332354 + Interview Questions in Secondary School in Math

4.	A suitcase has a lock on it consisting of three numbers. Each number could be anynumber 0-9. The only restriction is that two numbers in a row cannot be the same(e.g. you couldn’t use 322 because the 2’s are adjacent but you could use 343since none of the same numbers are adjacent).
Answer» Answer: 810 i hope I'm right. Step-by-step explanation: there are 10 digits and 3 places to be filled. the first place can be any of the 10 digits. so 1st place POSSIBILITIES=10 the second place can be any of the 10 digits EXCEPT the one used in the first place, as per condition. so 2nd place possibilities=9 the third place can be any of the 10 digits, EVEN the one used in the first place but not the one used in the 2nd place. so 3RD place possibilities=9 no. of possibilities = 10×9×9 =810

4.

A suitcase has a lock on it consisting of three numbers. Each number could be anynumber 0-9. The only restriction is that two numbers in a row cannot be the same(e.g. you couldn’t use 322 because the 2’s are adjacent but you could use 343since none of the same numbers are adjacent).

Answer»

Answer:

810

i hope I'm right.

Step-by-step explanation:

there are 10 digits and 3 places to be filled.

the first place can be any of the 10 digits.

so 1st place POSSIBILITIES=10

the second place can be any of the 10 digits EXCEPT the one used in the first place, as per condition.

so 2nd place possibilities=9

the third place can be any of the 10 digits, EVEN the one used in the first place but not the one used in the 2nd place.

so 3RD place possibilities=9

no. of possibilities = 10×9×9

=810

Discussion

5.	Find length of PR please tell
Answer» ANSWER: I THINK its 15 degrees Step-by-step explanation: Hope it helps U

5.

Find length of PR please tell

Answer»

ANSWER:

I THINK its 15 degrees

Step-by-step explanation:

Hope it helps U

Discussion

6.	What is the value of x in the picture below? (NO WORK NEEDED) A) 54 B) 11 C) 16 D) 34
Answer» The ANSWER is 16 as the THING is a LINEAR pair i COULD SHOW working but...

6.

What is the value of x in the picture below? (NO WORK NEEDED) A) 54 B) 11 C) 16 D) 34

Answer»

The ANSWER is 16

as the THING is a LINEAR pair i COULD SHOW working but...

Discussion

7.	How to make a simple equation domino explain with a pic
Answer» MAKE TWO NUMBERS which has THREE NUMBER addition

Discussion

8.	2^(1/2)*4(3/4) with process please
Answer» Answer: 3 $\sqrt{2}$ Step-by-step explanation: 2^(1/2) can ALSO be WRITTEN as $\sqrt{2}$ 4(3/4) = 3 $\sqrt{2}$ * 3 = 3 $\sqrt{2}$

8.

2^(1/2)*4(3/4) with process please

Answer»

Answer:

3 $\sqrt{2}$

Step-by-step explanation:

2^(1/2) can ALSO be WRITTEN as $\sqrt{2}$

4(3/4) = 3

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

Discussion

9.	01. A rational number between 3 and 4 is
Answer» A RATIONAL NUMBERS between 3AND 4 is infinite NUMBER

9.

01. A rational number between 3 and 4 is

Answer»

A RATIONAL NUMBERS between 3AND 4 is

infinite NUMBER

Discussion

10.	1 pointA ladder 12 m long just reaches the top of a vertical wall. If the ladder makes an angle of 30 with the wall then the height of the wall is
Answer» YES you can SEARCH in GOOGLE

10.

1 pointA ladder 12 m long just reaches the top of a vertical wall. If the ladder makes an angle of 30 with the wall then the height of the wall is

Answer»

YES you can SEARCH in GOOGLE

Discussion

11.	Hey brainlies!!How are you doing all?Let's solve this question as fast as possible.The radious of a vegetable garden is 63m. If 1188m of wireis given to fence around it, how many rounds offencing can be made?Right answer will be followed by me and many more,brainleast answer,thank etc.
Answer» 9.4285714285714 ROUND is the ANSWER of your QUESTION

Discussion

12.	How to download whole book pdf of rd sharma class 8 pls tell from google
Answer» ANSWER: HII my dear friend FOLLOW me Subscribe my channel

12.

How to download whole book pdf of rd sharma class 8 pls tell from google

Answer»

ANSWER:

HII my dear friend

FOLLOW me

Subscribe my channel

Discussion

13.	Find the volume of wood required for making the open the box which is 17.5 cm long , 14 cm wide and 10 cm high, if the wood is 7.5 mm thick.
Answer» ANSWER: MULTIPLY the VALUES to FIND VOLUMES.............

13.

Find the volume of wood required for making the open the box which is 17.5 cm long , 14 cm wide and 10 cm high, if the wood is 7.5 mm thick.

Answer»

ANSWER:

MULTIPLY the VALUES to FIND VOLUMES.............

Discussion

14.	Find the nature of roots of x square – 3x - 10 = 0.
Answer» ANSWER: Step-by-step explanation: your answer:- x2-3x-10=0 taking out factors which comes out to be -5 and 2 so (x2-5x)+(2x-10)=0 x(x-5)+2(x-5)=0 (x+2)(x-5)=0 1) x+2=0 x=-2 2)x-5=0 x=5 answer :- -2 and 5

14.

Find the nature of roots of x square – 3x - 10 = 0.

Answer»

ANSWER:

Step-by-step explanation:

your answer:-

x2-3x-10=0

taking out factors which comes out to be -5 and 2

so

(x2-5x)+(2x-10)=0

x(x-5)+2(x-5)=0

(x+2)(x-5)=0

1) x+2=0

x=-2

2)x-5=0

x=5

answer :- -2 and 5

Discussion

15.	There are ______ rational numbers between 3 and 5
Answer» ANSWER: there are ______ RATIONAL NUMBERS between 3 and 5 answer=infinite

15.

There are ______ rational numbers between 3 and 5

Answer»

ANSWER:

there are ______ RATIONAL NUMBERS between 3 and 5

answer=infinite

Discussion

16.	Find length of PQ please fast
Answer» Answer: Let A2Q be x In TRI PA1Q - tan 30 = PQ/A1Q 1/ROOT 3 = PQ/ 3+x ........1 PQ= (3+x) root 3/ 3 Now In TRI PA2Q - Tan 60 =PQ/A2Q root 3 = PQ / x.........2 Putting value of PQ from EQUATION ...1 in .....2 Root 3 = (3+x) root 3 / 3X x=3/2 =A2Q Now Tan 60 = PQ/x .....2 root 3 = 2×PQ/3 PQ= 3/2 × root 3 PQ= 2.6 approx If you like my answer please mark me as brainliest. . .

16.

Find length of PQ please fast

Answer»

Answer:

Let A2Q be x

In TRI PA1Q -

tan 30 = PQ/A1Q

1/ROOT 3 = PQ/ 3+x ........1

PQ= (3+x) root 3/ 3

Now

In TRI PA2Q -

Tan 60 =PQ/A2Q

root 3 = PQ / x.........2

Putting value of PQ from EQUATION ...1 in .....2

Root 3 = (3+x) root 3 / 3X

x=3/2 =A2Q

Now

Tan 60 = PQ/x .....2

root 3 = 2×PQ/3

PQ= 3/2 × root 3

PQ= 2.6 approx

If you like my answer please mark me as brainliest. . .

Discussion

17.	Ce23. When the numerator of a fractionis increased by 4, the fractionincreases by 2/3what is thedenominator of the fraction?(2) 7(4) None of these(3) 8
Answer» HLO BUDDY, I THINK so 7 buddy.

17.

Ce23. When the numerator of a fractionis increased by 4, the fractionincreases by 2/3what is thedenominator of the fraction?(2) 7(4) None of these(3) 8

Answer»

HLO BUDDY,

I THINK so 7 buddy.

Discussion

18.	24. If one angle of triangle is equal to the sum of the other two then triangle is(a) acute a triangle(b) obtuse triangle(c) right triangle(d) None of these
Answer» Answer: OBTUSE TRIANGLE Step-by-step explanation: obtuse triangle has 120 DEGREE so equal to SUM of other TWO side

18.

24. If one angle of triangle is equal to the sum of the other two then triangle is(a) acute a triangle(b) obtuse triangle(c) right triangle(d) None of these

Answer»

Answer:

OBTUSE TRIANGLE

Step-by-step explanation:

obtuse triangle has 120 DEGREE so equal to SUM of other TWO side

Discussion

19.	Cosec A= ___________
Answer» ANSWER: $\csc(x) = \sqrt{1 + { \cot(x) }^{2} } \\ \csc(x) = \frac{1}{ \sin(x) } \\ \csc(x) = \sec( \frac{\pi}{2} - x )$ HOPE it HELPS U.... ^_^

19.

Cosec A= ___________

Answer»

ANSWER:

$\csc(x) = \sqrt{1 + { \cot(x) }^{2} } \\ \csc(x) = \frac{1}{ \sin(x) } \\ \csc(x) = \sec( \frac{\pi}{2} - x )$

HOPE it HELPS U.... ^_^

Discussion

20.	P is a rational number true or false
Answer» ANSWER:true Step-by-step EXPLANATION:

20.

P is a rational number true or false

Answer»

ANSWER:true

Step-by-step EXPLANATION:

Discussion

21.	If 600=2p.3q.5r. , then find p+q+r
Answer» Step-by-step explanation: 600= 2×p.3×q.5.r r=10 q=1 p=2 600=2× 2.3×1.5×10 600=600

21.

If 600=2p.3q.5r. , then find p+q+r

Answer»

Step-by-step explanation:

600= 2×p.3×q.5.r

r=10

q=1

p=2

600=2× 2.3×1.5×10

600=600

Discussion

22.	Find the greatest fraction 3/5 and 11/15
Answer» 11/15 . . . 10 *THANX* + *FOLLOW* = *INBOX*

22.

Find the greatest fraction 3/5 and 11/15

Answer»

11/15

.

10 THANX + FOLLOW = INBOX

Discussion

23.	Compound interestprincipal rs 300000rate 25%time 10 years what agger 10 year you amount
Answer» Answer: 34152×45263+5536=453663÷325

23.

Compound interestprincipal rs 300000rate 25%time 10 years what agger 10 year you amount

Answer»

Answer:

34152×45263+5536=453663÷325

Discussion

24.	What is the percentage of 20
Answer» ANSWER: 0.2 is the answer to that

24.

What is the percentage of 20

Answer»

ANSWER:

0.2 is the answer to that

Discussion

25.	The smallest naimber when it divided 28,52 and 36 it providesremainder 3 in eachfind the number
Answer» ANSWER: Step-by-step EXPLANATION: dghj

25.

The smallest naimber when it divided 28,52 and 36 it providesremainder 3 in eachfind the number

Answer»

ANSWER:

Step-by-step EXPLANATION:

dghj

Discussion

26.	A person can solve 500 defects a day then how many persons required for 100000 defects?
Answer» SOLUTION GIVEN A person can solve 500 DEFECTS a day TO DETERMINE The persons required for 100000 defects EVALUATION Here it is given that a person can solve 500 defects a day We have to find the number of persons required for 100000 defects Since a person can solve 500 defects a day So the required number of persons required for 100000 defects $\displaystyle \sf{ = \frac{100000}{500} }$ $\displaystyle \sf{ = \frac{1000}{5} }$ $\displaystyle \sf{ = 200 }$ ━━━━━━━━━━━━━━━━ Learn more from Brainly :- 1. Kyle owns an orchard nearby. He wants to charge one FLAT rate PER pound for his apples no matter how much someone buys. ... brainly.in/question/40419271 2. ISABELLA belongs to a fitness club. she paid an inital fee of 50 when she joined and also pays 10 per month. brainly.in/question/40648040

26.

A person can solve 500 defects a day then how many persons required for 100000 defects?

Answer»

SOLUTION

GIVEN

A person can solve 500 DEFECTS a day

TO DETERMINE

The persons required for 100000 defects

EVALUATION

Here it is given that a person can solve 500 defects a day

We have to find the number of persons required for 100000 defects

Since a person can solve 500 defects a day

So the required number of persons required for 100000 defects

$\displaystyle \sf{ = \frac{100000}{500} }$

$\displaystyle \sf{ = \frac{1000}{5} }$

$\displaystyle \sf{ = 200 }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Kyle owns an orchard nearby. He wants to charge one FLAT rate PER pound for his apples no matter how much someone buys. ...

brainly.in/question/40419271

2. ISABELLA belongs to a fitness club. she paid an inital fee of 50 when she joined and also pays 10 per month.

brainly.in/question/40648040

Discussion

27.	0 In which of the following pairs , whichnumber isto the right oftheother on the numberline ?a) 2.0 (b)-3,- 8(c)0,-1(d)-11, 10 (e) -6,6 (f) 1, -100
Answer» ANSWER: In the following given pairs the NUMBER that is to the right of the other number on the number LINE are as FOLLOW:- a) 2,0 d)-11,10 e)-6,6

27.

0 In which of the following pairs , whichnumber isto the right oftheother on the numberline ?a) 2.0 (b)-3,- 8(c)0,-1(d)-11, 10 (e) -6,6 (f) 1, -100

Answer»

ANSWER:

In the following given pairs the NUMBER that is to the right of the other number on the number LINE are as FOLLOW:-

a) 2,0

d)-11,10

e)-6,6

Discussion

28.	is a root of the equation , then the value of k is
Answer» Answer: The value of K is 2.1 To find the value of K the FIRST thing to be done is to observe the quadratic equation given and then substitute the value of the X and equate it to zero then the value of K will be found. Let Z be the ROOT of the equation F(X), then F(Z) = 0. SIMILARLY, when we substitute in the given equation which results the value should be zero.

28.

is a root of the equation , then the value of k is

Answer»

Answer:

The value of K is 2.1

To find the value of K the FIRST thing to be done is to observe the quadratic equation given and then substitute the value of the X and equate it to zero then the value of K will be found.

Let Z be the ROOT of the equation F(X), then F(Z) = 0. SIMILARLY, when we substitute in the given equation which results the value should be zero.

Discussion

29.	STATE AND EXPLAIN ARCHIMEDES PRINCIPAL WITH SUITABLE EXAMPLE GIVE ITS APPLICATION
Answer» Step-by-step explanation: Archimedes' Principle : When a SOLID body is partially are completely immersed in a fluid, the fluid exerts an upward force on the body, whose magnitude is equal to the weight of the displaced fluid. ... Example, a ship FLOATS on water due to the Archimedes principle. Archimedes' principle is very useful for calculating the VOLUME of an OBJECT that does not have a regular shape. The oddly shaped object can be submerged, and the volume of the fluid displaced is equal to the volume of the object. It can also be used in calculating the density or specific gravity of an object. pls mark as brainliest

29.

STATE AND EXPLAIN ARCHIMEDES PRINCIPAL WITH SUITABLE EXAMPLE GIVE ITS APPLICATION

Answer»

Step-by-step explanation:

Archimedes' Principle : When a SOLID body is partially are completely immersed in a fluid, the fluid exerts an upward force on the body, whose magnitude is equal to the weight of the displaced fluid. ... Example, a ship FLOATS on water due to the Archimedes principle.

Archimedes' principle is very useful for calculating the VOLUME of an OBJECT that does not have a regular shape. The oddly shaped object can be submerged, and the volume of the fluid displaced is equal to the volume of the object. It can also be used in calculating the density or specific gravity of an object.

pls mark as brainliest

Discussion

30.	1. Find the medianof the following dataclass Interval 25-50 50-75 75-100 100-125 125-150 150-175 175-200frequncy 2 6 20 31 17 10 4
Answer» ANSWER: Step-by-step EXPLANATION: Classes: 0 – 50 50 – 100 100 – 150 150 – 200 200 – 250 250 – 300 300 – 350 Frequency: 2 3 5 6 5 3 1

30.

1. Find the medianof the following dataclass Interval 25-50 50-75 75-100 100-125 125-150 150-175 175-200frequncy 2 6 20 31 17 10 4

Answer»

ANSWER:

Step-by-step EXPLANATION:

Classes:

0 – 50

50 – 100

100 – 150

150 – 200

200 – 250

250 – 300

300 – 350

Frequency:

2

3

5

6

5

3

1

Discussion

31.	The point (2, 3) divides the line joining (1, 2) and (5, 6) in the ratio ......
Answer» ANSWER: .................................

31.

The point (2, 3) divides the line joining (1, 2) and (5, 6) in the ratio ......

Answer»

ANSWER:

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

Discussion

32.	In ∆ABC, prove that sin(B-C/2)=(b-c/a)cosA/2
Answer» ANSWER: see the answer Step-by-step EXPLANATION: PLS MARK BRAINLIEST

32.

In ∆ABC, prove that sin(B-C/2)=(b-c/a)cosA/2

Answer»

ANSWER:

see the answer

Step-by-step EXPLANATION:

PLS MARK BRAINLIEST

Discussion

33.	Find the Greatest Fraction 3/5 and 11/15
Answer» Answer: 11/15 is GREATEST NUB Step-by-step explanation: 11/15

33.

Find the Greatest Fraction 3/5 and 11/15

Answer»

Answer:

11/15 is GREATEST NUB

Step-by-step explanation:

11/15

Discussion

34.	Which of the following is not a linear equation in one variable? A. 3x+yB. 3z+4C. 7y+2
Answer» Answer: 3x+y Step-by-step EXPLANATION: everyevery other linear EQUATION contains a number which is NECESSARY to FIND a solution A. doesn't contain it so it is not a linear equation

34.

Which of the following is not a linear equation in one variable? A. 3x+yB. 3z+4C. 7y+2

Answer»

Answer:

3x+y

Step-by-step EXPLANATION:

everyevery other linear EQUATION contains a number which is NECESSARY to FIND a solution A. doesn't contain it so it is not a linear equation

Discussion

35.	The product of the HCF and LCM of 9 and 11 is
Answer» HCF × LCM = PRODUCT of two NUMBERS = 9×11 = 99

35.

The product of the HCF and LCM of 9 and 11 is

Answer»

HCF × LCM = PRODUCT of two NUMBERS

= 9×11

= 99

Discussion

36.	The product of hcf and lcm of 2 numbers is 150 .if one number is 15 then the other number is
Answer» ANSWER: Step-by-step explanation: The FORMULA to be used is HCF * LCM = NUMBER1 * Number 2 Product of 2 numbers = 150 Number 1 = 15 Number 2 = ? 150 =15*? 150/15=? 10 =? The second number is 10 HCF=5 and LCM =30

36.

The product of hcf and lcm of 2 numbers is 150 .if one number is 15 then the other number is

Answer»

ANSWER:

Step-by-step explanation:

The FORMULA to be used is

HCF * LCM = NUMBER1 * Number 2

Product of 2 numbers = 150

Number 1 = 15

Number 2 = ?

150 =15*?

150/15=?

10 =?

The second number is 10

HCF=5 and LCM =30

Discussion

37.	Find Rationale number between 3 by 5 and 4 by 5
Answer» Answer: this is your wanted answer of the question Find the RATIONAL no. b/w 3 by 5 and 4 by 5 1/5, 7/10

37.

Find Rationale number between 3 by 5 and 4 by 5

Answer»

Answer:

this is your wanted answer of the question

Find the RATIONAL no. b/w 3 by 5 and 4 by 5

1/5, 7/10

Discussion

38.	What is the hcf of 1215 and 2349
Answer» answer a=bq+r 2349=1215×1=1134 1215=1134×1=81 1134=81×14+0 hcf=81„ Step-by-step EXPLANATION: PLEASE MARK me as BRAINLIEST

38.

What is the hcf of 1215 and 2349

Answer»

answer

a=bq+r

2349=1215×1=1134

1215=1134×1=81

1134=81×14+0

hcf=81„

Step-by-step EXPLANATION:

PLEASE MARK me as BRAINLIEST

Discussion

39.	Find 3 solution of linear equation in two variable x + y =4
Answer» Step-by-step explanation: When X is 1 1+y = 4 y= 3 .... when x is 2 2+y = 4 y=2 ..... when x is 0 0 + y = 4 y = 4. THATS THE ANSWER MARK ME AS A BRAINLIST!

39.

Find 3 solution of linear equation in two variable x + y =4

Answer»

Step-by-step explanation:

When X is 1

1+y = 4

y= 3

....

when x is 2

2+y = 4

y=2

.....

when x is 0

0 + y = 4

y = 4.

THATS THE ANSWER

MARK ME AS A BRAINLIST!

Discussion

40.	Pif 3000 to find the cost
Answer» Answer: 3000 Step-by-step explanation: 2019+2019+2020+2020+2020×600010×13-12340=3000

40.

Pif 3000 to find the cost

Answer»

Answer:

3000

Step-by-step explanation:

2019+2019+2020+2020+2020×600010×13-12340=3000

Discussion

41.	Express no in power notation 125/521
Answer» ANSWER: ${103 < > \geqslant \\ }^{?}$

41.

Express no in power notation 125/521

Answer»

ANSWER:

${103 < > \geqslant \\ }^{?}$

Discussion

42.	The range of λ for which λx2 – 5x – 4 < 0 ∀ x ∈ R, is
Answer» ANSWER: $45xy \sqrt[ \frac{1 \div 5123 \div = 23}{?} ]{?}$ Step-by-step EXPLANATION: so ANS $\sqrt[56]{?}$ 3

42.

The range of λ for which λx2 – 5x – 4 < 0 ∀ x ∈ R, is

Answer»

ANSWER:

$45xy \sqrt[ \frac{1 \div 5123 \div = 23}{?} ]{?}$

Step-by-step EXPLANATION:

so ANS

$\sqrt[56]{?}$

3

Discussion

43.	Y square=16, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers.
Answer» Answer: square=16 , In the given EQUATION, FIND WHETHER variables x, y, z etc. REPRESENT rational or IRRATIONAL numbe square=16 , In the given equation, find whether variables x, y, z etc. represent rational or irrational square=16 , In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers..

43.

Y square=16, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers.

Answer»

Answer:

square=16

, In the given EQUATION, FIND WHETHER variables x, y, z etc. REPRESENT rational or IRRATIONAL numbe

square=16

, In the given equation, find whether variables x, y, z etc. represent rational or irrational square=16

, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers..

Discussion

44.	The present age of saheel's mother is 3 times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present ages.1 point
Answer» $\sf\large\underline\blue{Let:}$ $\tt{\implies The\: present\:age\:_{(Saheel's\:<klux>MOTHER</klux>)}=x}$ $\tt{\implies The\: present\:age\:_{(saheel)}=y}$ $\sf\large\underline\blue{To\: Find:}$ $\tt{\implies The\: present\:age\:_{(saheel\:and\:mother)}=?}$ $\sf\large\underline\blue{Solution:}$ To calculate the present age of Saheel and his mother at FIRST we have to set up equations as per the given CLUE in the question then solve those equation after that we get their parent age] $\sf\small\underline\purple{Given\:in\:case\:(1):}$ The present age of Saheel's mother is 3 TIMES the present age of Sahil] $\tt{\implies Mother's\:age=3\times\:of\:saheel's\:age}$ $\tt{\implies x=3y--------(1)}$ $\sf\small\underline\purple{Given\:in\:case\:(2):}$ After 5 YEARS their ages will be equal to 66 years.] $\tt{\implies (x+5)+(y+5)=66}$ $\tt{\implies x+y+10=66}$ $\tt{\implies x+y=66-10}$ $\tt{\implies x+y=56------(2)}$ Putting the value of x=3y in EQ (2) here:] $\tt{\implies x+y=56}$ $\tt{\implies 3y+y=56}$ $\tt{\implies 4y=56\implies y=14}$ Putting the value of y=14 in eq (2) ] $\tt{\implies x+y=56}$ $\tt{\implies x+14=56}$ $\tt{\implies x=56-14\implies x=42}$ $\sf\large{Hence,}$ $\tt{\implies The\: present\:age\:_{(Saheel's\:mother)}=42\: years}$ $\tt{\implies The\: present\:age\:_{(Saheel)}=14\: years}$

44.

The present age of saheel's mother is 3 times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present ages.1 point

Answer»

$\sf\large\underline\blue{Let:}$

$\tt{\implies The\: present\:age\:_{(Saheel's\:<klux>MOTHER</klux>)}=x}$

$\tt{\implies The\: present\:age\:_{(saheel)}=y}$

$\sf\large\underline\blue{To\: Find:}$

$\tt{\implies The\: present\:age\:_{(saheel\:and\:mother)}=?}$

$\sf\large\underline\blue{Solution:}$

To calculate the present age of Saheel and his mother at FIRST we have to set up equations as per the given CLUE in the question then solve those equation after that we get their parent age]

$\sf\small\underline\purple{Given\:in\:case\:(1):}$

The present age of Saheel's mother is 3 TIMES the present age of Sahil]

$\tt{\implies Mother's\:age=3\times\:of\:saheel's\:age}$

$\tt{\implies x=3y--------(1)}$

$\sf\small\underline\purple{Given\:in\:case\:(2):}$

After 5 YEARS their ages will be equal to 66 years.]

$\tt{\implies (x+5)+(y+5)=66}$

$\tt{\implies x+y+10=66}$

$\tt{\implies x+y=66-10}$

$\tt{\implies x+y=56------(2)}$

Putting the value of x=3y in EQ (2) here:]

$\tt{\implies x+y=56}$

$\tt{\implies 3y+y=56}$

$\tt{\implies 4y=56\implies y=14}$

Putting the value of y=14 in eq (2) ]

$\tt{\implies x+y=56}$

$\tt{\implies x+14=56}$

$\tt{\implies x=56-14\implies x=42}$

$\sf\large{Hence,}$

$\tt{\implies The\: present\:age\:_{(Saheel's\:mother)}=42\: years}$

$\tt{\implies The\: present\:age\:_{(Saheel)}=14\: years}$

Discussion

45.	Amount when interest is compound annually is given by
Answer» ANSWER: MATLAB KAY jai I ska plz RIGHT FULLY

45.

Amount when interest is compound annually is given by

Answer»

ANSWER:

MATLAB KAY jai I ska

plz RIGHT FULLY

Discussion

46.	Calculate the standard deviation and its coefficient from the given data: 10, 12, 17, 5, 11, 8, 5, 6, 7, 4
Answer» Answer: 85 Step-by-step EXPLANATION: because it is ADDICTION

46.

Calculate the standard deviation and its coefficient from the given data: 10, 12, 17, 5, 11, 8, 5, 6, 7, 4

Answer»

Answer:

85

Step-by-step EXPLANATION:

because it is ADDICTION

Discussion

47.	Find the square of the following using the identity ( a+b)=a2+2ab+b2. 102
Answer» Answer: 10404 Step-by-step explanation: 102=(100+2) Now, (100+2)² (a+b)²=a²+b²+2ab Therefore, (100+2)²=100²+2²+2×100×2 =10000+4+400 =10404 Therefore, 102²( i.e 100+2 )²=10404

47.

Find the square of the following using the identity ( a+b)=a2+2ab+b2. 102

Answer»

Answer:

10404

Step-by-step explanation:

102=(100+2)

Now, (100+2)²

(a+b)²=a²+b²+2ab

Therefore,

(100+2)²=100²+2²+2×100×2

=10000+4+400

=10404

Therefore, 102²( i.e 100+2 )²=10404

Discussion

48.	Find the number when divided by 25 gives the quotient 15 and reminder 8?
Answer» Answer: 383 Step-by-step EXPLANATION:

48.

Find the number when divided by 25 gives the quotient 15 and reminder 8?

Answer»

Answer:

383

Step-by-step EXPLANATION:

Discussion

49.	Population of a town reduced by 10% in the first year and increased by 30% in the next year after 2 years it become 11700. What was the original population of the town?
Answer» Step-by-step EXPLANATION: Let the SIZE of population at the BEGINNING =x Then x× 100 105 × 100 95 =9975 ⇒x= 105×95 9975×100×100 ⇒x= 9975 9975×100×100 ⇒x=10000

49.

Population of a town reduced by 10% in the first year and increased by 30% in the next year after 2 years it become 11700. What was the original population of the town?

Answer»

Step-by-step EXPLANATION:

Let the SIZE of population at the BEGINNING =x

Then x×

100

105

×

100

95

=9975

⇒x=

105×95

9975×100×100

⇒x=

9975

9975×100×100

⇒x=10000

Discussion

50.	D/dx((sinx+cosx)/(sinx-cosx))
Answer» Step-by-step EXPLANATION: LET $y = \frac{ \sin(x) + \cos(x) }{ \sin(x ) - \cos(x) }$ $= > \frac{dy}{dx} = \frac{( \sin(x) - \cos(x) ). \frac{dy}{dx} ( \sin(x) + \cos(x)) - ( \sin(x) + \cos(x)). \frac{dy}{dx} ( \sin(x) - \cos(x)) }{ {( \sin(x) - \cos(x) )}^{2} }$ $\frac{dy}{dx} = \frac{ ( \sin(x) - \cos(x) )( \cos(x) - \sin(x)) - ( \sin(x) + \cos(x) )( \cos(x) + \sin(x) )}{ {( \sin(x) - \cos(x) ) }^{2} }$ $\frac{dy}{dx} = \frac{{( \sin(x) + \cos(x) ) }^{2} - {( \sin(x) - \cos(x) )}^{2} }{{( \sin(x) - \cos(x) )}^{2}}$ $\frac{dy}{dx} = \frac{4 \sin(x) \cos(x) }{ \sin^{2} (x) + \cos^{2} (x) - 2 \sin(x) \cos(x) }$ $= \frac{dy}{dx} = \frac{4 \sin(x) \cos(x) }{1 - 2 \sin(x) \cos(x) }$ HOPE this will HELP you

50.

D/dx((sinx+cosx)/(sinx-cosx))

Answer»

Step-by-step EXPLANATION:

LET

$y = \frac{ \sin(x) + \cos(x) }{ \sin(x ) - \cos(x) }$

$= > \frac{dy}{dx} = \frac{( \sin(x) - \cos(x) ). \frac{dy}{dx} ( \sin(x) + \cos(x)) - ( \sin(x) + \cos(x)). \frac{dy}{dx} ( \sin(x) - \cos(x)) }{ {( \sin(x) - \cos(x) )}^{2} }$

$\frac{dy}{dx} = \frac{ ( \sin(x) - \cos(x) )( \cos(x) - \sin(x)) - ( \sin(x) + \cos(x) )( \cos(x) + \sin(x) )}{ {( \sin(x) - \cos(x) ) }^{2} }$

$\frac{dy}{dx} = \frac{{( \sin(x) + \cos(x) ) }^{2} - {( \sin(x) - \cos(x) )}^{2} }{{( \sin(x) - \cos(x) )}^{2}}$

$\frac{dy}{dx} = \frac{4 \sin(x) \cos(x) }{ \sin^{2} (x) + \cos^{2} (x) - 2 \sin(x) \cos(x) }$

$= \frac{dy}{dx} = \frac{4 \sin(x) \cos(x) }{1 - 2 \sin(x) \cos(x) }$

HOPE this will HELP you

Discussion

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