120cm sq

Hope it HELPS you

Discussion

49.	A shopkeeper mixed 2.8 kg of hazelnut with 1/2kg of raisins he packed the mixture equally into 30 packet what is the weight of each packet
Answer» BOSS of the EARTH is here

49.

A shopkeeper mixed 2.8 kg of hazelnut with 1/2kg of raisins he packed the mixture equally into 30 packet what is the weight of each packet

Answer»

BOSS of the EARTH is here

Discussion

50.	(2,5,3,1)=182 and (3,6,4,2)= 266 then (3,5,0,4)=?
Answer» ANSWER: WAT it does MEAN I didn't UNDERSTAND

50.

(2,5,3,1)=182 and (3,6,4,2)= 266 then (3,5,0,4)=?

Answer»

ANSWER:

WAT it does MEAN I didn't UNDERSTAND

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Q. Find the value of(2/3)³+5²​

Can do it by two methods ​

Nine gears are placed on a plane, arranged in a chain as shown below:Can all the gears rotate simultaneously. justify your answer.​

Rationalise the denominator of 3 plus root 3 by 2 plus root 3

Find the values of a,b,c and d in the following subtraction. 8 a b c - a b c 5​

What is arithmetic progression​

HEY....

Hope it HELPS u❤️✨

Use factor theorem to determine the value of k for which x + 2 is a factor of (x+1)' + (2x + k)​

Maria makes a fraction using 2 number cards. She says that her fraction is equivalent tohalf. One of her numbers is 10.What could Maria’s fraction be? Is there more than one possible answer? PLEASE ANSWER THE QUESTION​

Q.6 4, 8, 28, 80, 244,?(a) 278(b) 428(c) 628(d) 728​

Q38.Which fraction is equal to 0.20%?a. 1/20b. 1/500which action to count 1920*c. 1/40120d 1,400d. 1/400​

Find the sum of integers which divisble by 5from1to100​

If a water tank whose volume is 100 cubic feet gets filled in 4 minutes, then how many minutes will a water tank with a volume 15 × 15 × 10 cubic feet takes to get field?​

Find five rational number between (-2/3) and 2/3​

What is the greatest value of n so 7ⁿ is a factor of 60! ?

Mark as BRAINLIST ANSWER.

ਇਸਕ ਦੇ ਚਰਚੇ ਬਹੁਤ ਨੇ ਹੁਸਨ ਤੇ ਪਰਚੇ ਬਹੁਤ ਨੇ, ਵੇਖ ਲਿਆ ਮੈ ਦਿਲ ਲਾ ਕੇ ਸਾਲੇ ਖਰਚੇ ਬਹੁਤ ਨੇ​

Write the numerical and literal corfficient of -5/9xpower3y​

1. (-12) ×122. (-300)×43. (-14)×(-15)4. 6×(-14)​

Find the c.s.a of cylinder whose circumference of base is 44cm and heights 10cm​

Q.4 - Evaluate:(2+√3)(2-√3)​

Multiply 11×(-20)×(-8)​

11×(-20)×(-8)

11×20×8

11×2×8×10

176×10

1760

If 173x + 197y = 149 and 197x + 173y = 221, then (x, y) =(A) (3,-2) (B) (2, 1)(C) (1, -2)(D) (2, -1)​

Choose the right answer and give the reason ​

Missing rational number in 1/5-3/8+1/3=(1/5+1/3)+(-)​

Please solve........ ​

Please explain the problem with process​

Solve it...................

Prime factorisation of 1771​

(a-b) (b-c)+(b-c) (c-a)+(c-a) (a-b)​

JAI SHREE KRISHNA

Need help urgent....​

The definition of sum can you pls answer it fast

Plzz answer plzzz 40 pointsanswer all I will give brainliest please ​

After allowing a discount of 12% on the marked price of an article it is sold for rupees 880 find its marked price

A square has an area of 285.61m2.Work out the perimeter of the square.

(+7)+(-9)+(0)+(4) solve it​

In ∆ABC, A = C and B = A + C. Find the measures of the angles of the triangle.​

Rationalize the denominator of the given number: us1/√7+2​

Q-3Calculate range and quartile deviation from the following table-निम्रलिखित सारणी से विस्तार तथा चतर्थक विचलन की गणना कीजिये-| Size10-1920-29 30-3940-4950-59 60-69| Frequency 2 3741147315​

3 23utntantsDivided by zIt2ntn​

Represent under root 10 on number line ​

the value of a machine depreciates at the rate of 10%if its value is 10,000 what will be its value after 2 years ​

Simplify the following 15√16 - √216

Khan and Shoaib decide to take a ratio of their ages. It comes out to be 5:4 respectively. Three years from now, the ratio of their ages will be 11 : 9 respectively. What is Shoaib’s present age in years?

5y-10degree 4y+15degree find y​

Chandigarh=21,shimla=8,solan=6 then kandaghat=?

There are 56 books waiting 8 kg then find the weight of one book

Can you make 24 by using nos. 3, 3,8,8. You have to use all four numbers. U can use only following operations.+ - ÷ × &( )

Find the area of a rectangle with length=15cmand breath =8 cm

A shopkeeper mixed 2.8 kg of hazelnut with 1/2kg of raisins he packed the mixture equally into 30 packet what is the weight of each packet

(2,5,3,1)=182 and (3,6,4,2)= 266 then (3,5,0,4)=?

Q. Find the value of(2/3)³+5²

Can do it by two methods

Nine gears are placed on a plane, arranged in a chain as shown below:Can all the gears rotate simultaneously. justify your answer.

Find the values of a,b,c and d in the following subtraction. 8 a b c - a b c 5

What is arithmetic progression

Use factor theorem to determine the value of k for which x + 2 is a factor of (x+1)' + (2x + k)

Maria makes a fraction using 2 number cards. She says that her fraction is equivalent tohalf. One of her numbers is 10.What could Maria’s fraction be? Is there more than one possible answer? PLEASE ANSWER THE QUESTION

Q.6 4, 8, 28, 80, 244,?(a) 278(b) 428(c) 628(d) 728

Q38.Which fraction is equal to 0.20%?a. 1/20b. 1/500which action to count 1920*c. 1/40120d 1,400d. 1/400

Find the sum of integers which divisble by 5from1to100

If a water tank whose volume is 100 cubic feet gets filled in 4 minutes, then how many minutes will a water tank with a volume 15 × 15 × 10 cubic feet takes to get field?

Find five rational number between (-2/3) and 2/3

ਇਸਕ ਦੇ ਚਰਚੇ ਬਹੁਤ ਨੇ ਹੁਸਨ ਤੇ ਪਰਚੇ ਬਹੁਤ ਨੇ, ਵੇਖ ਲਿਆ ਮੈ ਦਿਲ ਲਾ ਕੇ ਸਾਲੇ ਖਰਚੇ ਬਹੁਤ ਨੇ

Write the numerical and literal corfficient of -5/9xpower3y

1. (-12) ×122. (-300)×43. (-14)×(-15)4. 6×(-14)

Find the c.s.a of cylinder whose circumference of base is 44cm and heights 10cm

Q.4 - Evaluate:(2+√3)(2-√3)

Multiply 11×(-20)×(-8)

If 173x + 197y = 149 and 197x + 173y = 221, then (x, y) =(A) (3,-2) (B) (2, 1)(C) (1, -2)(D) (2, -1)

Choose the right answer and give the reason

Missing rational number in 1/5-3/8+1/3=(1/5+1/3)+(-)

Please solve........

Please explain the problem with process

Prime factorisation of 1771

(a-b) (b-c)+(b-c) (c-a)+(c-a) (a-b)

Need help urgent....

Plzz answer plzzz 40 pointsanswer all I will give brainliest please

(+7)+(-9)+(0)+(4) solve it

In ∆ABC, A = C and B = A + C. Find the measures of the angles of the triangle.

Rationalize the denominator of the given number: us1/√7+2

Q-3Calculate range and quartile deviation from the following table-निम्रलिखित सारणी से विस्तार तथा चतर्थक विचलन की गणना कीजिये-| Size10-1920-29 30-3940-4950-59 60-69| Frequency 2 3741147315

3 23utntantsDivided by zIt2ntn

Represent under root 10 on number line

the value of a machine depreciates at the rate of 10%if its value is 10,000 what will be its value after 2 years

5y-10degree 4y+15degree find y