98971 + Interview Questions in Primary School in Math

1.	Hi pls answer all 3 questions pls pls
Answer» Step-by-step EXPLANATION: a)x+5=0 x=-5 b)cx+d=0 cx=-d x=-d÷c

1.

Hi pls answer all 3 questions pls pls

Answer»

Step-by-step EXPLANATION:

a)x+5=0

x=-5

b)cx+d=0

cx=-d

x=-d÷c

Discussion

2.	18 x [7 +(-3)] = [18 x 7] + [18 X (-3)](-21)× [(-4)+(-6)]=[(-21) × (- 4)] + [(-21) (-6)
Answer» 72=126+(-54) 72=72 84-6=84×-4+(-21)(-6) 78=336+(-21)(-6) 78=315-6 78 is not 309....

2.

18 x [7 +(-3)] = [18 x 7] + [18 X (-3)](-21)× [(-4)+(-6)]=[(-21) × (- 4)] + [(-21) (-6)

Answer»

72=126+(-54)

72=72

84-6=84×-4+(-21)(-6)

78=336+(-21)(-6)

78=315-6

78 is not 309....

Discussion

3.	Explain the chapter complex number ?
Answer» Step-by-step explanation: A COMPLEX NUMBER is a number that can be expressed in the FORM a + BI, where a and b are real numbers, and i is a solution of the equation x² = −1. Because no real number satisfies this equation, i is called an IMAGINARY number.

3.

Explain the chapter complex number ?

Answer»

Step-by-step explanation:

A COMPLEX NUMBER is a number that can be expressed in the FORM a + BI, where a and b are real numbers, and i is a solution of the equation x² = −1. Because no real number satisfies this equation, i is called an IMAGINARY number.

Discussion

4.	Ifthen find the value of1)2)3)Please urgent
Answer» Answer: FIRST we have to RATIONALIZE the denominator Step-by-step explanation: X = 2+√3 then rationalize that is GIVEN by me in the image

4.

Ifthen find the value of1)2)3)Please urgent

Answer»

Answer:

FIRST we have to RATIONALIZE the denominator

Step-by-step explanation:

X = 2+√3

then rationalize that is GIVEN by me in the image

Discussion

5.	Solve the following system of equations7x-8y=11.8x-7y=7
Answer» 7x-11.8x=-7y+8y=7 baaki do URSELF

5.

Solve the following system of equations7x-8y=11.8x-7y=7

Answer»

7x-11.8x=-7y+8y=7

baaki do URSELF

Discussion

6.	(B) one solution(C) two solutions(D) infinite solutionsIf (2? +2 - 2)x2 + (a + 2) x < 1 for all x € R, then a belongs to the interval(A) (-2, 1)(B)(-2.3)CE1)() none of these.(D) none of these
Answer» What is your QUESTION i can't UNDERSTAND..

Discussion

7.	How many seconds are there in 3/ 4 of 3 hours with explanation
Answer» Answer: 200 SEC Step-by-step EXPLANATION: i THINK if its WRONG sorry forgive me

7.

How many seconds are there in 3/ 4 of 3 hours with explanation

Answer»

Answer:

200 SEC

Step-by-step EXPLANATION:

i THINK if its WRONG sorry

forgive me

Discussion

8.	Solve with proper explanation, do not give absurd reasons
Answer» D. 45 will be the ANSWER of this QUESTION

8.

Solve with proper explanation, do not give absurd reasons

Answer»

D. 45 will be the ANSWER of this QUESTION

Discussion

9.	Following data gives the information on the observed lifetime (in hrs) of 225 electrical components:Liftimes (in hrs) 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-50Frequency 49 133 63 15 6 7 4 2 1Find the modal lifetimes of the components.
Answer» ANSWER: MARK me as BRAINLIEST PLEASE

9.

Following data gives the information on the observed lifetime (in hrs) of 225 electrical components:Liftimes (in hrs) 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-50Frequency 49 133 63 15 6 7 4 2 1Find the modal lifetimes of the components.

Answer»

ANSWER:

MARK me as BRAINLIEST PLEASE

Discussion

10.	Find the smallest number to be subtracted from 330 to make it a perfect square.
Answer» 330.... ..... ... ... .........

10.

Find the smallest number to be subtracted from 330 to make it a perfect square.

Answer»

330....

.....

...

.........

Discussion

11.	Draw a square not spiral of root 2 ,3-------15
Answer» ANSWER: Just do LIKE this and U will GET the answer Step-by-step EXPLANATION:

11.

Draw a square not spiral of root 2 ,3-------15

Answer»

ANSWER: Just do LIKE this and U will GET the answer

Step-by-step EXPLANATION:

Discussion

12.	Riya's uncle is 5 more than 2 time Riya's age. Write an equation to find Riya's age give thatuncle is 55 years old. Find Riya's age.
Answer» Answer: Hii Here is your answer Step-by-step explanation: LETS Riya's AGE be x years So her UNCLE's age will be 2x+5 Given that uncle's age is 55 2x+5=55 2x=50 x=25 Riya is 25 year OLD.. Hope this will help you ❤

12.

Riya's uncle is 5 more than 2 time Riya's age. Write an equation to find Riya's age give thatuncle is 55 years old. Find Riya's age.

Answer»

Answer:

Hii

Here is your answer

Step-by-step explanation:

LETS Riya's AGE be x years

So her UNCLE's age will be 2x+5

Given that uncle's age is 55

2x+5=55

2x=50

x=25

Riya is 25 year OLD..

Hope this will help you ❤

Discussion

13.	The area of a parallelogram is 1196 cm square and its altitude is twice the corresponding base. Find the altitude of the parallelogram.
Answer» ANSWER: area= 1÷2× BASE × altitude 1196 =(1÷2)×a× 2A (let base is a CM 1196 = a^2 34 cm = a Step-by-step EXPLANATION: so altitude is68 cm

13.

The area of a parallelogram is 1196 cm square and its altitude is twice the corresponding base. Find the altitude of the parallelogram.

Answer»

ANSWER:

area= 1÷2× BASE × altitude

1196 =(1÷2)×a× 2A (let base is a CM

1196 = a^2

34 cm = a

Step-by-step EXPLANATION:

so altitude is68 cm

Discussion

14.	If A + B means A is the mother of B,A-B means A is the brother of B,A%B means A is the fatherof B and A x B means A is the sister of B. Which of the following shows that P is the maternal uncleof Q?(B) P+S N-Q(A) Q-N-M P(D) Q-S%P(C) P-M+NxQ
Answer» <P>Answer: P - M → P is the brother of M M + N → M is the mother of N N x Q → N is the sister of Q Therefore, P is the maternal uncle of Q. Option C) P - M + N x Q is correct. Step-by-step explanation: PLEASE MARK MY ANSWER AS A BRAINLIEST ANSWER...I AM IN NEED OF THAT FOLLOW ME FRIENDS

14.

If A + B means A is the mother of B,A-B means A is the brother of B,A%B means A is the fatherof B and A x B means A is the sister of B. Which of the following shows that P is the maternal uncleof Q?(B) P+S N-Q(A) Q-N-M P(D) Q-S%P(C) P-M+NxQ

Answer»

<P>Answer:

P - M → P is the brother of M

M + N → M is the mother of N

N x Q → N is the sister of Q

Therefore, P is the maternal uncle of Q.

Option C) P - M + N x Q is correct.

Step-by-step explanation:

PLEASE MARK MY ANSWER AS A BRAINLIEST ANSWER...I AM IN NEED OF THAT

FOLLOW ME FRIENDS

Discussion

15.	Pls answer it fast it's request
Answer» ANSWER: wanna this help U as REQUESTED

15.

Pls answer it fast it's request

Answer»

ANSWER:

wanna this help U as REQUESTED

Discussion

16.	Solve ((x+2)^3 (2x-3)^4)/(9x^2-4)≥0
Answer» ANSWER: Step-by-step EXPLANATION:

16.

Solve ((x+2)^3 (2x-3)^4)/(9x^2-4)≥0

Answer»

ANSWER:

Step-by-step EXPLANATION:

Discussion

17.	(x+1/x)(x-1/x)(x²+1/x?)(x4-1/x4) find the product using identities.
Answer» HEY MATE, here's your ANSWER.

17.

(x+1/x)(x-1/x)(x²+1/x?)(x4-1/x4) find the product using identities.

Answer»

HEY MATE, here's your ANSWER.

Discussion

18.	Find its product using identities
Answer» Answer: sorry, but your question are half in picture Step-by-step EXPLANATION: and I can't see the picture you give full picture of question then I HELP you

18.

Find its product using identities

Answer»

Answer:

sorry, but your question are half in picture

Step-by-step EXPLANATION:

and I can't see the picture

you give full picture of question then I HELP you

Discussion

19.	If I were a Computer
Answer» Answer: If I was a COMPUTER. If I was a computer, I WOULD never be WRONG in mathematics. I could EASILY solve the questions within seconds. My mind would become fast and I'd become SMART. I would never have any tension about getting an answer wrong or failing a test. I would help people in making important documents and presentations, lists, collecting data and a lot more! It's always a pleasure to help people. I'd have all the latest and interesting news. The people will take care of me by charging me regularly, keeing me safely. They would take charge of me and give money whenever I couldn't function.

19.

If I were a Computer

Answer»

Answer:

If I was a COMPUTER.

If I was a computer, I WOULD never be WRONG in mathematics. I could EASILY solve the questions within seconds. My mind would become fast and I'd become SMART. I would never have any tension about getting an answer wrong or failing a test. I would help people in making important documents and presentations, lists, collecting data and a lot more! It's always a pleasure to help people. I'd have all the latest and interesting news. The people will take care of me by charging me regularly, keeing me safely. They would take charge of me and give money whenever I couldn't function.

Discussion

20.	❣️❣️❣️‍♀️ HEY GUYS. ENJOYING THE SUMMER BREAK.GET READY FOR A QUICK QUESTION..HERE IT ISTHIS IS MY HOLIDAYS HOMEWORK AND I AM NOT ABLE TO MAKE IT OUT. I AM NOT ABLE TO UNDERSTAND THE STATEMENT.PLEASE ANSWER MATES PLEASE MATES ❣️❣️❣️❣️
Answer» ANSWER: false false hope it HELPS

20.

❣️❣️❣️‍♀️ HEY GUYS. ENJOYING THE SUMMER BREAK.GET READY FOR A QUICK QUESTION..HERE IT ISTHIS IS MY HOLIDAYS HOMEWORK AND I AM NOT ABLE TO MAKE IT OUT. I AM NOT ABLE TO UNDERSTAND THE STATEMENT.PLEASE ANSWER MATES PLEASE MATES ❣️❣️❣️❣️

Answer»

ANSWER:

false

hope it HELPS

Discussion

21.	A man purchases 8 pens for Rs9 and sells 9 pensfor rupees 8. How much profit or loss does hemake?
Answer» Answer: LOSS of ₹1.89/pen Step-by-step EXPLANATION: C.P. of 8 pens = ₹9 C.P. of 1 pen = 9/8 S.P. of 9 pens = ₹8 S.P. of 1 pen = 8/9 9/8 > 8/9 CP > SP Therefore, he is at loss Loss = CP - SP = 9/8 - 8/9 = 81 - 64/9 = 17/9 = ₹1.89/pen (approx.) Hope I helped

21.

A man purchases 8 pens for Rs9 and sells 9 pensfor rupees 8. How much profit or loss does hemake?

Answer»

Answer:

LOSS of ₹1.89/pen

Step-by-step EXPLANATION:

C.P. of 8 pens = ₹9

C.P. of 1 pen = 9/8

S.P. of 9 pens = ₹8

S.P. of 1 pen = 8/9

9/8 > 8/9

CP > SP

Therefore, he is at loss

Loss = CP - SP

= 9/8 - 8/9

= 81 - 64/9

= 17/9 = ₹1.89/pen (approx.)

Hope I helped

Discussion

22.	The area of a rectangle is 460 sq. cm. If the length is 15% more than the beradth .What is the breadth of the rectangle
Answer» Let the BREADTH be x. So length would be x + 15X/100 = (100x + 15x)/100 = 115x/100 = 23x/20 Area = 460 x(23x/20) = 460 23x²/20 = 460 23x² = 460 × 20 x² = 9200/23 = 400 x = √400 = 20cm 23x/20 = 23(20)/20 = 23cm Therefore, Length and breadth of the rectangle are 20cm and 23cm respectively. Hope it HELPS!!! :)

22.

The area of a rectangle is 460 sq. cm. If the length is 15% more than the beradth .What is the breadth of the rectangle

Answer»

Let the BREADTH be x. So length would be x + 15X/100 = (100x + 15x)/100 = 115x/100 = 23x/20

Area = 460

x(23x/20) = 460

23x²/20 = 460

23x² = 460 × 20

x² = 9200/23 = 400

x = √400 = 20cm

23x/20 = 23(20)/20 = 23cm

Therefore, Length and breadth of the rectangle are 20cm and 23cm respectively.

Hope it HELPS!!! :)

Discussion

23.	Please help me with this math problem. I think the question is wrong. The questions are passage 2: 1,2 questions.
Answer» ANSWER: Step-by-step EXPLANATION:

23.

Please help me with this math problem. I think the question is wrong. The questions are passage 2: 1,2 questions.

Answer»

ANSWER:

Step-by-step EXPLANATION:

Discussion

24.	Find the square of the sum of the roots of the equation: Please Check.....Answer is: 3721
Answer» ANSWER: The answer is right. PLS MARK AS BRAINLIEST

24.

Find the square of the sum of the roots of the equation: Please Check.....Answer is: 3721

Answer»

ANSWER:

The answer is right.

PLS MARK AS BRAINLIEST

Discussion

25.	Can a quadratic equation ax^2 + bx=0 have non real roots? Give reasons.
Answer» ANSWER: YES it can have Step-by-step EXPLANATION: . . . . HOPE it HELPS you

25.

Can a quadratic equation ax^2 + bx=0 have non real roots? Give reasons.

Answer»

ANSWER:

YES it can have

Step-by-step EXPLANATION:

.

HOPE it HELPS you

Discussion

26.	Answer it fast.......pls its request
Answer» Answer: 2x² +X +1 divisor is x -17 STEP 1. taking quotient as 2x so , 2x² +-2x² = 0 x - +34x = 35 step 2. quotient as 35 35X +-35x = 0 1-+ 595= 596 quotient - 2x +33 remainder - 596

26.

Answer it fast.......pls its request

Answer»

Answer:

2x² +X +1 divisor is x -17

STEP 1. taking quotient as 2x

so , 2x² +-2x² = 0

x - +34x = 35

step 2. quotient as 35

35X +-35x = 0

1-+ 595= 596

quotient - 2x +33

remainder - 596

Discussion

27.	Answer it fast Pls It's Request
Answer» ANSWER: HOPE it is HELPFUL to you

27.

Answer it fast Pls It's Request

Answer»

ANSWER:

HOPE it is HELPFUL to you

Discussion

28.	Hi Answer it fastPls It's Request
Answer» ANSWER: this PIC will SURELY HELP U

28.

Hi Answer it fastPls It's Request

Answer»

ANSWER:

this PIC will SURELY HELP U

Discussion

29.	Can someone tell me the answer to this
Answer» Answer: 1.48 Step-by-step EXPLANATION:

29.

Can someone tell me the answer to this

Answer»

Answer:

1.48

Step-by-step EXPLANATION:

Discussion

30.	Please answer the question it is regarding factorisation
Answer» ANSWER: a Step-by-step EXPLANATION: answer is 3(m+1)(m+2)

30.

Please answer the question it is regarding factorisation

Answer»

ANSWER:

a

Step-by-step EXPLANATION:

answer is

3(m+1)(m+2)

Discussion

31.	What is the division problem represented by this model?0.60 ÷ 150.60 ÷ 40.50 ÷ 40.50 ÷ 15
Answer» Answer: 0.60 ÷ 4 Step-by-step explanation: Each ROW REPRESENTS 0.10 so 6 rows are colored in making the total 0.60. There are 4 colors, YELLOW, green, LIGHT blue, and dark blue making it 0.60 ÷ 4.

31.

What is the division problem represented by this model?0.60 ÷ 150.60 ÷ 40.50 ÷ 40.50 ÷ 15

Answer»

Answer:

0.60 ÷ 4

Step-by-step explanation:

Each ROW REPRESENTS 0.10 so 6 rows are colored in making the total 0.60. There are 4 colors, YELLOW, green, LIGHT blue, and dark blue making it 0.60 ÷ 4.

Discussion

32.	A paper is in the form of a rectangle PQRS in whichPQ = 10 cm and QR = 7 cm. Two semi-circular portionswith QR and PS as diameters are cut off (As shown infigure 11.22). Find the area of the remaining part.
Answer» ANSWER: reasnind 1,1,2,6,24,?

32.

A paper is in the form of a rectangle PQRS in whichPQ = 10 cm and QR = 7 cm. Two semi-circular portionswith QR and PS as diameters are cut off (As shown infigure 11.22). Find the area of the remaining part.

Answer»

ANSWER:

reasnind 1,1,2,6,24,?

Discussion

33.	Cos²a+ tan^2 - 1 / sin^2 = tan ²Afastttt
Answer» Answer: We KNOW that cos2x+sin2x=1 (Identity) Divide LHS of the GIVEN EXPRESSION by the above identity We have (cos2x−sin2x)/(cos2x+sin2x) ——— 1 Now divide expression 1 above by cos2x and you have the expression on the RHS = (1−tan2x)/(1+tan2x Step-by-step explanation: please MARK me as brainlist

33.

Cos²a+ tan^2 - 1 / sin^2 = tan ²Afastttt

Answer»

Answer:

We KNOW that cos2x+sin2x=1 (Identity)

Divide LHS of the GIVEN EXPRESSION by the above identity

We have (cos2x−sin2x)/(cos2x+sin2x) ——— 1

Now divide expression 1 above by cos2x and you have the expression on the RHS = (1−tan2x)/(1+tan2x

Step-by-step explanation:

please MARK me as brainlist

Discussion

34.	If 2/7th of a number is 3 less than 1/2the number, then what is the number. Pls give calculation
Answer» REFER TO THE ATTACHMENT

Discussion

35.	Check whether or not the value given in the bracket is a solution to the given equatio
Answer» ANSWER: No, the VALUE given in BRACKETS is not the SOLUTION of the equation. Step-by-step explanation: a/20=4 a=20*4 a=80 which is not equal to 60 Hope it helps!!!!

35.

Check whether or not the value given in the bracket is a solution to the given equatio

Answer»

ANSWER:

No, the VALUE given in BRACKETS is not the SOLUTION of the equation.

Step-by-step explanation:

a/20=4

a=20*4

a=80 which is not equal to 60

Hope it helps!!!!

Discussion

36.	21. fo the given figure, ABCD is a rectangle with length - 36 m and breadth = 24EF I AD and EF-15 m. Calculate the area of the shaded region.
Answer» ANSWER: AREA of TRIANGLE = l × b ÷2 =36×24 =864÷2 =432 cm^2

36.

21. fo the given figure, ABCD is a rectangle with length - 36 m and breadth = 24EF I AD and EF-15 m. Calculate the area of the shaded region.

Answer»

ANSWER:

AREA of TRIANGLE = l × b ÷2

=36×24

=864÷2

=432 cm^2

Discussion

37.	Cos²A+ tan A - 1 / sinA=tan 2Asolve it fastt please
Answer» Step-by-step EXPLANATION: L.H.S. = 1+sinA COSA +tanA = 1+sinA cosA + cosA sinA = (1+sinA)cosA cos 2 A+sinA(1+sinA) = (1+sinA)(cosA) cos 2 A+sinA+sin 2 A = (1+sinA)cosA 1+sinA = cosA 1 =SECA= R.H.S.

37.

Cos²A+ tan A - 1 / sinA=tan 2Asolve it fastt please

Answer»

Step-by-step EXPLANATION:

L.H.S. =

1+sinA

COSA

+tanA

=

1+sinA

cosA

+

cosA

sinA

=

(1+sinA)cosA

cos

2

A+sinA(1+sinA)

=

(1+sinA)(cosA)

cos

2

A+sinA+sin

2

A

=

(1+sinA)cosA

1+sinA

=

cosA

1

=SECA= R.H.S.

Discussion

38.	Rahul has bought 6l 475 ml of orange juice and 7l 750ml of mango juice for the party. find the quantity of juice that he bought
Answer» Step-by-step EXPLANATION: z00 M, Id:6849304329, P:12345

38.

Rahul has bought 6l 475 ml of orange juice and 7l 750ml of mango juice for the party. find the quantity of juice that he bought

Answer»

Step-by-step EXPLANATION:

z00 M, Id:6849304329, P:12345

Discussion

39.	Add :(0) 0.5 and 0.37
Answer» $\huge \purple{\fbox \red{\fbox\pink{\fbox\red{ANSWER: - }}}}$ 0.87

39.

Add :(0) 0.5 and 0.37

Answer»

$\huge \purple{\fbox \red{\fbox\pink{\fbox\red{ANSWER: - }}}}$

0.87

Discussion

40.	87.The sum of two angles in a triangle is 95º and their difference is 25°. Then the angles of thetriangle.(A) 75°, 50°, 55(B) 85°, 65°, 30°(C) 50°, 45°, 85°(D) 60°, 35°, 85°
Answer» ANSWER: OPTION D✓✓ A+B = 95° A-B = 25° THEREFORE , A= 60° , B = 35° A+B+C= 180° so C = 85°

40.

87.The sum of two angles in a triangle is 95º and their difference is 25°. Then the angles of thetriangle.(A) 75°, 50°, 55(B) 85°, 65°, 30°(C) 50°, 45°, 85°(D) 60°, 35°, 85°

Answer»

ANSWER:

OPTION D✓✓

A+B = 95°

A-B = 25°

THEREFORE , A= 60° , B = 35°

A+B+C= 180°

so C = 85°

Discussion

41.	Solve the following equations by trial and error method 6n=30
Answer» Step-by-step explanation: 6n = 30 n = 30/6 n= 5 Hope it HELPS

41.

Solve the following equations by trial and error method 6n=30

Answer»

Step-by-step explanation:

6n = 30

n = 30/6

n= 5

Hope it HELPS

Discussion

42.	Simplify anyone tell
Answer» Answer: 5 _ 4 Step-by-step EXPLANATION:

42.

Simplify anyone tell

Answer»

Answer:

5

_

4

Step-by-step EXPLANATION:

Discussion

43.	the ages of A and B are in the ratio 8 : 3 . after 6 years hence their ages will be in the ratio 9:4 find their present ages ?
Answer» GIVEN : Ages of A and B are in the ratio $\rm \: 8:3$ After $\rm\red {6 \: years}$ , their ages will be in the ratio $\rm \: 9:4$ To Find : Their present ages. Calculation : Let, The present age of A be 8x The present age of B be 3x $\underline{ \bf {After \: 6 \: years, }}$ A's age will be 8x + 6 B's age will be 3x + 6 $\dag$ According to the QUESTION, $\bullet \: \: \bf \dfrac{8x + 6}{3x + 6} \: = \dfrac{9}{4}$ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ $\longrightarrow \rm \: 4 \: (3x + 6) = 9 \: (8x + 6) \\ \\ \\ \longrightarrow \rm \: 12x + 24 = 27 - 54 \\ \\ \\ \longrightarrow \rm \: 5x = 30 \\ \\ \\ \longrightarrow \rm \: x = \cancel \dfrac{30}{5} \\ \\ \\ \longrightarrow \boxed {\frak{ \red{x = 6}}} \star$ HENCEFORTH, A's age will be $\rm \: 8x$ $\longrightarrow \rm 8 \times 6 \\ \\ \\ \longrightarrow \boxed{\rm { \pink{48 \: years}}} \star$ B's age will be $\rm \: 3x$ $\longrightarrow \rm 3 \times 6 \\ \\ \\ \longrightarrow \boxed{\rm { \purple{18 \: years}}} \star$ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ Therefore, A's present age = $\bf\pink {48 \: years }$ B's present age = $\bf\purple {18 \: years}$

43.

the ages of A and B are in the ratio 8 : 3 . after 6 years hence their ages will be in the ratio 9:4 find their present ages ?

Answer»

GIVEN :

Ages of A and B are in the ratio $\rm \: 8:3$

After $\rm\red {6 \: years}$ , their ages will be in the ratio $\rm \: 9:4$

To Find :

Their present ages.

Calculation :

Let,

The present age of A be 8x
The present age of B be 3x

$\underline{ \bf {After \: 6 \: years, }}$

A's age will be 8x + 6
B's age will be 3x + 6

$\dag$ According to the QUESTION,

$\bullet \: \: \bf \dfrac{8x + 6}{3x + 6} \: = \dfrac{9}{4}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \rm \: 4 \: (3x + 6) = 9 \: (8x + 6) \\ \\ \\ \longrightarrow \rm \: 12x + 24 = 27 - 54 \\ \\ \\ \longrightarrow \rm \: 5x = 30 \\ \\ \\ \longrightarrow \rm \: x = \cancel \dfrac{30}{5} \\ \\ \\ \longrightarrow \boxed {\frak{ \red{x = 6}}} \star$

HENCEFORTH,

A's age will be $\rm \: 8x$

$\longrightarrow \rm 8 \times 6 \\ \\ \\ \longrightarrow \boxed{\rm { \pink{48 \: years}}} \star$

B's age will be $\rm \: 3x$

$\longrightarrow \rm 3 \times 6 \\ \\ \\ \longrightarrow \boxed{\rm { \purple{18 \: years}}} \star$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

A's present age = $\bf\pink {48 \: years }$
B's present age = $\bf\purple {18 \: years}$

Discussion

44.	If the difference between the compound interest andsimple interest for 2 years at 12%p.a. compounded annually isRs108, find the sum borrowed.
Answer» <P>Rs. 7500 Step-by-step explanation: Let the sum borrowed was P Here Time = 2 years and Rate = 12% PER ANNUM COMPOUNDED annually Lets Find Compound Interest We know that CI=P[1+\frac{12}{100}]^2-PCI=P[1+ 100 12 ] 2 −P CI=P[\frac{112}{100}]^2-PCI=P[ 100 112 ] 2 −P CI=P[\frac{28}{25}]^2-PCI=P[ 25 28 ] 2 −P CI=P[\frac{784}{625}]-PCI=P[ 625 784 ]−P CI=[\frac{159P}{625}]CI=[ 625 159P ] ------- ( i ) Now Simple Interest SI = (P × R × n)/100 SI = ( P × 12 × 2)/100 SI = 6P/25 ---- (ii ) According to Question CI - SI = 108 Putting values of CI and SI from ( i ) and ( ii ) [\frac{159P}{625}]-\frac{6P}{25}=108[TEX] < /p > < p > [tex]\frac{9P}{625} = 108[ 625 159P ]− 25 6P =108[tex] [tex] 625 9P =108 P=\frac{108\times625}{9}P= 9 108×625 P = 7500 ∴ Sum borrowed was Rs. 7500

44.

If the difference between the compound interest andsimple interest for 2 years at 12%p.a. compounded annually isRs108, find the sum borrowed.

Answer»

<P>Rs. 7500

Step-by-step explanation:

Let the sum borrowed was P

Here Time = 2 years and Rate = 12% PER ANNUM COMPOUNDED annually

Lets Find Compound Interest

We know that

CI=P[1+\frac{12}{100}]^2-PCI=P[1+

100

12

]

2

−P

CI=P[\frac{112}{100}]^2-PCI=P[

100

112

]

2

−P

CI=P[\frac{28}{25}]^2-PCI=P[

25

28

]

2

−P

CI=P[\frac{784}{625}]-PCI=P[

625

784

]−P

CI=[\frac{159P}{625}]CI=[

625

159P

] ------- ( i )

Now Simple Interest

SI = (P × R × n)/100

SI = ( P × 12 × 2)/100

SI = 6P/25 ---- (ii )

According to Question CI - SI = 108

Putting values of CI and SI from ( i ) and ( ii )

[\frac{159P}{625}]-\frac{6P}{25}=108[TEX] < /p > < p > [tex]\frac{9P}{625} = 108[

625

159P

]−

25

6P

=108[tex]

[tex]

625

9P

=108

P=\frac{108\times625}{9}P=

9

108×625

P = 7500

∴ Sum borrowed was Rs. 7500

Discussion

45.	Find the area of the Rhombus,if its diagonals are 36cm and 43cm.
Answer» Answer: AREA of rohumbus - 1/2sum of diagonal 1/2 36+43 1/2*79 79/2 38.5

45.

Find the area of the Rhombus,if its diagonals are 36cm and 43cm.

Answer»

Answer:

AREA of rohumbus - 1/2*sum of diagonal

1/2* 36+43

1/2*79

79/2

38.5

Discussion

46.	In any circle, the measure of the _____ is the greatest.a) circumferenceb) diameterc) radiusd) chord
Answer» →Answers : In any CIRCLE, the MEASURE of the CIRCUMFERENCE is the GREATEST.

46.

In any circle, the measure of the _____ is the greatest.a) circumferenceb) diameterc) radiusd) chord

Answer»

→Answers :

In any CIRCLE, the MEASURE of the CIRCUMFERENCE is the GREATEST.

Discussion

47.	Draw a line PQ. Take a point M outside it. Through M, draw a line parallel to PQ using compas and scale
Answer» Step-by-step EXPLANATION: first of all we need to make a line using scale name P and Q and then we will make a point name M ANYWHERE .And we will DRAW a line to MATCH the point M and the line P and Q.then using compass at any LENGTH we will make a arc and at that length only we will put the compass at point M and cut the arc. Thank you.

47.

Draw a line PQ. Take a point M outside it. Through M, draw a line parallel to PQ using compas and scale

Answer»

Step-by-step EXPLANATION:

first of all we need to make a line using scale name P and Q and then we will make a point name M ANYWHERE .And we will DRAW a line to MATCH the point M and the line P and Q.then using compass at any LENGTH we will make a arc and at that length only we will put the compass at point M and cut the arc.

Thank you.

Discussion

48.	Find the value of the following expressions, whenx = -2(i) 5x - 2(ii) 52 + 5x - 2
Answer» Step-by-step EXPLANATION: GIVEN $x = - 2$ (i)5x-2 $5( - 2) - 2$ $- 10 - 2$ $- 12$ (II)52 +5x-2 $52 + 5( - 2) - 2$ $52 - 10 - 2$ $52 - 12$ $+ 40$

48.

Find the value of the following expressions, whenx = -2(i) 5x - 2(ii) 52 + 5x - 2

Answer»

Step-by-step EXPLANATION:

GIVEN

$x = - 2$

(i)5x-2

$5( - 2) - 2$

$- 10 - 2$

$- 12$

(II)52 +5x-2

$52 + 5( - 2) - 2$

$52 - 10 - 2$

$52 - 12$

$+ 40$

Discussion

49.	Ravi both wrist watch for rupees 920 and sold it for rupees 1,058. What is the gain percentage?
Answer» Answer: 15% Step-by-step EXPLANATION: profit= SALE VALUE - cost therefore profit= 1058-920= 138 profit/gain PERCENTAGE= profit/cost x 100 =138/920 x100= 15

49.

Ravi both wrist watch for rupees 920 and sold it for rupees 1,058. What is the gain percentage?

Answer»

Answer:

15%

Step-by-step EXPLANATION:

profit= SALE VALUE - cost

therefore profit= 1058-920= 138

profit/gain PERCENTAGE= profit/cost x 100

=138/920 x100= 15

Discussion

50.	The number of potatoes varies jointly as the number of mules and the number of farmers squared. if 5 mules and 5 farmers went 750 potatoes, how many potatoes went with 10 mules and 10 farmers?
Answer» ANSWER: Humm I did not UNDERSTAND QUESTION BRO

50.

The number of potatoes varies jointly as the number of mules and the number of farmers squared. if 5 mules and 5 farmers went 750 potatoes, how many potatoes went with 10 mules and 10 farmers?

Answer»

ANSWER:

Humm I did not UNDERSTAND QUESTION BRO

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